%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP009^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:53:16 AM UTC 2026
% Result : Theorem 165.16s 24.84s
% Output : Refutation 165.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 150 ( 36 unt; 0 typ; 4 def)
% Number of atoms : 1045 ( 367 equ; 0 cnn)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 12904 ( 178 ~; 219 |; 73 &;12401 @)
% ( 12 <=>; 20 =>; 0 <=; 1 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 64 usr; 36 con; 0-4 aty)
% Number of variables : 578 ( 0 ^; 504 !; 74 ?; 578 :)
% 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_2Equotient_2E_2D_2D_3E_2E0: u ).
thf(func_def_13,type,
c_2Equotient_2E_2D_2D_3E_2E2: du > du > u ).
thf(func_def_14,type,
c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u ).
thf(func_def_15,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_16,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_17,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_18,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_19,type,
c_2Equotient_2E_3D_3D_3D_3E_2E0: u ).
thf(func_def_20,type,
c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u ).
thf(func_def_21,type,
c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u ).
thf(func_def_22,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_23,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_24,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_25,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_26,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_27,type,
c_2Equotient_2EQUOTIENT_2E0: u ).
thf(func_def_28,type,
c_2Equotient_2EQUOTIENT_2E3: du > du > du > u ).
thf(func_def_29,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_30,type,
c_2Ecombin_2EW_2E0: u ).
thf(func_def_31,type,
c_2Ecombin_2EW_2E2: du > du > u ).
thf(func_def_32,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_33,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_34,type,
c_2Equotient_2Erespects_2E0: u ).
thf(func_def_35,type,
c_2Equotient_2Erespects_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_56,type,
sK0: u ).
thf(func_def_57,type,
sK1: u ).
thf(func_def_58,type,
sK2: d ).
thf(func_def_59,type,
sK3: d ).
thf(func_def_60,type,
sK4: d ).
thf(func_def_61,type,
sK5: d ).
thf(func_def_62,type,
sK6: u ).
thf(func_def_63,type,
sK7: u ).
thf(func_def_64,type,
sK8: u ).
thf(func_def_65,type,
sK9: u ).
thf(func_def_66,type,
sK10: u ).
thf(func_def_67,type,
sK11: u ).
thf(func_def_68,type,
sK12: d > u > u > d > u ).
thf(f4603,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f194,f203,f214,f215,f4295,f4319,f4394,f4602]) ).
thf(f4602,plain,
( ~ spl13_1
| spl13_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f4601]) ).
thf(f4601,plain,
( $false
| ~ spl13_1
| spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f4600]) ).
thf(f4600,plain,
( ( $true = $false )
| ~ spl13_1
| spl13_4 ),
inference(backward_demodulation,[status(thm)],[f4315,f4599]) ).
thf(f4599,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $false )
| spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f4598]) ).
thf(f4598,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $false )
| ( $true != $true )
| spl13_4 ),
inference(superposition,[status(thm)],[f213,f206]) ).
thf(f206,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false ) ),
inference(forward_demodulation,[status(thm)],[f205,f143]) ).
thf(f143,plain,
! [X2: d,X3: u,X0: u,X1: d] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ X3 ) ) ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X2 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ X3 ) @ ( s @ X1 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
thf(f113,plain,
! [X0: u,X1: d,X2: d,X3: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ X3 ) ) ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X2 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ X3 ) @ ( s @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f90]) ).
thf(f90,plain,
! [X0: u,X1: d,X3: d,X2: u] :
( ( s @ X3 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X3 ) ) @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X3 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X3 ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X3 ) ) @ X2 ) ) ) @ ( s @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f30]) ).
thf(f30,axiom,
! [X15: u,X0: d,X13: u,X1: d] :
( ( s @ X1 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X13 ) @ ( s @ X0 @ X15 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X13 ) ) ) @ ( s @ X0 @ X15 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
thf(f205,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f177,f140]) ).
thf(f140,plain,
! [X0: d,X1: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ c_2Equotient_2Erespects_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ c_2Ecombin_2EW_2E0 ) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
thf(f89,plain,
! [X0: d,X1: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ c_2Equotient_2Erespects_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ ( tyop_2Emin_2Efun @ X1 @ X0 ) ) @ c_2Ecombin_2EW_2E0 ) ),
inference(rectify,[status(thm)],[f44]) ).
thf(f44,axiom,
! [X1: d,X0: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ c_2Ecombin_2EW_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ c_2Equotient_2Erespects_2E0 ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2Erespects__def) ).
thf(f177,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f142]) ).
thf(f142,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
thf(f112,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f84]) ).
thf(f84,plain,
! [X1: d,X3: u,X2: d,X0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X0 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f31]) ).
thf(f31,axiom,
! [X15: u,X0: d,X1: d,X13: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X15 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ X13 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X15 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool) ).
thf(f213,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| spl13_4 ),
inference(avatar_component_clause,[status(thm)],[f211]) ).
thf(f211,definition,
( spl13_4
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl13_4])],[avatar_definition]) ).
thf(f4315,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_1 ),
inference(trivial_inequality_removal,[status(thm)],[f4298]) ).
thf(f4298,plain,
( ( $true = $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_1 ),
inference(superposition,[status(thm)],[f189,f948]) ).
thf(f948,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f940]) ).
thf(f940,plain,
! [X0: u,X1: u] :
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false ) ),
inference(superposition,[status(thm)],[f436,f879]) ).
thf(f879,plain,
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK4 ) @ sK0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) ) ) )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f877]) ).
thf(f877,plain,
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK4 ) @ sK0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f855,f138]) ).
thf(f138,plain,
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK4 ) @ sK0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
thf(f109,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK4 ) @ sK0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) ) ) ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
= $true )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f105,f108,f107,f106]) ).
thf(f106,plain,
( ? [X0: u,X1: u,X2: d,X3: d,X4: d,X5: d,X6: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X4 ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) ) ) ) )
& ? [X7: u,X8: u,X9: u] :
( ? [X10: u,X11: u] :
( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) ) ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
= $true )
& ( ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X8 ) ) ) )
= $true ) ) )
=> ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK4 ) @ sK0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) ) ) ) )
& ? [X9: u,X8: u,X7: u] :
( ? [X11: u,X10: u] :
( ( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
!= $true ) )
& ( ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
= $true ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ X8 ) ) ) )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f107,plain,
( ? [X9: u,X8: u,X7: u] :
( ? [X11: u,X10: u] :
( ( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
!= $true ) )
& ( ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
= $true ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ X8 ) ) ) )
= $true ) )
=> ( ? [X11: u,X10: u] :
( ( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) ) )
& ( ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f108,plain,
( ? [X11: u,X10: u] :
( ( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) ) )
& ( ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X11 ) ) ) ) ) ) )
=> ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
= $true )
& ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f105,plain,
? [X0: u,X1: u,X2: d,X3: d,X4: d,X5: d,X6: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X4 ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) ) ) ) )
& ? [X7: u,X8: u,X9: u] :
( ? [X10: u,X11: u] :
( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) ) ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) )
= $true )
& ( ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X3 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X5 ) @ X11 ) ) ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X8 ) ) ) )
= $true ) ) ),
inference(rectify,[status(thm)],[f104]) ).
thf(f104,plain,
? [X5: u,X4: u,X2: d,X1: d,X3: d,X0: d,X6: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) ) ) ) )
& ? [X9: u,X8: u,X7: u] :
( ? [X10: u,X11: u] :
( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
!= $true ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) ) ) )
= $true ) ) ),
inference(flattening,[status(thm)],[f103]) ).
thf(f103,plain,
? [X5: u,X4: u,X2: d,X1: d,X3: d,X0: d,X6: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) ) ) ) )
& ? [X9: u,X8: u,X7: u] :
( ? [X10: u,X11: u] :
( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
!= $true ) )
& ( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) ) ) )
= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f99]) ).
thf(f99,plain,
? [X5: u,X4: u,X2: d,X1: d,X3: d,X0: d,X6: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) ) ) ) )
& ? [X9: u,X8: u,X7: u] :
( ? [X10: u,X11: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true )
<~> ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) ) ) )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f79]) ).
thf(f79,plain,
~ ! [X2: d,X5: u,X0: d,X6: u,X4: u,X3: d,X1: d] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) ) ) ) )
=> ! [X9: u,X8: u,X7: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) ) ) )
= $true )
=> ! [X11: u,X10: u] :
( ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f78]) ).
thf(f78,plain,
~ ! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) ) ) )
=> ! [X7: u,X8: u,X9: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) ) ) )
=> ! [X10: u,X11: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X10 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X11 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f46]) ).
thf(f46,negated_conjecture,
~ ! [X1: d,X0: d,X14: d,X7: d,X29: u,X28: u,X27: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X7 ) @ X28 ) @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) ) ) )
=> ! [X31: u,X32: u,X30: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X14 @ X1 ) @ X32 ) ) ) )
=> ! [X33: u,X34: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f45,conjecture,
! [X1: d,X0: d,X14: d,X7: d,X29: u,X28: u,X27: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X7 ) @ X28 ) @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) ) ) )
=> ! [X31: u,X32: u,X30: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X14 @ X1 ) @ X32 ) ) ) )
=> ! [X33: u,X34: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) ) ) )
& ( ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X33 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EFUN__REL__EQ__REL) ).
thf(f855,plain,
! [X2: d,X3: u,X0: d,X1: u,X4: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ ( tyop_2Emin_2Efun @ X2 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ sK2 ) @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f853]) ).
thf(f853,plain,
! [X2: d,X3: u,X0: d,X1: u,X4: u] :
( ( $true != $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) @ ( tyop_2Emin_2Efun @ X2 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ sK2 ) @ ( tyop_2Emin_2Efun @ X0 @ sK5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f158,f133]) ).
thf(f133,plain,
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK5 ) @ sK8 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f109]) ).
thf(f158,plain,
! [X2: d,X3: d,X0: d,X1: d,X8: u,X6: u,X9: u,X7: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X8 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ ( tyop_2Emin_2Efun @ X0 @ X3 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X3 ) @ ( tyop_2Emin_2Efun @ X2 @ X1 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X8 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) ) ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
thf(f125,plain,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ! [X7: u,X8: u,X9: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ ( tyop_2Emin_2Efun @ X0 @ X3 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X3 ) @ ( tyop_2Emin_2Efun @ X2 @ X1 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X8 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X8 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X4 ) ) ) )
!= $true ) ),
inference(rectify,[status(thm)],[f97]) ).
thf(f97,plain,
! [X0: d,X2: d,X1: d,X3: d,X6: u,X4: u,X5: u] :
( ! [X8: u,X7: u,X9: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ X0 @ X3 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X3 ) @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) ) ) )
= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) ) ) )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f75]) ).
thf(f75,plain,
! [X6: u,X3: d,X4: u,X1: d,X0: d,X2: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) ) ) )
= $true )
=> ! [X7: u,X8: u,X9: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ X0 @ X3 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X3 ) @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) ) ) )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f74]) ).
thf(f74,plain,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) ) ) )
=> ! [X7: u,X8: u,X9: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ ( tyop_2Emin_2Efun @ X0 @ X3 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ X8 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X3 ) @ ( tyop_2Emin_2Efun @ X1 @ X2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ X7 ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f43]) ).
thf(f43,axiom,
! [X7: d,X0: d,X1: d,X14: d,X28: u,X27: u,X29: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X7 ) @ X28 ) @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) ) ) )
=> ! [X32: u,X31: u,X30: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) @ ( s @ ( tyop_2Emin_2Efun @ X14 @ X1 ) @ X32 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X27 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X30 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X31 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X7 ) @ X28 ) @ ( s @ ( tyop_2Emin_2Efun @ X14 @ X1 ) @ X32 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EFUN__QUOTIENT) ).
thf(f436,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f434]) ).
thf(f434,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f204,f198]) ).
thf(f198,plain,
! [X2: u,X3: u,X0: u,X1: u,X4: d,X5: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) )
= $true )
| ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f179,f150]) ).
thf(f150,plain,
! [X2: u,X3: d,X0: d,X1: u] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
thf(f121,plain,
! [X0: d,X1: u,X2: u,X3: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f88]) ).
thf(f88,plain,
! [X3: d,X1: u,X0: u,X2: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X3 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f23]) ).
thf(f23,axiom,
! [X15: u,X13: u,X0: d,X1: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X15 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X13 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X15 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
thf(f179,plain,
! [X2: u,X3: u,X0: u,X1: u,X4: d,X5: d] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) )
| ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f139]) ).
thf(f139,plain,
! [X2: u,X3: u,X0: u,X1: u,X4: d,X5: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
thf(f110,plain,
! [X0: u,X1: u,X2: u,X3: u,X4: d,X5: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f83]) ).
thf(f83,plain,
! [X0: u,X5: u,X3: u,X1: u,X4: d,X2: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ X1 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) ) @ X5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X4 ) @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,axiom,
! [X15: u,X17: u,X0: d,X16: u,X1: d,X13: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X15 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X17 ) ) ) )
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X13 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X15 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X16 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X17 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b) ).
thf(f204,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f146,f156]) ).
thf(f156,plain,
! [X2: d,X3: d,X0: u,X1: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X2 ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) @ ( s @ X3 @ X1 ) ) )
= ( s @ X2 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X2 ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
thf(f123,plain,
! [X0: u,X1: u,X2: d,X3: d] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X2 ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) @ ( s @ X3 @ X1 ) ) )
= ( s @ X2 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X2 ) ) @ X0 ) @ ( s @ X3 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f91]) ).
thf(f91,plain,
! [X1: u,X2: u,X0: d,X3: d] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X0 ) ) @ X1 ) @ ( s @ X3 @ X2 ) ) ) @ ( s @ X3 @ X2 ) ) )
= ( s @ X0 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ ( tyop_2Emin_2Efun @ X3 @ X0 ) ) @ X1 ) @ ( s @ X3 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f41]) ).
thf(f41,axiom,
! [X1: d,X2: u,X12: u,X0: d] :
( ( s @ X1 @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X2 ) @ ( s @ X0 @ X12 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X2 ) @ ( s @ X0 @ X12 ) ) ) @ ( s @ X0 @ X12 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Ecombin_2EW__THM) ).
thf(f146,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
thf(f119,plain,
! [X0: u,X1: d,X2: u,X3: u,X4: d] :
( ! [X5: u,X6: u] :
( ( ( ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true )
| ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
!= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f118]) ).
thf(f118,plain,
! [X3: u,X0: d,X2: u,X1: u,X4: d] :
( ! [X5: u,X6: u] :
( ( ( ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) )
| ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X4 ) @ X1 ) ) ) )
!= $true ) ),
inference(flattening,[status(thm)],[f117]) ).
thf(f117,plain,
! [X3: u,X0: d,X2: u,X1: u,X4: d] :
( ! [X5: u,X6: u] :
( ( ( ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) )
| ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X4 ) @ X1 ) ) ) )
!= $true ) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
thf(f98,plain,
! [X3: u,X0: d,X2: u,X1: u,X4: d] :
( ! [X5: u,X6: u] :
( ( ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X4 ) @ X1 ) ) ) )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: u,X4: d,X0: d,X3: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X4 ) @ X1 ) ) ) )
= $true )
=> ! [X5: u,X6: u] :
( ( ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: d,X1: u,X2: u,X3: u,X4: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X4 ) @ X1 ) ) ) )
=> ! [X5: u,X6: u] :
( ( ( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X5 ) ) )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X2 ) @ ( s @ X4 @ X6 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f42]) ).
thf(f42,axiom,
! [X1: d,X24: u,X23: u,X22: u,X0: d] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X22 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X24 ) ) ) )
=> ! [X25: u,X26: u] :
( ( ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ X0 @ X25 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ X0 @ X26 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X22 ) @ ( s @ X0 @ X25 ) ) ) @ ( s @ X0 @ X25 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X22 ) @ ( s @ X0 @ X26 ) ) ) @ ( s @ X0 @ X26 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X22 ) @ ( s @ X0 @ X25 ) ) ) @ ( s @ X0 @ X26 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EQUOTIENT__REL) ).
thf(f189,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_1 ),
inference(avatar_component_clause,[status(thm)],[f187]) ).
thf(f187,definition,
( spl13_1
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl13_1])],[avatar_definition]) ).
thf(f4394,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f4393]) ).
thf(f4393,plain,
( $false
| ~ spl13_1
| spl13_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4392]) ).
thf(f4392,plain,
( ( $true = $false )
| ~ spl13_1
| spl13_2 ),
inference(backward_demodulation,[status(thm)],[f4313,f4391]) ).
thf(f4391,plain,
( ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| spl13_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4390]) ).
thf(f4390,plain,
( ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ( $true != $true )
| spl13_2 ),
inference(superposition,[status(thm)],[f192,f206]) ).
thf(f192,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
!= $true )
| spl13_2 ),
inference(avatar_component_clause,[status(thm)],[f191]) ).
thf(f191,definition,
( spl13_2
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl13_2])],[avatar_definition]) ).
thf(f4313,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ~ spl13_1 ),
inference(trivial_inequality_removal,[status(thm)],[f4305]) ).
thf(f4305,plain,
( ( $true = $false )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ~ spl13_1 ),
inference(superposition,[status(thm)],[f947,f189]) ).
thf(f947,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f939]) ).
thf(f939,plain,
! [X0: u,X1: u] :
( ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f496,f879]) ).
thf(f496,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f494]) ).
thf(f494,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false ) ),
inference(superposition,[status(thm)],[f209,f198]) ).
thf(f209,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f147,f156]) ).
thf(f147,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
thf(f4319,plain,
( ~ spl13_1
| spl13_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f4318]) ).
thf(f4318,plain,
( $false
| ~ spl13_1
| spl13_3 ),
inference(subsumption_resolution,[status(thm)],[f4306,f201]) ).
thf(f201,plain,
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| spl13_3 ),
inference(avatar_component_clause,[status(thm)],[f200]) ).
thf(f200,definition,
( spl13_3
<=> ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_3])],[avatar_definition]) ).
thf(f4306,plain,
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ~ spl13_1 ),
inference(trivial_inequality_removal,[status(thm)],[f4296]) ).
thf(f4296,plain,
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( $true = $false )
| ~ spl13_1 ),
inference(superposition,[status(thm)],[f189,f955]) ).
thf(f955,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f954,f185]) ).
thf(f185,plain,
! [X2: d,X3: u,X0: d,X1: u,X6: d,X4: u,X5: d] :
( ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f141,f149]) ).
thf(f149,plain,
! [X2: d,X3: d,X0: d,X1: u,X4: u,X5: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X4 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X4 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
thf(f120,plain,
! [X0: d,X1: u,X2: d,X3: d,X4: u,X5: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X4 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X0 ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X4 ) ) ) ),
inference(rectify,[status(thm)],[f86]) ).
thf(f86,plain,
! [X1: d,X2: u,X4: d,X3: d,X0: u,X5: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X5 ) @ X0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X3 @ X5 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X5 ) @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,axiom,
! [X15: u,X0: d,X13: u,X7: d,X1: d,X14: d] :
( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X15 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X13 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X15 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
thf(f141,plain,
! [X2: d,X3: u,X0: d,X1: u,X6: d,X4: u,X5: d] :
( ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: d,X1: u,X2: d,X3: u,X4: u,X5: d,X6: d] :
( ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ ( tyop_2Emin_2Efun @ X2 @ X0 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X5 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X6 ) @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f82]) ).
thf(f82,plain,
! [X0: d,X2: u,X6: d,X5: u,X3: u,X1: d,X4: d] :
( ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X1 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X2 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X6 @ X0 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X6 @ X0 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X6 @ X0 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X6 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ ( tyop_2Emin_2Efun @ X6 @ X0 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ X1 ) @ X5 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X0 ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f21]) ).
thf(f21,axiom,
! [X14: d,X0: d,X16: u,X15: u,X1: d,X13: u,X7: d] :
( ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X13 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X15 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X16 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ X7 @ X14 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ X7 @ X14 ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X7 @ X0 ) @ X13 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X14 ) @ X15 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X16 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
thf(f954,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f949,f185]) ).
thf(f949,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f938]) ).
thf(f938,plain,
! [X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
= $false )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f561,f879]) ).
thf(f561,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( ( s @ X6 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) )
= ( s @ X6 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f559]) ).
thf(f559,plain,
! [X2: u,X3: u,X0: d,X1: d,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X0 @ X1 ) ) @ X8 ) ) ) ) )
| ( ( s @ X6 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) )
= ( s @ X6 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X6 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X5 ) ) ) )
= $false )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f148,f198]) ).
thf(f148,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
!= $true )
| ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
thf(f4295,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f4294]) ).
thf(f4294,plain,
( $false
| spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[status(thm)],[f4287,f188]) ).
thf(f188,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| spl13_1 ),
inference(avatar_component_clause,[status(thm)],[f187]) ).
thf(f4287,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f4282]) ).
thf(f4282,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ( $true = $false )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(superposition,[status(thm)],[f4159,f197]) ).
thf(f197,plain,
! [X2: u,X3: u,X0: u,X1: u,X4: d,X5: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) )
= $false )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f180,f150]) ).
thf(f180,plain,
! [X2: u,X3: u,X0: u,X1: u,X4: d,X5: d] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X5 @ X4 ) @ X3 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f139]) ).
thf(f4159,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[status(thm)],[f4157,f223]) ).
thf(f223,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ~ spl13_2 ),
inference(trivial_inequality_removal,[status(thm)],[f221]) ).
thf(f221,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ( $true = $false )
| ~ spl13_2 ),
inference(superposition,[status(thm)],[f208,f193]) ).
thf(f193,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
= $true )
| ~ spl13_2 ),
inference(avatar_component_clause,[status(thm)],[f191]) ).
thf(f208,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f207,f143]) ).
thf(f207,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f178,f140]) ).
thf(f178,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ tyop_2Emin_2Ebool ) ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X2 ) @ X3 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f142]) ).
thf(f4157,plain,
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_3
| ~ spl13_4 ),
inference(equality_resolution,[status(thm)],[f3860]) ).
thf(f3860,plain,
( ! [X0: u] :
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) ) ) )
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[status(thm)],[f3856,f227]) ).
thf(f227,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f225]) ).
thf(f225,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ( $true = $false )
| ~ spl13_4 ),
inference(superposition,[status(thm)],[f208,f212]) ).
thf(f212,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ~ spl13_4 ),
inference(avatar_component_clause,[status(thm)],[f211]) ).
thf(f3856,plain,
( ! [X0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true ) )
| ~ spl13_3 ),
inference(superposition,[status(thm)],[f953,f202]) ).
thf(f202,plain,
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ~ spl13_3 ),
inference(avatar_component_clause,[status(thm)],[f200]) ).
thf(f953,plain,
! [X0: u,X1: u] :
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f952,f185]) ).
thf(f952,plain,
! [X0: u,X1: u] :
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f950,f185]) ).
thf(f950,plain,
! [X0: u,X1: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f944]) ).
thf(f944,plain,
! [X0: u,X1: u] :
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X1 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ X0 ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f196,f879]) ).
thf(f196,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) ) )
| ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
!= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f195,f156]) ).
thf(f195,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
!= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
!= $true ) ),
inference(backward_demodulation,[status(thm)],[f145,f156]) ).
thf(f145,plain,
! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X6 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X5 ) ) ) @ ( s @ X4 @ X5 ) ) ) )
!= $true )
| ( ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X6 ) ) )
!= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ X4 @ X5 ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ X4 @ X6 ) ) ) @ ( s @ X4 @ X6 ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X4 ) @ X3 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
thf(f215,plain,
( spl13_1
| spl13_4 ),
inference(avatar_split_clause,[status(thm)],[f136,f211,f187]) ).
thf(f136,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
thf(f214,plain,
( ~ spl13_3
| ~ spl13_2
| ~ spl13_1
| ~ spl13_4 ),
inference(avatar_split_clause,[status(thm)],[f137,f211,f187,f191,f200]) ).
thf(f137,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
!= $true )
| ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
!= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
thf(f203,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[status(thm)],[f134,f200,f187]) ).
thf(f134,plain,
( ( ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) )
= ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK2 ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sK4 @ sK3 ) @ sK1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ sK2 ) @ sK9 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
thf(f194,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[status(thm)],[f135,f191,f187]) ).
thf(f135,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ ( tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool ) ) @ sK6 ) @ ( s @ ( tyop_2Emin_2Efun @ sK5 @ ( tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool ) ) @ sK7 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK10 ) @ ( s @ ( tyop_2Emin_2Efun @ sK3 @ sK5 ) @ sK11 ) ) ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP009^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 08:18:54 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.27/0.49 ---- Original DTF file ---
% 0.27/0.49 thf(spec,logic,$$dhol).
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 % File : ITP009^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.27/0.49 % Domain : Interactive Theorem Proving
% 0.27/0.49 % Problem : HOL4 syntactic export of thm_2Equotient_2EFUN__REL__EQ__REL.p, bushy mode
% 0.27/0.49 % Version : [BG+19] axioms.
% 0.27/0.49 % English :
% 0.27/0.49
% 0.27/0.49 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.27/0.49 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.27/0.49 % Source : [BG+19]
% 0.27/0.49 % Names : thm_2Equotient_2EFUN__REL__EQ__REL.p [Gau19]
% 0.27/0.49 % : HL404001^1.p [TPAP]
% 0.27/0.49
% 0.27/0.49 % Status : Theorem
% 0.27/0.49 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.92 v8.1.0, 0.91 v7.5.0
% 0.27/0.49 % Syntax : Number of formulae : 97 ( 33 unt; 52 typ; 0 def)
% 0.27/0.49 % Number of atoms : 97 ( 39 equ; 3 cnn)
% 0.27/0.49 % Maximal formula atoms : 6 ( 2 avg)
% 0.27/0.49 % Number of connectives : 1717 ( 3 ~; 1 |; 18 &;1661 @)
% 0.27/0.49 % ( 20 <=>; 14 =>; 0 <=; 0 <~>)
% 0.27/0.49 % Maximal formula depth : 30 ( 7 avg)
% 0.27/0.49 % Number of types : 4 ( 3 usr)
% 0.27/0.49 % Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% 0.27/0.49 % Number of symbols : 51 ( 49 usr; 21 con; 0-4 aty)
% 0.27/0.49 % Number of variables : 155 ( 0 ^; 154 !; 1 ?; 155 :)
% 0.27/0.49 % SPC : TH0_THM_EQU_NAR
% 0.27/0.49
% 0.27/0.49 % Comments :
% 0.27/0.49 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 thf(u,type,
% 0.27/0.49 u: $tType ).
% 0.27/0.49
% 0.27/0.49 thf(d,type,
% 0.27/0.49 d: $tType ).
% 0.27/0.49
% 0.27/0.49 thf(du,type,
% 0.27/0.49 du: $tType ).
% 0.27/0.49
% 0.27/0.49 thf(tyop_2Emin_2Ebool,type,
% 0.27/0.49 tyop_2Emin_2Ebool: d ).
% 0.27/0.49
% 0.27/0.49 thf(tyop_2Emin_2Efun,type,
% 0.27/0.49 tyop_2Emin_2Efun: d > d > d ).
% 0.27/0.49
% 0.27/0.49 thf(s,type,
% 0.27/0.49 s: d > u > du ).
% 0.27/0.49
% 0.27/0.49 thf(app_2E2,type,
% 0.27/0.49 app_2E2: du > du > u ).
% 0.27/0.49
% 0.27/0.49 thf(combin_i_2E0,type,
% 0.27/0.49 combin_i_2E0: u ).
% 0.27/0.49
% 0.27/0.49 thf(combin_k_2E0,type,
% 0.27/0.49 combin_k_2E0: u ).
% 0.27/0.49
% 0.27/0.49 thf(combin_s_2E0,type,
% 0.27/0.49 combin_s_2E0: u ).
% 0.27/0.49
% 0.27/0.49 thf(c_2Ebool_2E_21_2E0,type,
% 0.27/0.49 c_2Ebool_2E_21_2E0: u ).
% 0.27/0.49
% 0.27/0.49 thf(c_2Ebool_2E_21_2E1,type,
% 0.27/0.50 c_2Ebool_2E_21_2E1: du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_2D_2D_3E_2E0,type,
% 0.27/0.50 c_2Equotient_2E_2D_2D_3E_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_2D_2D_3E_2E2,type,
% 0.27/0.50 c_2Equotient_2E_2D_2D_3E_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_2D_2D_3E_2E3,type,
% 0.27/0.50 c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.27/0.50 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.27/0.50 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Emin_2E_3D_2E0,type,
% 0.27/0.50 c_2Emin_2E_3D_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Emin_2E_3D_2E2,type,
% 0.27/0.50 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_3D_3D_3D_3E_2E0,type,
% 0.27/0.50 c_2Equotient_2E_3D_3D_3D_3E_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_3D_3D_3D_3E_2E2,type,
% 0.27/0.50 c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2E_3D_3D_3D_3E_2E4,type,
% 0.27/0.50 c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.27/0.50 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.27/0.50 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_3F_2E0,type,
% 0.27/0.50 c_2Ebool_2E_3F_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_3F_2E1,type,
% 0.27/0.50 c_2Ebool_2E_3F_2E1: du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2EF_2E0,type,
% 0.27/0.50 c_2Ebool_2EF_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2EQUOTIENT_2E0,type,
% 0.27/0.50 c_2Equotient_2EQUOTIENT_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2EQUOTIENT_2E3,type,
% 0.27/0.50 c_2Equotient_2EQUOTIENT_2E3: du > du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2ET_2E0,type,
% 0.27/0.50 c_2Ebool_2ET_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ecombin_2EW_2E0,type,
% 0.27/0.50 c_2Ecombin_2EW_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ecombin_2EW_2E2,type,
% 0.27/0.50 c_2Ecombin_2EW_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.27/0.50 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.27/0.50 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2Erespects_2E0,type,
% 0.27/0.50 c_2Equotient_2Erespects_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Equotient_2Erespects_2E2,type,
% 0.27/0.50 c_2Equotient_2Erespects_2E2: du > du > u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_7E_2E0,type,
% 0.27/0.50 c_2Ebool_2E_7E_2E0: u ).
% 0.27/0.50
% 0.27/0.50 thf(c_2Ebool_2E_7E_2E1,type,
% 0.27/0.50 c_2Ebool_2E_7E_2E1: du > u ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.50 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.50 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.27/0.50 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.27/0.50 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Ebool_2EF,type,
% 0.27/0.50 mono_2Ec_2Ebool_2EF: $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Ebool_2ET,type,
% 0.27/0.50 mono_2Ec_2Ebool_2ET: $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.27/0.50 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.27/0.50 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.50 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.27/0.50
% 0.27/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.27/0.50
% 0.27/0.50 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.50 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.27/0.50
% 0.27/0.50 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.50 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.27/0.50
% 0.27/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.50 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.27/0.50 ( ! [V2x_2E0: u] :
% 0.27/0.50 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.27/0.50 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.27/0.50 ! [A_27a: d,V0x_2E0: u] :
% 0.27/0.50 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.27/0.50 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Eho_2Es__thm,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.27/0.50 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.27/0.50 ! [V0: $o,V1: $o] :
% 0.27/0.50 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.27/0.50 <=> ( V0
% 0.27/0.50 & V1 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.27/0.50 ! [V0: $o,V1: $o] :
% 0.27/0.50 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.27/0.50 <=> ( V0
% 0.27/0.50 | V1 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Elogic_2E_7E,axiom,
% 0.27/0.50 ! [V0: $o] :
% 0.27/0.50 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.27/0.50 <=> ( (~) @ V0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.27/0.50 ! [V0: $o,V1: $o] :
% 0.27/0.50 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.27/0.50 <=> ( V0
% 0.27/0.50 => V1 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Elogic_2E_3D,axiom,
% 0.27/0.50 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.27/0.50 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.27/0.50 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Equant_2E_21,axiom,
% 0.27/0.50 ! [A_27a: d,V0f_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.27/0.50 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(reserved_2Equant_2E_3F,axiom,
% 0.27/0.50 ! [A_27a: d,V0f_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.27/0.50 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.50 ! [V0_2E0: u] :
% 0.27/0.50 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.27/0.50 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.50 ! [V0_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.50 ! [V0_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.50 ! [V0: $o] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.27/0.50 = V0 ) ).
% 0.27/0.50
% 0.27/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.50 ! [V0: $o > $o] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.27/0.50 = V0 ) ).
% 0.27/0.50
% 0.27/0.50 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.50 ! [V0: $o > $o > $o] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.27/0.50 = V0 ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.27/0.50 ! [A_27a: d,X0_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.27/0.50 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( ( s @ A_27a @ X0_2E0 )
% 0.27/0.50 = ( s @ A_27a @ X1_2E0 ) )
% 0.27/0.50 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u,X3_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.27/0.50 ! [A_27a: d,X0_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X2_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27a_20mono_2EA_27c,axiom,
% 0.27/0.50 ! [A_27a: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X2_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27b_20mono_2EA_27d,axiom,
% 0.27/0.50 ! [A_27b: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X2_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Efun_28A_27c_2CA_27d_29,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X2_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( s @ A_27b @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) )
% 0.27/0.50 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.50 ! [V0: $o > $o,V1: $o] :
% 0.27/0.50 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.27/0.50 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.50 ! [V0: $o > $o > $o,V1: $o] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.50 ! [V0: $o > $o,V1: $o] :
% 0.27/0.50 ( ( V0 @ V1 )
% 0.27/0.50 = ( V0 @ V1 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.50 ! [V0: $o > $o > $o,V1: $o] :
% 0.27/0.50 ( ( V0 @ V1 )
% 0.27/0.50 = ( V0 @ V1 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.27/0.50 mono_2Ec_2Ebool_2ET ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.27/0.50 ! [V0t1: $o,V1t2: $o] :
% 0.27/0.50 ( ( V0t1
% 0.27/0.50 => V1t2 )
% 0.27/0.50 => ( ( V1t2
% 0.27/0.50 => V0t1 )
% 0.27/0.50 => ( V0t1 = V1t2 ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.27/0.50 ! [V0t: $o] :
% 0.27/0.50 ( ( ( mono_2Ec_2Ebool_2ET
% 0.27/0.50 & V0t )
% 0.27/0.50 <=> V0t )
% 0.27/0.50 & ( ( V0t
% 0.27/0.50 & mono_2Ec_2Ebool_2ET )
% 0.27/0.50 <=> V0t )
% 0.27/0.50 & ( ( mono_2Ec_2Ebool_2EF
% 0.27/0.50 & V0t )
% 0.27/0.50 <=> mono_2Ec_2Ebool_2EF )
% 0.27/0.50 & ( ( V0t
% 0.27/0.50 & mono_2Ec_2Ebool_2EF )
% 0.27/0.50 <=> mono_2Ec_2Ebool_2EF )
% 0.27/0.50 & ( ( V0t
% 0.27/0.50 & V0t )
% 0.27/0.50 <=> V0t ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.27/0.50 ! [V0t: $o] :
% 0.27/0.50 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.27/0.50 <=> V0t )
% 0.27/0.50 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.27/0.50 <=> V0t )
% 0.27/0.50 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.27/0.50 <=> ( (~) @ V0t ) )
% 0.27/0.50 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.27/0.50 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.27/0.50 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 0.27/0.50 ( ( V0t1
% 0.27/0.50 => ( V1t2
% 0.27/0.50 => V2t3 ) )
% 0.27/0.50 <=> ( ( V0t1
% 0.27/0.50 & V1t2 )
% 0.27/0.50 => V2t3 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Ecombin_2EW__THM,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1x_2E0: u] :
% 0.27/0.50 ( ( s @ A_27b @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Equotient_2EQUOTIENT__REL,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,V0R_2E0: u,V1abs_2E0: u,V2rep_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V2rep_2E0 ) ) ) )
% 0.27/0.50 => ! [V3r_2E0: u,V4s_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) ) @ ( s @ A_27a @ V4s_2E0 ) ) ) )
% 0.27/0.50 <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) ) @ ( s @ A_27a @ V3r_2E0 ) ) ) )
% 0.27/0.50 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V4s_2E0 ) ) ) @ ( s @ A_27a @ V4s_2E0 ) ) ) )
% 0.27/0.50 & ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) )
% 0.27/0.50 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ A_27a @ V4s_2E0 ) ) ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Equotient_2EFUN__QUOTIENT,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0R1_2E0: u,V1abs1_2E0: u,V2rep1_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) )
% 0.27/0.50 => ! [V3R2_2E0: u,V4abs2_2E0: u,V5rep2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) )
% 0.27/0.50 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Equotient_2Erespects__def,axiom,
% 0.27/0.50 ! [A_27a: d,A_27b: d] :
% 0.27/0.50 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Equotient_2Erespects_2E0 )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Ecombin_2EW_2E0 ) ) ).
% 0.27/0.50
% 0.27/0.50 thf(thm_2Equotient_2EFUN__REL__EQ__REL,conjecture,
% 0.27/0.50 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0R1_2E0: u,V1abs1_2E0: u,V2rep1_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) )
% 0.27/0.50 => ! [V3R2_2E0: u,V4abs2_2E0: u,V5rep2_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) )
% 0.27/0.50 => ! [V6f_2E0: u,V7g_2E0: u] :
% 0.27/0.50 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) )
% 0.27/0.50 <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) )
% 0.27/0.50 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) )
% 0.27/0.50 & ( ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) )
% 0.27/0.50 = ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) ) ) ) ) ).
% 0.27/0.50
% 0.27/0.50 %------------------------------------------------------------------------------
% 0.27/0.50 ------------------------
% 2.29/1.56 ---- Embedded in THF ---
% 2.29/1.56 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.29/1.56 %%% Generated on Tue Feb 24 08:18:55 EST 2026
% 2.29/1.56 %%% using '$$dhol' embedding, version 1.3.0.
% 2.29/1.56 %%% Logic specification used:
% 2.29/1.56 %%% thf(spec, logic, $$dhol).
% 2.29/1.56
% 2.29/1.56 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2DTF5137.p
% See solution above
% 2.29/1.56 ------------------------
% 2.29/1.59 ---- Cleaned THF ---
% 2.29/1.59 thf(u,type,
% 2.29/1.59 u: $tType ).
% 2.29/1.59
% 2.29/1.59 thf(d,type,
% 2.29/1.59 d: $tType ).
% 2.29/1.59
% 2.29/1.59 thf(du,type,
% 2.29/1.59 du: $tType ).
% 2.29/1.59
% 2.29/1.59 thf(tyop_2Emin_2Ebool,type,
% 2.29/1.59 tyop_2Emin_2Ebool: d ).
% 2.29/1.59
% 2.29/1.59 thf(tyop_2Emin_2Efun,type,
% 2.29/1.59 tyop_2Emin_2Efun: d > d > d ).
% 2.29/1.59
% 2.29/1.59 thf(s,type,
% 2.29/1.59 s: d > u > du ).
% 2.29/1.59
% 2.29/1.59 thf(app_2E2,type,
% 2.29/1.59 app_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(combin_i_2E0,type,
% 2.29/1.59 combin_i_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(combin_k_2E0,type,
% 2.29/1.59 combin_k_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(combin_s_2E0,type,
% 2.29/1.59 combin_s_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_21_2E0,type,
% 2.29/1.59 c_2Ebool_2E_21_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_21_2E1,type,
% 2.29/1.59 c_2Ebool_2E_21_2E1: du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_2D_2D_3E_2E0,type,
% 2.29/1.59 c_2Equotient_2E_2D_2D_3E_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_2D_2D_3E_2E2,type,
% 2.29/1.59 c_2Equotient_2E_2D_2D_3E_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_2D_2D_3E_2E3,type,
% 2.29/1.59 c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.29/1.59 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.29/1.59 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Emin_2E_3D_2E0,type,
% 2.29/1.59 c_2Emin_2E_3D_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Emin_2E_3D_2E2,type,
% 2.29/1.59 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_3D_3D_3D_3E_2E0,type,
% 2.29/1.59 c_2Equotient_2E_3D_3D_3D_3E_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_3D_3D_3D_3E_2E2,type,
% 2.29/1.59 c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2E_3D_3D_3D_3E_2E4,type,
% 2.29/1.59 c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.29/1.59 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.29/1.59 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_3F_2E0,type,
% 2.29/1.59 c_2Ebool_2E_3F_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_3F_2E1,type,
% 2.29/1.59 c_2Ebool_2E_3F_2E1: du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2EF_2E0,type,
% 2.29/1.59 c_2Ebool_2EF_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2EQUOTIENT_2E0,type,
% 2.29/1.59 c_2Equotient_2EQUOTIENT_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2EQUOTIENT_2E3,type,
% 2.29/1.59 c_2Equotient_2EQUOTIENT_2E3: du > du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2ET_2E0,type,
% 2.29/1.59 c_2Ebool_2ET_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ecombin_2EW_2E0,type,
% 2.29/1.59 c_2Ecombin_2EW_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ecombin_2EW_2E2,type,
% 2.29/1.59 c_2Ecombin_2EW_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.29/1.59 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.29/1.59 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2Erespects_2E0,type,
% 2.29/1.59 c_2Equotient_2Erespects_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Equotient_2Erespects_2E2,type,
% 2.29/1.59 c_2Equotient_2Erespects_2E2: du > du > u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_7E_2E0,type,
% 2.29/1.59 c_2Ebool_2E_7E_2E0: u ).
% 2.29/1.59
% 2.29/1.59 thf(c_2Ebool_2E_7E_2E1,type,
% 2.29/1.59 c_2Ebool_2E_7E_2E1: du > u ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.29/1.59 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.29/1.59 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.29/1.59 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.29/1.59 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Ebool_2EF,type,
% 2.29/1.59 mono_2Ec_2Ebool_2EF: $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Ebool_2ET,type,
% 2.29/1.59 mono_2Ec_2Ebool_2ET: $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.29/1.59 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.29/1.59 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.29/1.59 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.29/1.59
% 2.29/1.59 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.29/1.59 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.29/1.59
% 2.29/1.59 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.29/1.59 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.29/1.59
% 2.29/1.59 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.29/1.59 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.29/1.59
% 2.29/1.59 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.29/1.59 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.29/1.59 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.29/1.59 ( ! [V2x_2E0: u] :
% 2.29/1.59 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.29/1.59 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.29/1.59 ! [A_27a: d,V0x_2E0: u] :
% 2.29/1.59 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.29/1.59 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Eho_2Es__thm,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.29/1.59 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.29/1.59 ! [V0: $o,V1: $o] :
% 2.29/1.59 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.29/1.59 <=> ( V0
% 2.29/1.59 & V1 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.29/1.59 ! [V0: $o,V1: $o] :
% 2.29/1.59 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.29/1.59 <=> ( V0
% 2.29/1.59 | V1 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Elogic_2E_7E,axiom,
% 2.29/1.59 ! [V0: $o] :
% 2.29/1.59 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.29/1.59 <=> ( (~) @ V0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.29/1.59 ! [V0: $o,V1: $o] :
% 2.29/1.59 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.29/1.59 <=> ( V0
% 2.29/1.59 => V1 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Elogic_2E_3D,axiom,
% 2.29/1.59 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.29/1.59 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.29/1.59 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Equant_2E_21,axiom,
% 2.29/1.59 ! [A_27a: d,V0f_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.29/1.59 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(reserved_2Equant_2E_3F,axiom,
% 2.29/1.59 ! [A_27a: d,V0f_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.29/1.59 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.29/1.59 ! [V0_2E0: u] :
% 2.29/1.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.29/1.59 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.29/1.59 ! [V0_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.29/1.59 ! [V0_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.29/1.59 ! [V0: $o] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.29/1.59 = V0 ) ).
% 2.29/1.59
% 2.29/1.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.29/1.59 ! [V0: $o > $o] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.29/1.59 = V0 ) ).
% 2.29/1.59
% 2.29/1.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.29/1.59 ! [V0: $o > $o > $o] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.29/1.59 = V0 ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.29/1.59 ! [A_27a: d,X0_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X1_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) ) ) @ c_2Equotient_2E_2D_2D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.29/1.59 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( ( s @ A_27a @ X0_2E0 )
% 2.29/1.59 = ( s @ A_27a @ X1_2E0 ) )
% 2.29/1.59 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u,X3_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) ) @ c_2Equotient_2E_3D_3D_3D_3E_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X3_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.29/1.59 ! [A_27a: d,X0_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X2_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27a_20mono_2EA_27c,axiom,
% 2.29/1.59 ! [A_27a: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X2_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ X2_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27b_20mono_2EA_27d,axiom,
% 2.29/1.59 ! [A_27b: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X2_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ X2_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Efun_28A_27c_2CA_27d_29,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X2_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Equotient_2EQUOTIENT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X2_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( s @ A_27b @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Ecombin_2EW_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) )
% 2.29/1.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ c_2Equotient_2Erespects_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.29/1.59 ! [V0: $o > $o,V1: $o] :
% 2.29/1.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.29/1.59 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.29/1.59 ! [V0: $o > $o > $o,V1: $o] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.29/1.59 ! [V0: $o > $o,V1: $o] :
% 2.29/1.59 ( ( V0 @ V1 )
% 2.29/1.59 = ( V0 @ V1 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.29/1.59 ! [V0: $o > $o > $o,V1: $o] :
% 2.29/1.59 ( ( V0 @ V1 )
% 2.29/1.59 = ( V0 @ V1 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ebool_2ETRUTH,axiom,
% 2.29/1.59 mono_2Ec_2Ebool_2ET ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 2.29/1.59 ! [V0t1: $o,V1t2: $o] :
% 2.29/1.59 ( ( V0t1
% 2.29/1.59 => V1t2 )
% 2.29/1.59 => ( ( V1t2
% 2.29/1.59 => V0t1 )
% 2.29/1.59 => ( V0t1 = V1t2 ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 2.29/1.59 ! [V0t: $o] :
% 2.29/1.59 ( ( ( mono_2Ec_2Ebool_2ET
% 2.29/1.59 & V0t )
% 2.29/1.59 <=> V0t )
% 2.29/1.59 & ( ( V0t
% 2.29/1.59 & mono_2Ec_2Ebool_2ET )
% 2.29/1.59 <=> V0t )
% 2.29/1.59 & ( ( mono_2Ec_2Ebool_2EF
% 2.29/1.59 & V0t )
% 2.29/1.59 <=> mono_2Ec_2Ebool_2EF )
% 2.29/1.59 & ( ( V0t
% 2.29/1.59 & mono_2Ec_2Ebool_2EF )
% 2.29/1.59 <=> mono_2Ec_2Ebool_2EF )
% 2.29/1.59 & ( ( V0t
% 2.29/1.59 & V0t )
% 2.29/1.59 <=> V0t ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 2.29/1.59 ! [V0t: $o] :
% 2.29/1.59 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 2.29/1.59 <=> V0t )
% 2.29/1.59 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.29/1.59 <=> V0t )
% 2.29/1.59 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 2.29/1.59 <=> ( (~) @ V0t ) )
% 2.29/1.59 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 2.29/1.59 <=> ( (~) @ V0t ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 2.29/1.59 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 2.29/1.59 ( ( V0t1
% 2.29/1.59 => ( V1t2
% 2.29/1.59 => V2t3 ) )
% 2.29/1.59 <=> ( ( V0t1
% 2.29/1.59 & V1t2 )
% 2.29/1.59 => V2t3 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Ecombin_2EW__THM,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1x_2E0: u] :
% 2.29/1.59 ( ( s @ A_27b @ ( c_2Ecombin_2EW_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Equotient_2EQUOTIENT__REL,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,V0R_2E0: u,V1abs_2E0: u,V2rep_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V2rep_2E0 ) ) ) )
% 2.29/1.59 => ! [V3r_2E0: u,V4s_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) ) @ ( s @ A_27a @ V4s_2E0 ) ) ) )
% 2.29/1.59 <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) ) @ ( s @ A_27a @ V3r_2E0 ) ) ) )
% 2.29/1.59 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V4s_2E0 ) ) ) @ ( s @ A_27a @ V4s_2E0 ) ) ) )
% 2.29/1.59 & ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ A_27a @ V3r_2E0 ) ) )
% 2.29/1.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1abs_2E0 ) @ ( s @ A_27a @ V4s_2E0 ) ) ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Equotient_2EFUN__QUOTIENT,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0R1_2E0: u,V1abs1_2E0: u,V2rep1_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) )
% 2.29/1.59 => ! [V3R2_2E0: u,V4abs2_2E0: u,V5rep2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) )
% 2.29/1.59 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( c_2Equotient_2E_2D_2D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) ) ) ) ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Equotient_2Erespects__def,axiom,
% 2.29/1.59 ! [A_27a: d,A_27b: d] :
% 2.29/1.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Equotient_2Erespects_2E0 )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ c_2Ecombin_2EW_2E0 ) ) ).
% 2.29/1.59
% 2.29/1.59 thf(thm_2Equotient_2EFUN__REL__EQ__REL,conjecture,
% 2.29/1.59 ! [A_27a: d,A_27b: d,A_27c: d,A_27d: d,V0R1_2E0: u,V1abs1_2E0: u,V2rep1_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1abs1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) ) ) )
% 2.29/1.59 => ! [V3R2_2E0: u,V4abs2_2E0: u,V5rep2_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2EQUOTIENT_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27d @ A_27b ) @ V5rep2_2E0 ) ) ) )
% 2.29/1.59 => ! [V6f_2E0: u,V7g_2E0: u] :
% 2.29/1.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2E_3D_3D_3D_3E_2E4 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) )
% 2.29/1.59 <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) ) )
% 2.29/1.59 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Equotient_2Erespects_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ tyop_2Emin_2Ebool ) ) @ ( c_2Equotient_2E_3D_3D_3D_3E_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0R1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V3R2_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) )
% 2.29/1.59 & ( ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6f_2E0 ) ) )
% 2.29/1.59 = ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27d ) @ ( c_2Equotient_2E_2D_2D_3E_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ V2rep1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27d ) @ V4abs2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V7g_2E0 ) ) ) ) ) ) ) ) ).
% 2.29/1.59 ------------------------
% 2.42/1.61 % (5536)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/183Mi)
% 2.42/1.61 % (5539)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/2Mi)
% 2.42/1.61 % (5539)Instruction limit reached!
% 2.42/1.61 % (5539)------------------------------
% 2.42/1.61 % (5539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.61 % (5539)Termination reason: Unknown
% 2.42/1.61 % (5539)Termination phase: shuffling
% 2.42/1.61
% 2.42/1.61 % (5539)Memory used [KB]: 1023
% 2.42/1.61 % (5539)Time elapsed: 0.002 s
% 2.42/1.61 % (5539)Instructions burned: 3 (million)
% 2.42/1.61 % (5539)------------------------------
% 2.42/1.61 % (5539)------------------------------
% 2.42/1.62 % (5538)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 DTF2THF_5137 for (2999ds/27Mi)
% 2.42/1.62 % (5537)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 DTF2THF_5137 for (2999ds/4Mi)
% 2.42/1.62 % (5540)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/2Mi)
% 2.42/1.62 % (5541)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/275Mi)
% 2.42/1.62 % (5542)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/18Mi)
% 2.42/1.62 % (5537)Instruction limit reached!
% 2.42/1.62 % (5537)------------------------------
% 2.42/1.62 % (5537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.62 % (5537)Termination reason: Unknown
% 2.42/1.62 % (5537)Termination phase: shuffling
% 2.42/1.62
% 2.42/1.62 % (5537)Memory used [KB]: 1151
% 2.42/1.62 % (5537)Time elapsed: 0.004 s
% 2.42/1.62 % (5537)Instructions burned: 5 (million)
% 2.42/1.62 % (5537)------------------------------
% 2.42/1.62 % (5537)------------------------------
% 2.42/1.62 % (5540)Instruction limit reached!
% 2.42/1.62 % (5540)------------------------------
% 2.42/1.62 % (5540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.62 % (5540)Termination reason: Unknown
% 2.42/1.62 % (5540)Termination phase: shuffling
% 2.42/1.62
% 2.42/1.62 % (5540)Memory used [KB]: 1151
% 2.42/1.62 % (5540)Time elapsed: 0.004 s
% 2.42/1.62 % (5540)Instructions burned: 3 (million)
% 2.42/1.62 % (5540)------------------------------
% 2.42/1.62 % (5540)------------------------------
% 2.42/1.62 % (5549)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/3Mi)
% 2.42/1.63 % (5549)Instruction limit reached!
% 2.42/1.63 % (5549)------------------------------
% 2.42/1.63 % (5549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.63 % (5549)Termination reason: Unknown
% 2.42/1.63 % (5549)Termination phase: shuffling
% 2.42/1.63
% 2.42/1.63 % (5549)Memory used [KB]: 1151
% 2.42/1.63 % (5549)Time elapsed: 0.003 s
% 2.42/1.63 % (5549)Instructions burned: 4 (million)
% 2.42/1.63 % (5549)------------------------------
% 2.42/1.63 % (5549)------------------------------
% 2.42/1.63 % (5538)Instruction limit reached!
% 2.42/1.63 % (5538)------------------------------
% 2.42/1.63 % (5538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.63 % (5538)Termination reason: Unknown
% 2.42/1.63 % (5538)Termination phase: Property scanning
% 2.42/1.63
% 2.42/1.63 % (5538)Memory used [KB]: 1407
% 2.42/1.63 % (5538)Time elapsed: 0.013 s
% 2.42/1.63 % (5538)Instructions burned: 28 (million)
% 2.42/1.63 % (5538)------------------------------
% 2.42/1.63 % (5538)------------------------------
% 2.42/1.63 % (5542)Instruction limit reached!
% 2.42/1.63 % (5542)------------------------------
% 2.42/1.63 % (5542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.63 % (5542)Termination reason: Unknown
% 2.42/1.63 % (5542)Termination phase: Preprocessing 3
% 2.42/1.63
% 2.42/1.63 % (5542)Memory used [KB]: 1151
% 2.42/1.63 % (5542)Time elapsed: 0.011 s
% 2.42/1.63 % (5542)Instructions burned: 18 (million)
% 2.42/1.63 % (5542)------------------------------
% 2.42/1.63 % (5542)------------------------------
% 2.42/1.64 % (5558)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/3Mi)
% 2.42/1.64 % (5558)Instruction limit reached!
% 2.42/1.64 % (5558)------------------------------
% 2.42/1.64 % (5558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.64 % (5558)Termination reason: Unknown
% 2.42/1.64 % (5558)Termination phase: shuffling
% 2.42/1.64
% 2.42/1.64 % (5558)Memory used [KB]: 1151
% 2.42/1.64 % (5558)Time elapsed: 0.003 s
% 2.42/1.64 % (5558)Instructions burned: 4 (million)
% 2.42/1.64 % (5558)------------------------------
% 2.42/1.64 % (5558)------------------------------
% 2.42/1.64 % (5554)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 DTF2THF_5137 for (2999ds/37Mi)
% 2.42/1.64 % (5555)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 DTF2THF_5137 for (2999ds/15Mi)
% 2.42/1.64 % (5561)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 DTF2THF_5137 for (2999ds/1041Mi)
% 2.42/1.65 % (5566)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/16Mi)
% 2.42/1.65 % (5555)Instruction limit reached!
% 2.42/1.65 % (5555)------------------------------
% 2.42/1.65 % (5555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.65 % (5555)Termination reason: Unknown
% 2.42/1.65 % (5555)Termination phase: Preprocessing 1
% 2.42/1.65
% 2.42/1.65 % (5555)Memory used [KB]: 1151
% 2.42/1.65 % (5555)Time elapsed: 0.010 s
% 2.42/1.65 % (5555)Instructions burned: 16 (million)
% 2.42/1.65 % (5555)------------------------------
% 2.42/1.65 % (5555)------------------------------
% 2.42/1.65 % (5562)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/7Mi)
% 2.42/1.65 % (5562)Instruction limit reached!
% 2.42/1.65 % (5562)------------------------------
% 2.42/1.65 % (5562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.65 % (5562)Termination reason: Unknown
% 2.42/1.65 % (5562)Termination phase: shuffling
% 2.42/1.65
% 2.42/1.65 % (5562)Memory used [KB]: 1151
% 2.42/1.65 % (5562)Time elapsed: 0.006 s
% 2.42/1.65 % (5562)Instructions burned: 7 (million)
% 2.42/1.65 % (5562)------------------------------
% 2.42/1.65 % (5562)------------------------------
% 2.42/1.65 % (5566)Instruction limit reached!
% 2.42/1.65 % (5566)------------------------------
% 2.42/1.65 % (5566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.65 % (5566)Termination reason: Unknown
% 2.42/1.65 % (5566)Termination phase: Preprocessing 2
% 2.42/1.65
% 2.42/1.65 % (5566)Memory used [KB]: 1151
% 2.42/1.65 % (5566)Time elapsed: 0.007 s
% 2.42/1.65 % (5566)Instructions burned: 18 (million)
% 2.42/1.65 % (5566)------------------------------
% 2.42/1.65 % (5566)------------------------------
% 2.42/1.65 % (5541)Refutation not found, incomplete strategy
% 2.42/1.65 % (5541)------------------------------
% 2.42/1.65 % (5541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.65 % (5541)Termination reason: Refutation not found, incomplete strategy
% 2.42/1.65
% 2.42/1.65
% 2.42/1.65 % (5541)Memory used [KB]: 6012
% 2.42/1.65 % (5541)Time elapsed: 0.033 s
% 2.42/1.65 % (5541)Instructions burned: 59 (million)
% 2.42/1.65 % (5541)------------------------------
% 2.42/1.65 % (5541)------------------------------
% 2.42/1.66 % (5554)Instruction limit reached!
% 2.42/1.66 % (5554)------------------------------
% 2.42/1.66 % (5554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.66 % (5554)Termination reason: Unknown
% 2.42/1.66 % (5554)Termination phase: Property scanning
% 2.42/1.66
% 2.42/1.66 % (5554)Memory used [KB]: 1407
% 2.42/1.66 % (5554)Time elapsed: 0.020 s
% 2.42/1.66 % (5554)Instructions burned: 38 (million)
% 2.42/1.66 % (5554)------------------------------
% 2.42/1.66 % (5554)------------------------------
% 2.42/1.66 % (5579)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/7Mi)
% 2.42/1.66 % (5579)Instruction limit reached!
% 2.42/1.66 % (5579)------------------------------
% 2.42/1.66 % (5579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.66 % (5579)Termination reason: Unknown
% 2.42/1.66 % (5579)Termination phase: shuffling
% 2.42/1.66
% 2.42/1.66 % (5579)Memory used [KB]: 1151
% 2.42/1.66 % (5579)Time elapsed: 0.004 s
% 2.42/1.66 % (5579)Instructions burned: 7 (million)
% 2.42/1.66 % (5579)------------------------------
% 2.42/1.66 % (5579)------------------------------
% 2.42/1.67 % (5572)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 DTF2THF_5137 for (2999ds/3Mi)
% 2.42/1.67 % (5572)Instruction limit reached!
% 2.42/1.67 % (5572)------------------------------
% 2.42/1.67 % (5572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.67 % (5572)Termination reason: Unknown
% 2.42/1.67 % (5572)Termination phase: shuffling
% 2.42/1.67
% 2.42/1.67 % (5572)Memory used [KB]: 1151
% 2.42/1.67 % (5572)Time elapsed: 0.004 s
% 2.42/1.67 % (5572)Instructions burned: 4 (million)
% 2.42/1.67 % (5572)------------------------------
% 2.42/1.67 % (5572)------------------------------
% 2.42/1.67 % (5536)Instruction limit reached!
% 2.42/1.67 % (5536)------------------------------
% 2.42/1.67 % (5536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.67 % (5536)Termination reason: Unknown
% 2.42/1.67 % (5536)Termination phase: Saturation
% 2.42/1.67
% 2.42/1.67 % (5536)Memory used [KB]: 6524
% 2.42/1.67 % (5536)Time elapsed: 0.057 s
% 2.42/1.67 % (5536)Instructions burned: 185 (million)
% 2.42/1.67 % (5536)------------------------------
% 2.42/1.67 % (5536)------------------------------
% 2.42/1.67 % (5578)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 DTF2THF_5137 for (2999ds/3Mi)
% 2.42/1.67 % (5580)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/3Mi)
% 2.42/1.67 % (5578)Instruction limit reached!
% 2.42/1.67 % (5578)------------------------------
% 2.42/1.67 % (5578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.67 % (5578)Termination reason: Unknown
% 2.42/1.67 % (5578)Termination phase: shuffling
% 2.42/1.67
% 2.42/1.67 % (5578)Memory used [KB]: 1151
% 2.42/1.67 % (5578)Time elapsed: 0.004 s
% 2.42/1.67 % (5578)Instructions burned: 4 (million)
% 2.42/1.67 % (5578)------------------------------
% 2.42/1.67 % (5578)------------------------------
% 2.42/1.67 % (5580)Instruction limit reached!
% 2.42/1.67 % (5580)------------------------------
% 2.42/1.67 % (5580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.67 % (5580)Termination reason: Unknown
% 2.42/1.67 % (5580)Termination phase: shuffling
% 2.42/1.67
% 2.42/1.67 % (5580)Memory used [KB]: 1151
% 2.42/1.67 % (5580)Time elapsed: 0.004 s
% 2.42/1.67 % (5580)Instructions burned: 3 (million)
% 2.42/1.67 % (5580)------------------------------
% 2.42/1.67 % (5580)------------------------------
% 2.42/1.67 % (5583)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/4Mi)
% 2.42/1.67 % (5583)Instruction limit reached!
% 2.42/1.67 % (5583)------------------------------
% 2.42/1.67 % (5583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.67 % (5583)Termination reason: Unknown
% 2.42/1.67 % (5583)Termination phase: shuffling
% 2.42/1.67
% 2.42/1.67 % (5583)Memory used [KB]: 1151
% 2.42/1.67 % (5583)Time elapsed: 0.003 s
% 2.42/1.67 % (5583)Instructions burned: 4 (million)
% 2.42/1.67 % (5583)------------------------------
% 2.42/1.67 % (5583)------------------------------
% 2.42/1.67 % (5588)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/18Mi)
% 2.42/1.68 % (5590)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/6Mi)
% 2.42/1.68 % (5590)Instruction limit reached!
% 2.42/1.68 % (5590)------------------------------
% 2.42/1.68 % (5590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.68 % (5590)Termination reason: Unknown
% 2.42/1.68 % (5590)Termination phase: shuffling
% 2.42/1.68
% 2.42/1.68 % (5590)Memory used [KB]: 1151
% 2.42/1.68 % (5590)Time elapsed: 0.003 s
% 2.42/1.68 % (5590)Instructions burned: 6 (million)
% 2.42/1.68 % (5590)------------------------------
% 2.42/1.68 % (5590)------------------------------
% 2.42/1.68 % (5588)Instruction limit reached!
% 2.42/1.68 % (5588)------------------------------
% 2.42/1.68 % (5588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.68 % (5588)Termination reason: Unknown
% 2.42/1.68 % (5588)Termination phase: Preprocessing 3
% 2.42/1.68
% 2.42/1.68 % (5588)Memory used [KB]: 1151
% 2.42/1.68 % (5588)Time elapsed: 0.007 s
% 2.42/1.68 % (5588)Instructions burned: 18 (million)
% 2.42/1.68 % (5588)------------------------------
% 2.42/1.68 % (5588)------------------------------
% 2.42/1.68 % (5594)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/5Mi)
% 2.42/1.68 % (5589)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/710Mi)
% 2.42/1.69 % (5594)Instruction limit reached!
% 2.42/1.69 % (5594)------------------------------
% 2.42/1.69 % (5594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.69 % (5594)Termination reason: Unknown
% 2.42/1.69 % (5594)Termination phase: shuffling
% 2.42/1.69
% 2.42/1.69 % (5594)Memory used [KB]: 1151
% 2.42/1.69 % (5594)Time elapsed: 0.003 s
% 2.42/1.69 % (5594)Instructions burned: 5 (million)
% 2.42/1.69 % (5594)------------------------------
% 2.42/1.69 % (5594)------------------------------
% 2.42/1.69 % (5592)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 DTF2THF_5137 for (2999ds/902Mi)
% 2.42/1.69 % (5595)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 DTF2THF_5137 for (2999ds/6Mi)
% 2.42/1.69 % (5596)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/377Mi)
% 2.42/1.69 % (5593)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 DTF2THF_5137 for (2999ds/21Mi)
% 2.42/1.69 % (5595)Instruction limit reached!
% 2.42/1.69 % (5595)------------------------------
% 2.42/1.69 % (5595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.69 % (5595)Termination reason: Unknown
% 2.42/1.69 % (5595)Termination phase: shuffling
% 2.42/1.69
% 2.42/1.69 % (5595)Memory used [KB]: 1151
% 2.42/1.69 % (5595)Time elapsed: 0.003 s
% 2.42/1.69 % (5595)Instructions burned: 8 (million)
% 2.42/1.69 % (5595)------------------------------
% 2.42/1.69 % (5595)------------------------------
% 2.42/1.70 % (5599)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 DTF2THF_5137 for (2999ds/779Mi)
% 2.42/1.70 % (5603)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 DTF2THF_5137 for (2999ds/19Mi)
% 2.42/1.70 % (5593)Instruction limit reached!
% 2.42/1.70 % (5593)------------------------------
% 2.42/1.70 % (5593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.70 % (5593)Termination reason: Unknown
% 2.42/1.70 % (5593)Termination phase: Property scanning
% 2.42/1.70
% 2.42/1.70 % (5593)Memory used [KB]: 1279
% 2.42/1.70 % (5593)Time elapsed: 0.014 s
% 2.42/1.70 % (5593)Instructions burned: 21 (million)
% 2.42/1.70 % (5593)------------------------------
% 2.42/1.70 % (5593)------------------------------
% 2.42/1.70 % (5603)Instruction limit reached!
% 2.42/1.70 % (5603)------------------------------
% 2.42/1.70 % (5603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.70 % (5603)Termination reason: Unknown
% 2.42/1.70 % (5603)Termination phase: Property scanning
% 2.42/1.70
% 2.42/1.70 % (5603)Memory used [KB]: 1407
% 2.42/1.70 % (5603)Time elapsed: 0.006 s
% 2.42/1.70 % (5603)Instructions burned: 20 (million)
% 2.42/1.70 % (5603)------------------------------
% 2.42/1.70 % (5603)------------------------------
% 2.42/1.71 % (5606)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5137 for (2998ds/17Mi)
% 2.42/1.72 % (5606)Instruction limit reached!
% 2.42/1.72 % (5606)------------------------------
% 2.42/1.72 % (5606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.72 % (5606)Termination reason: Unknown
% 2.42/1.72 % (5606)Termination phase: Preprocessing 3
% 2.42/1.72
% 2.42/1.72 % (5606)Memory used [KB]: 1151
% 2.42/1.72 % (5606)Time elapsed: 0.006 s
% 2.42/1.72 % (5606)Instructions burned: 18 (million)
% 2.42/1.72 % (5606)------------------------------
% 2.42/1.72 % (5606)------------------------------
% 2.42/1.72 % (5605)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5137 for (2999ds/879Mi)
% 2.42/1.73 % (5613)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5137 for (2998ds/3Mi)
% 2.42/1.73 % (5613)Instruction limit reached!
% 2.42/1.73 % (5613)------------------------------
% 2.42/1.73 % (5613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.73 % (5613)Termination reason: Unknown
% 2.42/1.73 % (5613)Termination phase: shuffling
% 2.42/1.73
% 2.42/1.73 % (5613)Memory used [KB]: 1023
% 2.42/1.73 % (5613)Time elapsed: 0.002 s
% 2.42/1.73 % (5613)Instructions burned: 3 (million)
% 2.42/1.73 % (5613)------------------------------
% 2.42/1.73 % (5613)------------------------------
% 2.42/1.74 % (5618)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5137 for (2998ds/30Mi)
% 2.42/1.75 % (5618)Instruction limit reached!
% 2.42/1.75 % (5618)------------------------------
% 2.42/1.75 % (5618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.75 % (5618)Termination reason: Unknown
% 2.42/1.75 % (5618)Termination phase: Preprocessing 3
% 2.42/1.75
% 2.42/1.75 % (5618)Memory used [KB]: 1279
% 2.42/1.75 % (5618)Time elapsed: 0.009 s
% 2.42/1.75 % (5618)Instructions burned: 30 (million)
% 2.42/1.75 % (5618)------------------------------
% 2.42/1.75 % (5618)------------------------------
% 2.42/1.76 % (5623)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5137 for (2998ds/127Mi)
% 2.42/1.79 % (5623)Instruction limit reached!
% 2.42/1.79 % (5623)------------------------------
% 2.42/1.79 % (5623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.79 % (5623)Termination reason: Unknown
% 2.42/1.79 % (5623)Termination phase: Saturation
% 2.42/1.79
% 2.42/1.79 % (5623)Memory used [KB]: 6140
% 2.42/1.79 % (5623)Time elapsed: 0.036 s
% 2.42/1.79 % (5623)Instructions burned: 128 (million)
% 2.42/1.79 % (5623)------------------------------
% 2.42/1.79 % (5623)------------------------------
% 2.42/1.80 % (5646)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5137 for (2998ds/100Mi)
% 2.42/1.81 % (5596)Instruction limit reached!
% 2.42/1.81 % (5596)------------------------------
% 2.42/1.81 % (5596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.81 % (5596)Termination reason: Unknown
% 2.42/1.81 % (5596)Termination phase: Saturation
% 2.42/1.81
% 2.42/1.81 % (5596)Memory used [KB]: 6652
% 2.42/1.81 % (5596)Time elapsed: 0.121 s
% 2.42/1.81 % (5596)Instructions burned: 377 (million)
% 2.42/1.81 % (5596)------------------------------
% 2.42/1.81 % (5596)------------------------------
% 2.42/1.82 % (5651)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/3Mi)
% 2.42/1.82 % (5651)Instruction limit reached!
% 2.42/1.82 % (5651)------------------------------
% 2.42/1.82 % (5651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.82 % (5651)Termination reason: Unknown
% 2.42/1.82 % (5651)Termination phase: shuffling
% 2.42/1.82
% 2.42/1.82 % (5651)Memory used [KB]: 1151
% 2.42/1.82 % (5651)Time elapsed: 0.002 s
% 2.42/1.82 % (5651)Instructions burned: 4 (million)
% 2.42/1.82 % (5651)------------------------------
% 2.42/1.82 % (5651)------------------------------
% 2.42/1.83 % (5646)Instruction limit reached!
% 2.42/1.83 % (5646)------------------------------
% 2.42/1.83 % (5646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.83 % (5646)Termination reason: Unknown
% 2.42/1.83 % (5646)Termination phase: Saturation
% 2.42/1.83
% 2.42/1.83 % (5646)Memory used [KB]: 6268
% 2.42/1.83 % (5646)Time elapsed: 0.028 s
% 2.42/1.83 % (5646)Instructions burned: 101 (million)
% 2.42/1.83 % (5646)------------------------------
% 2.42/1.83 % (5646)------------------------------
% 2.42/1.83 % (5662)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/20Mi)
% 2.42/1.83 % (5662)Instruction limit reached!
% 2.42/1.83 % (5662)------------------------------
% 2.42/1.83 % (5662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.83 % (5662)Termination reason: Unknown
% 2.42/1.83 % (5662)Termination phase: SInE selection
% 2.42/1.83
% 2.42/1.83 % (5662)Memory used [KB]: 1151
% 2.42/1.83 % (5662)Time elapsed: 0.006 s
% 2.42/1.83 % (5662)Instructions burned: 20 (million)
% 2.42/1.83 % (5662)------------------------------
% 2.42/1.83 % (5662)------------------------------
% 2.42/1.84 % (5669)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/86Mi)
% 2.42/1.84 % (5673)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/107Mi)
% 2.42/1.86 % (5669)Instruction limit reached!
% 2.42/1.86 % (5669)------------------------------
% 2.42/1.86 % (5669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.86 % (5669)Termination reason: Unknown
% 2.42/1.86 % (5669)Termination phase: Saturation
% 2.42/1.86
% 2.42/1.86 % (5669)Memory used [KB]: 6140
% 2.42/1.86 % (5669)Time elapsed: 0.027 s
% 2.42/1.86 % (5669)Instructions burned: 88 (million)
% 2.42/1.86 % (5669)------------------------------
% 2.42/1.86 % (5669)------------------------------
% 2.42/1.87 % (5688)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/39Mi)
% 2.42/1.87 % (5673)Instruction limit reached!
% 2.42/1.87 % (5673)------------------------------
% 2.42/1.87 % (5673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.87 % (5673)Termination reason: Unknown
% 2.42/1.87 % (5673)Termination phase: Saturation
% 2.42/1.87
% 2.42/1.87 % (5673)Memory used [KB]: 6268
% 2.42/1.87 % (5673)Time elapsed: 0.032 s
% 2.42/1.87 % (5673)Instructions burned: 108 (million)
% 2.42/1.87 % (5673)------------------------------
% 2.42/1.87 % (5673)------------------------------
% 2.42/1.88 % (5688)Instruction limit reached!
% 2.42/1.88 % (5688)------------------------------
% 2.42/1.88 % (5688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.88 % (5688)Termination reason: Unknown
% 2.42/1.88 % (5688)Termination phase: Property scanning
% 2.42/1.88
% 2.42/1.88 % (5688)Memory used [KB]: 1407
% 2.42/1.88 % (5688)Time elapsed: 0.011 s
% 2.42/1.88 % (5688)Instructions burned: 41 (million)
% 2.42/1.88 % (5688)------------------------------
% 2.42/1.88 % (5688)------------------------------
% 2.42/1.88 % (5695)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/448Mi)
% 2.42/1.89 % (5697)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/46Mi)
% 2.42/1.90 % (5697)Instruction limit reached!
% 2.42/1.90 % (5697)------------------------------
% 2.42/1.90 % (5697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.90 % (5697)Termination reason: Unknown
% 2.42/1.90 % (5697)Termination phase: Saturation
% 2.42/1.90
% 2.42/1.90 % (5697)Memory used [KB]: 5884
% 2.42/1.90 % (5697)Time elapsed: 0.013 s
% 2.42/1.90 % (5697)Instructions burned: 46 (million)
% 2.42/1.90 % (5697)------------------------------
% 2.42/1.90 % (5697)------------------------------
% 2.42/1.91 % (5589)Instruction limit reached!
% 2.42/1.91 % (5589)------------------------------
% 2.42/1.91 % (5589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.91 % (5589)Termination reason: Unknown
% 2.42/1.91 % (5589)Termination phase: Saturation
% 2.42/1.91
% 2.42/1.91 % (5589)Memory used [KB]: 7291
% 2.42/1.91 % (5589)Time elapsed: 0.224 s
% 2.42/1.91 % (5589)Instructions burned: 712 (million)
% 2.42/1.91 % (5589)------------------------------
% 2.42/1.91 % (5589)------------------------------
% 2.42/1.91 % (5711)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/98Mi)
% 2.42/1.92 % (5713)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_5137 for (2997ds/507Mi)
% 2.42/1.92 % (5599)Instruction limit reached!
% 2.42/1.92 % (5599)------------------------------
% 2.42/1.92 % (5599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.92 % (5599)Termination reason: Unknown
% 2.42/1.92 % (5599)Termination phase: Saturation
% 2.42/1.92
% 2.42/1.92 % (5599)Memory used [KB]: 8059
% 2.42/1.92 % (5599)Time elapsed: 0.231 s
% 2.42/1.92 % (5599)Instructions burned: 779 (million)
% 2.42/1.92 % (5599)------------------------------
% 2.42/1.92 % (5599)------------------------------
% 2.42/1.93 % (5721)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/149Mi)
% 2.42/1.94 % (5711)Instruction limit reached!
% 2.42/1.94 % (5711)------------------------------
% 2.42/1.94 % (5711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.94 % (5711)Termination reason: Unknown
% 2.42/1.94 % (5711)Termination phase: Saturation
% 2.42/1.94
% 2.42/1.94 % (5711)Memory used [KB]: 1663
% 2.42/1.94 % (5711)Time elapsed: 0.028 s
% 2.42/1.94 % (5711)Instructions burned: 100 (million)
% 2.42/1.94 % (5711)------------------------------
% 2.42/1.94 % (5711)------------------------------
% 2.42/1.95 % (5726)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/39Mi)
% 2.42/1.96 % (5726)Instruction limit reached!
% 2.42/1.96 % (5726)------------------------------
% 2.42/1.96 % (5726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.96 % (5726)Termination reason: Unknown
% 2.42/1.96 % (5726)Termination phase: Property scanning
% 2.42/1.96
% 2.42/1.96 % (5726)Memory used [KB]: 1407
% 2.42/1.96 % (5726)Time elapsed: 0.012 s
% 2.42/1.96 % (5726)Instructions burned: 41 (million)
% 2.42/1.96 % (5726)------------------------------
% 2.42/1.96 % (5726)------------------------------
% 2.42/1.97 % (5738)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/6Mi)
% 2.42/1.97 % (5592)Instruction limit reached!
% 2.42/1.97 % (5592)------------------------------
% 2.42/1.97 % (5592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.97 % (5592)Termination reason: Unknown
% 2.42/1.97 % (5592)Termination phase: Saturation
% 2.42/1.97
% 2.42/1.97 % (5592)Memory used [KB]: 7419
% 2.42/1.97 % (5592)Time elapsed: 0.287 s
% 2.42/1.97 % (5592)Instructions burned: 902 (million)
% 2.42/1.97 % (5592)------------------------------
% 2.42/1.97 % (5592)------------------------------
% 2.42/1.97 % (5738)Instruction limit reached!
% 2.42/1.97 % (5738)------------------------------
% 2.42/1.97 % (5738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.97 % (5738)Termination reason: Unknown
% 2.42/1.97 % (5738)Termination phase: shuffling
% 2.42/1.97
% 2.42/1.97 % (5738)Memory used [KB]: 1151
% 2.42/1.97 % (5738)Time elapsed: 0.003 s
% 2.42/1.97 % (5738)Instructions burned: 8 (million)
% 2.42/1.97 % (5738)------------------------------
% 2.42/1.97 % (5738)------------------------------
% 2.42/1.98 % (5561)Instruction limit reached!
% 2.42/1.98 % (5561)------------------------------
% 2.42/1.98 % (5561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.98 % (5561)Termination reason: Unknown
% 2.42/1.98 % (5561)Termination phase: Saturation
% 2.42/1.98
% 2.42/1.98 % (5561)Memory used [KB]: 9083
% 2.42/1.98 % (5561)Time elapsed: 0.340 s
% 2.42/1.98 % (5561)Instructions burned: 1042 (million)
% 2.42/1.98 % (5561)------------------------------
% 2.42/1.98 % (5561)------------------------------
% 2.42/1.98 % (5744)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/1087Mi)
% 2.42/1.98 % (5745)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/47Mi)
% 2.42/1.99 % (5721)Instruction limit reached!
% 2.42/1.99 % (5721)------------------------------
% 2.42/1.99 % (5721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.99 % (5721)Termination reason: Unknown
% 2.42/1.99 % (5721)Termination phase: Saturation
% 2.42/1.99
% 2.42/1.99 % (5721)Memory used [KB]: 6268
% 2.42/1.99 % (5721)Time elapsed: 0.074 s
% 2.42/1.99 % (5721)Instructions burned: 149 (million)
% 2.42/1.99 % (5721)------------------------------
% 2.42/1.99 % (5721)------------------------------
% 2.42/1.99 % (5749)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/44Mi)
% 2.42/1.99 % (5745)Instruction limit reached!
% 2.42/1.99 % (5745)------------------------------
% 2.42/1.99 % (5745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.99 % (5745)Termination reason: Unknown
% 2.42/1.99 % (5745)Termination phase: Saturation
% 2.42/1.99
% 2.42/1.99 % (5745)Memory used [KB]: 5884
% 2.42/1.99 % (5745)Time elapsed: 0.013 s
% 2.42/1.99 % (5745)Instructions burned: 47 (million)
% 2.42/1.99 % (5745)------------------------------
% 2.42/1.99 % (5745)------------------------------
% 2.42/1.99 % (5605)Refutation not found, non-redundant clauses discarded% (5605)------------------------------
% 2.42/1.99 % (5605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/1.99 % (5605)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.42/1.99
% 2.42/1.99 % (5605)Memory used [KB]: 8315
% 2.42/1.99 % (5605)Time elapsed: 0.277 s
% 2.42/1.99 % (5605)Instructions burned: 864 (million)
% 2.42/1.99 % (5605)------------------------------
% 2.42/1.99 % (5605)------------------------------
% 2.42/2.00 % (5751)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_5137 for (2996ds/432Mi)
% 2.42/2.00 % (5749)Instruction limit reached!
% 2.42/2.00 % (5749)------------------------------
% 2.42/2.00 % (5749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/2.00 % (5749)Termination reason: Unknown
% 2.42/2.00 % (5749)Termination phase: Property scanning
% 2.42/2.00
% 2.42/2.00 % (5749)Memory used [KB]: 1407
% 2.42/2.00 % (5749)Time elapsed: 0.012 s
% 2.42/2.00 % (5749)Instructions burned: 45 (million)
% 2.42/2.00 % (5749)------------------------------
% 2.42/2.00 % (5749)------------------------------
% 2.42/2.00 % (5754)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/62Mi)
% 2.42/2.00 % (5695)Instruction limit reached!
% 2.42/2.00 % (5695)------------------------------
% 2.42/2.00 % (5695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.42/2.00 % (5695)Termination reason: Unknown
% 2.42/2.00 % (5695)Termination phase: Saturation
% 2.42/2.00
% 2.42/2.00 % (5695)Memory used [KB]: 7291
% 2.42/2.00 % (5695)Time elapsed: 0.122 s
% 2.42/2.00 % (5695)Instructions burned: 449 (million)
% 2.42/2.00 % (5695)------------------------------
% 2.42/2.00 % (5695)------------------------------
% 2.42/2.01 % (5757)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/96Mi)
% 5.22/2.01 % (5756)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/31Mi)
% 5.22/2.01 % (5760)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/453Mi)
% 5.22/2.02 % (5754)Instruction limit reached!
% 5.22/2.02 % (5754)------------------------------
% 5.22/2.02 % (5754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.02 % (5754)Termination reason: Unknown
% 5.22/2.02 % (5754)Termination phase: Saturation
% 5.22/2.02
% 5.22/2.02 % (5754)Memory used [KB]: 5884
% 5.22/2.02 % (5754)Time elapsed: 0.016 s
% 5.22/2.02 % (5754)Instructions burned: 62 (million)
% 5.22/2.02 % (5754)------------------------------
% 5.22/2.02 % (5754)------------------------------
% 5.22/2.03 % (5767)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/71Mi)
% 5.22/2.03 % (5756)Instruction limit reached!
% 5.22/2.03 % (5756)------------------------------
% 5.22/2.03 % (5756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.03 % (5756)Termination reason: Unknown
% 5.22/2.03 % (5756)Termination phase: Property scanning
% 5.22/2.03
% 5.22/2.03 % (5756)Memory used [KB]: 1407
% 5.22/2.03 % (5756)Time elapsed: 0.018 s
% 5.22/2.03 % (5756)Instructions burned: 31 (million)
% 5.22/2.03 % (5756)------------------------------
% 5.22/2.03 % (5756)------------------------------
% 5.22/2.04 % (5757)Instruction limit reached!
% 5.22/2.04 % (5757)------------------------------
% 5.22/2.04 % (5757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.04 % (5757)Termination reason: Unknown
% 5.22/2.04 % (5757)Termination phase: Saturation
% 5.22/2.04
% 5.22/2.04 % (5757)Memory used [KB]: 6140
% 5.22/2.04 % (5757)Time elapsed: 0.030 s
% 5.22/2.04 % (5757)Instructions burned: 98 (million)
% 5.22/2.04 % (5757)------------------------------
% 5.22/2.04 % (5757)------------------------------
% 5.22/2.05 % (5767)Instruction limit reached!
% 5.22/2.05 % (5767)------------------------------
% 5.22/2.05 % (5767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.05 % (5767)Termination reason: Unknown
% 5.22/2.05 % (5767)Termination phase: Saturation
% 5.22/2.05
% 5.22/2.05 % (5767)Memory used [KB]: 6140
% 5.22/2.05 % (5767)Time elapsed: 0.021 s
% 5.22/2.05 % (5767)Instructions burned: 73 (million)
% 5.22/2.05 % (5767)------------------------------
% 5.22/2.05 % (5767)------------------------------
% 5.22/2.05 % (5774)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/83Mi)
% 5.22/2.05 % (5778)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/11Mi)
% 5.22/2.05 % (5778)Instruction limit reached!
% 5.22/2.05 % (5778)------------------------------
% 5.22/2.05 % (5778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.05 % (5778)Termination reason: Unknown
% 5.22/2.05 % (5778)Termination phase: shuffling
% 5.22/2.05
% 5.22/2.05 % (5778)Memory used [KB]: 1279
% 5.22/2.05 % (5778)Time elapsed: 0.004 s
% 5.22/2.05 % (5778)Instructions burned: 12 (million)
% 5.22/2.05 % (5778)------------------------------
% 5.22/2.05 % (5778)------------------------------
% 5.22/2.06 % (5780)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/41Mi)
% 5.22/2.06 % (5784)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/6Mi)
% 5.22/2.06 % (5784)Instruction limit reached!
% 5.22/2.06 % (5784)------------------------------
% 5.22/2.06 % (5784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.06 % (5784)Termination reason: Unknown
% 5.22/2.06 % (5784)Termination phase: shuffling
% 5.22/2.06
% 5.22/2.06 % (5784)Memory used [KB]: 1151
% 5.22/2.06 % (5784)Time elapsed: 0.003 s
% 5.22/2.06 % (5784)Instructions burned: 7 (million)
% 5.22/2.06 % (5784)------------------------------
% 5.22/2.06 % (5784)------------------------------
% 5.22/2.07 % (5780)Instruction limit reached!
% 5.22/2.07 % (5780)------------------------------
% 5.22/2.07 % (5780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.07 % (5780)Termination reason: Unknown
% 5.22/2.07 % (5780)Termination phase: Property scanning
% 5.22/2.07
% 5.22/2.07 % (5780)Memory used [KB]: 1407
% 5.22/2.07 % (5780)Time elapsed: 0.012 s
% 5.22/2.07 % (5780)Instructions burned: 44 (million)
% 5.22/2.07 % (5780)------------------------------
% 5.22/2.07 % (5780)------------------------------
% 5.22/2.07 % (5713)Instruction limit reached!
% 5.22/2.07 % (5713)------------------------------
% 5.22/2.07 % (5713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.07 % (5713)Termination reason: Unknown
% 5.22/2.07 % (5713)Termination phase: Saturation
% 5.22/2.07
% 5.22/2.07 % (5713)Memory used [KB]: 7291
% 5.22/2.07 % (5713)Time elapsed: 0.154 s
% 5.22/2.07 % (5713)Instructions burned: 508 (million)
% 5.22/2.07 % (5713)------------------------------
% 5.22/2.07 % (5713)------------------------------
% 5.22/2.07 % (5793)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/150Mi)
% 5.22/2.08 % (5798)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/343Mi)
% 5.22/2.08 % (5800)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/109Mi)
% 5.22/2.09 % (5774)Instruction limit reached!
% 5.22/2.09 % (5774)------------------------------
% 5.22/2.09 % (5774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.09 % (5774)Termination reason: Unknown
% 5.22/2.09 % (5774)Termination phase: Saturation
% 5.22/2.09
% 5.22/2.09 % (5774)Memory used [KB]: 6012
% 5.22/2.09 % (5774)Time elapsed: 0.045 s
% 5.22/2.09 % (5774)Instructions burned: 84 (million)
% 5.22/2.09 % (5774)------------------------------
% 5.22/2.09 % (5774)------------------------------
% 5.22/2.11 % (5815)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_5137 for (2995ds/253Mi)
% 5.22/2.11 % (5800)Instruction limit reached!
% 5.22/2.11 % (5800)------------------------------
% 5.22/2.11 % (5800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.22/2.11 % (5800)Termination reason: Unknown
% 5.22/2.11 % (5800)Termination phase: Saturation
% 5.22/2.11
% 5.22/2.11 % (5800)Memory used [KB]: 6268
% 5.22/2.11 % (5800)Time elapsed: 0.032 s
% 5.22/2.11 % (5800)Instructions burned: 110 (million)
% 5.22/2.11 % (5800)------------------------------
% 5.22/2.11 % (5800)------------------------------
% 5.76/2.12 % (5793)Instruction limit reached!
% 5.76/2.12 % (5793)------------------------------
% 5.76/2.12 % (5793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.12 % (5793)Termination reason: Unknown
% 5.76/2.12 % (5793)Termination phase: Saturation
% 5.76/2.12
% 5.76/2.12 % (5793)Memory used [KB]: 6268
% 5.76/2.12 % (5793)Time elapsed: 0.046 s
% 5.76/2.12 % (5793)Instructions burned: 151 (million)
% 5.76/2.12 % (5793)------------------------------
% 5.76/2.12 % (5793)------------------------------
% 5.76/2.12 % (5822)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/140Mi)
% 5.76/2.12 % (5751)Instruction limit reached!
% 5.76/2.12 % (5751)------------------------------
% 5.76/2.12 % (5751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.12 % (5751)Termination reason: Unknown
% 5.76/2.12 % (5751)Termination phase: Saturation
% 5.76/2.12
% 5.76/2.12 % (5751)Memory used [KB]: 2942
% 5.76/2.12 % (5751)Time elapsed: 0.131 s
% 5.76/2.12 % (5751)Instructions burned: 432 (million)
% 5.76/2.12 % (5751)------------------------------
% 5.76/2.12 % (5751)------------------------------
% 5.76/2.13 % (5825)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/614Mi)
% 5.76/2.13 % (5826)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/202Mi)
% 5.76/2.14 % (5760)Instruction limit reached!
% 5.76/2.14 % (5760)------------------------------
% 5.76/2.14 % (5760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.14 % (5760)Termination reason: Unknown
% 5.76/2.14 % (5760)Termination phase: Saturation
% 5.76/2.14
% 5.76/2.14 % (5760)Memory used [KB]: 6524
% 5.76/2.14 % (5760)Time elapsed: 0.131 s
% 5.76/2.14 % (5760)Instructions burned: 453 (million)
% 5.76/2.14 % (5760)------------------------------
% 5.76/2.14 % (5760)------------------------------
% 5.76/2.15 % (5827)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/339Mi)
% 5.76/2.16 % (5826)Refutation not found, incomplete strategy
% 5.76/2.16 % (5826)------------------------------
% 5.76/2.16 % (5826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.16 % (5826)Termination reason: Refutation not found, incomplete strategy
% 5.76/2.16
% 5.76/2.16
% 5.76/2.16 % (5826)Memory used [KB]: 6140
% 5.76/2.16 % (5826)Time elapsed: 0.022 s
% 5.76/2.16 % (5826)Instructions burned: 77 (million)
% 5.76/2.16 % (5826)------------------------------
% 5.76/2.16 % (5826)------------------------------
% 5.76/2.16 % (5822)Instruction limit reached!
% 5.76/2.16 % (5822)------------------------------
% 5.76/2.16 % (5822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.16 % (5822)Termination reason: Unknown
% 5.76/2.16 % (5822)Termination phase: Saturation
% 5.76/2.16
% 5.76/2.16 % (5822)Memory used [KB]: 6268
% 5.76/2.16 % (5822)Time elapsed: 0.042 s
% 5.76/2.16 % (5822)Instructions burned: 140 (million)
% 5.76/2.16 % (5822)------------------------------
% 5.76/2.16 % (5822)------------------------------
% 5.76/2.17 % (5828)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/283Mi)
% 5.76/2.17 % (5829)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/134Mi)
% 5.76/2.17 % (5798)Instruction limit reached!
% 5.76/2.17 % (5798)------------------------------
% 5.76/2.17 % (5798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.17 % (5798)Termination reason: Unknown
% 5.76/2.17 % (5798)Termination phase: Saturation
% 5.76/2.17
% 5.76/2.17 % (5798)Memory used [KB]: 6780
% 5.76/2.17 % (5798)Time elapsed: 0.099 s
% 5.76/2.17 % (5798)Instructions burned: 345 (million)
% 5.76/2.17 % (5798)------------------------------
% 5.76/2.17 % (5798)------------------------------
% 5.76/2.18 % (5830)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/298Mi)
% 5.76/2.18 % (5815)Instruction limit reached!
% 5.76/2.18 % (5815)------------------------------
% 5.76/2.18 % (5815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.76/2.18 % (5815)Termination reason: Unknown
% 5.76/2.18 % (5815)Termination phase: Saturation
% 5.76/2.18
% 5.76/2.18 % (5815)Memory used [KB]: 6652
% 5.76/2.18 % (5815)Time elapsed: 0.079 s
% 5.76/2.18 % (5815)Instructions burned: 255 (million)
% 5.76/2.18 % (5815)------------------------------
% 5.76/2.18 % (5815)------------------------------
% 5.76/2.19 % (5831)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5137 for (2994ds/192Mi)
% 6.34/2.21 % (5829)Instruction limit reached!
% 6.34/2.21 % (5829)------------------------------
% 6.34/2.21 % (5829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.21 % (5829)Termination reason: Unknown
% 6.34/2.21 % (5829)Termination phase: Saturation
% 6.34/2.21
% 6.34/2.21 % (5829)Memory used [KB]: 6140
% 6.34/2.21 % (5829)Time elapsed: 0.041 s
% 6.34/2.21 % (5829)Instructions burned: 135 (million)
% 6.34/2.21 % (5829)------------------------------
% 6.34/2.21 % (5829)------------------------------
% 6.34/2.22 % (5832)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/258Mi)
% 6.34/2.24 % (5828)Instruction limit reached!
% 6.34/2.24 % (5828)------------------------------
% 6.34/2.24 % (5828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.24 % (5828)Termination reason: Unknown
% 6.34/2.24 % (5828)Termination phase: Saturation
% 6.34/2.24
% 6.34/2.24 % (5828)Memory used [KB]: 6780
% 6.34/2.24 % (5828)Time elapsed: 0.080 s
% 6.34/2.24 % (5828)Instructions burned: 284 (million)
% 6.34/2.24 % (5828)------------------------------
% 6.34/2.24 % (5828)------------------------------
% 6.34/2.25 % (5827)Instruction limit reached!
% 6.34/2.25 % (5827)------------------------------
% 6.34/2.25 % (5827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.25 % (5827)Termination reason: Unknown
% 6.34/2.25 % (5827)Termination phase: Saturation
% 6.34/2.25
% 6.34/2.25 % (5827)Memory used [KB]: 6780
% 6.34/2.25 % (5827)Time elapsed: 0.096 s
% 6.34/2.25 % (5827)Instructions burned: 340 (million)
% 6.34/2.25 % (5827)------------------------------
% 6.34/2.25 % (5827)------------------------------
% 6.34/2.25 % (5831)Instruction limit reached!
% 6.34/2.25 % (5831)------------------------------
% 6.34/2.25 % (5831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.25 % (5831)Termination reason: Unknown
% 6.34/2.25 % (5831)Termination phase: Saturation
% 6.34/2.25
% 6.34/2.25 % (5831)Memory used [KB]: 6524
% 6.34/2.25 % (5831)Time elapsed: 0.061 s
% 6.34/2.25 % (5831)Instructions burned: 195 (million)
% 6.34/2.25 % (5831)------------------------------
% 6.34/2.25 % (5831)------------------------------
% 6.34/2.25 % (5833)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/90Mi)
% 6.34/2.26 % (5834)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/231Mi)
% 6.34/2.26 % (5835)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/458Mi)
% 6.34/2.27 % (5830)Instruction limit reached!
% 6.34/2.27 % (5830)------------------------------
% 6.34/2.27 % (5830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.27 % (5830)Termination reason: Unknown
% 6.34/2.27 % (5830)Termination phase: Saturation
% 6.34/2.27
% 6.34/2.27 % (5830)Memory used [KB]: 6652
% 6.34/2.27 % (5830)Time elapsed: 0.085 s
% 6.34/2.27 % (5830)Instructions burned: 299 (million)
% 6.34/2.27 % (5830)------------------------------
% 6.34/2.27 % (5830)------------------------------
% 6.34/2.28 % (5836)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/31Mi)
% 6.34/2.28 % (5833)Instruction limit reached!
% 6.34/2.28 % (5833)------------------------------
% 6.34/2.28 % (5833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.28 % (5833)Termination reason: Unknown
% 6.34/2.28 % (5833)Termination phase: Saturation
% 6.34/2.28
% 6.34/2.28 % (5833)Memory used [KB]: 6268
% 6.34/2.28 % (5833)Time elapsed: 0.026 s
% 6.34/2.28 % (5833)Instructions burned: 90 (million)
% 6.34/2.28 % (5833)------------------------------
% 6.34/2.28 % (5833)------------------------------
% 6.34/2.29 % (5836)Instruction limit reached!
% 6.34/2.29 % (5836)------------------------------
% 6.34/2.29 % (5836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.29 % (5836)Termination reason: Unknown
% 6.34/2.29 % (5836)Termination phase: Property scanning
% 6.34/2.29
% 6.34/2.29 % (5836)Memory used [KB]: 1407
% 6.34/2.29 % (5836)Time elapsed: 0.010 s
% 6.34/2.29 % (5836)Instructions burned: 34 (million)
% 6.34/2.29 % (5836)------------------------------
% 6.34/2.29 % (5836)------------------------------
% 6.34/2.29 % (5837)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/297Mi)
% 6.34/2.29 % (5744)Instruction limit reached!
% 6.34/2.29 % (5744)------------------------------
% 6.34/2.29 % (5744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.29 % (5744)Termination reason: Unknown
% 6.34/2.29 % (5744)Termination phase: Saturation
% 6.34/2.29
% 6.34/2.29 % (5744)Memory used [KB]: 7419
% 6.34/2.29 % (5744)Time elapsed: 0.333 s
% 6.34/2.29 % (5744)Instructions burned: 1089 (million)
% 6.34/2.29 % (5744)------------------------------
% 6.34/2.29 % (5744)------------------------------
% 6.34/2.29 % (5832)Instruction limit reached!
% 6.34/2.29 % (5832)------------------------------
% 6.34/2.29 % (5832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.29 % (5832)Termination reason: Unknown
% 6.34/2.29 % (5832)Termination phase: Saturation
% 6.34/2.29
% 6.34/2.29 % (5832)Memory used [KB]: 6780
% 6.34/2.29 % (5832)Time elapsed: 0.075 s
% 6.34/2.29 % (5832)Instructions burned: 258 (million)
% 6.34/2.29 % (5832)------------------------------
% 6.34/2.29 % (5832)------------------------------
% 6.34/2.30 % (5838)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/987Mi)
% 6.98/2.30 % (5839)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/182Mi)
% 6.98/2.30 % (5840)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/182Mi)
% 6.98/2.30 % (5825)Instruction limit reached!
% 6.98/2.30 % (5825)------------------------------
% 6.98/2.30 % (5825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.30 % (5825)Termination reason: Unknown
% 6.98/2.30 % (5825)Termination phase: Saturation
% 6.98/2.30
% 6.98/2.30 % (5825)Memory used [KB]: 7547
% 6.98/2.30 % (5825)Time elapsed: 0.178 s
% 6.98/2.30 % (5825)Instructions burned: 616 (million)
% 6.98/2.30 % (5825)------------------------------
% 6.98/2.30 % (5825)------------------------------
% 6.98/2.31 % (5841)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_5137 for (2993ds/154Mi)
% 6.98/2.33 % (5834)Instruction limit reached!
% 6.98/2.33 % (5834)------------------------------
% 6.98/2.33 % (5834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.33 % (5834)Termination reason: Unknown
% 6.98/2.33 % (5834)Termination phase: Saturation
% 6.98/2.33
% 6.98/2.33 % (5834)Memory used [KB]: 6524
% 6.98/2.33 % (5834)Time elapsed: 0.072 s
% 6.98/2.33 % (5834)Instructions burned: 232 (million)
% 6.98/2.33 % (5834)------------------------------
% 6.98/2.33 % (5834)------------------------------
% 6.98/2.34 % (5842)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/79Mi)
% 6.98/2.35 % (5839)Instruction limit reached!
% 6.98/2.35 % (5839)------------------------------
% 6.98/2.35 % (5839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.35 % (5839)Termination reason: Unknown
% 6.98/2.35 % (5839)Termination phase: Saturation
% 6.98/2.35
% 6.98/2.35 % (5839)Memory used [KB]: 6396
% 6.98/2.35 % (5839)Time elapsed: 0.056 s
% 6.98/2.35 % (5839)Instructions burned: 182 (million)
% 6.98/2.35 % (5839)------------------------------
% 6.98/2.35 % (5839)------------------------------
% 6.98/2.35 % (5840)Instruction limit reached!
% 6.98/2.35 % (5840)------------------------------
% 6.98/2.35 % (5840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.35 % (5840)Termination reason: Unknown
% 6.98/2.35 % (5840)Termination phase: Saturation
% 6.98/2.35
% 6.98/2.35 % (5840)Memory used [KB]: 6396
% 6.98/2.35 % (5840)Time elapsed: 0.053 s
% 6.98/2.35 % (5840)Instructions burned: 184 (million)
% 6.98/2.35 % (5840)------------------------------
% 6.98/2.35 % (5840)------------------------------
% 6.98/2.36 % (5841)Refutation not found, incomplete strategy
% 6.98/2.36 % (5841)------------------------------
% 6.98/2.36 % (5841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.36 % (5841)Termination reason: Refutation not found, incomplete strategy
% 6.98/2.36
% 6.98/2.36
% 6.98/2.36 % (5841)Memory used [KB]: 6396
% 6.98/2.36 % (5841)Time elapsed: 0.044 s
% 6.98/2.36 % (5841)Instructions burned: 152 (million)
% 6.98/2.36 % (5841)------------------------------
% 6.98/2.36 % (5841)------------------------------
% 6.98/2.36 % (5842)Instruction limit reached!
% 6.98/2.36 % (5842)------------------------------
% 6.98/2.36 % (5842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.36 % (5842)Termination reason: Unknown
% 6.98/2.36 % (5842)Termination phase: Saturation
% 6.98/2.36
% 6.98/2.36 % (5842)Memory used [KB]: 6140
% 6.98/2.36 % (5842)Time elapsed: 0.024 s
% 6.98/2.36 % (5842)Instructions burned: 80 (million)
% 6.98/2.36 % (5842)------------------------------
% 6.98/2.36 % (5842)------------------------------
% 6.98/2.36 % (5844)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/114Mi)
% 6.98/2.37 % (5845)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/922Mi)
% 6.98/2.37 % (5837)Instruction limit reached!
% 6.98/2.37 % (5837)------------------------------
% 6.98/2.37 % (5837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.37 % (5837)Termination reason: Unknown
% 6.98/2.37 % (5837)Termination phase: Saturation
% 6.98/2.37
% 6.98/2.37 % (5837)Memory used [KB]: 6140
% 6.98/2.37 % (5837)Time elapsed: 0.082 s
% 6.98/2.37 % (5837)Instructions burned: 297 (million)
% 6.98/2.37 % (5837)------------------------------
% 6.98/2.37 % (5837)------------------------------
% 6.98/2.37 % (5846)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/182Mi)
% 6.98/2.37 % (5843)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/216Mi)
% 6.98/2.38 % (5847)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_5137 for (2992ds/164Mi)
% 7.54/2.40 % (5844)Instruction limit reached!
% 7.54/2.40 % (5844)------------------------------
% 7.54/2.40 % (5844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.40 % (5844)Termination reason: Unknown
% 7.54/2.40 % (5844)Termination phase: Saturation
% 7.54/2.40
% 7.54/2.40 % (5844)Memory used [KB]: 6268
% 7.54/2.40 % (5844)Time elapsed: 0.034 s
% 7.54/2.40 % (5844)Instructions burned: 116 (million)
% 7.54/2.40 % (5844)------------------------------
% 7.54/2.40 % (5844)------------------------------
% 7.54/2.40 % (5835)Instruction limit reached!
% 7.54/2.40 % (5835)------------------------------
% 7.54/2.40 % (5835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.40 % (5835)Termination reason: Unknown
% 7.54/2.40 % (5835)Termination phase: Saturation
% 7.54/2.40
% 7.54/2.40 % (5835)Memory used [KB]: 7419
% 7.54/2.40 % (5835)Time elapsed: 0.143 s
% 7.54/2.40 % (5835)Instructions burned: 461 (million)
% 7.54/2.40 % (5835)------------------------------
% 7.54/2.40 % (5835)------------------------------
% 7.54/2.41 % (5848)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/50Mi)
% 7.54/2.41 % (5849)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/368Mi)
% 7.54/2.42 % (5848)Instruction limit reached!
% 7.54/2.42 % (5848)------------------------------
% 7.54/2.42 % (5848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.42 % (5848)Termination reason: Unknown
% 7.54/2.42 % (5848)Termination phase: Property scanning
% 7.54/2.42
% 7.54/2.42 % (5848)Memory used [KB]: 1407
% 7.54/2.42 % (5848)Time elapsed: 0.013 s
% 7.54/2.42 % (5848)Instructions burned: 50 (million)
% 7.54/2.42 % (5848)------------------------------
% 7.54/2.42 % (5848)------------------------------
% 7.54/2.42 % (5846)Instruction limit reached!
% 7.54/2.42 % (5846)------------------------------
% 7.54/2.42 % (5846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.42 % (5846)Termination reason: Unknown
% 7.54/2.42 % (5846)Termination phase: Saturation
% 7.54/2.42
% 7.54/2.42 % (5846)Memory used [KB]: 6652
% 7.54/2.42 % (5846)Time elapsed: 0.051 s
% 7.54/2.42 % (5846)Instructions burned: 185 (million)
% 7.54/2.42 % (5846)------------------------------
% 7.54/2.42 % (5846)------------------------------
% 7.54/2.42 % (5847)Instruction limit reached!
% 7.54/2.42 % (5847)------------------------------
% 7.54/2.42 % (5847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.42 % (5847)Termination reason: Unknown
% 7.54/2.42 % (5847)Termination phase: Saturation
% 7.54/2.42
% 7.54/2.42 % (5847)Memory used [KB]: 1918
% 7.54/2.42 % (5847)Time elapsed: 0.046 s
% 7.54/2.42 % (5847)Instructions burned: 165 (million)
% 7.54/2.42 % (5847)------------------------------
% 7.54/2.42 % (5847)------------------------------
% 7.54/2.43 % (5850)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/1021Mi)
% 7.54/2.43 % (5851)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/267Mi)
% 7.54/2.43 % (5852)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/204Mi)
% 7.54/2.47 % (5843)Instruction limit reached!
% 7.54/2.47 % (5843)------------------------------
% 7.54/2.47 % (5843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.47 % (5843)Termination reason: Unknown
% 7.54/2.47 % (5843)Termination phase: Saturation
% 7.54/2.47
% 7.54/2.47 % (5843)Memory used [KB]: 6268
% 7.54/2.47 % (5843)Time elapsed: 0.101 s
% 7.54/2.47 % (5843)Instructions burned: 218 (million)
% 7.54/2.47 % (5843)------------------------------
% 7.54/2.47 % (5843)------------------------------
% 7.54/2.48 % (5853)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/26Mi)
% 7.54/2.49 % (5853)Instruction limit reached!
% 7.54/2.49 % (5853)------------------------------
% 7.54/2.49 % (5853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.49 % (5853)Termination reason: Unknown
% 7.54/2.49 % (5853)Termination phase: Property scanning
% 7.54/2.49
% 7.54/2.49 % (5853)Memory used [KB]: 1407
% 7.54/2.49 % (5853)Time elapsed: 0.009 s
% 7.54/2.49 % (5853)Instructions burned: 27 (million)
% 7.54/2.49 % (5853)------------------------------
% 7.54/2.49 % (5853)------------------------------
% 7.54/2.49 % (5852)Instruction limit reached!
% 7.54/2.49 % (5852)------------------------------
% 7.54/2.49 % (5852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.49 % (5852)Termination reason: Unknown
% 7.54/2.49 % (5852)Termination phase: Saturation
% 7.54/2.49
% 7.54/2.49 % (5852)Memory used [KB]: 6140
% 7.54/2.49 % (5852)Time elapsed: 0.058 s
% 7.54/2.49 % (5852)Instructions burned: 207 (million)
% 7.54/2.49 % (5852)------------------------------
% 7.54/2.49 % (5852)------------------------------
% 8.07/2.50 % (5854)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/53Mi)
% 8.07/2.50 % (5855)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_5137 for (2991ds/4436Mi)
% 8.07/2.51 % (5851)Instruction limit reached!
% 8.07/2.51 % (5851)------------------------------
% 8.07/2.51 % (5851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.07/2.51 % (5851)Termination reason: Unknown
% 8.07/2.51 % (5851)Termination phase: Saturation
% 8.07/2.51
% 8.07/2.51 % (5851)Memory used [KB]: 6908
% 8.07/2.51 % (5851)Time elapsed: 0.081 s
% 8.07/2.51 % (5851)Instructions burned: 268 (million)
% 8.07/2.51 % (5851)------------------------------
% 8.07/2.51 % (5851)------------------------------
% 8.07/2.51 % (5854)Instruction limit reached!
% 8.07/2.51 % (5854)------------------------------
% 8.07/2.51 % (5854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.07/2.51 % (5854)Termination reason: Unknown
% 8.07/2.51 % (5854)Termination phase: Property scanning
% 8.07/2.51
% 8.07/2.51 % (5854)Memory used [KB]: 1407
% 8.07/2.51 % (5854)Time elapsed: 0.015 s
% 8.07/2.51 % (5854)Instructions burned: 54 (million)
% 8.07/2.51 % (5854)------------------------------
% 8.07/2.51 % (5854)------------------------------
% 8.07/2.52 % (5856)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_5137 for (2990ds/1539Mi)
% 8.07/2.52 % (5857)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_5137 for (2990ds/408Mi)
% 8.07/2.53 % (5849)Instruction limit reached!
% 8.07/2.53 % (5849)------------------------------
% 8.07/2.53 % (5849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.07/2.53 % (5849)Termination reason: Unknown
% 8.07/2.53 % (5849)Termination phase: Saturation
% 8.07/2.53
% 8.07/2.53 % (5849)Memory used [KB]: 7164
% 8.07/2.53 % (5849)Time elapsed: 0.114 s
% 8.07/2.53 % (5849)Instructions burned: 368 (million)
% 8.07/2.53 % (5849)------------------------------
% 8.07/2.53 % (5849)------------------------------
% 8.07/2.54 % (5858)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_5137 for (2990ds/5205Mi)
% 8.07/2.58 % (5857)Refutation not found, incomplete strategy
% 8.07/2.58 % (5857)------------------------------
% 8.07/2.58 % (5857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.07/2.58 % (5857)Termination reason: Refutation not found, incomplete strategy
% 8.07/2.58
% 8.07/2.58
% 8.07/2.58 % (5857)Memory used [KB]: 6396
% 8.07/2.58 % (5857)Time elapsed: 0.056 s
% 8.07/2.58 % (5857)Instructions burned: 182 (million)
% 8.07/2.58 % (5857)------------------------------
% 8.07/2.58 % (5857)------------------------------
% 8.07/2.59 % (5859)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_5137 for (2990ds/1913Mi)
% 8.07/2.59 % (5838)Instruction limit reached!
% 8.07/2.59 % (5838)------------------------------
% 8.07/2.59 % (5838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.07/2.59 % (5838)Termination reason: Unknown
% 8.07/2.59 % (5838)Termination phase: Saturation
% 8.07/2.59
% 8.07/2.59 % (5838)Memory used [KB]: 7547
% 8.07/2.59 % (5838)Time elapsed: 0.297 s
% 8.07/2.59 % (5838)Instructions burned: 990 (million)
% 8.07/2.59 % (5838)------------------------------
% 8.07/2.59 % (5838)------------------------------
% 8.68/2.60 % (5860)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_5137 for (2990ds/4350Mi)
% 8.68/2.62 % (5845)Instruction limit reached!
% 8.68/2.62 % (5845)------------------------------
% 8.68/2.62 % (5845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.62 % (5845)Termination reason: Unknown
% 8.68/2.62 % (5845)Termination phase: Saturation
% 8.68/2.62
% 8.68/2.62 % (5845)Memory used [KB]: 7931
% 8.68/2.62 % (5845)Time elapsed: 0.279 s
% 8.68/2.62 % (5845)Instructions burned: 925 (million)
% 8.68/2.62 % (5845)------------------------------
% 8.68/2.62 % (5845)------------------------------
% 8.68/2.63 % (5861)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5137 for (2989ds/68Mi)
% 8.68/2.65 % (5861)Instruction limit reached!
% 8.68/2.65 % (5861)------------------------------
% 8.68/2.65 % (5861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.65 % (5861)Termination reason: Unknown
% 8.68/2.65 % (5861)Termination phase: Saturation
% 8.68/2.65
% 8.68/2.65 % (5861)Memory used [KB]: 6140
% 8.68/2.65 % (5861)Time elapsed: 0.020 s
% 8.68/2.65 % (5861)Instructions burned: 71 (million)
% 8.68/2.65 % (5861)------------------------------
% 8.68/2.65 % (5861)------------------------------
% 8.68/2.66 % (5862)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_5137 for (2989ds/358Mi)
% 8.98/2.71 % (5850)Instruction limit reached!
% 8.98/2.71 % (5850)------------------------------
% 8.98/2.71 % (5850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.71 % (5850)Termination reason: Unknown
% 8.98/2.71 % (5850)Termination phase: Saturation
% 8.98/2.71
% 8.98/2.71 % (5850)Memory used [KB]: 8315
% 8.98/2.71 % (5850)Time elapsed: 0.286 s
% 8.98/2.71 % (5850)Instructions burned: 1021 (million)
% 8.98/2.71 % (5850)------------------------------
% 8.98/2.71 % (5850)------------------------------
% 8.98/2.72 % (5863)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5137 for (2988ds/31Mi)
% 8.98/2.73 % (5863)Instruction limit reached!
% 8.98/2.73 % (5863)------------------------------
% 8.98/2.73 % (5863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.73 % (5863)Termination reason: Unknown
% 8.98/2.73 % (5863)Termination phase: Property scanning
% 8.98/2.73
% 8.98/2.73 % (5863)Memory used [KB]: 1407
% 8.98/2.73 % (5863)Time elapsed: 0.009 s
% 8.98/2.73 % (5863)Instructions burned: 31 (million)
% 8.98/2.73 % (5863)------------------------------
% 8.98/2.73 % (5863)------------------------------
% 8.98/2.74 % (5864)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5137 for (2988ds/279Mi)
% 8.98/2.76 % (5862)Instruction limit reached!
% 8.98/2.76 % (5862)------------------------------
% 8.98/2.76 % (5862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.76 % (5862)Termination reason: Unknown
% 8.98/2.76 % (5862)Termination phase: Saturation
% 8.98/2.76
% 8.98/2.76 % (5862)Memory used [KB]: 6524
% 8.98/2.76 % (5862)Time elapsed: 0.100 s
% 8.98/2.76 % (5862)Instructions burned: 360 (million)
% 8.98/2.76 % (5862)------------------------------
% 8.98/2.76 % (5862)------------------------------
% 8.98/2.76 % (5864)Refutation not found, incomplete strategy
% 8.98/2.76 % (5864)------------------------------
% 8.98/2.76 % (5864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.76 % (5864)Termination reason: Refutation not found, incomplete strategy
% 8.98/2.76
% 8.98/2.76
% 8.98/2.76 % (5864)Memory used [KB]: 6012
% 8.98/2.76 % (5864)Time elapsed: 0.022 s
% 8.98/2.76 % (5864)Instructions burned: 81 (million)
% 8.98/2.76 % (5864)------------------------------
% 8.98/2.76 % (5864)------------------------------
% 8.98/2.77 % (5865)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5137 for (2988ds/258Mi)
% 8.98/2.77 % (5866)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5137 for (2988ds/26Mi)
% 8.98/2.78 % (5866)Instruction limit reached!
% 8.98/2.78 % (5866)------------------------------
% 8.98/2.78 % (5866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.78 % (5866)Termination reason: Unknown
% 8.98/2.78 % (5866)Termination phase: Property scanning
% 8.98/2.78
% 8.98/2.78 % (5866)Memory used [KB]: 1407
% 8.98/2.78 % (5866)Time elapsed: 0.008 s
% 8.98/2.78 % (5866)Instructions burned: 29 (million)
% 8.98/2.78 % (5866)------------------------------
% 8.98/2.78 % (5866)------------------------------
% 8.98/2.79 % (5867)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_5137 for (2988ds/995Mi)
% 9.44/2.84 % (5865)Instruction limit reached!
% 9.44/2.84 % (5865)------------------------------
% 9.44/2.84 % (5865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.84 % (5865)Termination reason: Unknown
% 9.44/2.84 % (5865)Termination phase: Saturation
% 9.44/2.84
% 9.44/2.84 % (5865)Memory used [KB]: 6780
% 9.44/2.84 % (5865)Time elapsed: 0.075 s
% 9.44/2.84 % (5865)Instructions burned: 258 (million)
% 9.44/2.84 % (5865)------------------------------
% 9.44/2.84 % (5865)------------------------------
% 9.44/2.85 % (5868)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_5137 for (2987ds/373Mi)
% 9.53/2.95 % (5856)Instruction limit reached!
% 9.53/2.95 % (5856)------------------------------
% 9.53/2.95 % (5856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.53/2.95 % (5856)Termination reason: Unknown
% 9.53/2.95 % (5856)Termination phase: Saturation
% 9.53/2.95
% 9.53/2.95 % (5856)Memory used [KB]: 9083
% 9.53/2.95 % (5856)Time elapsed: 0.432 s
% 9.53/2.95 % (5856)Instructions burned: 1541 (million)
% 9.53/2.95 % (5856)------------------------------
% 9.53/2.95 % (5856)------------------------------
% 9.53/2.96 % (5868)Instruction limit reached!
% 9.53/2.96 % (5868)------------------------------
% 9.53/2.96 % (5868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.53/2.96 % (5868)Termination reason: Unknown
% 9.53/2.96 % (5868)Termination phase: Saturation
% 9.53/2.96
% 9.53/2.96 % (5868)Memory used [KB]: 6268
% 9.53/2.96 % (5868)Time elapsed: 0.109 s
% 9.53/2.96 % (5868)Instructions burned: 373 (million)
% 9.53/2.96 % (5868)------------------------------
% 9.53/2.96 % (5868)------------------------------
% 9.53/2.96 % (5869)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_5137 for (2986ds/253Mi)
% 9.53/2.97 % (5870)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_5137 for (2986ds/832Mi)
% 12.22/3.03 % (5870)Refutation not found, incomplete strategy
% 12.22/3.03 % (5870)------------------------------
% 12.22/3.03 % (5870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.22/3.03 % (5870)Termination reason: Refutation not found, incomplete strategy
% 12.22/3.03
% 12.22/3.03
% 12.22/3.03 % (5870)Memory used [KB]: 6652
% 12.22/3.03 % (5870)Time elapsed: 0.062 s
% 12.22/3.03 % (5870)Instructions burned: 212 (million)
% 12.22/3.03 % (5870)------------------------------
% 12.22/3.03 % (5870)------------------------------
% 12.22/3.03 % (5869)Instruction limit reached!
% 12.22/3.03 % (5869)------------------------------
% 12.22/3.03 % (5869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.22/3.03 % (5869)Termination reason: Unknown
% 12.22/3.03 % (5869)Termination phase: Saturation
% 12.22/3.03
% 12.22/3.03 % (5869)Memory used [KB]: 6396
% 12.22/3.03 % (5869)Time elapsed: 0.074 s
% 12.22/3.03 % (5869)Instructions burned: 254 (million)
% 12.22/3.03 % (5869)------------------------------
% 12.22/3.03 % (5869)------------------------------
% 12.22/3.04 % (5871)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_5137 for (2985ds/668Mi)
% 12.22/3.04 % (5872)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_5137 for (2985ds/40Mi)
% 12.22/3.05 % (5872)Instruction limit reached!
% 12.22/3.05 % (5872)------------------------------
% 12.22/3.05 % (5872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.22/3.05 % (5872)Termination reason: Unknown
% 12.22/3.05 % (5872)Termination phase: Function definition elimination
% 12.22/3.05
% 12.22/3.05 % (5872)Memory used [KB]: 1407
% 12.22/3.05 % (5872)Time elapsed: 0.011 s
% 12.22/3.05 % (5872)Instructions burned: 42 (million)
% 12.22/3.05 % (5872)------------------------------
% 12.22/3.05 % (5872)------------------------------
% 12.22/3.06 % (5873)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_5137 for (2985ds/294Mi)
% 12.22/3.07 % (5867)Instruction limit reached!
% 12.22/3.07 % (5867)------------------------------
% 12.22/3.07 % (5867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.22/3.07 % (5867)Termination reason: Unknown
% 12.22/3.07 % (5867)Termination phase: Saturation
% 12.22/3.07
% 12.22/3.07 % (5867)Memory used [KB]: 10746
% 12.22/3.07 % (5867)Time elapsed: 0.287 s
% 12.22/3.07 % (5867)Instructions burned: 997 (million)
% 12.22/3.07 % (5867)------------------------------
% 12.22/3.07 % (5867)------------------------------
% 12.22/3.08 % (5874)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_5137 for (2985ds/187Mi)
% 12.78/3.14 % (5873)Instruction limit reached!
% 12.78/3.14 % (5873)------------------------------
% 12.78/3.14 % (5873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.78/3.14 % (5873)Termination reason: Unknown
% 12.78/3.14 % (5873)Termination phase: Saturation
% 12.78/3.14
% 12.78/3.14 % (5873)Memory used [KB]: 6012
% 12.78/3.14 % (5873)Time elapsed: 0.074 s
% 12.78/3.14 % (5873)Instructions burned: 294 (million)
% 12.78/3.14 % (5873)------------------------------
% 12.78/3.14 % (5873)------------------------------
% 12.78/3.14 % (5874)Instruction limit reached!
% 12.78/3.14 % (5874)------------------------------
% 12.78/3.14 % (5874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.78/3.14 % (5874)Termination reason: Unknown
% 12.78/3.14 % (5874)Termination phase: Saturation
% 12.78/3.14
% 12.78/3.14 % (5874)Memory used [KB]: 6268
% 12.78/3.14 % (5874)Time elapsed: 0.057 s
% 12.78/3.14 % (5874)Instructions burned: 190 (million)
% 12.78/3.14 % (5874)------------------------------
% 12.78/3.14 % (5874)------------------------------
% 12.78/3.14 % (5875)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_5137 for (2984ds/371Mi)
% 12.78/3.15 % (5876)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_5137 for (2984ds/1827Mi)
% 12.78/3.18 % (5859)Instruction limit reached!
% 12.78/3.18 % (5859)------------------------------
% 12.78/3.18 % (5859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.78/3.18 % (5859)Termination reason: Unknown
% 12.78/3.18 % (5859)Termination phase: Saturation
% 12.78/3.18
% 12.78/3.18 % (5859)Memory used [KB]: 3070
% 12.78/3.18 % (5859)Time elapsed: 0.599 s
% 12.78/3.18 % (5859)Instructions burned: 1913 (million)
% 12.78/3.18 % (5859)------------------------------
% 12.78/3.18 % (5859)------------------------------
% 12.78/3.20 % (5877)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_5137 for (2984ds/70Mi)
% 13.26/3.21 % (5877)Instruction limit reached!
% 13.26/3.21 % (5877)------------------------------
% 13.26/3.21 % (5877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.21 % (5877)Termination reason: Unknown
% 13.26/3.21 % (5877)Termination phase: Saturation
% 13.26/3.21
% 13.26/3.21 % (5877)Memory used [KB]: 1407
% 13.26/3.21 % (5877)Time elapsed: 0.021 s
% 13.26/3.21 % (5877)Instructions burned: 70 (million)
% 13.26/3.21 % (5877)------------------------------
% 13.26/3.21 % (5877)------------------------------
% 13.26/3.22 % (5878)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_5137 for (2983ds/316Mi)
% 13.26/3.23 % (5871)Instruction limit reached!
% 13.26/3.23 % (5871)------------------------------
% 13.26/3.23 % (5871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.23 % (5871)Termination reason: Unknown
% 13.26/3.23 % (5871)Termination phase: Saturation
% 13.26/3.23
% 13.26/3.23 % (5871)Memory used [KB]: 13304
% 13.26/3.23 % (5871)Time elapsed: 0.195 s
% 13.26/3.23 % (5871)Instructions burned: 668 (million)
% 13.26/3.23 % (5871)------------------------------
% 13.26/3.23 % (5871)------------------------------
% 13.26/3.24 % (5879)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_5137 for (2983ds/932Mi)
% 13.26/3.25 % (5875)Instruction limit reached!
% 13.26/3.25 % (5875)------------------------------
% 13.26/3.25 % (5875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.25 % (5875)Termination reason: Unknown
% 13.26/3.25 % (5875)Termination phase: Saturation
% 13.26/3.25
% 13.26/3.25 % (5875)Memory used [KB]: 7291
% 13.26/3.25 % (5875)Time elapsed: 0.105 s
% 13.26/3.25 % (5875)Instructions burned: 371 (million)
% 13.26/3.25 % (5875)------------------------------
% 13.26/3.25 % (5875)------------------------------
% 13.26/3.25 % (5878)Refutation not found, incomplete strategy
% 13.26/3.25 % (5878)------------------------------
% 13.26/3.25 % (5878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.25 % (5878)Termination reason: Refutation not found, incomplete strategy
% 13.26/3.25
% 13.26/3.25
% 13.26/3.25 % (5878)Memory used [KB]: 6012
% 13.26/3.25 % (5878)Time elapsed: 0.027 s
% 13.26/3.25 % (5878)Instructions burned: 98 (million)
% 13.26/3.25 % (5878)------------------------------
% 13.26/3.25 % (5878)------------------------------
% 13.26/3.26 % (5880)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_5137 for (2983ds/4714Mi)
% 13.26/3.26 % (5881)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_5137 for (2983ds/8250Mi)
% 13.26/3.29 % (5880)Refutation not found, incomplete strategy
% 13.26/3.29 % (5880)------------------------------
% 13.26/3.29 % (5880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.29 % (5880)Termination reason: Refutation not found, incomplete strategy
% 13.26/3.29
% 13.26/3.29
% 13.26/3.29 % (5880)Memory used [KB]: 6140
% 13.26/3.29 % (5880)Time elapsed: 0.036 s
% 13.26/3.29 % (5880)Instructions burned: 133 (million)
% 13.26/3.29 % (5880)------------------------------
% 13.26/3.29 % (5880)------------------------------
% 13.99/3.30 % (5882)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_5137 for (2983ds/770Mi)
% 14.60/3.52 % (5882)Instruction limit reached!
% 14.60/3.52 % (5882)------------------------------
% 14.60/3.52 % (5882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.60/3.52 % (5882)Termination reason: Unknown
% 14.60/3.52 % (5882)Termination phase: Saturation
% 14.60/3.52
% 14.60/3.52 % (5882)Memory used [KB]: 6780
% 14.60/3.52 % (5882)Time elapsed: 0.218 s
% 14.60/3.52 % (5882)Instructions burned: 770 (million)
% 14.60/3.52 % (5882)------------------------------
% 14.60/3.52 % (5882)------------------------------
% 14.60/3.52 % (5879)Instruction limit reached!
% 14.60/3.52 % (5879)------------------------------
% 14.60/3.52 % (5879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.60/3.52 % (5879)Termination reason: Unknown
% 14.60/3.52 % (5879)Termination phase: Saturation
% 14.60/3.52
% 14.60/3.52 % (5879)Memory used [KB]: 8571
% 14.60/3.52 % (5879)Time elapsed: 0.279 s
% 14.60/3.52 % (5879)Instructions burned: 935 (million)
% 14.60/3.52 % (5879)------------------------------
% 14.60/3.52 % (5879)------------------------------
% 14.60/3.53 % (5883)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_5137 for (2980ds/794Mi)
% 14.60/3.53 % (5884)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_5137 for (2980ds/464Mi)
% 15.42/3.67 % (5884)Instruction limit reached!
% 15.42/3.67 % (5884)------------------------------
% 15.42/3.67 % (5884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.42/3.67 % (5884)Termination reason: Unknown
% 15.42/3.67 % (5884)Termination phase: Saturation
% 15.42/3.67
% 15.42/3.67 % (5884)Memory used [KB]: 6524
% 15.42/3.67 % (5884)Time elapsed: 0.135 s
% 15.42/3.67 % (5884)Instructions burned: 466 (million)
% 15.42/3.67 % (5884)------------------------------
% 15.42/3.67 % (5884)------------------------------
% 15.42/3.67 % (5876)Instruction limit reached!
% 15.42/3.67 % (5876)------------------------------
% 15.42/3.67 % (5876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.42/3.67 % (5876)Termination reason: Unknown
% 15.42/3.67 % (5876)Termination phase: Saturation
% 15.42/3.67
% 15.42/3.67 % (5876)Memory used [KB]: 10490
% 15.42/3.68 % (5876)Time elapsed: 0.528 s
% 15.42/3.68 % (5876)Instructions burned: 1829 (million)
% 15.42/3.68 % (5876)------------------------------
% 15.42/3.68 % (5876)------------------------------
% 15.42/3.68 % (5885)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_5137 for (2979ds/1376Mi)
% 15.42/3.68 % (5886)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_5137 for (2979ds/906Mi)
% 16.38/3.76 % (5883)Instruction limit reached!
% 16.38/3.76 % (5883)------------------------------
% 16.38/3.76 % (5883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.76 % (5883)Termination reason: Unknown
% 16.38/3.76 % (5883)Termination phase: Saturation
% 16.38/3.76
% 16.38/3.76 % (5883)Memory used [KB]: 3965
% 16.38/3.76 % (5883)Time elapsed: 0.234 s
% 16.38/3.76 % (5883)Instructions burned: 796 (million)
% 16.38/3.76 % (5883)------------------------------
% 16.38/3.76 % (5883)------------------------------
% 16.38/3.77 % (5855)Instruction limit reached!
% 16.38/3.77 % (5855)------------------------------
% 16.38/3.77 % (5855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.77 % (5855)Termination reason: Unknown
% 16.38/3.77 % (5855)Termination phase: Saturation
% 16.38/3.77
% 16.38/3.77 % (5855)Memory used [KB]: 9210
% 16.38/3.77 % (5855)Time elapsed: 1.268 s
% 16.38/3.77 % (5855)Instructions burned: 4439 (million)
% 16.38/3.77 % (5855)------------------------------
% 16.38/3.77 % (5855)------------------------------
% 16.38/3.77 % (5887)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_5137 for (2978ds/434Mi)
% 16.38/3.78 % (5888)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_5137 for (2978ds/865Mi)
% 16.92/3.86 % (5860)Instruction limit reached!
% 16.92/3.86 % (5860)------------------------------
% 16.92/3.86 % (5860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.92/3.86 % (5860)Termination reason: Unknown
% 16.92/3.86 % (5860)Termination phase: Saturation
% 16.92/3.86
% 16.92/3.86 % (5860)Memory used [KB]: 9722
% 16.92/3.86 % (5860)Time elapsed: 1.264 s
% 16.92/3.86 % (5860)Instructions burned: 4352 (million)
% 16.92/3.86 % (5860)------------------------------
% 16.92/3.86 % (5860)------------------------------
% 16.92/3.87 % (5889)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_5137 for (2977ds/593Mi)
% 16.92/3.89 % (5887)Instruction limit reached!
% 16.92/3.89 % (5887)------------------------------
% 16.92/3.89 % (5887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.92/3.89 % (5887)Termination reason: Unknown
% 16.92/3.89 % (5887)Termination phase: Saturation
% 16.92/3.89
% 16.92/3.89 % (5887)Memory used [KB]: 6652
% 16.92/3.89 % (5887)Time elapsed: 0.121 s
% 16.92/3.89 % (5887)Instructions burned: 436 (million)
% 16.92/3.89 % (5887)------------------------------
% 16.92/3.89 % (5887)------------------------------
% 17.24/3.90 % (5890)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_5137 for (2977ds/443Mi)
% 17.24/3.96 % (5886)Instruction limit reached!
% 17.24/3.96 % (5886)------------------------------
% 17.24/3.96 % (5886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.24/3.96 % (5886)Termination reason: Unknown
% 17.24/3.96 % (5886)Termination phase: Saturation
% 17.24/3.96
% 17.24/3.96 % (5886)Memory used [KB]: 10490
% 17.24/3.96 % (5886)Time elapsed: 0.274 s
% 17.24/3.96 % (5886)Instructions burned: 908 (million)
% 17.24/3.96 % (5886)------------------------------
% 17.24/3.96 % (5886)------------------------------
% 17.24/3.97 % (5891)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_5137 for (2976ds/594Mi)
% 17.24/4.01 % (5888)Instruction limit reached!
% 17.24/4.01 % (5888)------------------------------
% 17.24/4.01 % (5888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.24/4.01 % (5888)Termination reason: Unknown
% 17.24/4.01 % (5888)Termination phase: Saturation
% 17.24/4.01
% 17.24/4.01 % (5888)Memory used [KB]: 8955
% 17.24/4.02 % (5888)Time elapsed: 0.240 s
% 17.24/4.02 % (5888)Instructions burned: 868 (million)
% 17.24/4.02 % (5888)------------------------------
% 17.24/4.02 % (5888)------------------------------
% 19.30/4.02 % (5892)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/327Mi)
% 19.30/4.04 % (5890)Instruction limit reached!
% 19.30/4.04 % (5890)------------------------------
% 19.30/4.04 % (5890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.04 % (5890)Termination reason: Unknown
% 19.30/4.04 % (5890)Termination phase: Saturation
% 19.30/4.04
% 19.30/4.04 % (5890)Memory used [KB]: 6908
% 19.30/4.04 % (5890)Time elapsed: 0.135 s
% 19.30/4.04 % (5890)Instructions burned: 445 (million)
% 19.30/4.04 % (5890)------------------------------
% 19.30/4.04 % (5890)------------------------------
% 19.30/4.04 % (5889)Instruction limit reached!
% 19.30/4.04 % (5889)------------------------------
% 19.30/4.04 % (5889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.04 % (5889)Termination reason: Unknown
% 19.30/4.04 % (5889)Termination phase: Saturation
% 19.30/4.04
% 19.30/4.04 % (5889)Memory used [KB]: 8059
% 19.30/4.04 % (5889)Time elapsed: 0.169 s
% 19.30/4.04 % (5889)Instructions burned: 596 (million)
% 19.30/4.04 % (5889)------------------------------
% 19.30/4.04 % (5889)------------------------------
% 19.30/4.05 % (5893)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/5411Mi)
% 19.30/4.05 % (5894)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/1762Mi)
% 19.30/4.06 % (5893)Refutation not found, incomplete strategy
% 19.30/4.06 % (5893)------------------------------
% 19.30/4.06 % (5893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.06 % (5893)Termination reason: Refutation not found, incomplete strategy
% 19.30/4.06
% 19.30/4.06
% 19.30/4.06 % (5893)Memory used [KB]: 6012
% 19.30/4.06 % (5893)Time elapsed: 0.040 s
% 19.30/4.06 % (5893)Instructions burned: 53 (million)
% 19.30/4.06 % (5893)------------------------------
% 19.30/4.06 % (5893)------------------------------
% 19.30/4.07 % (5895)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/96Mi)
% 19.30/4.08 % (5858)Instruction limit reached!
% 19.30/4.08 % (5858)------------------------------
% 19.30/4.08 % (5858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.08 % (5858)Termination reason: Unknown
% 19.30/4.08 % (5858)Termination phase: Saturation
% 19.30/4.08
% 19.30/4.08 % (5858)Memory used [KB]: 19317
% 19.30/4.08 % (5858)Time elapsed: 1.544 s
% 19.30/4.08 % (5858)Instructions burned: 5206 (million)
% 19.30/4.08 % (5858)------------------------------
% 19.30/4.08 % (5858)------------------------------
% 19.30/4.08 % (5885)Instruction limit reached!
% 19.30/4.08 % (5885)------------------------------
% 19.30/4.08 % (5885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.08 % (5885)Termination reason: Unknown
% 19.30/4.08 % (5885)Termination phase: Saturation
% 19.30/4.08
% 19.30/4.08 % (5885)Memory used [KB]: 11641
% 19.30/4.08 % (5885)Time elapsed: 0.408 s
% 19.30/4.08 % (5885)Instructions burned: 1377 (million)
% 19.30/4.08 % (5885)------------------------------
% 19.30/4.08 % (5885)------------------------------
% 19.30/4.09 % (5896)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/503Mi)
% 19.30/4.09 % (5897)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5137 for (2975ds/90Mi)
% 19.30/4.10 % (5895)Instruction limit reached!
% 19.30/4.10 % (5895)------------------------------
% 19.30/4.10 % (5895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.10 % (5895)Termination reason: Unknown
% 19.30/4.10 % (5895)Termination phase: Saturation
% 19.30/4.10
% 19.30/4.10 % (5895)Memory used [KB]: 6012
% 19.30/4.10 % (5895)Time elapsed: 0.028 s
% 19.30/4.10 % (5895)Instructions burned: 96 (million)
% 19.30/4.10 % (5895)------------------------------
% 19.30/4.10 % (5895)------------------------------
% 19.30/4.11 % (5898)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/593Mi)
% 19.30/4.11 % (5896)Refutation not found, incomplete strategy
% 19.30/4.11 % (5896)------------------------------
% 19.30/4.11 % (5896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.11 % (5896)Termination reason: Refutation not found, incomplete strategy
% 19.30/4.11
% 19.30/4.11
% 19.30/4.11 % (5896)Memory used [KB]: 6140
% 19.30/4.11 % (5896)Time elapsed: 0.023 s
% 19.30/4.11 % (5896)Instructions burned: 74 (million)
% 19.30/4.11 % (5896)------------------------------
% 19.30/4.11 % (5896)------------------------------
% 19.30/4.12 % (5897)Instruction limit reached!
% 19.30/4.12 % (5897)------------------------------
% 19.30/4.12 % (5897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.12 % (5897)Termination reason: Unknown
% 19.30/4.12 % (5897)Termination phase: Saturation
% 19.30/4.12
% 19.30/4.12 % (5897)Memory used [KB]: 6268
% 19.30/4.12 % (5897)Time elapsed: 0.027 s
% 19.30/4.12 % (5897)Instructions burned: 90 (million)
% 19.30/4.12 % (5897)------------------------------
% 19.30/4.12 % (5897)------------------------------
% 19.30/4.12 % (5892)Instruction limit reached!
% 19.30/4.12 % (5892)------------------------------
% 19.30/4.12 % (5892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.30/4.12 % (5892)Termination reason: Unknown
% 19.30/4.12 % (5892)Termination phase: Saturation
% 19.30/4.12
% 19.30/4.12 % (5892)Memory used [KB]: 6396
% 19.30/4.12 % (5892)Time elapsed: 0.119 s
% 19.30/4.12 % (5892)Instructions burned: 328 (million)
% 19.30/4.12 % (5892)------------------------------
% 19.30/4.12 % (5892)------------------------------
% 19.30/4.12 % (5899)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/1512Mi)
% 19.95/4.13 % (5900)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/569Mi)
% 19.95/4.13 % (5901)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/501Mi)
% 19.95/4.13 % (5891)Instruction limit reached!
% 19.95/4.13 % (5891)------------------------------
% 19.95/4.13 % (5891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.95/4.13 % (5891)Termination reason: Unknown
% 19.95/4.13 % (5891)Termination phase: Saturation
% 19.95/4.13
% 19.95/4.13 % (5891)Memory used [KB]: 7164
% 19.95/4.13 % (5891)Time elapsed: 0.166 s
% 19.95/4.13 % (5891)Instructions burned: 594 (million)
% 19.95/4.13 % (5891)------------------------------
% 19.95/4.13 % (5891)------------------------------
% 19.95/4.14 % (5902)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/562Mi)
% 19.95/4.16 % (5899)Refutation not found, incomplete strategy
% 19.95/4.16 % (5899)------------------------------
% 19.95/4.16 % (5899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.95/4.16 % (5899)Termination reason: Refutation not found, incomplete strategy
% 19.95/4.16
% 19.95/4.16
% 19.95/4.16 % (5899)Memory used [KB]: 6396
% 19.95/4.16 % (5899)Time elapsed: 0.042 s
% 19.95/4.16 % (5899)Instructions burned: 142 (million)
% 19.95/4.16 % (5899)------------------------------
% 19.95/4.16 % (5899)------------------------------
% 19.95/4.17 % (5903)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_5137 for (2974ds/406Mi)
% 20.10/4.27 % (5901)Instruction limit reached!
% 20.10/4.27 % (5901)------------------------------
% 20.10/4.27 % (5901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.10/4.27 % (5901)Termination reason: Unknown
% 20.10/4.27 % (5901)Termination phase: Saturation
% 20.10/4.27
% 20.10/4.27 % (5901)Memory used [KB]: 7164
% 20.10/4.27 % (5901)Time elapsed: 0.142 s
% 20.10/4.27 % (5901)Instructions burned: 504 (million)
% 20.10/4.27 % (5901)------------------------------
% 20.10/4.27 % (5901)------------------------------
% 20.10/4.28 % (5904)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_5137 for (2973ds/582Mi)
% 20.10/4.28 % (5898)Instruction limit reached!
% 20.10/4.28 % (5898)------------------------------
% 20.10/4.28 % (5898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.10/4.28 % (5898)Termination reason: Unknown
% 20.10/4.28 % (5898)Termination phase: Saturation
% 20.10/4.28
% 20.10/4.28 % (5898)Memory used [KB]: 6780
% 20.10/4.28 % (5898)Time elapsed: 0.178 s
% 20.10/4.28 % (5898)Instructions burned: 595 (million)
% 20.10/4.28 % (5898)------------------------------
% 20.10/4.28 % (5898)------------------------------
% 20.10/4.29 % (5905)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_5137 for (2973ds/456Mi)
% 20.10/4.29 % (5903)Instruction limit reached!
% 20.10/4.29 % (5903)------------------------------
% 20.10/4.29 % (5903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.10/4.29 % (5903)Termination reason: Unknown
% 20.10/4.29 % (5903)Termination phase: Saturation
% 20.10/4.29
% 20.10/4.29 % (5903)Memory used [KB]: 6908
% 20.10/4.29 % (5903)Time elapsed: 0.122 s
% 20.10/4.29 % (5903)Instructions burned: 408 (million)
% 20.10/4.29 % (5903)------------------------------
% 20.10/4.29 % (5903)------------------------------
% 20.10/4.30 % (5900)Instruction limit reached!
% 20.10/4.30 % (5900)------------------------------
% 20.10/4.30 % (5900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.10/4.30 % (5900)Termination reason: Unknown
% 20.10/4.30 % (5900)Termination phase: Saturation
% 20.10/4.30
% 20.10/4.30 % (5900)Memory used [KB]: 7164
% 20.10/4.30 % (5900)Time elapsed: 0.169 s
% 20.10/4.30 % (5900)Instructions burned: 569 (million)
% 20.10/4.30 % (5900)------------------------------
% 20.10/4.30 % (5900)------------------------------
% 20.85/4.30 % (5902)Instruction limit reached!
% 20.85/4.30 % (5902)------------------------------
% 20.85/4.30 % (5902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.85/4.30 % (5902)Termination reason: Unknown
% 20.85/4.30 % (5902)Termination phase: Saturation
% 20.85/4.30
% 20.85/4.30 % (5902)Memory used [KB]: 7547
% 20.85/4.30 % (5902)Time elapsed: 0.157 s
% 20.85/4.30 % (5902)Instructions burned: 565 (million)
% 20.85/4.30 % (5902)------------------------------
% 20.85/4.30 % (5902)------------------------------
% 20.85/4.30 % (5906)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_5137 for (2973ds/393Mi)
% 20.85/4.31 % (5907)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_5137 for (2973ds/1335Mi)
% 20.85/4.31 % (5908)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_5137 for (2973ds/3373Mi)
% 21.11/4.41 % (5906)Refutation not found, non-redundant clauses discarded% (5906)------------------------------
% 21.11/4.41 % (5906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.41 % (5906)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.11/4.41
% 21.11/4.41 % (5906)Memory used [KB]: 7164
% 21.11/4.41 % (5906)Time elapsed: 0.107 s
% 21.11/4.41 % (5906)Instructions burned: 373 (million)
% 21.11/4.41 % (5906)------------------------------
% 21.11/4.41 % (5906)------------------------------
% 21.11/4.41 % (5905)Refutation not found, non-redundant clauses discarded% (5905)------------------------------
% 21.11/4.41 % (5905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.41 % (5905)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.11/4.41
% 21.11/4.41 % (5905)Memory used [KB]: 6908
% 21.11/4.41 % (5905)Time elapsed: 0.119 s
% 21.11/4.41 % (5905)Instructions burned: 402 (million)
% 21.11/4.41 % (5905)------------------------------
% 21.11/4.41 % (5905)------------------------------
% 21.11/4.42 % (5909)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_5137 for (2971ds/474Mi)
% 21.11/4.42 % (5910)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_5137 for (2971ds/157Mi)
% 21.11/4.45 % (5904)Instruction limit reached!
% 21.11/4.45 % (5904)------------------------------
% 21.11/4.45 % (5904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.45 % (5904)Termination reason: Unknown
% 21.11/4.45 % (5904)Termination phase: Saturation
% 21.11/4.45
% 21.11/4.45 % (5904)Memory used [KB]: 6396
% 21.11/4.45 % (5904)Time elapsed: 0.171 s
% 21.11/4.45 % (5904)Instructions burned: 582 (million)
% 21.11/4.45 % (5904)------------------------------
% 21.11/4.45 % (5904)------------------------------
% 21.11/4.46 % (5911)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_5137 for (2971ds/590Mi)
% 21.11/4.47 % (5910)Instruction limit reached!
% 21.11/4.47 % (5910)------------------------------
% 21.11/4.47 % (5910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.47 % (5910)Termination reason: Unknown
% 21.11/4.47 % (5910)Termination phase: Saturation
% 21.11/4.47
% 21.11/4.47 % (5910)Memory used [KB]: 6140
% 21.11/4.47 % (5910)Time elapsed: 0.045 s
% 21.11/4.47 % (5910)Instructions burned: 157 (million)
% 21.11/4.47 % (5910)------------------------------
% 21.11/4.47 % (5910)------------------------------
% 21.11/4.48 % (5912)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_5137 for (2971ds/104Mi)
% 21.70/4.50 % (5912)Instruction limit reached!
% 21.70/4.50 % (5912)------------------------------
% 21.70/4.50 % (5912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.70/4.50 % (5912)Termination reason: Unknown
% 21.70/4.50 % (5912)Termination phase: Saturation
% 21.70/4.50
% 21.70/4.50 % (5912)Memory used [KB]: 6396
% 21.70/4.50 % (5912)Time elapsed: 0.029 s
% 21.70/4.50 % (5912)Instructions burned: 104 (million)
% 21.70/4.50 % (5912)------------------------------
% 21.70/4.50 % (5912)------------------------------
% 21.70/4.51 % (5913)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_5137 for (2971ds/414Mi)
% 21.70/4.56 % (5909)Instruction limit reached!
% 21.70/4.56 % (5909)------------------------------
% 21.70/4.56 % (5909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.70/4.56 % (5909)Termination reason: Unknown
% 21.70/4.56 % (5909)Termination phase: Saturation
% 21.70/4.56
% 21.70/4.56 % (5909)Memory used [KB]: 6908
% 21.70/4.56 % (5909)Time elapsed: 0.140 s
% 21.70/4.56 % (5909)Instructions burned: 475 (million)
% 21.70/4.56 % (5909)------------------------------
% 21.70/4.56 % (5909)------------------------------
% 21.70/4.57 % (5914)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_5137 for (2970ds/715Mi)
% 21.70/4.58 % (5894)Instruction limit reached!
% 21.70/4.58 % (5894)------------------------------
% 21.70/4.58 % (5894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.70/4.58 % (5894)Termination reason: Unknown
% 21.70/4.58 % (5894)Termination phase: Saturation
% 21.70/4.58
% 21.70/4.58 % (5894)Memory used [KB]: 7036
% 21.70/4.58 % (5894)Time elapsed: 0.525 s
% 21.70/4.58 % (5894)Instructions burned: 1763 (million)
% 21.70/4.58 % (5894)------------------------------
% 21.70/4.58 % (5894)------------------------------
% 21.70/4.58 % (5915)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_5137 for (2970ds/961Mi)
% 22.52/4.62 % (5911)Instruction limit reached!
% 22.52/4.62 % (5911)------------------------------
% 22.52/4.62 % (5911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.52/4.62 % (5911)Termination reason: Unknown
% 22.52/4.62 % (5911)Termination phase: Saturation
% 22.52/4.62
% 22.52/4.62 % (5911)Memory used [KB]: 6780
% 22.52/4.62 % (5911)Time elapsed: 0.163 s
% 22.52/4.62 % (5911)Instructions burned: 590 (million)
% 22.52/4.62 % (5911)------------------------------
% 22.52/4.62 % (5911)------------------------------
% 22.52/4.63 % (5916)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_5137 for (2969ds/1213Mi)
% 22.52/4.63 % (5913)Instruction limit reached!
% 22.52/4.63 % (5913)------------------------------
% 22.52/4.63 % (5913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.52/4.63 % (5913)Termination reason: Unknown
% 22.52/4.63 % (5913)Termination phase: Saturation
% 22.52/4.63
% 22.52/4.63 % (5913)Memory used [KB]: 6396
% 22.52/4.63 % (5913)Time elapsed: 0.122 s
% 22.52/4.63 % (5913)Instructions burned: 415 (million)
% 22.52/4.63 % (5913)------------------------------
% 22.52/4.63 % (5913)------------------------------
% 22.52/4.64 % (5917)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_5137 for (2969ds/1979Mi)
% 22.52/4.67 % (5907)Instruction limit reached!
% 22.52/4.67 % (5907)------------------------------
% 22.52/4.67 % (5907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.52/4.67 % (5907)Termination reason: Unknown
% 22.52/4.67 % (5907)Termination phase: Saturation
% 22.52/4.67
% 22.52/4.67 % (5907)Memory used [KB]: 9083
% 22.52/4.67 % (5907)Time elapsed: 0.361 s
% 22.52/4.67 % (5907)Instructions burned: 1335 (million)
% 22.52/4.67 % (5907)------------------------------
% 22.52/4.67 % (5907)------------------------------
% 22.52/4.68 % (5918)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_5137 for (2969ds/481Mi)
% 23.29/4.77 % (5914)Instruction limit reached!
% 23.29/4.77 % (5914)------------------------------
% 23.29/4.77 % (5914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.29/4.77 % (5914)Termination reason: Unknown
% 23.29/4.77 % (5914)Termination phase: Saturation
% 23.29/4.77
% 23.29/4.77 % (5914)Memory used [KB]: 2942
% 23.29/4.77 % (5914)Time elapsed: 0.202 s
% 23.29/4.77 % (5914)Instructions burned: 717 (million)
% 23.29/4.77 % (5914)------------------------------
% 23.29/4.77 % (5914)------------------------------
% 23.29/4.78 % (5919)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_5137 for (2968ds/783Mi)
% 23.60/4.82 % (5918)Instruction limit reached!
% 23.60/4.82 % (5918)------------------------------
% 23.60/4.82 % (5918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.60/4.82 % (5918)Termination reason: Unknown
% 23.60/4.82 % (5918)Termination phase: Saturation
% 23.60/4.82
% 23.60/4.82 % (5918)Memory used [KB]: 6652
% 23.60/4.82 % (5918)Time elapsed: 0.149 s
% 23.60/4.82 % (5918)Instructions burned: 482 (million)
% 23.60/4.82 % (5918)------------------------------
% 23.60/4.82 % (5918)------------------------------
% 23.60/4.83 % (5920)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_5137 for (2967ds/432Mi)
% 23.60/4.86 % (5915)Instruction limit reached!
% 23.60/4.86 % (5915)------------------------------
% 23.60/4.86 % (5915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.60/4.86 % (5915)Termination reason: Unknown
% 23.60/4.86 % (5915)Termination phase: Saturation
% 23.60/4.86
% 23.60/4.86 % (5915)Memory used [KB]: 7291
% 23.60/4.86 % (5915)Time elapsed: 0.274 s
% 23.60/4.86 % (5915)Instructions burned: 964 (million)
% 23.60/4.86 % (5915)------------------------------
% 23.60/4.86 % (5915)------------------------------
% 23.60/4.87 % (5921)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_5137 for (2967ds/1670Mi)
% 24.15/4.95 % (5920)Instruction limit reached!
% 24.15/4.95 % (5920)------------------------------
% 24.15/4.95 % (5920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/4.95 % (5920)Termination reason: Unknown
% 24.15/4.95 % (5920)Termination phase: Saturation
% 24.15/4.95
% 24.15/4.95 % (5920)Memory used [KB]: 6652
% 24.15/4.95 % (5920)Time elapsed: 0.122 s
% 24.15/4.95 % (5920)Instructions burned: 434 (million)
% 24.15/4.95 % (5920)------------------------------
% 24.15/4.95 % (5920)------------------------------
% 24.15/4.96 % (5922)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_5137 for (2966ds/90Mi)
% 24.15/4.99 % (5922)Instruction limit reached!
% 24.15/4.99 % (5922)------------------------------
% 24.15/4.99 % (5922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/4.99 % (5922)Termination reason: Unknown
% 24.15/4.99 % (5922)Termination phase: Saturation
% 24.15/4.99
% 24.15/4.99 % (5922)Memory used [KB]: 6140
% 24.15/4.99 % (5922)Time elapsed: 0.027 s
% 24.15/4.99 % (5922)Instructions burned: 90 (million)
% 24.15/4.99 % (5922)------------------------------
% 24.15/4.99 % (5922)------------------------------
% 24.15/5.00 % (5923)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_5137 for (2966ds/346Mi)
% 24.15/5.00 % (5919)Instruction limit reached!
% 24.15/5.00 % (5919)------------------------------
% 24.15/5.00 % (5919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/5.00 % (5919)Termination reason: Unknown
% 24.15/5.00 % (5919)Termination phase: Saturation
% 24.15/5.00
% 24.15/5.00 % (5919)Memory used [KB]: 7931
% 24.15/5.00 % (5919)Time elapsed: 0.222 s
% 24.15/5.00 % (5919)Instructions burned: 783 (million)
% 24.15/5.00 % (5919)------------------------------
% 24.15/5.00 % (5919)------------------------------
% 24.15/5.01 % (5916)Instruction limit reached!
% 24.15/5.01 % (5916)------------------------------
% 24.15/5.01 % (5916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.15/5.01 % (5916)Termination reason: Unknown
% 24.15/5.01 % (5916)Termination phase: Saturation
% 24.15/5.01
% 24.15/5.01 % (5916)Memory used [KB]: 8571
% 24.15/5.01 % (5916)Time elapsed: 0.376 s
% 24.15/5.01 % (5916)Instructions burned: 1215 (million)
% 24.15/5.01 % (5916)------------------------------
% 24.15/5.01 % (5916)------------------------------
% 24.15/5.01 % (5924)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_5137 for (2965ds/401Mi)
% 24.15/5.02 % (5925)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_5137 for (2965ds/6454Mi)
% 26.32/5.10 % (5923)Instruction limit reached!
% 26.32/5.10 % (5923)------------------------------
% 26.32/5.10 % (5923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.32/5.10 % (5923)Termination reason: Unknown
% 26.32/5.10 % (5923)Termination phase: Saturation
% 26.32/5.10
% 26.32/5.10 % (5923)Memory used [KB]: 6908
% 26.32/5.10 % (5923)Time elapsed: 0.105 s
% 26.32/5.10 % (5923)Instructions burned: 349 (million)
% 26.32/5.10 % (5923)------------------------------
% 26.32/5.10 % (5923)------------------------------
% 26.32/5.11 % (5926)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_5137 for (2964ds/283Mi)
% 26.83/5.12 % (5924)Instruction limit reached!
% 26.83/5.12 % (5924)------------------------------
% 26.83/5.12 % (5924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.83/5.12 % (5924)Termination reason: Unknown
% 26.83/5.12 % (5924)Termination phase: Saturation
% 26.83/5.12
% 26.83/5.12 % (5924)Memory used [KB]: 7164
% 26.83/5.12 % (5924)Time elapsed: 0.116 s
% 26.83/5.12 % (5924)Instructions burned: 401 (million)
% 26.83/5.12 % (5924)------------------------------
% 26.83/5.12 % (5924)------------------------------
% 26.83/5.13 % (5927)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_5137 for (2964ds/865Mi)
% 26.83/5.20 % (5926)Instruction limit reached!
% 26.83/5.20 % (5926)------------------------------
% 26.83/5.20 % (5926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.83/5.20 % (5926)Termination reason: Unknown
% 26.83/5.20 % (5926)Termination phase: Saturation
% 26.83/5.20
% 26.83/5.20 % (5926)Memory used [KB]: 6652
% 26.83/5.20 % (5926)Time elapsed: 0.086 s
% 26.83/5.20 % (5926)Instructions burned: 283 (million)
% 26.83/5.20 % (5926)------------------------------
% 26.83/5.20 % (5926)------------------------------
% 27.25/5.21 % (5928)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_5137 for (2963ds/4528Mi)
% 27.25/5.24 % (5917)Instruction limit reached!
% 27.25/5.24 % (5917)------------------------------
% 27.25/5.24 % (5917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.25/5.24 % (5917)Termination reason: Unknown
% 27.25/5.24 % (5917)Termination phase: Saturation
% 27.25/5.24
% 27.25/5.24 % (5917)Memory used [KB]: 8315
% 27.25/5.24 % (5917)Time elapsed: 0.597 s
% 27.25/5.24 % (5917)Instructions burned: 1980 (million)
% 27.25/5.24 % (5917)------------------------------
% 27.25/5.24 % (5917)------------------------------
% 27.25/5.25 % (5929)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_5137 for (2963ds/1001Mi)
% 27.25/5.28 % (5908)Instruction limit reached!
% 27.25/5.28 % (5908)------------------------------
% 27.25/5.28 % (5908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.25/5.28 % (5908)Termination reason: Unknown
% 27.25/5.28 % (5908)Termination phase: Saturation
% 27.25/5.28
% 27.25/5.28 % (5908)Memory used [KB]: 12409
% 27.25/5.28 % (5908)Time elapsed: 0.972 s
% 27.25/5.28 % (5908)Instructions burned: 3373 (million)
% 27.25/5.28 % (5908)------------------------------
% 27.25/5.28 % (5908)------------------------------
% 27.25/5.29 % (5930)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_5137 for (2963ds/102Mi)
% 27.69/5.32 % (5930)Instruction limit reached!
% 27.69/5.32 % (5930)------------------------------
% 27.69/5.32 % (5930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.69/5.32 % (5930)Termination reason: Unknown
% 27.69/5.32 % (5930)Termination phase: Saturation
% 27.69/5.32
% 27.69/5.32 % (5930)Memory used [KB]: 6268
% 27.69/5.32 % (5930)Time elapsed: 0.028 s
% 27.69/5.32 % (5930)Instructions burned: 104 (million)
% 27.69/5.32 % (5930)------------------------------
% 27.69/5.32 % (5930)------------------------------
% 27.69/5.33 % (5931)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_5137 for (2962ds/952Mi)
% 27.69/5.36 % (5921)Instruction limit reached!
% 27.69/5.36 % (5921)------------------------------
% 27.69/5.36 % (5921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.69/5.36 % (5921)Termination reason: Unknown
% 27.69/5.36 % (5921)Termination phase: Saturation
% 27.69/5.36
% 27.69/5.36 % (5921)Memory used [KB]: 7803
% 27.69/5.36 % (5921)Time elapsed: 0.489 s
% 27.69/5.36 % (5921)Instructions burned: 1671 (million)
% 27.69/5.36 % (5921)------------------------------
% 27.69/5.36 % (5921)------------------------------
% 27.69/5.37 % (5932)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_5137 for (2962ds/578Mi)
% 27.69/5.39 % (5927)Instruction limit reached!
% 27.69/5.39 % (5927)------------------------------
% 27.69/5.39 % (5927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.69/5.39 % (5927)Termination reason: Unknown
% 27.69/5.39 % (5927)Termination phase: Saturation
% 27.69/5.39
% 27.69/5.39 % (5927)Memory used [KB]: 7419
% 27.69/5.39 % (5927)Time elapsed: 0.262 s
% 27.69/5.39 % (5927)Instructions burned: 867 (million)
% 27.69/5.39 % (5927)------------------------------
% 27.69/5.39 % (5927)------------------------------
% 28.17/5.40 % (5933)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_5137 for (2962ds/643Mi)
% 28.27/5.53 % (5881)Instruction limit reached!
% 28.27/5.53 % (5881)------------------------------
% 28.27/5.53 % (5881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.27/5.53 % (5881)Termination reason: Unknown
% 28.27/5.53 % (5881)Termination phase: Saturation
% 28.27/5.53
% 28.27/5.53 % (5881)Memory used [KB]: 18166
% 28.27/5.53 % (5881)Time elapsed: 2.275 s
% 28.27/5.53 % (5881)Instructions burned: 8250 (million)
% 28.27/5.53 % (5881)------------------------------
% 28.27/5.53 % (5881)------------------------------
% 28.27/5.54 % (5929)Instruction limit reached!
% 28.27/5.54 % (5929)------------------------------
% 28.27/5.54 % (5929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.27/5.54 % (5929)Termination reason: Unknown
% 28.27/5.54 % (5929)Termination phase: Saturation
% 28.27/5.54
% 28.27/5.54 % (5929)Memory used [KB]: 9466
% 28.27/5.54 % (5929)Time elapsed: 0.288 s
% 28.27/5.54 % (5929)Instructions burned: 1002 (million)
% 28.27/5.54 % (5929)------------------------------
% 28.27/5.54 % (5929)------------------------------
% 28.27/5.54 % (5932)Instruction limit reached!
% 28.27/5.54 % (5932)------------------------------
% 28.27/5.54 % (5932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.27/5.54 % (5932)Termination reason: Unknown
% 28.27/5.54 % (5932)Termination phase: Saturation
% 28.27/5.54
% 28.27/5.54 % (5932)Memory used [KB]: 6396
% 28.27/5.54 % (5932)Time elapsed: 0.172 s
% 28.27/5.54 % (5932)Instructions burned: 581 (million)
% 28.27/5.54 % (5932)------------------------------
% 28.27/5.54 % (5932)------------------------------
% 28.27/5.55 % (5934)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_5137 for (2960ds/865Mi)
% 28.27/5.55 % (5935)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_5137 for (2960ds/1174Mi)
% 28.27/5.55 % (5936)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_5137 for (2960ds/644Mi)
% 28.27/5.59 % (5931)Instruction limit reached!
% 28.27/5.59 % (5931)------------------------------
% 28.27/5.59 % (5931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.27/5.59 % (5931)Termination reason: Unknown
% 28.27/5.59 % (5931)Termination phase: Saturation
% 28.27/5.59
% 28.27/5.59 % (5931)Memory used [KB]: 8827
% 28.27/5.59 % (5931)Time elapsed: 0.267 s
% 28.27/5.59 % (5931)Instructions burned: 953 (million)
% 28.27/5.59 % (5931)------------------------------
% 28.27/5.59 % (5931)------------------------------
% 29.07/5.60 % (5933)Instruction limit reached!
% 29.07/5.60 % (5933)------------------------------
% 29.07/5.60 % (5933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.07/5.60 % (5933)Termination reason: Unknown
% 29.07/5.60 % (5933)Termination phase: Saturation
% 29.07/5.60
% 29.07/5.60 % (5933)Memory used [KB]: 7164
% 29.07/5.60 % (5933)Time elapsed: 0.197 s
% 29.07/5.60 % (5933)Instructions burned: 646 (million)
% 29.07/5.60 % (5933)------------------------------
% 29.07/5.60 % (5933)------------------------------
% 29.07/5.60 % (5937)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_5137 for (2960ds/1201Mi)
% 29.07/5.61 % (5938)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_5137 for (2959ds/1046Mi)
% 29.27/5.72 % (5936)Instruction limit reached!
% 29.27/5.72 % (5936)------------------------------
% 29.27/5.72 % (5936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.27/5.72 % (5936)Termination reason: Unknown
% 29.27/5.72 % (5936)Termination phase: Saturation
% 29.27/5.72
% 29.27/5.72 % (5936)Memory used [KB]: 7931
% 29.27/5.72 % (5936)Time elapsed: 0.180 s
% 29.27/5.72 % (5936)Instructions burned: 644 (million)
% 29.27/5.72 % (5936)------------------------------
% 29.27/5.72 % (5936)------------------------------
% 29.27/5.73 % (5939)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_5137 for (2958ds/222Mi)
% 29.27/5.79 % (5939)Instruction limit reached!
% 29.27/5.79 % (5939)------------------------------
% 29.27/5.79 % (5939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.27/5.79 % (5939)Termination reason: Unknown
% 29.27/5.79 % (5939)Termination phase: Saturation
% 29.27/5.79
% 29.27/5.79 % (5939)Memory used [KB]: 6908
% 29.27/5.79 % (5939)Time elapsed: 0.061 s
% 29.27/5.79 % (5939)Instructions burned: 222 (million)
% 29.27/5.79 % (5939)------------------------------
% 29.27/5.79 % (5939)------------------------------
% 29.27/5.79 % (5934)Instruction limit reached!
% 29.27/5.79 % (5934)------------------------------
% 29.27/5.79 % (5934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.27/5.79 % (5934)Termination reason: Unknown
% 29.27/5.79 % (5934)Termination phase: Saturation
% 29.27/5.79
% 29.27/5.79 % (5934)Memory used [KB]: 7164
% 29.27/5.79 % (5934)Time elapsed: 0.251 s
% 29.27/5.79 % (5934)Instructions burned: 866 (million)
% 29.27/5.79 % (5934)------------------------------
% 29.27/5.79 % (5934)------------------------------
% 29.80/5.80 % (5940)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5137 for (2958ds/68Mi)
% 29.80/5.80 % (5941)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_5137 for (2958ds/454Mi)
% 29.80/5.82 % (5940)Instruction limit reached!
% 29.80/5.82 % (5940)------------------------------
% 29.80/5.82 % (5940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.80/5.82 % (5940)Termination reason: Unknown
% 29.80/5.82 % (5940)Termination phase: Saturation
% 29.80/5.82
% 29.80/5.82 % (5940)Memory used [KB]: 6140
% 29.80/5.82 % (5940)Time elapsed: 0.020 s
% 29.80/5.82 % (5940)Instructions burned: 70 (million)
% 29.80/5.82 % (5940)------------------------------
% 29.80/5.82 % (5940)------------------------------
% 29.80/5.83 % (5942)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_5137 for (2957ds/360Mi)
% 29.80/5.88 % (5935)Refutation not found, non-redundant clauses discarded% (5935)------------------------------
% 29.80/5.88 % (5935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.80/5.88 % (5935)Termination reason: Refutation not found, non-redundant clauses discarded
% 29.80/5.88
% 29.80/5.88 % (5935)Memory used [KB]: 7803
% 29.80/5.88 % (5935)Time elapsed: 0.331 s
% 29.80/5.88 % (5935)Instructions burned: 1141 (million)
% 29.80/5.88 % (5935)------------------------------
% 29.80/5.88 % (5935)------------------------------
% 29.80/5.89 % (5943)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_5137 for (2957ds/157Mi)
% 30.17/5.92 % (5938)Instruction limit reached!
% 30.17/5.92 % (5938)------------------------------
% 30.17/5.92 % (5938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.92 % (5938)Termination reason: Unknown
% 30.17/5.92 % (5938)Termination phase: Saturation
% 30.17/5.92
% 30.17/5.92 % (5938)Memory used [KB]: 7675
% 30.17/5.92 % (5938)Time elapsed: 0.315 s
% 30.17/5.92 % (5938)Instructions burned: 1049 (million)
% 30.17/5.92 % (5938)------------------------------
% 30.17/5.92 % (5938)------------------------------
% 30.17/5.93 % (5943)Instruction limit reached!
% 30.17/5.93 % (5943)------------------------------
% 30.17/5.93 % (5943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.93 % (5943)Termination reason: Unknown
% 30.17/5.93 % (5943)Termination phase: Saturation
% 30.17/5.93
% 30.17/5.93 % (5943)Memory used [KB]: 6396
% 30.17/5.93 % (5943)Time elapsed: 0.046 s
% 30.17/5.93 % (5943)Instructions burned: 158 (million)
% 30.17/5.93 % (5943)------------------------------
% 30.17/5.93 % (5943)------------------------------
% 30.17/5.93 % (5942)Instruction limit reached!
% 30.17/5.93 % (5942)------------------------------
% 30.17/5.93 % (5942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.93 % (5942)Termination reason: Unknown
% 30.17/5.93 % (5942)Termination phase: Saturation
% 30.17/5.93
% 30.17/5.93 % (5942)Memory used [KB]: 7164
% 30.17/5.93 % (5942)Time elapsed: 0.101 s
% 30.17/5.93 % (5942)Instructions burned: 360 (million)
% 30.17/5.93 % (5942)------------------------------
% 30.17/5.93 % (5942)------------------------------
% 30.17/5.93 % (5944)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_5137 for (2956ds/5061Mi)
% 30.17/5.94 % (5941)Instruction limit reached!
% 30.17/5.94 % (5941)------------------------------
% 30.17/5.94 % (5941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.94 % (5941)Termination reason: Unknown
% 30.17/5.94 % (5941)Termination phase: Saturation
% 30.17/5.94
% 30.17/5.94 % (5941)Memory used [KB]: 12792
% 30.17/5.94 % (5941)Time elapsed: 0.134 s
% 30.17/5.94 % (5941)Instructions burned: 456 (million)
% 30.17/5.94 % (5941)------------------------------
% 30.17/5.94 % (5941)------------------------------
% 30.17/5.94 % (5945)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_5137 for (2956ds/2401Mi)
% 30.17/5.94 % (5946)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_5137 for (2956ds/5798Mi)
% 30.17/5.95 % (5947)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_5137 for (2956ds/346Mi)
% 30.17/5.96 % (5937)Instruction limit reached!
% 30.17/5.96 % (5937)------------------------------
% 30.17/5.96 % (5937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.17/5.96 % (5937)Termination reason: Unknown
% 30.17/5.96 % (5937)Termination phase: Saturation
% 30.17/5.96
% 30.17/5.96 % (5937)Memory used [KB]: 7931
% 30.17/5.96 % (5937)Time elapsed: 0.364 s
% 30.17/5.96 % (5937)Instructions burned: 1203 (million)
% 30.17/5.96 % (5937)------------------------------
% 30.17/5.96 % (5937)------------------------------
% 30.17/5.97 % (5948)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_5137 for (2956ds/1321Mi)
% 33.35/6.05 % (5947)Instruction limit reached!
% 33.35/6.05 % (5947)------------------------------
% 33.35/6.05 % (5947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.35/6.05 % (5947)Termination reason: Unknown
% 33.35/6.05 % (5947)Termination phase: Saturation
% 33.35/6.05
% 33.35/6.05 % (5947)Memory used [KB]: 6908
% 33.35/6.05 % (5947)Time elapsed: 0.102 s
% 33.35/6.05 % (5947)Instructions burned: 349 (million)
% 33.35/6.05 % (5947)------------------------------
% 33.35/6.05 % (5947)------------------------------
% 33.35/6.06 % (5949)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_5137 for (2955ds/1312Mi)
% 35.07/6.35 % (5948)Instruction limit reached!
% 35.07/6.35 % (5948)------------------------------
% 35.07/6.35 % (5948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.07/6.35 % (5948)Termination reason: Unknown
% 35.07/6.35 % (5948)Termination phase: Saturation
% 35.07/6.35
% 35.07/6.35 % (5948)Memory used [KB]: 3070
% 35.07/6.35 % (5948)Time elapsed: 0.374 s
% 35.07/6.35 % (5948)Instructions burned: 1321 (million)
% 35.07/6.35 % (5948)------------------------------
% 35.07/6.35 % (5948)------------------------------
% 35.07/6.36 % (5950)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_5137 for (2952ds/672Mi)
% 35.64/6.44 % (5949)Instruction limit reached!
% 35.64/6.44 % (5949)------------------------------
% 35.64/6.44 % (5949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.64/6.44 % (5949)Termination reason: Unknown
% 35.64/6.44 % (5949)Termination phase: Saturation
% 35.64/6.44
% 35.64/6.44 % (5949)Memory used [KB]: 6652
% 35.64/6.44 % (5949)Time elapsed: 0.387 s
% 35.64/6.44 % (5949)Instructions burned: 1314 (million)
% 35.64/6.44 % (5949)------------------------------
% 35.64/6.44 % (5949)------------------------------
% 35.64/6.45 % (5951)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_5137 for (2951ds/1897Mi)
% 36.52/6.50 % (5928)Instruction limit reached!
% 36.52/6.50 % (5928)------------------------------
% 36.52/6.50 % (5928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.52/6.50 % (5928)Termination reason: Unknown
% 36.52/6.50 % (5928)Termination phase: Saturation
% 36.52/6.50
% 36.52/6.50 % (5928)Memory used [KB]: 3070
% 36.52/6.50 % (5928)Time elapsed: 1.294 s
% 36.52/6.50 % (5928)Instructions burned: 4528 (million)
% 36.52/6.50 % (5928)------------------------------
% 36.52/6.50 % (5928)------------------------------
% 36.52/6.51 % (5952)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_5137 for (2951ds/1202Mi)
% 36.52/6.55 % (5950)Instruction limit reached!
% 36.52/6.55 % (5950)------------------------------
% 36.52/6.55 % (5950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.52/6.55 % (5950)Termination reason: Unknown
% 36.52/6.55 % (5950)Termination phase: Saturation
% 36.52/6.55
% 36.52/6.55 % (5950)Memory used [KB]: 7291
% 36.52/6.55 % (5950)Time elapsed: 0.194 s
% 36.52/6.55 % (5950)Instructions burned: 673 (million)
% 36.52/6.55 % (5950)------------------------------
% 36.52/6.55 % (5950)------------------------------
% 36.52/6.56 % (5953)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_5137 for (2950ds/1493Mi)
% 36.52/6.58 % (5953)Refutation not found, incomplete strategy
% 36.52/6.58 % (5953)------------------------------
% 36.52/6.58 % (5953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.52/6.58 % (5953)Termination reason: Refutation not found, incomplete strategy
% 36.52/6.58
% 36.52/6.58
% 36.52/6.58 % (5953)Memory used [KB]: 6140
% 36.52/6.58 % (5953)Time elapsed: 0.024 s
% 36.52/6.58 % (5953)Instructions burned: 87 (million)
% 36.52/6.58 % (5953)------------------------------
% 36.52/6.58 % (5953)------------------------------
% 36.52/6.59 % (5954)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_5137 for (2950ds/7679Mi)
% 37.18/6.65 % (5945)Instruction limit reached!
% 37.18/6.65 % (5945)------------------------------
% 37.18/6.65 % (5945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.18/6.65 % (5945)Termination reason: Unknown
% 37.18/6.65 % (5945)Termination phase: Saturation
% 37.18/6.65
% 37.18/6.65 % (5945)Memory used [KB]: 8699
% 37.18/6.65 % (5945)Time elapsed: 0.714 s
% 37.18/6.65 % (5945)Instructions burned: 2401 (million)
% 37.18/6.65 % (5945)------------------------------
% 37.18/6.65 % (5945)------------------------------
% 37.18/6.66 % (5955)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_5137 for (2949ds/340Mi)
% 37.54/6.76 % (5955)Instruction limit reached!
% 37.54/6.76 % (5955)------------------------------
% 37.54/6.76 % (5955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.54/6.76 % (5955)Termination reason: Unknown
% 37.54/6.76 % (5955)Termination phase: Saturation
% 37.54/6.76
% 37.54/6.76 % (5955)Memory used [KB]: 6908
% 37.54/6.76 % (5955)Time elapsed: 0.102 s
% 37.54/6.76 % (5955)Instructions burned: 342 (million)
% 37.54/6.76 % (5955)------------------------------
% 37.54/6.76 % (5955)------------------------------
% 37.54/6.77 % (5956)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_5137 for (2948ds/3672Mi)
% 37.95/6.86 % (5925)Instruction limit reached!
% 37.95/6.86 % (5925)------------------------------
% 37.95/6.86 % (5925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.95/6.86 % (5925)Termination reason: Unknown
% 37.95/6.86 % (5925)Termination phase: Saturation
% 37.95/6.86
% 37.95/6.86 % (5925)Memory used [KB]: 14328
% 37.95/6.86 % (5925)Time elapsed: 1.842 s
% 37.95/6.86 % (5925)Instructions burned: 6454 (million)
% 37.95/6.86 % (5925)------------------------------
% 37.95/6.86 % (5925)------------------------------
% 37.95/6.87 % (5957)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_5137 for (2947ds/1535Mi)
% 37.95/6.88 % (5952)Instruction limit reached!
% 37.95/6.88 % (5952)------------------------------
% 37.95/6.88 % (5952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.95/6.88 % (5952)Termination reason: Unknown
% 37.95/6.88 % (5952)Termination phase: Saturation
% 37.95/6.88
% 37.95/6.88 % (5952)Memory used [KB]: 3070
% 37.95/6.88 % (5952)Time elapsed: 0.373 s
% 37.95/6.88 % (5952)Instructions burned: 1204 (million)
% 37.95/6.88 % (5952)------------------------------
% 37.95/6.88 % (5952)------------------------------
% 37.95/6.89 % (5958)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_5137 for (2947ds/4637Mi)
% 38.60/6.99 % (5951)Instruction limit reached!
% 38.60/6.99 % (5951)------------------------------
% 38.60/6.99 % (5951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.60/6.99 % (5951)Termination reason: Unknown
% 38.60/6.99 % (5951)Termination phase: Saturation
% 38.60/6.99
% 38.60/6.99 % (5951)Memory used [KB]: 8955
% 38.60/6.99 % (5951)Time elapsed: 0.540 s
% 38.60/6.99 % (5951)Instructions burned: 1899 (million)
% 38.60/6.99 % (5951)------------------------------
% 38.60/6.99 % (5951)------------------------------
% 38.60/7.00 % (5959)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_5137 for (2946ds/3174Mi)
% 41.62/7.29 % (5957)Instruction limit reached!
% 41.62/7.29 % (5957)------------------------------
% 41.62/7.29 % (5957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.62/7.29 % (5957)Termination reason: Unknown
% 41.62/7.29 % (5957)Termination phase: Saturation
% 41.62/7.29
% 41.62/7.29 % (5957)Memory used [KB]: 11385
% 41.62/7.29 % (5957)Time elapsed: 0.419 s
% 41.62/7.29 % (5957)Instructions burned: 1535 (million)
% 41.62/7.29 % (5957)------------------------------
% 41.62/7.29 % (5957)------------------------------
% 41.62/7.30 % (5960)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_5137 for (2943ds/307Mi)
% 42.31/7.38 % (5960)Instruction limit reached!
% 42.31/7.38 % (5960)------------------------------
% 42.31/7.38 % (5960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.31/7.38 % (5960)Termination reason: Unknown
% 42.31/7.38 % (5960)Termination phase: Saturation
% 42.31/7.38
% 42.31/7.38 % (5960)Memory used [KB]: 6268
% 42.31/7.38 % (5960)Time elapsed: 0.089 s
% 42.31/7.38 % (5960)Instructions burned: 308 (million)
% 42.31/7.38 % (5960)------------------------------
% 42.31/7.38 % (5960)------------------------------
% 42.31/7.39 % (5961)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_5137 for (2942ds/3619Mi)
% 43.02/7.45 % (5944)Instruction limit reached!
% 43.02/7.45 % (5944)------------------------------
% 43.02/7.45 % (5944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.02/7.45 % (5944)Termination reason: Unknown
% 43.02/7.45 % (5944)Termination phase: Saturation
% 43.02/7.45
% 43.02/7.45 % (5944)Memory used [KB]: 11513
% 43.02/7.45 % (5944)Time elapsed: 1.516 s
% 43.02/7.45 % (5944)Instructions burned: 5064 (million)
% 43.02/7.45 % (5944)------------------------------
% 43.02/7.45 % (5944)------------------------------
% 43.02/7.46 % (5962)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_5137 for (2941ds/2325Mi)
% 43.59/7.59 % (5946)Instruction limit reached!
% 43.59/7.59 % (5946)------------------------------
% 43.59/7.59 % (5946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.59/7.59 % (5946)Termination reason: Unknown
% 43.59/7.59 % (5946)Termination phase: Saturation
% 43.59/7.59
% 43.59/7.59 % (5946)Memory used [KB]: 7164
% 43.59/7.59 % (5946)Time elapsed: 1.649 s
% 43.59/7.59 % (5946)Instructions burned: 5801 (million)
% 43.59/7.59 % (5946)------------------------------
% 43.59/7.59 % (5946)------------------------------
% 44.09/7.60 % (5963)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_5137 for (2940ds/2341Mi)
% 44.49/7.79 % (5956)Instruction limit reached!
% 44.49/7.79 % (5956)------------------------------
% 44.49/7.79 % (5956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.49/7.79 % (5956)Termination reason: Unknown
% 44.49/7.79 % (5956)Termination phase: Saturation
% 44.49/7.79
% 44.49/7.79 % (5956)Memory used [KB]: 11385
% 44.49/7.79 % (5956)Time elapsed: 1.012 s
% 44.49/7.79 % (5956)Instructions burned: 3675 (million)
% 44.49/7.79 % (5956)------------------------------
% 44.49/7.79 % (5956)------------------------------
% 44.49/7.80 % (5964)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_5137 for (2938ds/7257Mi)
% 45.20/7.91 % (5959)Refutation not found, non-redundant clauses discarded% (5959)------------------------------
% 45.20/7.91 % (5959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.20/7.91 % (5959)Termination reason: Refutation not found, non-redundant clauses discarded
% 45.20/7.91
% 45.20/7.91 % (5959)Memory used [KB]: 11769
% 45.20/7.91 % (5959)Time elapsed: 0.911 s
% 45.20/7.91 % (5959)Instructions burned: 3083 (million)
% 45.20/7.91 % (5959)------------------------------
% 45.20/7.91 % (5959)------------------------------
% 45.20/7.92 % (5965)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_5137 for (2936ds/3710Mi)
% 48.12/8.14 % (5962)Instruction limit reached!
% 48.12/8.14 % (5962)------------------------------
% 48.12/8.14 % (5962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.12/8.14 % (5962)Termination reason: Unknown
% 48.12/8.14 % (5962)Termination phase: Saturation
% 48.12/8.14
% 48.12/8.14 % (5962)Memory used [KB]: 11897
% 48.12/8.14 % (5962)Time elapsed: 0.681 s
% 48.12/8.14 % (5962)Instructions burned: 2327 (million)
% 48.12/8.14 % (5962)------------------------------
% 48.12/8.14 % (5962)------------------------------
% 48.12/8.15 % (5966)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_5137 for (2934ds/326Mi)
% 48.62/8.22 % (5958)Instruction limit reached!
% 48.62/8.22 % (5958)------------------------------
% 48.62/8.22 % (5958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.62/8.22 % (5958)Termination reason: Unknown
% 48.62/8.22 % (5958)Termination phase: Saturation
% 48.62/8.22
% 48.62/8.22 % (5958)Memory used [KB]: 12025
% 48.62/8.22 % (5958)Time elapsed: 1.329 s
% 48.62/8.22 % (5958)Instructions burned: 4638 (million)
% 48.62/8.22 % (5958)------------------------------
% 48.62/8.22 % (5958)------------------------------
% 48.62/8.23 % (5967)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_5137 for (2933ds/1100Mi)
% 48.62/8.24 % (5966)Instruction limit reached!
% 48.62/8.24 % (5966)------------------------------
% 48.62/8.24 % (5966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.62/8.24 % (5966)Termination reason: Unknown
% 48.62/8.24 % (5966)Termination phase: Saturation
% 48.62/8.24
% 48.62/8.24 % (5966)Memory used [KB]: 6524
% 48.62/8.24 % (5966)Time elapsed: 0.094 s
% 48.62/8.24 % (5966)Instructions burned: 328 (million)
% 48.62/8.24 % (5966)------------------------------
% 48.62/8.24 % (5966)------------------------------
% 48.62/8.25 % (5968)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_5137 for (2933ds/406Mi)
% 48.62/8.25 % (5963)Instruction limit reached!
% 48.62/8.25 % (5963)------------------------------
% 48.62/8.25 % (5963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.62/8.25 % (5963)Termination reason: Unknown
% 48.62/8.25 % (5963)Termination phase: Saturation
% 48.62/8.25
% 48.62/8.25 % (5963)Memory used [KB]: 8955
% 48.62/8.25 % (5963)Time elapsed: 0.655 s
% 48.62/8.25 % (5963)Instructions burned: 2341 (million)
% 48.62/8.25 % (5963)------------------------------
% 48.62/8.25 % (5963)------------------------------
% 48.62/8.26 % (5969)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_5137 for (2933ds/1871Mi)
% 49.21/8.37 % (5968)Instruction limit reached!
% 49.21/8.37 % (5968)------------------------------
% 49.21/8.37 % (5968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.21/8.37 % (5968)Termination reason: Unknown
% 49.21/8.37 % (5968)Termination phase: Saturation
% 49.21/8.37
% 49.21/8.37 % (5968)Memory used [KB]: 6908
% 49.21/8.37 % (5968)Time elapsed: 0.123 s
% 49.21/8.37 % (5968)Instructions burned: 408 (million)
% 49.21/8.37 % (5968)------------------------------
% 49.21/8.37 % (5968)------------------------------
% 49.21/8.38 % (5970)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_5137 for (2932ds/1194Mi)
% 49.74/8.45 % (5961)Instruction limit reached!
% 49.74/8.45 % (5961)------------------------------
% 49.74/8.45 % (5961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.74/8.45 % (5961)Termination reason: Unknown
% 49.74/8.45 % (5961)Termination phase: Saturation
% 49.74/8.45
% 49.74/8.45 % (5961)Memory used [KB]: 9338
% 49.74/8.45 % (5961)Time elapsed: 1.056 s
% 49.74/8.45 % (5961)Instructions burned: 3620 (million)
% 49.74/8.45 % (5961)------------------------------
% 49.74/8.45 % (5961)------------------------------
% 49.74/8.46 % (5971)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_5137 for (2931ds/474Mi)
% 50.10/8.56 % (5967)Instruction limit reached!
% 50.10/8.56 % (5967)------------------------------
% 50.10/8.56 % (5967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.10/8.56 % (5967)Termination reason: Unknown
% 50.10/8.56 % (5967)Termination phase: Saturation
% 50.10/8.56
% 50.10/8.56 % (5967)Memory used [KB]: 9338
% 50.10/8.56 % (5967)Time elapsed: 0.335 s
% 50.10/8.56 % (5967)Instructions burned: 1101 (million)
% 50.10/8.56 % (5967)------------------------------
% 50.10/8.56 % (5967)------------------------------
% 50.10/8.57 % (5972)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_5137 for (2930ds/3115Mi)
% 50.10/8.60 % (5971)Instruction limit reached!
% 50.10/8.60 % (5971)------------------------------
% 50.10/8.60 % (5971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.10/8.60 % (5971)Termination reason: Unknown
% 50.10/8.60 % (5971)Termination phase: Saturation
% 50.10/8.60
% 50.10/8.60 % (5971)Memory used [KB]: 6908
% 50.10/8.60 % (5971)Time elapsed: 0.139 s
% 50.10/8.60 % (5971)Instructions burned: 475 (million)
% 50.10/8.60 % (5971)------------------------------
% 50.10/8.60 % (5971)------------------------------
% 50.88/8.61 % (5973)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_5137 for (2929ds/831Mi)
% 51.19/8.72 % (5970)Instruction limit reached!
% 51.19/8.72 % (5970)------------------------------
% 51.19/8.72 % (5970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.19/8.72 % (5970)Termination reason: Unknown
% 51.19/8.72 % (5970)Termination phase: Saturation
% 51.19/8.72
% 51.19/8.72 % (5970)Memory used [KB]: 8571
% 51.19/8.72 % (5970)Time elapsed: 0.339 s
% 51.19/8.72 % (5970)Instructions burned: 1195 (million)
% 51.19/8.72 % (5970)------------------------------
% 51.19/8.72 % (5970)------------------------------
% 51.19/8.73 % (5974)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_5137 for (2928ds/1188Mi)
% 51.19/8.74 % (5954)Instruction limit reached!
% 51.19/8.74 % (5954)------------------------------
% 51.19/8.74 % (5954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.19/8.74 % (5954)Termination reason: Unknown
% 51.19/8.74 % (5954)Termination phase: Saturation
% 51.19/8.74
% 51.19/8.74 % (5954)Memory used [KB]: 11513
% 51.19/8.74 % (5954)Time elapsed: 2.149 s
% 51.19/8.74 % (5954)Instructions burned: 7681 (million)
% 51.19/8.74 % (5954)------------------------------
% 51.19/8.74 % (5954)------------------------------
% 51.19/8.75 % (5975)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_5137 for (2928ds/2868Mi)
% 51.19/8.78 % (5975)Refutation not found, incomplete strategy
% 51.19/8.78 % (5975)------------------------------
% 51.19/8.78 % (5975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.19/8.78 % (5975)Termination reason: Refutation not found, incomplete strategy
% 51.19/8.78
% 51.19/8.78
% 51.19/8.78 % (5975)Memory used [KB]: 6140
% 51.19/8.78 % (5975)Time elapsed: 0.034 s
% 51.19/8.78 % (5975)Instructions burned: 124 (million)
% 51.19/8.78 % (5975)------------------------------
% 51.19/8.78 % (5975)------------------------------
% 51.19/8.79 % (5976)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_5137 for (2928ds/1516Mi)
% 51.83/8.82 % (5969)Instruction limit reached!
% 51.83/8.82 % (5969)------------------------------
% 51.83/8.82 % (5969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.83/8.82 % (5969)Termination reason: Unknown
% 51.83/8.82 % (5969)Termination phase: Saturation
% 51.83/8.82
% 51.83/8.82 % (5969)Memory used [KB]: 9850
% 51.83/8.82 % (5969)Time elapsed: 0.557 s
% 51.83/8.82 % (5969)Instructions burned: 1873 (million)
% 51.83/8.82 % (5969)------------------------------
% 51.83/8.82 % (5969)------------------------------
% 51.83/8.83 % (5977)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_5137 for (2927ds/2321Mi)
% 51.83/8.85 % (5977)Refutation not found, incomplete strategy
% 51.83/8.85 % (5977)------------------------------
% 51.83/8.85 % (5977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.83/8.85 % (5977)Termination reason: Refutation not found, incomplete strategy
% 51.83/8.85
% 51.83/8.85
% 51.83/8.85 % (5977)Memory used [KB]: 6140
% 51.83/8.85 % (5977)Time elapsed: 0.022 s
% 51.83/8.85 % (5977)Instructions burned: 85 (million)
% 51.83/8.85 % (5977)------------------------------
% 51.83/8.85 % (5977)------------------------------
% 51.83/8.86 % (5973)Instruction limit reached!
% 51.83/8.86 % (5973)------------------------------
% 51.83/8.86 % (5973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.83/8.86 % (5973)Termination reason: Unknown
% 51.83/8.86 % (5973)Termination phase: Saturation
% 51.83/8.86
% 51.83/8.86 % (5973)Memory used [KB]: 7547
% 51.83/8.86 % (5973)Time elapsed: 0.254 s
% 51.83/8.86 % (5973)Instructions burned: 834 (million)
% 51.83/8.86 % (5973)------------------------------
% 51.83/8.86 % (5973)------------------------------
% 51.83/8.86 % (5978)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_5137 for (2927ds/2812Mi)
% 51.83/8.87 % (5979)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_5137 for (2927ds/4604Mi)
% 54.42/9.03 % (5965)Instruction limit reached!
% 54.42/9.03 % (5965)------------------------------
% 54.42/9.03 % (5965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.42/9.03 % (5965)Termination reason: Unknown
% 54.42/9.03 % (5965)Termination phase: Saturation
% 54.42/9.03
% 54.42/9.03 % (5965)Memory used [KB]: 14456
% 54.42/9.03 % (5965)Time elapsed: 1.110 s
% 54.42/9.03 % (5965)Instructions burned: 3712 (million)
% 54.42/9.03 % (5965)------------------------------
% 54.42/9.03 % (5965)------------------------------
% 54.42/9.04 % (5980)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_5137 for (2925ds/2678Mi)
% 54.42/9.07 % (5974)Instruction limit reached!
% 54.42/9.07 % (5974)------------------------------
% 54.42/9.07 % (5974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.42/9.07 % (5974)Termination reason: Unknown
% 54.42/9.07 % (5974)Termination phase: Saturation
% 54.42/9.07
% 54.42/9.07 % (5974)Memory used [KB]: 9978
% 54.42/9.07 % (5974)Time elapsed: 0.342 s
% 54.42/9.07 % (5974)Instructions burned: 1188 (million)
% 54.42/9.07 % (5974)------------------------------
% 54.42/9.07 % (5974)------------------------------
% 54.42/9.08 % (5981)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_5137 for (2925ds/643Mi)
% 55.40/9.21 % (5976)Instruction limit reached!
% 55.40/9.21 % (5976)------------------------------
% 55.40/9.21 % (5976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.40/9.21 % (5976)Termination reason: Unknown
% 55.40/9.21 % (5976)Termination phase: Saturation
% 55.40/9.21
% 55.40/9.21 % (5976)Memory used [KB]: 7803
% 55.40/9.21 % (5976)Time elapsed: 0.416 s
% 55.40/9.21 % (5976)Instructions burned: 1519 (million)
% 55.40/9.21 % (5976)------------------------------
% 55.40/9.21 % (5976)------------------------------
% 55.40/9.22 % (5982)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_5137 for (2923ds/458Mi)
% 55.40/9.28 % (5981)Instruction limit reached!
% 55.40/9.28 % (5981)------------------------------
% 55.40/9.28 % (5981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.40/9.28 % (5981)Termination reason: Unknown
% 55.40/9.28 % (5981)Termination phase: Saturation
% 55.40/9.28
% 55.40/9.28 % (5981)Memory used [KB]: 7164
% 55.40/9.28 % (5981)Time elapsed: 0.196 s
% 55.40/9.28 % (5981)Instructions burned: 646 (million)
% 55.40/9.28 % (5981)------------------------------
% 55.40/9.28 % (5981)------------------------------
% 55.40/9.29 % (5983)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_5137 for (2923ds/2546Mi)
% 56.03/9.36 % (5982)Instruction limit reached!
% 56.03/9.36 % (5982)------------------------------
% 56.03/9.36 % (5982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.03/9.36 % (5982)Termination reason: Unknown
% 56.03/9.36 % (5982)Termination phase: Saturation
% 56.03/9.36
% 56.03/9.36 % (5982)Memory used [KB]: 7291
% 56.03/9.36 % (5982)Time elapsed: 0.138 s
% 56.03/9.36 % (5982)Instructions burned: 459 (million)
% 56.03/9.36 % (5982)------------------------------
% 56.03/9.36 % (5982)------------------------------
% 56.03/9.37 % (5984)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_5137 for (2922ds/1432Mi)
% 56.57/9.48 % (5972)Instruction limit reached!
% 56.57/9.48 % (5972)------------------------------
% 56.57/9.48 % (5972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.57/9.48 % (5972)Termination reason: Unknown
% 56.57/9.48 % (5972)Termination phase: Saturation
% 56.57/9.48
% 56.57/9.48 % (5972)Memory used [KB]: 12409
% 56.57/9.48 % (5972)Time elapsed: 0.906 s
% 56.57/9.48 % (5972)Instructions burned: 3115 (million)
% 56.57/9.48 % (5972)------------------------------
% 56.57/9.48 % (5972)------------------------------
% 56.57/9.49 % (5985)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_5137 for (2921ds/386Mi)
% 56.97/9.60 % (5985)Instruction limit reached!
% 56.97/9.60 % (5985)------------------------------
% 56.97/9.60 % (5985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.97/9.60 % (5985)Termination reason: Unknown
% 56.97/9.60 % (5985)Termination phase: Saturation
% 56.97/9.60
% 56.97/9.60 % (5985)Memory used [KB]: 7164
% 56.97/9.60 % (5985)Time elapsed: 0.110 s
% 56.97/9.60 % (5985)Instructions burned: 387 (million)
% 56.97/9.60 % (5985)------------------------------
% 56.97/9.60 % (5985)------------------------------
% 57.27/9.61 % (5986)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_5137 for (2920ds/360Mi)
% 57.27/9.67 % (5978)Instruction limit reached!
% 57.27/9.67 % (5978)------------------------------
% 57.27/9.67 % (5978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.27/9.67 % (5978)Termination reason: Unknown
% 57.27/9.67 % (5978)Termination phase: Saturation
% 57.27/9.67
% 57.27/9.67 % (5978)Memory used [KB]: 11513
% 57.27/9.67 % (5978)Time elapsed: 0.815 s
% 57.27/9.67 % (5978)Instructions burned: 2812 (million)
% 57.27/9.67 % (5978)------------------------------
% 57.27/9.67 % (5978)------------------------------
% 57.27/9.68 % (5987)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_5137 for (2919ds/5446Mi)
% 57.27/9.69 % (5984)Instruction limit reached!
% 57.27/9.69 % (5984)------------------------------
% 57.27/9.69 % (5984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.27/9.69 % (5984)Termination reason: Unknown
% 57.27/9.69 % (5984)Termination phase: Saturation
% 57.27/9.69
% 57.27/9.69 % (5984)Memory used [KB]: 8827
% 57.27/9.69 % (5984)Time elapsed: 0.327 s
% 57.27/9.69 % (5984)Instructions burned: 1434 (million)
% 57.27/9.69 % (5984)------------------------------
% 57.27/9.69 % (5984)------------------------------
% 58.00/9.70 % (5988)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_5137 for (2919ds/2573Mi)
% 58.00/9.71 % (5986)Instruction limit reached!
% 58.00/9.71 % (5986)------------------------------
% 58.00/9.71 % (5986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.00/9.71 % (5986)Termination reason: Unknown
% 58.00/9.71 % (5986)Termination phase: Saturation
% 58.00/9.71
% 58.00/9.71 % (5986)Memory used [KB]: 7036
% 58.00/9.71 % (5986)Time elapsed: 0.105 s
% 58.00/9.71 % (5986)Instructions burned: 362 (million)
% 58.00/9.71 % (5986)------------------------------
% 58.00/9.71 % (5986)------------------------------
% 58.00/9.72 % (5989)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_5137 for (2918ds/2655Mi)
% 58.00/9.79 % (5964)Instruction limit reached!
% 58.00/9.79 % (5964)------------------------------
% 58.00/9.79 % (5964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.00/9.79 % (5964)Termination reason: Unknown
% 58.00/9.79 % (5964)Termination phase: Saturation
% 58.00/9.79
% 58.00/9.79 % (5964)Memory used [KB]: 13048
% 58.00/9.79 % (5964)Time elapsed: 1.991 s
% 58.00/9.79 % (5964)Instructions burned: 7258 (million)
% 58.00/9.79 % (5964)------------------------------
% 58.00/9.79 % (5964)------------------------------
% 58.00/9.80 % (5990)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_5137 for (2918ds/2781Mi)
% 58.32/9.85 % (5980)Instruction limit reached!
% 58.32/9.85 % (5980)------------------------------
% 58.32/9.85 % (5980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.32/9.85 % (5980)Termination reason: Unknown
% 58.32/9.85 % (5980)Termination phase: Saturation
% 58.32/9.85
% 58.32/9.85 % (5980)Memory used [KB]: 7931
% 58.32/9.85 % (5980)Time elapsed: 0.812 s
% 58.32/9.85 % (5980)Instructions burned: 2678 (million)
% 58.32/9.85 % (5980)------------------------------
% 58.32/9.85 % (5980)------------------------------
% 58.32/9.86 % (5991)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_5137 for (2917ds/307Mi)
% 59.25/9.95 % (5991)Instruction limit reached!
% 59.25/9.95 % (5991)------------------------------
% 59.25/9.95 % (5991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.25/9.95 % (5991)Termination reason: Unknown
% 59.25/9.95 % (5991)Termination phase: Saturation
% 59.25/9.95
% 59.25/9.95 % (5991)Memory used [KB]: 6268
% 59.25/9.95 % (5991)Time elapsed: 0.089 s
% 59.25/9.95 % (5991)Instructions burned: 308 (million)
% 59.25/9.95 % (5991)------------------------------
% 59.25/9.95 % (5991)------------------------------
% 59.25/9.96 % (5992)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_5137 for (2916ds/1548Mi)
% 61.44/10.04 % (5983)Instruction limit reached!
% 61.44/10.04 % (5983)------------------------------
% 61.44/10.04 % (5983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.44/10.04 % (5983)Termination reason: Unknown
% 61.44/10.04 % (5983)Termination phase: Saturation
% 61.44/10.04
% 61.44/10.04 % (5983)Memory used [KB]: 11641
% 61.44/10.04 % (5983)Time elapsed: 0.758 s
% 61.44/10.04 % (5983)Instructions burned: 2546 (million)
% 61.44/10.04 % (5983)------------------------------
% 61.44/10.04 % (5983)------------------------------
% 61.44/10.05 % (5993)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_5137 for (2915ds/5214Mi)
% 62.10/10.15 % (5979)Instruction limit reached!
% 62.10/10.15 % (5979)------------------------------
% 62.10/10.15 % (5979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.10/10.15 % (5979)Termination reason: Unknown
% 62.10/10.15 % (5979)Termination phase: Saturation
% 62.10/10.15
% 62.10/10.15 % (5979)Memory used [KB]: 11641
% 62.10/10.15 % (5979)Time elapsed: 1.288 s
% 62.10/10.15 % (5979)Instructions burned: 4604 (million)
% 62.10/10.16 % (5979)------------------------------
% 62.10/10.16 % (5979)------------------------------
% 62.10/10.17 % (5994)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_5137 for (2914ds/3201Mi)
% 63.00/10.40 % (5992)Instruction limit reached!
% 63.00/10.40 % (5992)------------------------------
% 63.00/10.40 % (5992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.00/10.40 % (5992)Termination reason: Unknown
% 63.00/10.40 % (5992)Termination phase: Saturation
% 63.00/10.40
% 63.00/10.40 % (5992)Memory used [KB]: 8059
% 63.00/10.40 % (5992)Time elapsed: 0.437 s
% 63.00/10.40 % (5992)Instructions burned: 1550 (million)
% 63.00/10.40 % (5992)------------------------------
% 63.00/10.40 % (5992)------------------------------
% 63.06/10.41 % (5995)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_5137 for (2911ds/454Mi)
% 63.06/10.45 % (5988)Instruction limit reached!
% 63.06/10.45 % (5988)------------------------------
% 63.06/10.45 % (5988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.06/10.45 % (5988)Termination reason: Unknown
% 63.06/10.45 % (5988)Termination phase: Saturation
% 63.06/10.45
% 63.06/10.45 % (5988)Memory used [KB]: 11641
% 63.06/10.45 % (5988)Time elapsed: 0.752 s
% 63.06/10.45 % (5988)Instructions burned: 2576 (million)
% 63.06/10.45 % (5988)------------------------------
% 63.06/10.45 % (5988)------------------------------
% 63.06/10.46 % (5996)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_5137 for (2911ds/3049Mi)
% 63.87/10.51 % (5989)Instruction limit reached!
% 63.87/10.51 % (5989)------------------------------
% 63.87/10.51 % (5989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.87/10.51 % (5989)Termination reason: Unknown
% 63.87/10.51 % (5989)Termination phase: Saturation
% 63.87/10.51
% 63.87/10.51 % (5989)Memory used [KB]: 10874
% 63.87/10.51 % (5989)Time elapsed: 0.794 s
% 63.87/10.51 % (5989)Instructions burned: 2656 (million)
% 63.87/10.51 % (5989)------------------------------
% 63.87/10.51 % (5989)------------------------------
% 63.87/10.52 % (5997)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_5137 for (2910ds/7311Mi)
% 63.87/10.54 % (5995)Instruction limit reached!
% 63.87/10.54 % (5995)------------------------------
% 63.87/10.54 % (5995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.87/10.54 % (5995)Termination reason: Unknown
% 63.87/10.54 % (5995)Termination phase: Saturation
% 63.87/10.54
% 63.87/10.54 % (5995)Memory used [KB]: 12665
% 63.87/10.54 % (5995)Time elapsed: 0.133 s
% 63.87/10.54 % (5995)Instructions burned: 455 (million)
% 63.87/10.54 % (5995)------------------------------
% 63.87/10.54 % (5995)------------------------------
% 63.87/10.55 % (5998)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_5137 for (2910ds/6804Mi)
% 64.26/10.60 % (5998)Refutation not found, incomplete strategy
% 64.26/10.60 % (5998)------------------------------
% 64.26/10.60 % (5998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.26/10.60 % (5998)Termination reason: Refutation not found, incomplete strategy
% 64.26/10.60
% 64.26/10.60
% 64.26/10.60 % (5998)Memory used [KB]: 6524
% 64.26/10.60 % (5998)Time elapsed: 0.058 s
% 64.26/10.60 % (5998)Instructions burned: 199 (million)
% 64.26/10.60 % (5998)------------------------------
% 64.26/10.60 % (5998)------------------------------
% 64.26/10.61 % (5999)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_5137 for (2909ds/1683Mi)
% 64.26/10.62 % (5990)Instruction limit reached!
% 64.26/10.62 % (5990)------------------------------
% 64.26/10.62 % (5990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.26/10.62 % (5990)Termination reason: Unknown
% 64.26/10.62 % (5990)Termination phase: Saturation
% 64.26/10.62
% 64.26/10.62 % (5990)Memory used [KB]: 6652
% 64.26/10.62 % (5990)Time elapsed: 0.821 s
% 64.26/10.62 % (5990)Instructions burned: 2783 (million)
% 64.26/10.62 % (5990)------------------------------
% 64.26/10.62 % (5990)------------------------------
% 64.26/10.63 % (6000)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_5137 for (2909ds/4688Mi)
% 68.44/11.07 % (5994)Instruction limit reached!
% 68.44/11.07 % (5994)------------------------------
% 68.44/11.07 % (5994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.44/11.07 % (5994)Termination reason: Unknown
% 68.44/11.07 % (5994)Termination phase: Saturation
% 68.44/11.07
% 68.44/11.07 % (5994)Memory used [KB]: 10746
% 68.44/11.07 % (5994)Time elapsed: 0.903 s
% 68.44/11.07 % (5994)Instructions burned: 3202 (million)
% 68.44/11.07 % (5994)------------------------------
% 68.44/11.07 % (5994)------------------------------
% 68.44/11.08 % (6001)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_5137 for (2905ds/2207Mi)
% 68.44/11.10 % (5999)Instruction limit reached!
% 68.44/11.10 % (5999)------------------------------
% 68.44/11.10 % (5999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.44/11.10 % (5999)Termination reason: Unknown
% 68.44/11.10 % (5999)Termination phase: Saturation
% 68.44/11.10
% 68.44/11.10 % (5999)Memory used [KB]: 9338
% 68.44/11.10 % (5999)Time elapsed: 0.490 s
% 68.44/11.10 % (5999)Instructions burned: 1683 (million)
% 68.44/11.10 % (5999)------------------------------
% 68.44/11.10 % (5999)------------------------------
% 68.44/11.11 % (6002)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=8216:si=on:rtra=on_0 on DTF2THF_5137 for (2905ds/8216Mi)
% 69.51/11.29 % (5987)Instruction limit reached!
% 69.51/11.29 % (5987)------------------------------
% 69.51/11.29 % (5987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.51/11.29 % (5987)Termination reason: Unknown
% 69.51/11.29 % (5987)Termination phase: Saturation
% 69.51/11.29
% 69.51/11.29 % (5987)Memory used [KB]: 13432
% 69.51/11.29 % (5987)Time elapsed: 1.606 s
% 69.51/11.29 % (5987)Instructions burned: 5446 (million)
% 69.51/11.29 % (5987)------------------------------
% 69.51/11.29 % (5987)------------------------------
% 70.01/11.30 % (6003)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_5137 for (2903ds/430Mi)
% 70.41/11.41 % (5996)Instruction limit reached!
% 70.41/11.41 % (5996)------------------------------
% 70.41/11.41 % (5996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.41/11.41 % (5996)Termination reason: Unknown
% 70.41/11.41 % (5996)Termination phase: Saturation
% 70.41/11.41
% 70.41/11.41 % (5996)Memory used [KB]: 11897
% 70.41/11.41 % (5996)Time elapsed: 0.947 s
% 70.41/11.41 % (5996)Instructions burned: 3049 (million)
% 70.41/11.41 % (5996)------------------------------
% 70.41/11.41 % (5996)------------------------------
% 70.41/11.42 % (6004)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_5137 for (2901ds/2012Mi)
% 70.41/11.43 % (6003)Instruction limit reached!
% 70.41/11.43 % (6003)------------------------------
% 70.41/11.43 % (6003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.41/11.43 % (6003)Termination reason: Unknown
% 70.41/11.43 % (6003)Termination phase: Saturation
% 70.41/11.43
% 70.41/11.43 % (6003)Memory used [KB]: 7036
% 70.41/11.43 % (6003)Time elapsed: 0.127 s
% 70.41/11.43 % (6003)Instructions burned: 430 (million)
% 70.41/11.43 % (6003)------------------------------
% 70.41/11.43 % (6003)------------------------------
% 70.41/11.43 % (6005)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_5137 for (2901ds/631Mi)
% 70.88/11.53 % (5993)Refutation not found, non-redundant clauses discarded% (5993)------------------------------
% 70.88/11.53 % (5993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.88/11.53 % (5993)Termination reason: Refutation not found, non-redundant clauses discarded
% 70.88/11.53
% 70.88/11.53 % (5993)Memory used [KB]: 18038
% 70.88/11.53 % (5993)Time elapsed: 1.476 s
% 70.88/11.53 % (5993)Instructions burned: 5145 (million)
% 70.88/11.53 % (5993)------------------------------
% 70.88/11.53 % (5993)------------------------------
% 70.88/11.54 % (6006)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_5137 for (2900ds/8785Mi)
% 71.11/11.62 % (6005)Instruction limit reached!
% 71.11/11.62 % (6005)------------------------------
% 71.11/11.62 % (6005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.11/11.62 % (6005)Termination reason: Unknown
% 71.11/11.62 % (6005)Termination phase: Saturation
% 71.11/11.62
% 71.11/11.62 % (6005)Memory used [KB]: 7164
% 71.11/11.62 % (6005)Time elapsed: 0.188 s
% 71.11/11.62 % (6005)Instructions burned: 632 (million)
% 71.11/11.62 % (6005)------------------------------
% 71.11/11.62 % (6005)------------------------------
% 71.11/11.63 % (6007)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_5137 for (2899ds/739Mi)
% 71.50/11.71 % (6001)Instruction limit reached!
% 71.50/11.71 % (6001)------------------------------
% 71.50/11.71 % (6001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.50/11.71 % (6001)Termination reason: Unknown
% 71.50/11.71 % (6001)Termination phase: Saturation
% 71.50/11.71
% 71.50/11.71 % (6001)Memory used [KB]: 10490
% 71.50/11.71 % (6001)Time elapsed: 0.660 s
% 71.50/11.71 % (6001)Instructions burned: 2209 (million)
% 71.50/11.71 % (6001)------------------------------
% 71.50/11.71 % (6001)------------------------------
% 71.50/11.72 % (6008)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_5137 for (2898ds/5473Mi)
% 72.36/11.86 % (6007)Instruction limit reached!
% 72.36/11.86 % (6007)------------------------------
% 72.36/11.86 % (6007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.36/11.86 % (6007)Termination reason: Unknown
% 72.36/11.86 % (6007)Termination phase: Saturation
% 72.36/11.86
% 72.36/11.86 % (6007)Memory used [KB]: 7931
% 72.36/11.86 % (6007)Time elapsed: 0.226 s
% 72.36/11.86 % (6007)Instructions burned: 740 (million)
% 72.36/11.86 % (6007)------------------------------
% 72.36/11.86 % (6007)------------------------------
% 72.36/11.87 % (6009)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_5137 for (2897ds/43570Mi)
% 72.79/11.95 % (6000)Instruction limit reached!
% 72.79/11.95 % (6000)------------------------------
% 72.79/11.95 % (6000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.79/11.95 % (6000)Termination reason: Unknown
% 72.79/11.95 % (6000)Termination phase: Saturation
% 72.79/11.95
% 72.79/11.95 % (6000)Memory used [KB]: 9466
% 72.79/11.95 % (6000)Time elapsed: 1.327 s
% 72.79/11.95 % (6000)Instructions burned: 4689 (million)
% 72.79/11.95 % (6000)------------------------------
% 72.79/11.95 % (6000)------------------------------
% 72.79/11.96 % (6010)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_5137 for (2896ds/8382Mi)
% 72.79/12.01 % (6004)Instruction limit reached!
% 72.79/12.01 % (6004)------------------------------
% 72.79/12.01 % (6004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.79/12.01 % (6004)Termination reason: Unknown
% 72.79/12.01 % (6004)Termination phase: Saturation
% 72.79/12.01
% 72.79/12.01 % (6004)Memory used [KB]: 16375
% 72.79/12.01 % (6004)Time elapsed: 0.598 s
% 72.79/12.01 % (6004)Instructions burned: 2012 (million)
% 72.79/12.01 % (6004)------------------------------
% 72.79/12.01 % (6004)------------------------------
% 75.50/12.02 % (6011)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_5137 for (2895ds/407Mi)
% 76.11/12.14 % (6011)Instruction limit reached!
% 76.11/12.14 % (6011)------------------------------
% 76.11/12.14 % (6011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.11/12.14 % (6011)Termination reason: Unknown
% 76.11/12.14 % (6011)Termination phase: Saturation
% 76.11/12.14
% 76.11/12.14 % (6011)Memory used [KB]: 7164
% 76.11/12.14 % (6011)Time elapsed: 0.119 s
% 76.11/12.14 % (6011)Instructions burned: 408 (million)
% 76.11/12.14 % (6011)------------------------------
% 76.11/12.14 % (6011)------------------------------
% 76.11/12.15 % (6012)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_5137 for (2894ds/2971Mi)
% 76.11/12.18 % (6012)Refutation not found, incomplete strategy
% 76.11/12.18 % (6012)------------------------------
% 76.11/12.18 % (6012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.11/12.18 % (6012)Termination reason: Refutation not found, incomplete strategy
% 76.11/12.18
% 76.11/12.18
% 76.11/12.18 % (6012)Memory used [KB]: 6140
% 76.11/12.18 % (6012)Time elapsed: 0.033 s
% 76.11/12.18 % (6012)Instructions burned: 112 (million)
% 76.11/12.18 % (6012)------------------------------
% 76.11/12.18 % (6012)------------------------------
% 76.11/12.19 % (6013)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_5137 for (2894ds/9822Mi)
% 77.93/12.45 % (5997)Instruction limit reached!
% 77.93/12.45 % (5997)------------------------------
% 77.93/12.45 % (5997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.93/12.45 % (5997)Termination reason: Unknown
% 77.93/12.45 % (5997)Termination phase: Saturation
% 77.93/12.45
% 77.93/12.45 % (5997)Memory used [KB]: 11513
% 77.93/12.45 % (5997)Time elapsed: 1.928 s
% 77.93/12.45 % (5997)Instructions burned: 7312 (million)
% 77.93/12.45 % (5997)------------------------------
% 77.93/12.45 % (5997)------------------------------
% 77.93/12.46 % (6014)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_5137 for (2891ds/8425Mi)
% 84.45/13.34 % (6002)Instruction limit reached!
% 84.45/13.34 % (6002)------------------------------
% 84.45/13.34 % (6002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.45/13.34 % (6002)Termination reason: Unknown
% 84.45/13.34 % (6002)Termination phase: Saturation
% 84.45/13.34
% 84.45/13.34 % (6002)Memory used [KB]: 16502
% 84.45/13.34 % (6002)Time elapsed: 2.253 s
% 84.45/13.34 % (6002)Instructions burned: 8218 (million)
% 84.45/13.34 % (6002)------------------------------
% 84.45/13.34 % (6002)------------------------------
% 84.45/13.35 % (6015)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_5137 for (2882ds/3107Mi)
% 85.11/13.41 % (6008)Instruction limit reached!
% 85.11/13.41 % (6008)------------------------------
% 85.11/13.41 % (6008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.11/13.41 % (6008)Termination reason: Unknown
% 85.11/13.41 % (6008)Termination phase: Saturation
% 85.11/13.41
% 85.11/13.41 % (6008)Memory used [KB]: 20468
% 85.11/13.41 % (6008)Time elapsed: 1.692 s
% 85.11/13.41 % (6008)Instructions burned: 5474 (million)
% 85.11/13.41 % (6008)------------------------------
% 85.11/13.41 % (6008)------------------------------
% 85.11/13.42 % (6016)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_5137 for (2881ds/7967Mi)
% 85.11/13.45 % (6016)Refutation not found, incomplete strategy
% 85.11/13.45 % (6016)------------------------------
% 85.11/13.45 % (6016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.11/13.45 % (6016)Termination reason: Refutation not found, incomplete strategy
% 85.11/13.45
% 85.11/13.45
% 85.11/13.45 % (6016)Memory used [KB]: 6012
% 85.11/13.45 % (6016)Time elapsed: 0.022 s
% 85.11/13.45 % (6016)Instructions burned: 83 (million)
% 85.11/13.45 % (6016)------------------------------
% 85.11/13.45 % (6016)------------------------------
% 85.11/13.46 % (6017)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_5137 for (2881ds/3629Mi)
% 87.65/14.00 % (6006)Instruction limit reached!
% 87.65/14.00 % (6006)------------------------------
% 87.65/14.00 % (6006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.65/14.00 % (6006)Termination reason: Unknown
% 87.65/14.00 % (6006)Termination phase: Saturation
% 87.65/14.00
% 87.65/14.00 % (6006)Memory used [KB]: 17654
% 87.65/14.00 % (6006)Time elapsed: 2.466 s
% 87.65/14.00 % (6006)Instructions burned: 8786 (million)
% 87.65/14.00 % (6006)------------------------------
% 87.65/14.00 % (6006)------------------------------
% 87.65/14.01 % (6018)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_5137 for (2875ds/939Mi)
% 90.56/14.24 % (6015)Refutation not found, non-redundant clauses discarded% (6015)------------------------------
% 90.56/14.24 % (6015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.56/14.24 % (6015)Termination reason: Refutation not found, non-redundant clauses discarded
% 90.56/14.24
% 90.56/14.24 % (6015)Memory used [KB]: 12281
% 90.56/14.24 % (6015)Time elapsed: 0.888 s
% 90.56/14.24 % (6015)Instructions burned: 3031 (million)
% 90.56/14.24 % (6015)------------------------------
% 90.56/14.24 % (6015)------------------------------
% 90.56/14.25 % (6021)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_5137 for (2873ds/1188Mi)
% 90.56/14.29 % (6018)Instruction limit reached!
% 90.56/14.29 % (6018)------------------------------
% 90.56/14.29 % (6018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.56/14.29 % (6018)Termination reason: Unknown
% 90.56/14.29 % (6018)Termination phase: Saturation
% 90.56/14.29
% 90.56/14.29 % (6018)Memory used [KB]: 7419
% 90.56/14.29 % (6018)Time elapsed: 0.281 s
% 90.56/14.29 % (6018)Instructions burned: 939 (million)
% 90.56/14.29 % (6018)------------------------------
% 90.56/14.29 % (6018)------------------------------
% 91.41/14.30 % (6038)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_5137 for (2873ds/3205Mi)
% 91.41/14.39 % (6010)Instruction limit reached!
% 91.41/14.39 % (6010)------------------------------
% 91.41/14.39 % (6010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.41/14.39 % (6010)Termination reason: Unknown
% 91.41/14.39 % (6010)Termination phase: Saturation
% 91.41/14.39
% 91.41/14.39 % (6010)Memory used [KB]: 19957
% 91.41/14.39 % (6010)Time elapsed: 2.429 s
% 91.41/14.39 % (6010)Instructions burned: 8382 (million)
% 91.41/14.39 % (6010)------------------------------
% 91.41/14.39 % (6010)------------------------------
% 91.92/14.40 % (6087)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_5137 for (2872ds/865Mi)
% 92.32/14.57 % (6017)Instruction limit reached!
% 92.32/14.57 % (6017)------------------------------
% 92.32/14.57 % (6017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.32/14.57 % (6017)Termination reason: Unknown
% 92.32/14.57 % (6017)Termination phase: Saturation
% 92.32/14.57
% 92.32/14.57 % (6017)Memory used [KB]: 11897
% 92.32/14.57 % (6017)Time elapsed: 1.111 s
% 92.32/14.57 % (6017)Instructions burned: 3630 (million)
% 92.32/14.57 % (6017)------------------------------
% 92.32/14.57 % (6017)------------------------------
% 92.32/14.58 % (6152)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_5137 for (2870ds/7469Mi)
% 92.32/14.59 % (6021)Instruction limit reached!
% 92.32/14.59 % (6021)------------------------------
% 92.32/14.59 % (6021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.32/14.59 % (6021)Termination reason: Unknown
% 92.32/14.59 % (6021)Termination phase: Saturation
% 92.32/14.59
% 92.32/14.59 % (6021)Memory used [KB]: 8955
% 92.32/14.59 % (6021)Time elapsed: 0.344 s
% 92.32/14.59 % (6021)Instructions burned: 1191 (million)
% 92.32/14.59 % (6021)------------------------------
% 92.32/14.59 % (6021)------------------------------
% 93.06/14.60 % (6165)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_5137 for (2870ds/4165Mi)
% 93.06/14.65 % (6087)Refutation not found, non-redundant clauses discarded% (6087)------------------------------
% 93.06/14.65 % (6087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.06/14.65 % (6087)Termination reason: Refutation not found, non-redundant clauses discarded
% 93.06/14.65
% 93.06/14.65 % (6087)Memory used [KB]: 7164
% 93.06/14.65 % (6087)Time elapsed: 0.253 s
% 93.06/14.65 % (6087)Instructions burned: 864 (million)
% 93.06/14.65 % (6087)------------------------------
% 93.06/14.65 % (6087)------------------------------
% 93.06/14.67 % (6178)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_5137 for (2869ds/13468Mi)
% 94.23/14.96 % (6013)Refutation not found, non-redundant clauses discarded% (6013)------------------------------
% 94.23/14.96 % (6013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.23/14.96 % (6013)Termination reason: Refutation not found, non-redundant clauses discarded
% 94.23/14.96
% 94.23/14.96 % (6013)Memory used [KB]: 18549
% 94.23/14.96 % (6013)Time elapsed: 2.764 s
% 94.23/14.96 % (6013)Instructions burned: 9674 (million)
% 94.23/14.96 % (6013)------------------------------
% 94.23/14.96 % (6013)------------------------------
% 94.23/14.97 % (6314)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_5137 for (2866ds/2635Mi)
% 96.48/15.02 % (6014)Instruction limit reached!
% 96.48/15.02 % (6014)------------------------------
% 96.48/15.02 % (6014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.48/15.02 % (6014)Termination reason: Unknown
% 96.48/15.02 % (6014)Termination phase: Saturation
% 96.48/15.02
% 96.48/15.02 % (6014)Memory used [KB]: 14328
% 96.48/15.02 % (6014)Time elapsed: 2.558 s
% 96.48/15.02 % (6014)Instructions burned: 8428 (million)
% 96.48/15.02 % (6014)------------------------------
% 96.48/15.02 % (6014)------------------------------
% 96.48/15.03 % (6361)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_5137 for (2865ds/631Mi)
% 97.59/15.22 % (6361)Instruction limit reached!
% 97.59/15.22 % (6361)------------------------------
% 97.59/15.22 % (6361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.59/15.22 % (6361)Termination reason: Unknown
% 97.59/15.22 % (6361)Termination phase: Saturation
% 97.59/15.22
% 97.59/15.22 % (6361)Memory used [KB]: 7419
% 97.59/15.22 % (6361)Time elapsed: 0.194 s
% 97.59/15.22 % (6361)Instructions burned: 633 (million)
% 97.59/15.22 % (6361)------------------------------
% 97.59/15.22 % (6361)------------------------------
% 97.59/15.23 % (6447)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_5137 for (2863ds/15557Mi)
% 97.59/15.25 % (6038)Instruction limit reached!
% 97.59/15.25 % (6038)------------------------------
% 97.59/15.25 % (6038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.59/15.25 % (6038)Termination reason: Unknown
% 97.59/15.25 % (6038)Termination phase: Saturation
% 97.59/15.25
% 97.59/15.25 % (6038)Memory used [KB]: 12025
% 97.59/15.25 % (6038)Time elapsed: 0.944 s
% 97.59/15.25 % (6038)Instructions burned: 3206 (million)
% 97.59/15.25 % (6038)------------------------------
% 97.59/15.25 % (6038)------------------------------
% 97.59/15.26 % (6456)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_5137 for (2863ds/2142Mi)
% 100.37/15.75 % (6314)Instruction limit reached!
% 100.37/15.75 % (6314)------------------------------
% 100.37/15.75 % (6314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.37/15.75 % (6314)Termination reason: Unknown
% 100.37/15.75 % (6314)Termination phase: Saturation
% 100.37/15.75
% 100.37/15.75 % (6314)Memory used [KB]: 9466
% 100.37/15.75 % (6314)Time elapsed: 0.778 s
% 100.37/15.75 % (6314)Instructions burned: 2635 (million)
% 100.37/15.75 % (6314)------------------------------
% 100.37/15.75 % (6314)------------------------------
% 100.37/15.76 % (6621)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_5137 for (2858ds/5624Mi)
% 100.84/15.84 % (6165)Instruction limit reached!
% 100.84/15.84 % (6165)------------------------------
% 100.84/15.84 % (6165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.84/15.84 % (6165)Termination reason: Unknown
% 100.84/15.84 % (6165)Termination phase: Saturation
% 100.84/15.84
% 100.84/15.84 % (6165)Memory used [KB]: 15479
% 100.84/15.84 % (6165)Time elapsed: 1.242 s
% 100.84/15.84 % (6165)Instructions burned: 4168 (million)
% 100.84/15.84 % (6165)------------------------------
% 100.84/15.84 % (6165)------------------------------
% 100.84/15.84 % (6456)Instruction limit reached!
% 100.84/15.84 % (6456)------------------------------
% 100.84/15.84 % (6456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.84/15.84 % (6456)Termination reason: Unknown
% 100.84/15.84 % (6456)Termination phase: Saturation
% 100.84/15.84
% 100.84/15.84 % (6456)Memory used [KB]: 8827
% 100.84/15.84 % (6456)Time elapsed: 0.589 s
% 100.84/15.84 % (6456)Instructions burned: 2142 (million)
% 100.84/15.84 % (6456)------------------------------
% 100.84/15.84 % (6456)------------------------------
% 100.84/15.85 % (6622)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_5137 for (2857ds/1665Mi)
% 100.84/15.85 % (6623)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_5137 for (2857ds/64912Mi)
% 105.51/16.33 % (6622)Instruction limit reached!
% 105.51/16.33 % (6622)------------------------------
% 105.51/16.33 % (6622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.51/16.33 % (6622)Termination reason: Unknown
% 105.51/16.33 % (6622)Termination phase: Saturation
% 105.51/16.33
% 105.51/16.33 % (6622)Memory used [KB]: 9466
% 105.51/16.33 % (6622)Time elapsed: 0.474 s
% 105.51/16.33 % (6622)Instructions burned: 1668 (million)
% 105.51/16.33 % (6622)------------------------------
% 105.51/16.33 % (6622)------------------------------
% 105.51/16.34 % (6624)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_5137 for (2852ds/7801Mi)
% 107.36/16.67 % (6152)Instruction limit reached!
% 107.36/16.67 % (6152)------------------------------
% 107.36/16.67 % (6152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 107.36/16.67 % (6152)Termination reason: Unknown
% 107.36/16.67 % (6152)Termination phase: Saturation
% 107.36/16.67
% 107.36/16.67 % (6152)Memory used [KB]: 13176
% 107.36/16.67 % (6152)Time elapsed: 2.091 s
% 107.36/16.67 % (6152)Instructions burned: 7469 (million)
% 107.36/16.67 % (6152)------------------------------
% 107.36/16.67 % (6152)------------------------------
% 107.36/16.68 % (6625)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_5137 for (2849ds/15194Mi)
% 111.84/17.29 % (6621)Instruction limit reached!
% 111.84/17.29 % (6621)------------------------------
% 111.84/17.29 % (6621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.84/17.29 % (6621)Termination reason: Unknown
% 111.84/17.29 % (6621)Termination phase: Saturation
% 111.84/17.29
% 111.84/17.29 % (6621)Memory used [KB]: 14711
% 111.84/17.29 % (6621)Time elapsed: 1.535 s
% 111.84/17.29 % (6621)Instructions burned: 5626 (million)
% 111.84/17.29 % (6621)------------------------------
% 111.84/17.29 % (6621)------------------------------
% 112.55/17.30 % (6626)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_5137 for (2843ds/6753Mi)
% 120.26/18.48 % (6178)Instruction limit reached!
% 120.26/18.48 % (6178)------------------------------
% 120.26/18.48 % (6178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 120.26/18.48 % (6178)Termination reason: Unknown
% 120.26/18.48 % (6178)Termination phase: Saturation
% 120.26/18.48
% 120.26/18.48 % (6178)Memory used [KB]: 23155
% 120.26/18.48 % (6178)Time elapsed: 3.808 s
% 120.26/18.48 % (6178)Instructions burned: 13469 (million)
% 120.26/18.48 % (6178)------------------------------
% 120.26/18.48 % (6178)------------------------------
% 120.26/18.49 % (6627)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_5137 for (2831ds/1003Mi)
% 122.14/18.72 % (6624)Instruction limit reached!
% 122.14/18.72 % (6624)------------------------------
% 122.14/18.72 % (6624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.14/18.72 % (6624)Termination reason: Unknown
% 122.14/18.72 % (6624)Termination phase: Saturation
% 122.14/18.72
% 122.14/18.72 % (6624)Memory used [KB]: 9083
% 122.14/18.72 % (6624)Time elapsed: 2.381 s
% 122.14/18.72 % (6624)Instructions burned: 7803 (million)
% 122.14/18.72 % (6624)------------------------------
% 122.14/18.72 % (6624)------------------------------
% 122.14/18.73 % (6628)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_5137 for (2828ds/13018Mi)
% 122.14/18.79 % (6627)Instruction limit reached!
% 122.14/18.79 % (6627)------------------------------
% 122.14/18.79 % (6627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.14/18.79 % (6627)Termination reason: Unknown
% 122.14/18.79 % (6627)Termination phase: Saturation
% 122.14/18.79
% 122.14/18.79 % (6627)Memory used [KB]: 7547
% 122.14/18.79 % (6627)Time elapsed: 0.301 s
% 122.14/18.79 % (6627)Instructions burned: 1004 (million)
% 122.14/18.79 % (6627)------------------------------
% 122.14/18.79 % (6627)------------------------------
% 122.99/18.80 % (6629)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_5137 for (2828ds/1267Mi)
% 125.34/19.15 % (6629)Instruction limit reached!
% 125.34/19.15 % (6629)------------------------------
% 125.34/19.15 % (6629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 125.34/19.15 % (6629)Termination reason: Unknown
% 125.34/19.15 % (6629)Termination phase: Saturation
% 125.34/19.15
% 125.34/19.15 % (6629)Memory used [KB]: 7419
% 125.34/19.15 % (6629)Time elapsed: 0.373 s
% 125.34/19.15 % (6629)Instructions burned: 1267 (million)
% 125.34/19.15 % (6629)------------------------------
% 125.34/19.15 % (6629)------------------------------
% 125.34/19.16 % (6630)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_5137 for (2824ds/2570Mi)
% 125.84/19.30 % (6626)Instruction limit reached!
% 125.84/19.30 % (6626)------------------------------
% 125.84/19.30 % (6626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 125.84/19.30 % (6626)Termination reason: Unknown
% 125.84/19.30 % (6626)Termination phase: Saturation
% 125.84/19.30
% 125.84/19.30 % (6626)Memory used [KB]: 16758
% 125.84/19.30 % (6626)Time elapsed: 1.994 s
% 125.84/19.30 % (6626)Instructions burned: 6754 (million)
% 125.84/19.30 % (6626)------------------------------
% 125.84/19.30 % (6626)------------------------------
% 124.44/19.31 % (6631)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_5137 for (2822ds/13163Mi)
% 128.96/19.87 % (6447)Instruction limit reached!
% 128.96/19.87 % (6447)------------------------------
% 128.96/19.87 % (6447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 128.96/19.87 % (6447)Termination reason: Unknown
% 128.96/19.87 % (6447)Termination phase: Saturation
% 128.96/19.87
% 128.96/19.87 % (6447)Memory used [KB]: 24562
% 128.96/19.87 % (6447)Time elapsed: 4.640 s
% 128.96/19.87 % (6447)Instructions burned: 15560 (million)
% 128.96/19.87 % (6447)------------------------------
% 128.96/19.87 % (6447)------------------------------
% 128.96/19.88 % (6632)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_5137 for (2817ds/5087Mi)
% 129.45/19.93 % (6630)Instruction limit reached!
% 129.45/19.93 % (6630)------------------------------
% 129.45/19.93 % (6630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.45/19.93 % (6630)Termination reason: Unknown
% 129.45/19.93 % (6630)Termination phase: Saturation
% 129.45/19.93
% 129.45/19.93 % (6630)Memory used [KB]: 7164
% 129.45/19.93 % (6630)Time elapsed: 0.764 s
% 129.45/19.93 % (6630)Instructions burned: 2572 (million)
% 129.45/19.93 % (6630)------------------------------
% 129.45/19.93 % (6630)------------------------------
% 129.45/19.94 % (6633)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_5137 for (2816ds/10380Mi)
% 139.91/21.23 % (6625)Instruction limit reached!
% 139.91/21.23 % (6625)------------------------------
% 139.91/21.23 % (6625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 139.91/21.23 % (6625)Termination reason: Unknown
% 139.91/21.23 % (6625)Termination phase: Saturation
% 139.91/21.23
% 139.91/21.23 % (6625)Memory used [KB]: 27121
% 139.91/21.23 % (6625)Time elapsed: 4.558 s
% 139.91/21.23 % (6625)Instructions burned: 15196 (million)
% 139.91/21.23 % (6625)------------------------------
% 139.91/21.23 % (6625)------------------------------
% 139.91/21.25 % (6634)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_5137 for (2803ds/4218Mi)
% 140.57/21.35 % (6632)Instruction limit reached!
% 140.57/21.35 % (6632)------------------------------
% 140.57/21.35 % (6632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 140.57/21.35 % (6632)Termination reason: Unknown
% 140.57/21.35 % (6632)Termination phase: Saturation
% 140.57/21.35
% 140.57/21.35 % (6632)Memory used [KB]: 12920
% 140.57/21.35 % (6632)Time elapsed: 1.467 s
% 140.57/21.35 % (6632)Instructions burned: 5088 (million)
% 140.57/21.35 % (6632)------------------------------
% 140.57/21.35 % (6632)------------------------------
% 140.57/21.36 % (6635)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on DTF2THF_5137 for (2802ds/3971Mi)
% 148.34/22.47 % (6634)Instruction limit reached!
% 148.34/22.47 % (6634)------------------------------
% 148.34/22.47 % (6634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 148.34/22.47 % (6634)Termination reason: Unknown
% 148.34/22.47 % (6634)Termination phase: Saturation
% 148.34/22.47
% 148.34/22.47 % (6634)Memory used [KB]: 8827
% 148.34/22.47 % (6634)Time elapsed: 1.230 s
% 148.34/22.47 % (6634)Instructions burned: 4220 (million)
% 148.34/22.47 % (6634)------------------------------
% 148.34/22.47 % (6634)------------------------------
% 148.34/22.48 % (6636)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on DTF2THF_5137 for (2791ds/14014Mi)
% 149.02/22.55 % (6635)Instruction limit reached!
% 149.02/22.55 % (6635)------------------------------
% 149.02/22.55 % (6635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.02/22.55 % (6635)Termination reason: Unknown
% 149.02/22.55 % (6635)Termination phase: Saturation
% 149.02/22.55
% 149.02/22.55 % (6635)Memory used [KB]: 13944
% 149.02/22.55 % (6635)Time elapsed: 1.189 s
% 149.02/22.55 % (6635)Instructions burned: 3972 (million)
% 149.02/22.55 % (6635)------------------------------
% 149.02/22.55 % (6635)------------------------------
% 149.02/22.56 % (6637)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on DTF2THF_5137 for (2790ds/8517Mi)
% 149.58/22.67 % (6628)Instruction limit reached!
% 149.58/22.67 % (6628)------------------------------
% 149.58/22.67 % (6628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.58/22.67 % (6628)Termination reason: Unknown
% 149.58/22.67 % (6628)Termination phase: Saturation
% 149.58/22.67
% 149.58/22.67 % (6628)Memory used [KB]: 27888
% 149.58/22.67 % (6628)Time elapsed: 3.943 s
% 149.58/22.67 % (6628)Instructions burned: 13019 (million)
% 149.58/22.67 % (6628)------------------------------
% 149.58/22.67 % (6628)------------------------------
% 149.58/22.68 % (6638)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on DTF2THF_5137 for (2789ds/10148Mi)
% 150.47/22.86 % (6633)Instruction limit reached!
% 150.47/22.86 % (6633)------------------------------
% 150.47/22.86 % (6633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.47/22.86 % (6633)Termination reason: Unknown
% 150.47/22.86 % (6633)Termination phase: Saturation
% 150.47/22.86
% 150.47/22.86 % (6633)Memory used [KB]: 16247
% 150.47/22.86 % (6633)Time elapsed: 2.928 s
% 150.47/22.86 % (6633)Instructions burned: 10381 (million)
% 150.47/22.86 % (6633)------------------------------
% 150.47/22.86 % (6633)------------------------------
% 150.47/22.87 % (6639)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on DTF2THF_5137 for (2787ds/9078Mi)
% 150.85/22.99 % (6009)Refutation not found, non-redundant clauses discarded% (6009)------------------------------
% 150.85/22.99 % (6009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.85/22.99 % (6009)Termination reason: Refutation not found, non-redundant clauses discarded
% 150.85/22.99
% 150.85/22.99 % (6009)Memory used [KB]: 27632
% 150.85/22.99 % (6009)Time elapsed: 11.120 s
% 150.85/22.99 % (6009)Instructions burned: 43559 (million)
% 150.85/22.99 % (6009)------------------------------
% 150.85/22.99 % (6009)------------------------------
% 150.85/23.00 % (6640)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on DTF2THF_5137 for (2786ds/16164Mi)
% 152.73/23.03 % (6631)Instruction limit reached!
% 152.73/23.03 % (6631)------------------------------
% 152.73/23.03 % (6631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 152.73/23.03 % (6631)Termination reason: Unknown
% 152.73/23.03 % (6631)Termination phase: Saturation
% 152.73/23.03
% 152.73/23.03 % (6631)Memory used [KB]: 14583
% 152.73/23.03 % (6631)Time elapsed: 3.729 s
% 152.73/23.03 % (6631)Instructions burned: 13165 (million)
% 152.73/23.03 % (6631)------------------------------
% 152.73/23.03 % (6631)------------------------------
% 152.73/23.05 % (6641)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on DTF2THF_5137 for (2785ds/6102Mi)
% 164.49/24.75 % (6637)Refutation not found, non-redundant clauses discarded% (6637)------------------------------
% 164.49/24.75 % (6637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 164.49/24.75 % (6637)Termination reason: Refutation not found, non-redundant clauses discarded
% 164.49/24.75
% 164.49/24.75 % (6637)Memory used [KB]: 15095
% 164.49/24.75 % (6637)Time elapsed: 2.211 s
% 164.49/24.75 % (6637)Instructions burned: 7925 (million)
% 164.49/24.75 % (6637)------------------------------
% 164.49/24.75 % (6637)------------------------------
% 164.49/24.76 % (6642)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on DTF2THF_5137 for (2768ds/10308Mi)
% 164.49/24.79 % (6641)Instruction limit reached!
% 164.49/24.79 % (6641)------------------------------
% 164.49/24.79 % (6641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 164.49/24.79 % (6641)Termination reason: Unknown
% 164.49/24.79 % (6641)Termination phase: Saturation
% 164.49/24.79
% 164.49/24.79 % (6641)Memory used [KB]: 13304
% 164.49/24.79 % (6641)Time elapsed: 1.747 s
% 164.49/24.79 % (6641)Instructions burned: 6104 (million)
% 164.49/24.79 % (6641)------------------------------
% 164.49/24.79 % (6641)------------------------------
% 165.16/24.80 % (6643)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on DTF2THF_5137 for (2768ds/4041Mi)
% 165.16/24.82 % (6639)First to succeed.
% 165.16/24.84 % (6639)Refutation found. Thanks to Tanya!
% 165.16/24.84 % SZS status Theorem for DTF2THF_5137
% 165.16/24.84 % SZS output start Proof for DTF2THF_5137
% 165.16/24.84 thf(type_def_5, type, d: $tType).
% 165.16/24.84 thf(type_def_7, type, u: $tType).
% 165.16/24.84 thf(type_def_8, type, du: $tType).
% 165.16/24.84 thf(func_def_0, type, u: $tType).
% 165.16/24.84 thf(func_def_1, type, d: $tType).
% 165.16/24.84 thf(func_def_2, type, du: $tType).
% 165.16/24.84 thf(func_def_3, type, tyop_2Emin_2Ebool: d).
% 165.16/24.84 thf(func_def_4, type, tyop_2Emin_2Efun: d > d > d).
% 165.16/24.84 thf(func_def_5, type, s: d > u > du).
% 165.16/24.84 thf(func_def_6, type, app_2E2: du > du > u).
% 165.16/24.84 thf(func_def_7, type, combin_i_2E0: u).
% 165.16/24.84 thf(func_def_8, type, combin_k_2E0: u).
% 165.16/24.84 thf(func_def_9, type, combin_s_2E0: u).
% 165.16/24.84 thf(func_def_10, type, c_2Ebool_2E_21_2E0: u).
% 165.16/24.84 thf(func_def_11, type, c_2Ebool_2E_21_2E1: du > u).
% 165.16/24.84 thf(func_def_12, type, c_2Equotient_2E_2D_2D_3E_2E0: u).
% 165.16/24.84 thf(func_def_13, type, c_2Equotient_2E_2D_2D_3E_2E2: du > du > u).
% 165.16/24.84 thf(func_def_14, type, c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u).
% 165.16/24.84 thf(func_def_15, type, c_2Ebool_2E_2F_5C_2E0: u).
% 165.16/24.84 thf(func_def_16, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
% 165.16/24.84 thf(func_def_17, type, c_2Emin_2E_3D_2E0: u).
% 165.16/24.84 thf(func_def_18, type, c_2Emin_2E_3D_2E2: du > du > u).
% 165.16/24.84 thf(func_def_19, type, c_2Equotient_2E_3D_3D_3D_3E_2E0: u).
% 165.16/24.84 thf(func_def_20, type, c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u).
% 165.16/24.84 thf(func_def_21, type, c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u).
% 165.16/24.84 thf(func_def_22, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 165.16/24.84 thf(func_def_23, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
% 165.16/24.84 thf(func_def_24, type, c_2Ebool_2E_3F_2E0: u).
% 165.16/24.84 thf(func_def_25, type, c_2Ebool_2E_3F_2E1: du > u).
% 165.16/24.84 thf(func_def_26, type, c_2Ebool_2EF_2E0: u).
% 165.16/24.84 thf(func_def_27, type, c_2Equotient_2EQUOTIENT_2E0: u).
% 165.16/24.84 thf(func_def_28, type, c_2Equotient_2EQUOTIENT_2E3: du > du > du > u).
% 165.16/24.84 thf(func_def_29, type, c_2Ebool_2ET_2E0: u).
% 165.16/24.84 thf(func_def_30, type, c_2Ecombin_2EW_2E0: u).
% 165.16/24.84 thf(func_def_31, type, c_2Ecombin_2EW_2E2: du > du > u).
% 165.16/24.84 thf(func_def_32, type, c_2Ebool_2E_5C_2F_2E0: u).
% 165.16/24.84 thf(func_def_33, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
% 165.16/24.84 thf(func_def_34, type, c_2Equotient_2Erespects_2E0: u).
% 165.16/24.84 thf(func_def_35, type, c_2Equotient_2Erespects_2E2: du > du > u).
% 165.16/24.84 thf(func_def_36, type, c_2Ebool_2E_7E_2E0: u).
% 165.16/24.84 thf(func_def_37, type, c_2Ebool_2E_7E_2E1: du > u).
% 165.16/24.84 thf(func_def_38, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
% 165.16/24.84 thf(func_def_39, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
% 165.16/24.84 thf(func_def_40, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
% 165.16/24.84 thf(func_def_41, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 165.16/24.84 thf(func_def_44, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
% 165.16/24.84 thf(func_def_45, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
% 165.16/24.84 thf(func_def_46, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
% 165.16/24.84 thf(func_def_47, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
% 165.16/24.84 thf(func_def_48, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
% 165.16/24.84 thf(func_def_49, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
% 165.16/24.84 thf(func_def_50, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
% 165.16/24.84 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).
% 165.16/24.84 thf(func_def_56, type, sK0: u).
% 165.16/24.84 thf(func_def_57, type, sK1: u).
% 165.16/24.84 thf(func_def_58, type, sK2: d).
% 165.16/24.84 thf(func_def_59, type, sK3: d).
% 165.16/24.84 thf(func_def_60, type, sK4: d).
% 165.16/24.84 thf(func_def_61, type, sK5: d).
% 165.16/24.84 thf(func_def_62, type, sK6: u).
% 165.16/24.84 thf(func_def_63, type, sK7: u).
% 165.16/24.84 thf(func_def_64, type, sK8: u).
% 165.16/24.84 thf(func_def_65, type, sK9: u).
% 165.16/24.84 thf(func_def_66, type, sK10: u).
% 165.16/24.84 thf(func_def_67, type, sK11: u).
% 165.16/24.84 thf(func_def_68, type, sK12: d > u > u > d > u).
% 165.16/24.84 thf(f4603,plain,(
% 165.16/24.84 $false),
% 165.16/24.84 inference(avatar_sat_refutation,[status(thm)],[f194,f203,f214,f215,f4295,f4319,f4394,f4602])).
% 165.16/24.84 thf(f4602,plain,(
% 165.16/24.84 ~spl13_1 | spl13_4),
% 165.16/24.84 inference(avatar_contradiction_clause,[status(thm)],[f4601])).
% 165.16/24.84 thf(f4601,plain,(
% 165.16/24.84 $false | (~spl13_1 | spl13_4)),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4600])).
% 165.16/24.84 thf(f4600,plain,(
% 165.16/24.84 ($true = $false) | (~spl13_1 | spl13_4)),
% 165.16/24.84 inference(backward_demodulation,[status(thm)],[f4315,f4599])).
% 165.16/24.84 thf(f4599,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $false) | spl13_4),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4598])).
% 165.16/24.84 thf(f4598,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $false) | ($true != $true) | spl13_4),
% 165.16/24.84 inference(superposition,[status(thm)],[f213,f206])).
% 165.16/24.84 thf(f206,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f205,f143])).
% 165.16/24.84 thf(f143,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : u,X1 : d] : (((s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ (tyop_2Emin_2Efun @ X1 @ X2)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ X3))) @ (s @ X1 @ X0))) = (s @ X2 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ X3) @ (s @ X1 @ X0))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f113])).
% 165.16/24.84 thf(f113,plain,(
% 165.16/24.84 ! [X0 : u,X1 : d,X2 : d,X3 : u] : ((s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ (tyop_2Emin_2Efun @ X1 @ X2)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ X3))) @ (s @ X1 @ X0))) = (s @ X2 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X2)) @ X3) @ (s @ X1 @ X0))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f90])).
% 165.16/24.84 thf(f90,plain,(
% 165.16/24.84 ! [X0 : u,X1 : d,X3 : d,X2 : u] : ((s @ X3 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X3)) @ X2) @ (s @ X1 @ X0))) = (s @ X3 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X3)) @ (tyop_2Emin_2Efun @ X1 @ X3)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X3)) @ X2))) @ (s @ X1 @ X0))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f30])).
% 165.16/24.84 thf(f30,axiom,(
% 165.16/24.84 ! [X15 : u,X0 : d,X13 : u,X1 : d] : ((s @ X1 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X13) @ (s @ X0 @ X15))) = (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ (tyop_2Emin_2Efun @ X0 @ X1)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X13))) @ (s @ X0 @ X15))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b)).
% 165.16/24.84 thf(f205,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f177,f140])).
% 165.16/24.84 thf(f140,plain,(
% 165.16/24.84 ( ! [X0 : d,X1 : d] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X0)) @ (tyop_2Emin_2Efun @ X1 @ X0)) @ c_2Equotient_2Erespects_2E0) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X0)) @ (tyop_2Emin_2Efun @ X1 @ X0)) @ c_2Ecombin_2EW_2E0))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f89])).
% 165.16/24.84 thf(f89,plain,(
% 165.16/24.84 ! [X0 : d,X1 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X0)) @ (tyop_2Emin_2Efun @ X1 @ X0)) @ c_2Equotient_2Erespects_2E0) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X0)) @ (tyop_2Emin_2Efun @ X1 @ X0)) @ c_2Ecombin_2EW_2E0))),
% 165.16/24.84 inference(rectify,[status(thm)],[f44])).
% 165.16/24.84 thf(f44,axiom,(
% 165.16/24.84 ! [X1 : d,X0 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ (tyop_2Emin_2Efun @ X0 @ X1)) @ c_2Ecombin_2EW_2E0) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ (tyop_2Emin_2Efun @ X0 @ X1)) @ c_2Equotient_2Erespects_2E0))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2Erespects__def)).
% 165.16/24.84 thf(f177,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false)) )),
% 165.16/24.84 inference(binary_proxy_clausification,[status(thm)],[f142])).
% 165.16/24.84 thf(f142,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f112])).
% 165.16/24.84 thf(f112,plain,(
% 165.16/24.84 ! [X0 : d,X1 : u,X2 : d,X3 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f84])).
% 165.16/24.84 thf(f84,plain,(
% 165.16/24.84 ! [X1 : d,X3 : u,X2 : d,X0 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X0)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X0)))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f31])).
% 165.16/24.84 thf(f31,axiom,(
% 165.16/24.84 ! [X15 : u,X0 : d,X1 : d,X13 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ X13) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X15)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ X13))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X15)))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool)).
% 165.16/24.84 thf(f213,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | spl13_4),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f211])).
% 165.16/24.84 thf(f211,definition,(
% 165.16/24.84 spl13_4 <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)),
% 165.16/24.84 introduced(definition,[new_symbols(naming,[spl13_4])],[avatar_definition])).
% 165.16/24.84 thf(f4315,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ~spl13_1),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4298])).
% 165.16/24.84 thf(f4298,plain,(
% 165.16/24.84 ($true = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ~spl13_1),
% 165.16/24.84 inference(superposition,[status(thm)],[f189,f948])).
% 165.16/24.84 thf(f948,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false)) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f940])).
% 165.16/24.84 thf(f940,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (($true != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f436,f879])).
% 165.16/24.84 thf(f879,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (tyop_2Emin_2Efun @ sK3 @ sK5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK4) @ sK0) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))))) = $true)),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f877])).
% 165.16/24.84 thf(f877,plain,(
% 165.16/24.84 ($true != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (tyop_2Emin_2Efun @ sK3 @ sK5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK4) @ sK0) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))))) = $true)),
% 165.16/24.84 inference(superposition,[status(thm)],[f855,f138])).
% 165.16/24.84 thf(f138,plain,(
% 165.16/24.84 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK4) @ sK0) @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1)))))),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 thf(f109,plain,(
% 165.16/24.84 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK4) @ sK0) @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1))))) & (((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) != $true) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true)) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) = $true) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))) = $true))),
% 165.16/24.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f105,f108,f107,f106])).
% 165.16/24.84 thf(f106,plain,(
% 165.16/24.84 ? [X0 : u,X1 : u,X2 : d,X3 : d,X4 : d,X5 : d,X6 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X3 @ X4) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1))))) & ? [X7 : u,X8 : u,X9 : u] : (? [X10 : u,X11 : u] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) != $true) | ((s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))) != (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))))) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) = $true) & ((s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))) = (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))))))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X8)))) = $true))) => (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK4) @ sK0) @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1))))) & ? [X9 : u,X8 : u,X7 : u] : (? [X11 : u,X10 : u] : ((($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) != $true)) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) = $true))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ X8)))) = $true)))),
% 165.16/24.84 introduced(definition,[],[choice_axiom])).
% 165.16/24.84 thf(f107,plain,(
% 165.16/24.84 ? [X9 : u,X8 : u,X7 : u] : (? [X11 : u,X10 : u] : ((($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) != $true)) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) = $true))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ X9) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ X8)))) = $true)) => (? [X11 : u,X10 : u] : ((($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))))) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))) = $true))),
% 165.16/24.84 introduced(definition,[],[choice_axiom])).
% 165.16/24.84 thf(f108,plain,(
% 165.16/24.84 ? [X11 : u,X10 : u] : ((($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11)))))) & ((($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X11))))))) => ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) != $true) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true)) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) = $true) & ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)))),
% 165.16/24.84 introduced(definition,[],[choice_axiom])).
% 165.16/24.84 thf(f105,plain,(
% 165.16/24.84 ? [X0 : u,X1 : u,X2 : d,X3 : d,X4 : d,X5 : d,X6 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X3 @ X4) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1))))) & ? [X7 : u,X8 : u,X9 : u] : (? [X10 : u,X11 : u] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) != $true) | ((s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))) != (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))))) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10)))) = $true) & ((s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))) = (s @ (tyop_2Emin_2Efun @ X4 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ X3) @ X1) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X10) @ (s @ (tyop_2Emin_2Efun @ X3 @ X5) @ X11))))))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X2) @ X9) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X8)))) = $true)))),
% 165.16/24.84 inference(rectify,[status(thm)],[f104])).
% 165.16/24.84 thf(f104,plain,(
% 165.16/24.84 ? [X5 : u,X4 : u,X2 : d,X1 : d,X3 : d,X0 : d,X6 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4))))) & ? [X9 : u,X8 : u,X7 : u] : (? [X10 : u,X11 : u] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) != (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) != $true)) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) = (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X8)))) = $true)))),
% 165.16/24.84 inference(flattening,[status(thm)],[f103])).
% 165.16/24.84 thf(f103,plain,(
% 165.16/24.84 ? [X5 : u,X4 : u,X2 : d,X1 : d,X3 : d,X0 : d,X6 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4))))) & ? [X9 : u,X8 : u,X7 : u] : (? [X10 : u,X11 : u] : (((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) | ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) != (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) != $true)) & ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) = (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X8)))) = $true)))),
% 165.16/24.84 inference(nnf_transformation,[status(thm)],[f99])).
% 165.16/24.84 thf(f99,plain,(
% 165.16/24.84 ? [X5 : u,X4 : u,X2 : d,X1 : d,X3 : d,X0 : d,X6 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4))))) & ? [X9 : u,X8 : u,X7 : u] : (? [X10 : u,X11 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true) <~> (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) = (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X8)))) = $true)))),
% 165.16/24.84 inference(ennf_transformation,[status(thm)],[f79])).
% 165.16/24.84 thf(f79,plain,(
% 165.16/24.84 ~! [X2 : d,X5 : u,X0 : d,X6 : u,X4 : u,X3 : d,X1 : d] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4))))) => ! [X9 : u,X8 : u,X7 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X8)))) = $true) => ! [X11 : u,X10 : u] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))))) & ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) = (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11))))) <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) = $true))))),
% 165.16/24.84 inference(fool_elimination,[status(thm)],[f78])).
% 165.16/24.84 thf(f78,plain,(
% 165.16/24.84 ~! [X0 : d,X1 : d,X2 : d,X3 : d,X4 : u,X5 : u,X6 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4)))) => ! [X7 : u,X8 : u,X9 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X8)))) => ! [X10 : u,X11 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10)))) & ((s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10))) = (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X10) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X11)))))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f46])).
% 165.16/24.84 thf(f46,negated_conjecture,(
% 165.16/24.84 ~! [X1 : d,X0 : d,X14 : d,X7 : d,X29 : u,X28 : u,X27 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X0 @ X7) @ X28) @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29)))) => ! [X31 : u,X32 : u,X30 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X14 @ X1) @ X32)))) => ! [X33 : u,X34 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33)))) & ((s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33))) = (s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34)))))))),
% 165.16/24.84 inference(negated_conjecture,[status(cth)],[f45])).
% 165.16/24.84 thf(f45,conjecture,(
% 165.16/24.84 ! [X1 : d,X0 : d,X14 : d,X7 : d,X29 : u,X28 : u,X27 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X0 @ X7) @ X28) @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29)))) => ! [X31 : u,X32 : u,X30 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X14 @ X1) @ X32)))) => ! [X33 : u,X34 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33)))) & ((s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33))) = (s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X33) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34)))))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EFUN__REL__EQ__REL)).
% 165.16/24.84 thf(f855,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u,X4 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X3))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ (tyop_2Emin_2Efun @ X2 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X3) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ sK2) @ (tyop_2Emin_2Efun @ X0 @ sK5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))))))) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f853])).
% 165.16/24.84 thf(f853,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u,X4 : u] : (($true != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ sK5) @ (tyop_2Emin_2Efun @ X2 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X3) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ sK2) @ (tyop_2Emin_2Efun @ X0 @ sK5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8))))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X3)))))) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f158,f133])).
% 165.16/24.84 thf(f133,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK2 @ sK5) @ sK8)))) = $true)),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 thf(f158,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : d,X0 : d,X1 : d,X8 : u,X6 : u,X9 : u,X7 : u,X4 : u,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X8))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ (tyop_2Emin_2Efun @ X0 @ X3)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X3) @ (tyop_2Emin_2Efun @ X2 @ X1)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X8))))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X5) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4)))) != $true)) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f125])).
% 165.16/24.84 thf(f125,plain,(
% 165.16/24.84 ! [X0 : d,X1 : d,X2 : d,X3 : d,X4 : u,X5 : u,X6 : u] : (! [X7 : u,X8 : u,X9 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X1) @ (tyop_2Emin_2Efun @ X0 @ X3)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X3) @ (tyop_2Emin_2Efun @ X2 @ X1)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X8))))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X8)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ X5) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X4)))) != $true))),
% 165.16/24.84 inference(rectify,[status(thm)],[f97])).
% 165.16/24.84 thf(f97,plain,(
% 165.16/24.84 ! [X0 : d,X2 : d,X1 : d,X3 : d,X6 : u,X4 : u,X5 : u] : (! [X8 : u,X7 : u,X9 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ X0 @ X3)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X3) @ (tyop_2Emin_2Efun @ X1 @ X2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7)))))) = $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6)))) != $true))),
% 165.16/24.84 inference(ennf_transformation,[status(thm)],[f75])).
% 165.16/24.84 thf(f75,plain,(
% 165.16/24.84 ! [X6 : u,X3 : d,X4 : u,X1 : d,X0 : d,X2 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6)))) = $true) => ! [X7 : u,X8 : u,X9 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7))))) => ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ X0 @ X3)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X3) @ (tyop_2Emin_2Efun @ X1 @ X2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7)))))) = $true)))),
% 165.16/24.84 inference(fool_elimination,[status(thm)],[f74])).
% 165.16/24.84 thf(f74,plain,(
% 165.16/24.84 ! [X0 : d,X1 : d,X2 : d,X3 : d,X4 : u,X5 : u,X6 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6)))) => ! [X7 : u,X8 : u,X9 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7)))) => (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X9))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X2) @ (tyop_2Emin_2Efun @ X0 @ X3)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ X3) @ X8))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X3) @ (tyop_2Emin_2Efun @ X1 @ X2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ X7))))))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f43])).
% 165.16/24.84 thf(f43,axiom,(
% 165.16/24.84 ! [X7 : d,X0 : d,X1 : d,X14 : d,X28 : u,X27 : u,X29 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X0 @ X7) @ X28) @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29)))) => ! [X32 : u,X31 : u,X30 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31) @ (s @ (tyop_2Emin_2Efun @ X14 @ X1) @ X32)))) => (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X27) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X30))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X29) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X31))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X7 @ X14) @ (tyop_2Emin_2Efun @ X0 @ X1)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X7) @ X28) @ (s @ (tyop_2Emin_2Efun @ X14 @ X1) @ X32))))))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EFUN__QUOTIENT)).
% 165.16/24.84 thf(f436,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false)) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f434])).
% 165.16/24.84 thf(f434,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $true)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f204,f198])).
% 165.16/24.84 thf(f198,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : u,X4 : d,X5 : d] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))) = $true) | ($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(backward_demodulation,[status(thm)],[f179,f150])).
% 165.16/24.84 thf(f150,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : d,X0 : d,X1 : u] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f121])).
% 165.16/24.84 thf(f121,plain,(
% 165.16/24.84 ! [X0 : d,X1 : u,X2 : u,X3 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f88])).
% 165.16/24.84 thf(f88,plain,(
% 165.16/24.84 ! [X3 : d,X1 : u,X0 : u,X2 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X0))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X3) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool)) @ X0))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f23])).
% 165.16/24.84 thf(f23,axiom,(
% 165.16/24.84 ! [X15 : u,X13 : u,X0 : d,X1 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X13) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X15))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X13))) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X15))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b)).
% 165.16/24.84 thf(f179,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : u,X4 : d,X5 : d] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3))))) | ($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(binary_proxy_clausification,[status(thm)],[f139])).
% 165.16/24.84 thf(f139,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : u,X4 : d,X5 : d] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f110])).
% 165.16/24.84 thf(f110,plain,(
% 165.16/24.84 ! [X0 : u,X1 : u,X2 : u,X3 : u,X4 : d,X5 : d] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f83])).
% 165.16/24.84 thf(f83,plain,(
% 165.16/24.84 ! [X0 : u,X5 : u,X3 : u,X1 : u,X4 : d,X2 : d] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X3) @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X1)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X4) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X5))) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X2 @ X4) @ X1)))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f24])).
% 165.16/24.84 thf(f24,axiom,(
% 165.16/24.84 ! [X15 : u,X17 : u,X0 : d,X16 : u,X1 : d,X13 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X13) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X15) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X16) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X17)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X13))) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X15))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X16))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X17)))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b)).
% 165.16/24.84 thf(f204,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6)))) = $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f146,f156])).
% 165.16/24.84 thf(f156,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : d,X0 : u,X1 : u] : (((s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X2)) @ X0) @ (s @ X3 @ X1))) @ (s @ X3 @ X1))) = (s @ X2 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X2)) @ X0) @ (s @ X3 @ X1))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f123])).
% 165.16/24.84 thf(f123,plain,(
% 165.16/24.84 ! [X0 : u,X1 : u,X2 : d,X3 : d] : ((s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X2)) @ X0) @ (s @ X3 @ X1))) @ (s @ X3 @ X1))) = (s @ X2 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X2)) @ X0) @ (s @ X3 @ X1))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f91])).
% 165.16/24.84 thf(f91,plain,(
% 165.16/24.84 ! [X1 : u,X2 : u,X0 : d,X3 : d] : ((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X0) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X0)) @ X1) @ (s @ X3 @ X2))) @ (s @ X3 @ X2))) = (s @ X0 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ (tyop_2Emin_2Efun @ X3 @ X0)) @ X1) @ (s @ X3 @ X2))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f41])).
% 165.16/24.84 thf(f41,axiom,(
% 165.16/24.84 ! [X1 : d,X2 : u,X12 : u,X0 : d] : ((s @ X1 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X2) @ (s @ X0 @ X12))) = (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X2) @ (s @ X0 @ X12))) @ (s @ X0 @ X12))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Ecombin_2EW__THM)).
% 165.16/24.84 thf(f146,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6))) @ (s @ X4 @ X6))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true)) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f119])).
% 165.16/24.84 thf(f119,plain,(
% 165.16/24.84 ! [X0 : u,X1 : d,X2 : u,X3 : u,X4 : d] : (! [X5 : u,X6 : u] : (((((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) = (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) & ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true)) & (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) = $true) | ((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) != (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6))) @ (s @ X4 @ X6))))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f118])).
% 165.16/24.84 thf(f118,plain,(
% 165.16/24.84 ! [X3 : u,X0 : d,X2 : u,X1 : u,X4 : d] : (! [X5 : u,X6 : u] : (((((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) = (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) = $true)) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))))) & (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6))))) | ((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) != (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) != $true))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ (tyop_2Emin_2Efun @ X0 @ X4) @ X1)))) != $true))),
% 165.16/24.84 inference(flattening,[status(thm)],[f117])).
% 165.16/24.84 thf(f117,plain,(
% 165.16/24.84 ! [X3 : u,X0 : d,X2 : u,X1 : u,X4 : d] : (! [X5 : u,X6 : u] : (((((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) = (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) = $true)) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))))) & (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6))))) | (((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) != (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) != $true)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ (tyop_2Emin_2Efun @ X0 @ X4) @ X1)))) != $true))),
% 165.16/24.84 inference(nnf_transformation,[status(thm)],[f98])).
% 165.16/24.84 thf(f98,plain,(
% 165.16/24.84 ! [X3 : u,X0 : d,X2 : u,X1 : u,X4 : d] : (! [X5 : u,X6 : u] : ((((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) = (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) = $true)) <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ (tyop_2Emin_2Efun @ X0 @ X4) @ X1)))) != $true))),
% 165.16/24.84 inference(ennf_transformation,[status(thm)],[f55])).
% 165.16/24.84 thf(f55,plain,(
% 165.16/24.84 ! [X2 : u,X4 : d,X0 : d,X3 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ (tyop_2Emin_2Efun @ X0 @ X4) @ X1)))) = $true) => ! [X5 : u,X6 : u] : ((((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) = (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) & ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6)))) = $true)) <=> ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))))))),
% 165.16/24.84 inference(fool_elimination,[status(thm)],[f54])).
% 165.16/24.84 thf(f54,plain,(
% 165.16/24.84 ! [X0 : d,X1 : u,X2 : u,X3 : u,X4 : d] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ (tyop_2Emin_2Efun @ X0 @ X4) @ X1)))) => ! [X5 : u,X6 : u] : ((((s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X5))) = (s @ X0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X2) @ (s @ X4 @ X6)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X6))) @ (s @ X4 @ X6))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ X4 @ X5))) @ (s @ X4 @ X6))))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f42])).
% 165.16/24.84 thf(f42,axiom,(
% 165.16/24.84 ! [X1 : d,X24 : u,X23 : u,X22 : u,X0 : d] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X23) @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X24)))) => ! [X25 : u,X26 : u] : ((((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X23) @ (s @ X0 @ X25))) = (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X23) @ (s @ X0 @ X26)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ X0 @ X25))) @ (s @ X0 @ X25)))) & (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ X0 @ X26))) @ (s @ X0 @ X26))))) <=> (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ X0 @ X25))) @ (s @ X0 @ X26))))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',thm_2Equotient_2EQUOTIENT__REL)).
% 165.16/24.84 thf(f189,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ~spl13_1),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f187])).
% 165.16/24.84 thf(f187,definition,(
% 165.16/24.84 spl13_1 <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)),
% 165.16/24.84 introduced(definition,[new_symbols(naming,[spl13_1])],[avatar_definition])).
% 165.16/24.84 thf(f4394,plain,(
% 165.16/24.84 ~spl13_1 | spl13_2),
% 165.16/24.84 inference(avatar_contradiction_clause,[status(thm)],[f4393])).
% 165.16/24.84 thf(f4393,plain,(
% 165.16/24.84 $false | (~spl13_1 | spl13_2)),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4392])).
% 165.16/24.84 thf(f4392,plain,(
% 165.16/24.84 ($true = $false) | (~spl13_1 | spl13_2)),
% 165.16/24.84 inference(backward_demodulation,[status(thm)],[f4313,f4391])).
% 165.16/24.84 thf(f4391,plain,(
% 165.16/24.84 ($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | spl13_2),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4390])).
% 165.16/24.84 thf(f4390,plain,(
% 165.16/24.84 ($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ($true != $true) | spl13_2),
% 165.16/24.84 inference(superposition,[status(thm)],[f192,f206])).
% 165.16/24.84 thf(f192,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) != $true) | spl13_2),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f191])).
% 165.16/24.84 thf(f191,definition,(
% 165.16/24.84 spl13_2 <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) = $true)),
% 165.16/24.84 introduced(definition,[new_symbols(naming,[spl13_2])],[avatar_definition])).
% 165.16/24.84 thf(f4313,plain,(
% 165.16/24.84 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ~spl13_1),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4305])).
% 165.16/24.84 thf(f4305,plain,(
% 165.16/24.84 ($true = $false) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ~spl13_1),
% 165.16/24.84 inference(superposition,[status(thm)],[f947,f189])).
% 165.16/24.84 thf(f947,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $true)) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f939])).
% 165.16/24.84 thf(f939,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (($true != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $true)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f496,f879])).
% 165.16/24.84 thf(f496,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4)))))) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f494])).
% 165.16/24.84 thf(f494,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ($true != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f209,f198])).
% 165.16/24.84 thf(f209,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5)))))) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f147,f156])).
% 165.16/24.84 thf(f147,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) = $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true)) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f119])).
% 165.16/24.84 thf(f4319,plain,(
% 165.16/24.84 ~spl13_1 | spl13_3),
% 165.16/24.84 inference(avatar_contradiction_clause,[status(thm)],[f4318])).
% 165.16/24.84 thf(f4318,plain,(
% 165.16/24.84 $false | (~spl13_1 | spl13_3)),
% 165.16/24.84 inference(subsumption_resolution,[status(thm)],[f4306,f201])).
% 165.16/24.84 thf(f201,plain,(
% 165.16/24.84 ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | spl13_3),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f200])).
% 165.16/24.84 thf(f200,definition,(
% 165.16/24.84 spl13_3 <=> ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))),
% 165.16/24.84 introduced(definition,[new_symbols(naming,[spl13_3])],[avatar_definition])).
% 165.16/24.84 thf(f4306,plain,(
% 165.16/24.84 ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ~spl13_1),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4296])).
% 165.16/24.84 thf(f4296,plain,(
% 165.16/24.84 ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ($true = $false) | ~spl13_1),
% 165.16/24.84 inference(superposition,[status(thm)],[f189,f955])).
% 165.16/24.84 thf(f955,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))))) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f954,f185])).
% 165.16/24.84 thf(f185,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u,X6 : d,X4 : u,X5 : d] : (((s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))) = (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))))) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f141,f149])).
% 165.16/24.84 thf(f149,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : d,X0 : d,X1 : u,X4 : u,X5 : d] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X0) @ X1) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X4))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X3 @ X0) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X4))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f120])).
% 165.16/24.84 thf(f120,plain,(
% 165.16/24.84 ! [X0 : d,X1 : u,X2 : d,X3 : d,X4 : u,X5 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X0) @ X1) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X4))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ X3 @ X5)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X3 @ X0) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X4))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f86])).
% 165.16/24.84 thf(f86,plain,(
% 165.16/24.84 ! [X1 : d,X2 : u,X4 : d,X3 : d,X0 : u,X5 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X3 @ X5))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X3 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X3 @ X5)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X4 @ X5) @ X0))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X3 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X4 @ X5) @ X0))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f20])).
% 165.16/24.84 thf(f20,axiom,(
% 165.16/24.84 ! [X15 : u,X0 : d,X13 : u,X7 : d,X1 : d,X14 : d] : ((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X13) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X15))) = (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X14) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X7 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X14) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X13))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X15))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d)).
% 165.16/24.84 thf(f141,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u,X6 : d,X4 : u,X5 : d] : (((s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))) = (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f111])).
% 165.16/24.84 thf(f111,plain,(
% 165.16/24.84 ! [X0 : d,X1 : u,X2 : d,X3 : u,X4 : u,X5 : d,X6 : d] : ((s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X2 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ X2 @ X0)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))) = (s @ (tyop_2Emin_2Efun @ X2 @ X0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ X4) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X1))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f82])).
% 165.16/24.84 thf(f82,plain,(
% 165.16/24.84 ! [X0 : d,X2 : u,X6 : d,X5 : u,X3 : u,X1 : d,X4 : d] : ((s @ (tyop_2Emin_2Efun @ X6 @ X0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X6 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X2))) = (s @ (tyop_2Emin_2Efun @ X6 @ X0) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X6 @ X0)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X6 @ X0))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X4) @ (tyop_2Emin_2Efun @ X6 @ X0)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X6 @ X1) @ X5))) @ (s @ (tyop_2Emin_2Efun @ X4 @ X0) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X2))))),
% 165.16/24.84 inference(rectify,[status(thm)],[f21])).
% 165.16/24.84 thf(f21,axiom,(
% 165.16/24.84 ! [X14 : d,X0 : d,X16 : u,X15 : u,X1 : d,X13 : u,X7 : d] : ((s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X13) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X15) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X16))) = (s @ (tyop_2Emin_2Efun @ X7 @ X14) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X14) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X7 @ X0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X14) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ X7 @ X14)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X7 @ X0) @ X13))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X14) @ X15))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X16))))),
% 165.16/24.84 file('/export/starexec/sandbox/tmp/tmp.qSGA3ZQu7G/DTF2THF_5137.p',arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d)).
% 165.16/24.84 thf(f954,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))))) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f949,f185])).
% 165.16/24.84 thf(f949,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))))) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f938])).
% 165.16/24.84 thf(f938,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) = $false) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) | ($true != $true)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f561,f879])).
% 165.16/24.84 thf(f561,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ((s @ X6 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5))) = (s @ X6 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false)) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f559])).
% 165.16/24.84 thf(f559,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : d,X1 : d,X8 : u,X6 : d,X7 : u,X4 : u,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X0 @ X1)) @ X8))))) | ((s @ X6 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5))) = (s @ X6 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X1) @ X6) @ X7) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X0 @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X5)))) = $false) | ($true != $true)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f148,f198])).
% 165.16/24.84 thf(f148,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) != $true) | ((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) = (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f119])).
% 165.16/24.84 thf(f4295,plain,(
% 165.16/24.84 spl13_1 | ~spl13_2 | ~spl13_3 | ~spl13_4),
% 165.16/24.84 inference(avatar_contradiction_clause,[status(thm)],[f4294])).
% 165.16/24.84 thf(f4294,plain,(
% 165.16/24.84 $false | (spl13_1 | ~spl13_2 | ~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(subsumption_resolution,[status(thm)],[f4287,f188])).
% 165.16/24.84 thf(f188,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | spl13_1),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f187])).
% 165.16/24.84 thf(f4287,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | (~spl13_2 | ~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f4282])).
% 165.16/24.84 thf(f4282,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ($true = $false) | (~spl13_2 | ~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(superposition,[status(thm)],[f4159,f197])).
% 165.16/24.84 thf(f197,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : u,X4 : d,X5 : d] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))) = $false) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(backward_demodulation,[status(thm)],[f180,f150])).
% 165.16/24.84 thf(f180,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : u,X4 : d,X5 : d] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X4) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X4) @ X3)))) = $false)) )),
% 165.16/24.84 inference(binary_proxy_clausification,[status(thm)],[f139])).
% 165.16/24.84 thf(f4159,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | (~spl13_2 | ~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(subsumption_resolution,[status(thm)],[f4157,f223])).
% 165.16/24.84 thf(f223,plain,(
% 165.16/24.84 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ~spl13_2),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f221])).
% 165.16/24.84 thf(f221,plain,(
% 165.16/24.84 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ($true = $false) | ~spl13_2),
% 165.16/24.84 inference(superposition,[status(thm)],[f208,f193])).
% 165.16/24.84 thf(f193,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) = $true) | ~spl13_2),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f191])).
% 165.16/24.84 thf(f208,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f207,f143])).
% 165.16/24.84 thf(f207,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f178,f140])).
% 165.16/24.84 thf(f178,plain,(
% 165.16/24.84 ( ! [X2 : d,X3 : u,X0 : d,X1 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1))) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X0 @ X2) @ tyop_2Emin_2Ebool)) @ X1) @ (s @ (tyop_2Emin_2Efun @ X0 @ X2) @ X3)))) = $false)) )),
% 165.16/24.84 inference(binary_proxy_clausification,[status(thm)],[f142])).
% 165.16/24.84 thf(f4157,plain,(
% 165.16/24.84 ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | (~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(equality_resolution,[status(thm)],[f3860])).
% 165.16/24.84 thf(f3860,plain,(
% 165.16/24.84 ( ! [X0 : u] : (((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))))) ) | (~spl13_3 | ~spl13_4)),
% 165.16/24.84 inference(subsumption_resolution,[status(thm)],[f3856,f227])).
% 165.16/24.84 thf(f227,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ~spl13_4),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f225])).
% 165.16/24.84 thf(f225,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ($true = $false) | ~spl13_4),
% 165.16/24.84 inference(superposition,[status(thm)],[f208,f212])).
% 165.16/24.84 thf(f212,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ~spl13_4),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f211])).
% 165.16/24.84 thf(f3856,plain,(
% 165.16/24.84 ( ! [X0 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))))) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true)) ) | ~spl13_3),
% 165.16/24.84 inference(superposition,[status(thm)],[f953,f202])).
% 165.16/24.84 thf(f202,plain,(
% 165.16/24.84 ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ~spl13_3),
% 165.16/24.84 inference(avatar_component_clause,[status(thm)],[f200])).
% 165.16/24.84 thf(f953,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))))) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f952,f185])).
% 165.16/24.84 thf(f952,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f950,f185])).
% 165.16/24.84 thf(f950,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $true)) )),
% 165.16/24.84 inference(trivial_inequality_removal,[status(thm)],[f944])).
% 165.16/24.84 thf(f944,plain,(
% 165.16/24.84 ( ! [X0 : u,X1 : u] : (((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ sK4 @ sK2)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X1)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ X0)))) != $true) | ($true != $true)) )),
% 165.16/24.84 inference(superposition,[status(thm)],[f196,f879])).
% 165.16/24.84 thf(f196,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))))) | ((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) != (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6)))) != $true)) )),
% 165.16/24.84 inference(forward_demodulation,[status(thm)],[f195,f156])).
% 165.16/24.84 thf(f195,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) != (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) = $true) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3))))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) != $true)) )),
% 165.16/24.84 inference(backward_demodulation,[status(thm)],[f145,f156])).
% 165.16/24.84 thf(f145,plain,(
% 165.16/24.84 ( ! [X2 : u,X3 : u,X0 : u,X1 : d,X6 : u,X4 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X6)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X5))) @ (s @ X4 @ X5)))) != $true) | ((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X6))) != (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ X4 @ X5)))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ X4 @ X6))) @ (s @ X4 @ X6))))) | ($true != (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X4 @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool)) @ X0) @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X3)))))) )),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f119])).
% 165.16/24.84 thf(f215,plain,(
% 165.16/24.84 spl13_1 | spl13_4),
% 165.16/24.84 inference(avatar_split_clause,[status(thm)],[f136,f211,f187])).
% 165.16/24.84 thf(f136,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 thf(f214,plain,(
% 165.16/24.84 ~spl13_3 | ~spl13_2 | ~spl13_1 | ~spl13_4),
% 165.16/24.84 inference(avatar_split_clause,[status(thm)],[f137,f211,f187,f191,f200])).
% 165.16/24.84 thf(f137,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) != $true) | ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) != (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10))))),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 thf(f203,plain,(
% 165.16/24.84 spl13_1 | spl13_3),
% 165.16/24.84 inference(avatar_split_clause,[status(thm)],[f134,f200,f187])).
% 165.16/24.84 thf(f134,plain,(
% 165.16/24.84 ((s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11))) = (s @ (tyop_2Emin_2Efun @ sK4 @ sK2) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ sK4 @ sK3) @ sK1) @ (s @ (tyop_2Emin_2Efun @ sK5 @ sK2) @ sK9) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 thf(f194,plain,(
% 165.16/24.84 spl13_1 | spl13_2),
% 165.16/24.84 inference(avatar_split_clause,[status(thm)],[f135,f191,f187])).
% 165.16/24.84 thf(f135,plain,(
% 165.16/24.84 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7))) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10)))) = $true) | ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ sK3 @ (tyop_2Emin_2Efun @ sK3 @ tyop_2Emin_2Ebool)) @ sK6) @ (s @ (tyop_2Emin_2Efun @ sK5 @ (tyop_2Emin_2Efun @ sK5 @ tyop_2Emin_2Ebool)) @ sK7) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK10) @ (s @ (tyop_2Emin_2Efun @ sK3 @ sK5) @ sK11)))) = $true)),
% 165.16/24.84 inference(cnf_transformation,[status(thm)],[f109])).
% 165.16/24.84 % SZS output end Proof for DTF2THF_5137
% 165.16/24.84 % (6639)------------------------------
% 165.16/24.84 % (6639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 165.16/24.84 % (6639)Termination reason: Refutation
% 165.16/24.84
% 165.16/24.84 % (6639)Memory used [KB]: 19957
% 165.16/24.84 % (6639)Time elapsed: 1.965 s
% 165.16/24.84 % (6639)Instructions burned: 7165 (million)
% 165.16/24.84 % (6639)------------------------------
% 165.16/24.84 % (6639)------------------------------
% 165.16/24.84 % (5530)Success in time 23.248 s
%------------------------------------------------------------------------------