TSTP Solution File: ITP009_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP009_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:47:10 EDT 2024
% Result : Theorem 1.63s 1.04s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 71
% Syntax : Number of formulae : 170 ( 38 unt; 48 typ; 0 def)
% Number of atoms : 402 ( 74 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 469 ( 189 ~; 189 |; 61 &)
% ( 14 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 36 ( 18 >; 18 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 14 con; 0-7 aty)
% Number of variables : 541 ( 433 !; 62 ?; 541 :)
% ( 46 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
sK0: $tType ).
tff(type_def_8,type,
sK1: $tType ).
tff(type_def_9,type,
sK2: $tType ).
tff(type_def_10,type,
sK3: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Equotient_2E_2D_2D_3E_2E0:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X1),tyop_2Emin_2Efun(X0,X3)))) ).
tff(func_def_7,type,
c_2Equotient_2E_2D_2D_3E_2E2:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( tyop_2Emin_2Efun(X0,X2) * tyop_2Emin_2Efun(X1,X3) ) > tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X1),tyop_2Emin_2Efun(X0,X3)) ) ).
tff(func_def_8,type,
c_2Equotient_2E_2D_2D_3E_2E3:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( tyop_2Emin_2Efun(X0,X2) * tyop_2Emin_2Efun(X1,X3) * tyop_2Emin_2Efun(X2,X1) ) > tyop_2Emin_2Efun(X0,X3) ) ).
tff(func_def_9,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_13,type,
c_2Equotient_2E_3D_3D_3D_3E_2E0:
!>[X0: $tType,X1: $tType] : 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)))) ).
tff(func_def_14,type,
c_2Equotient_2E_3D_3D_3D_3E_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) * 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)) ) ).
tff(func_def_15,type,
c_2Equotient_2E_3D_3D_3D_3E_2E4:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)) * tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_16,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_19,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_20,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_21,type,
c_2Equotient_2EQUOTIENT_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool))) ).
tff(func_def_22,type,
c_2Equotient_2EQUOTIENT_2E3:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) * tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,X0) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_23,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_24,type,
c_2Ecombin_2EW_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)) ).
tff(func_def_25,type,
c_2Ecombin_2EW_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)) * X0 ) > X1 ) ).
tff(func_def_26,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_27,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_28,type,
c_2Equotient_2Erespects_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)) ).
tff(func_def_29,type,
c_2Equotient_2Erespects_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)) * X0 ) > X1 ) ).
tff(func_def_30,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_31,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_32,type,
sK4: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)) ).
tff(func_def_33,type,
sK5: tyop_2Emin_2Efun(sK0,sK2) ).
tff(func_def_34,type,
sK6: tyop_2Emin_2Efun(sK2,sK0) ).
tff(func_def_35,type,
sK7: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)) ).
tff(func_def_36,type,
sK8: tyop_2Emin_2Efun(sK1,sK3) ).
tff(func_def_37,type,
sK9: tyop_2Emin_2Efun(sK3,sK1) ).
tff(func_def_38,type,
sK10: tyop_2Emin_2Efun(sK0,sK1) ).
tff(func_def_39,type,
sK11: tyop_2Emin_2Efun(sK0,sK1) ).
tff(func_def_40,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f1017,plain,
$false,
inference(avatar_sat_refutation,[],[f156,f157,f158,f159,f249,f937,f986,f993,f997,f1012,f1014,f1016]) ).
tff(f1016,plain,
~ spl13_6,
inference(avatar_contradiction_clause,[],[f1015]) ).
tff(f1015,plain,
( $false
| ~ spl13_6 ),
inference(resolution,[],[f248,f128]) ).
tff(f128,plain,
p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),sK9)),
inference(definition_unfolding,[],[f87,f113]) ).
tff(f113,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] : ( c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] : ( c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4) = app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X1: $tType,X3: $tType,X13: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X14: tyop_2Emin_2Efun(X1,X3),X15: tyop_2Emin_2Efun(X3,X1)] : ( c_2Equotient_2EQUOTIENT_2E3(X1,X3,X13,X14,X15) = app_2E2(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X3),X13),X14),X15) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq3_2Ec_2Equotient_2EQUOTIENT_2E3_2Emono_2EA_27b_20mono_2EA_27d) ).
tff(f87,plain,
p(c_2Equotient_2EQUOTIENT_2E3(sK1,sK3,sK7,sK8,sK9)),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) )
& p(c_2Equotient_2EQUOTIENT_2E3(sK1,sK3,sK7,sK8,sK9))
& p(c_2Equotient_2EQUOTIENT_2E3(sK0,sK2,sK4,sK5,sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f74,f77,f76,f75]) ).
tff(f75,plain,
( ? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( ? [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( ? [X10: tyop_2Emin_2Efun(X0,X1),X11: tyop_2Emin_2Efun(X0,X1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9)) )
& p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) )
=> ( ? [X9: tyop_2Emin_2Efun(sK3,sK1),X8: tyop_2Emin_2Efun(sK1,sK3),X7: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool))] :
( ? [X11: tyop_2Emin_2Efun(sK0,sK1),X10: tyop_2Emin_2Efun(sK0,sK1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,X7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,X7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(sK1,sK3,X7,X8,X9)) )
& p(c_2Equotient_2EQUOTIENT_2E3(sK0,sK2,sK4,sK5,sK6)) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
( ? [X9: tyop_2Emin_2Efun(sK3,sK1),X8: tyop_2Emin_2Efun(sK1,sK3),X7: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool))] :
( ? [X11: tyop_2Emin_2Efun(sK0,sK1),X10: tyop_2Emin_2Efun(sK0,sK1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,X7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,X7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,X7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(sK1,sK3,X7,X8,X9)) )
=> ( ? [X11: tyop_2Emin_2Efun(sK0,sK1),X10: tyop_2Emin_2Efun(sK0,sK1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(sK1,sK3,sK7,sK8,sK9)) ) ),
introduced(choice_axiom,[]) ).
tff(f77,plain,
( ? [X11: tyop_2Emin_2Efun(sK0,sK1),X10: tyop_2Emin_2Efun(sK0,sK1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,X10,X11)) ) )
=> ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f74,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( ? [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( ? [X10: tyop_2Emin_2Efun(X0,X1),X11: tyop_2Emin_2Efun(X0,X1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9)) )
& p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) ),
inference(flattening,[],[f73]) ).
tff(f73,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( ? [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( ? [X10: tyop_2Emin_2Efun(X0,X1),X11: tyop_2Emin_2Efun(X0,X1)] :
( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) != c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) )
& ( ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10)) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9)) )
& p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) ),
inference(nnf_transformation,[],[f64]) ).
tff(f64,plain,
? [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( ? [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( ? [X10: tyop_2Emin_2Efun(X0,X1),X11: tyop_2Emin_2Efun(X0,X1)] :
( p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11))
<~> ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10)) ) )
& p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9)) )
& p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) ),
inference(ennf_transformation,[],[f45]) ).
tff(f45,plain,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6))
=> ! [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9))
=> ! [X10: tyop_2Emin_2Efun(X0,X1),X11: tyop_2Emin_2Efun(X0,X1)] :
( p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X4,X7,X10,X11))
<=> ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X10) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X6,X8,X11) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X11))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),X10)) ) ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X25: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X26: tyop_2Emin_2Efun(X0,X2),X27: tyop_2Emin_2Efun(X2,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X25,X26,X27))
=> ! [X28: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X29: tyop_2Emin_2Efun(X1,X3),X30: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X28,X29,X30))
=> ! [X31: tyop_2Emin_2Efun(X0,X1),X32: tyop_2Emin_2Efun(X0,X1)] :
( p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X25,X28,X31,X32))
<=> ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X27,X29,X31) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X27,X29,X32) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X25,X28),X32))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X25,X28),X31)) ) ) ) ),
inference(negated_conjecture,[],[f43]) ).
tff(f43,conjecture,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X25: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X26: tyop_2Emin_2Efun(X0,X2),X27: tyop_2Emin_2Efun(X2,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X25,X26,X27))
=> ! [X28: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X29: tyop_2Emin_2Efun(X1,X3),X30: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X28,X29,X30))
=> ! [X31: tyop_2Emin_2Efun(X0,X1),X32: tyop_2Emin_2Efun(X0,X1)] :
( p(c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X25,X28,X31,X32))
<=> ( ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X27,X29,X31) = c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X27,X29,X32) )
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X25,X28),X32))
& p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X25,X28),X31)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',thm_2Equotient_2EFUN__REL__EQ__REL) ).
tff(f248,plain,
( ! [X0: tyop_2Emin_2Efun(sK3,sK1)] : ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X0))
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f247,plain,
( spl13_6
<=> ! [X0: tyop_2Emin_2Efun(sK3,sK1)] : ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
tff(f1014,plain,
( spl13_3
| spl13_7
| spl13_8
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f634,f141,f991,f988,f149]) ).
tff(f149,plain,
( spl13_3
<=> p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
tff(f988,plain,
( spl13_7
<=> ! [X3: $tType,X4: tyop_2Emin_2Efun(sK0,X3),X5: tyop_2Emin_2Efun(X3,sK0)] : ~ p(app_2E2(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,X3),sK4),X4),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
tff(f991,plain,
( spl13_8
<=> ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,sK1),X1: tyop_2Emin_2Efun(sK1,X0)] : ~ p(app_2E2(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,X0),sK7),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
tff(f141,plain,
( spl13_1
<=> p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
tff(f634,plain,
( ! [X0: $tType,X3: $tType,X2: tyop_2Emin_2Efun(X0,sK1),X1: tyop_2Emin_2Efun(sK1,X0),X4: tyop_2Emin_2Efun(sK0,X3),X5: tyop_2Emin_2Efun(X3,sK0)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,X0),sK7),X1),X2))
| ~ p(app_2E2(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,X3),sK4),X4),X5))
| p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11)) )
| ~ spl13_1 ),
inference(resolution,[],[f633,f142]) ).
tff(f142,plain,
( p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f633,plain,
! [X5: $tType,X6: $tType,X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,X0),X10: tyop_2Emin_2Efun(X6,X1),X11: tyop_2Emin_2Efun(X6,X1),X8: tyop_2Emin_2Efun(X6,X5),X9: tyop_2Emin_2Efun(X5,X6),X7: tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X11))
| ~ p(app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X0),X2),X3),X4))
| ~ p(app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X6,X5),X7),X8),X9))
| p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X11)) ),
inference(forward_demodulation,[],[f199,f163]) ).
tff(f163,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,X2,X3) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),X2,X3),X3) ),
inference(superposition,[],[f116,f139]) ).
tff(f139,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( app_2E2(X0,X1,app_2E2(X0,tyop_2Emin_2Efun(X0,X1),X2,X3),X3) = app_2E2(X0,X1,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1),c_2Equotient_2Erespects_2E0(X0,X1),X2),X3) ),
inference(definition_unfolding,[],[f122,f123]) ).
tff(f123,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X2,X3) = app_2E2(X0,X1,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1),c_2Equotient_2Erespects_2E0(X0,X1),X2),X3) ),
inference(definition_unfolding,[],[f121,f120]) ).
tff(f120,plain,
! [X1: $tType,X0: $tType] : ( c_2Ecombin_2EW_2E0(X0,X1) = c_2Equotient_2Erespects_2E0(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
! [X0: $tType,X1: $tType] : ( c_2Ecombin_2EW_2E0(X0,X1) = c_2Equotient_2Erespects_2E0(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',thm_2Equotient_2Erespects__def) ).
tff(f121,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X2,X3) = app_2E2(X0,X1,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1),c_2Ecombin_2EW_2E0(X0,X1),X2),X3) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X2,X3) = app_2E2(X0,X1,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1),c_2Ecombin_2EW_2E0(X0,X1),X2),X3) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X0: $tType,X1: $tType,X13: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X14: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X13,X14) = app_2E2(X0,X1,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1),c_2Ecombin_2EW_2E0(X0,X1),X13),X14) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f122,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X2,X3) = app_2E2(X0,X1,app_2E2(X0,tyop_2Emin_2Efun(X0,X1),X2,X3),X3) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X3: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X2,X3) = app_2E2(X0,X1,app_2E2(X0,tyop_2Emin_2Efun(X0,X1),X2,X3),X3) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X0: $tType,X1: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X12: X0] : ( c_2Ecombin_2EW_2E2(X0,X1,X4,X12) = app_2E2(X0,X1,app_2E2(X0,tyop_2Emin_2Efun(X0,X1),X4,X12),X12) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',thm_2Ecombin_2EW__THM) ).
tff(f116,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,X2,X3) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(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(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),X2),X3) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,X2,X3) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(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(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),X2),X3) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X0: $tType,X1: $tType,X13: tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X14: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,X13,X14) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(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(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),X13),X14) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool) ).
tff(f199,plain,
! [X5: $tType,X6: $tType,X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,X0),X10: tyop_2Emin_2Efun(X6,X1),X11: tyop_2Emin_2Efun(X6,X1),X8: tyop_2Emin_2Efun(X6,X5),X9: tyop_2Emin_2Efun(X5,X6),X7: tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X0),X2),X3),X4))
| ~ p(app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X6,X5),X7),X8),X9))
| ~ p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X11))
| p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X11),X11)) ),
inference(resolution,[],[f130,f133]) ).
tff(f133,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6)) ),
inference(definition_unfolding,[],[f109,f113]) ).
tff(f109,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] :
( ! [X5: X0,X6: X0] :
( ( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X0,X1,X3,X5) != app_2E2(X0,X1,X3,X6) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) )
& ( ( ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) )
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6)) ) )
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(flattening,[],[f82]) ).
tff(f82,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] :
( ! [X5: X0,X6: X0] :
( ( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X0,X1,X3,X5) != app_2E2(X0,X1,X3,X6) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) )
& ( ( ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) )
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6)) ) )
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(nnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] :
( ! [X5: X0,X6: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
<=> ( ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) )
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) ) )
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(ennf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X1,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4))
=> ! [X5: X0,X6: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
<=> ( ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) )
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) ) ) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X0: $tType,X1: $tType,X20: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X21: tyop_2Emin_2Efun(X0,X1),X22: tyop_2Emin_2Efun(X1,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X20,X21,X22))
=> ! [X23: X0,X24: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X20,X23),X24))
<=> ( ( app_2E2(X0,X1,X21,X23) = app_2E2(X0,X1,X21,X24) )
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X20,X24),X24))
& p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X20,X23),X23)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',thm_2Equotient_2EQUOTIENT__REL) ).
tff(f130,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X8: tyop_2Emin_2Efun(X1,X3),X6: tyop_2Emin_2Efun(X2,X0),X9: tyop_2Emin_2Efun(X3,X1),X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2)] :
( p(app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Ebool),app_2E2(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(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(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(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(X0,X1),X4),X7)),app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X6),X8)),app_2E2(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),app_2E2(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1))),c_2Equotient_2E_2D_2D_3E_2E0(X0,X3,X2,X1),X5),X9)))
| ~ p(app_2E2(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X3),X7),X8),X9))
| ~ p(app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X2),X4),X5),X6)) ),
inference(definition_unfolding,[],[f105,f113,f106,f118,f118,f113,f113]) ).
tff(f118,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X4: tyop_2Emin_2Efun(X2,X0),X5: tyop_2Emin_2Efun(X1,X3)] : ( app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X4),X5) = c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X4,X5) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X2,X0),X5: tyop_2Emin_2Efun(X1,X3)] : ( app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X4),X5) = c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X4,X5) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X13: tyop_2Emin_2Efun(X2,X0),X14: tyop_2Emin_2Efun(X1,X3)] : ( c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X13,X14) = app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X13),X14) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
tff(f106,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))] : ( c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X2,X3) = app_2E2(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(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(X0,X1),X2),X3) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))] : ( c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X2,X3) = app_2E2(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(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(X0,X1),X2),X3) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X0: $tType,X1: $tType,X13: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X14: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))] : ( c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X13,X14) = app_2E2(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(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(X0,X1),X13),X14) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f105,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X8: tyop_2Emin_2Efun(X1,X3),X6: tyop_2Emin_2Efun(X2,X0),X9: tyop_2Emin_2Efun(X3,X1),X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2)] :
( p(c_2Equotient_2EQUOTIENT_2E3(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X6,X8),c_2Equotient_2E_2D_2D_3E_2E2(X0,X3,X2,X1,X5,X9)))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( ! [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X6,X8),c_2Equotient_2E_2D_2D_3E_2E2(X0,X3,X2,X1,X5,X9)))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9)) )
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6)) ),
inference(ennf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X5: tyop_2Emin_2Efun(X0,X2),X6: tyop_2Emin_2Efun(X2,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X4,X5,X6))
=> ! [X7: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X8: tyop_2Emin_2Efun(X1,X3),X9: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X7,X8,X9))
=> p(c_2Equotient_2EQUOTIENT_2E3(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X4,X7),c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X6,X8),c_2Equotient_2E_2D_2D_3E_2E2(X0,X3,X2,X1,X5,X9))) ) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X25: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X26: tyop_2Emin_2Efun(X0,X2),X27: tyop_2Emin_2Efun(X2,X0)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X0,X2,X25,X26,X27))
=> ! [X28: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X29: tyop_2Emin_2Efun(X1,X3),X30: tyop_2Emin_2Efun(X3,X1)] :
( p(c_2Equotient_2EQUOTIENT_2E3(X1,X3,X28,X29,X30))
=> p(c_2Equotient_2EQUOTIENT_2E3(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_3D_3D_3D_3E_2E2(X0,X1,X25,X28),c_2Equotient_2E_2D_2D_3E_2E2(X2,X1,X0,X3,X27,X29),c_2Equotient_2E_2D_2D_3E_2E2(X0,X3,X2,X1,X26,X30))) ) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',thm_2Equotient_2EFUN__QUOTIENT) ).
tff(f1012,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f1009]) ).
tff(f1009,plain,
( $false
| ~ spl13_8 ),
inference(resolution,[],[f992,f128]) ).
tff(f992,plain,
( ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,sK1),X1: tyop_2Emin_2Efun(sK1,X0)] : ~ p(app_2E2(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,X0),sK7),X1),X2))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f991]) ).
tff(f997,plain,
~ spl13_7,
inference(avatar_contradiction_clause,[],[f994]) ).
tff(f994,plain,
( $false
| ~ spl13_7 ),
inference(resolution,[],[f989,f129]) ).
tff(f129,plain,
p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),sK5),sK6)),
inference(definition_unfolding,[],[f86,f113]) ).
tff(f86,plain,
p(c_2Equotient_2EQUOTIENT_2E3(sK0,sK2,sK4,sK5,sK6)),
inference(cnf_transformation,[],[f78]) ).
tff(f989,plain,
( ! [X3: $tType,X4: tyop_2Emin_2Efun(sK0,X3),X5: tyop_2Emin_2Efun(X3,sK0)] : ~ p(app_2E2(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,X3),sK4),X4),X5))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f988]) ).
tff(f993,plain,
( spl13_2
| spl13_7
| spl13_8
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f628,f141,f991,f988,f145]) ).
tff(f145,plain,
( spl13_2
<=> p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
tff(f628,plain,
( ! [X0: $tType,X3: $tType,X2: tyop_2Emin_2Efun(X0,sK1),X1: tyop_2Emin_2Efun(sK1,X0),X4: tyop_2Emin_2Efun(sK0,X3),X5: tyop_2Emin_2Efun(X3,sK0)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,X0),sK7),X1),X2))
| ~ p(app_2E2(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,X3),sK4),X4),X5))
| p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10)) )
| ~ spl13_1 ),
inference(resolution,[],[f627,f142]) ).
tff(f627,plain,
! [X5: $tType,X6: $tType,X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,X0),X10: tyop_2Emin_2Efun(X6,X1),X11: tyop_2Emin_2Efun(X6,X1),X8: tyop_2Emin_2Efun(X6,X5),X9: tyop_2Emin_2Efun(X5,X6),X7: tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X11))
| ~ p(app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X0),X2),X3),X4))
| ~ p(app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X6,X5),X7),X8),X9))
| p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10)) ),
inference(forward_demodulation,[],[f198,f163]) ).
tff(f198,plain,
! [X5: $tType,X6: $tType,X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,X0),X10: tyop_2Emin_2Efun(X6,X1),X11: tyop_2Emin_2Efun(X6,X1),X8: tyop_2Emin_2Efun(X6,X5),X9: tyop_2Emin_2Efun(X5,X6),X7: tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X0),X2),X3),X4))
| ~ p(app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X6,X5),X7),X8),X9))
| ~ p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X11))
| p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X10)) ),
inference(resolution,[],[f130,f134]) ).
tff(f134,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5)) ),
inference(definition_unfolding,[],[f108,f113]) ).
tff(f108,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f986,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f985]) ).
tff(f985,plain,
( $false
| ~ spl13_5 ),
inference(resolution,[],[f245,f129]) ).
tff(f245,plain,
( ! [X1: tyop_2Emin_2Efun(sK0,sK2)] : ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X1),sK6))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f244]) ).
tff(f244,plain,
( spl13_5
<=> ! [X1: tyop_2Emin_2Efun(sK0,sK2)] : ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X1),sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
tff(f937,plain,
( spl13_6
| spl13_5
| ~ spl13_1
| spl13_4 ),
inference(avatar_split_clause,[],[f936,f153,f141,f244,f247]) ).
tff(f153,plain,
( spl13_4
<=> ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) = app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
tff(f936,plain,
( ! [X0: tyop_2Emin_2Efun(sK0,sK2),X1: tyop_2Emin_2Efun(sK3,sK1)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X0),sK6))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X1)) )
| ~ spl13_1
| spl13_4 ),
inference(resolution,[],[f920,f142]) ).
tff(f920,plain,
( ! [X2: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(sK3,sK1),X0: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1: tyop_2Emin_2Efun(sK0,sK2)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),X0),X2),sK10),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),X0),X1),sK6))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),X2),sK8),X3)) )
| spl13_4 ),
inference(equality_resolution,[],[f833]) ).
tff(f833,plain,
( ! [X2: tyop_2Emin_2Efun(sK0,sK2),X3: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X0: tyop_2Emin_2Efun(sK0,sK1),X1: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(sK3,sK1)] :
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),X0) )
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),X1),X2),sK6))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),X1),X3),X0),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),X3),sK8),X4)) )
| spl13_4 ),
inference(superposition,[],[f155,f200]) ).
tff(f200,plain,
! [X5: $tType,X6: $tType,X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,X0),X10: tyop_2Emin_2Efun(X6,X1),X11: tyop_2Emin_2Efun(X6,X1),X8: tyop_2Emin_2Efun(X6,X5),X9: tyop_2Emin_2Efun(X5,X6),X7: tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1)] :
( ( app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0),app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0)),app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0))),c_2Equotient_2E_2D_2D_3E_2E0(X5,X1,X6,X0),X9),X3),X10) = app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0),app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0)),app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(X5,X0))),c_2Equotient_2E_2D_2D_3E_2E0(X5,X1,X6,X0),X9),X3),X11) )
| ~ p(app_2E2(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X5,X6),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X6,X5),X7),X8),X9))
| ~ p(app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(X6,X1),X7),X2),X10),X11))
| ~ p(app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X1,X0),X2),X3),X4)) ),
inference(resolution,[],[f130,f132]) ).
tff(f132,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( ~ p(app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) ) ),
inference(definition_unfolding,[],[f110,f113]) ).
tff(f110,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( ( app_2E2(X0,X1,X3,X5) = app_2E2(X0,X1,X3,X6) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f155,plain,
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK11) )
| spl13_4 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f249,plain,
( spl13_5
| spl13_6
| spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f242,f153,f149,f145,f141,f247,f244]) ).
tff(f242,plain,
( ! [X0: tyop_2Emin_2Efun(sK3,sK1),X1: tyop_2Emin_2Efun(sK0,sK2)] :
( ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X0))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X1),sK6)) )
| spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f241,f150]) ).
tff(f150,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f241,plain,
( ! [X0: tyop_2Emin_2Efun(sK3,sK1),X1: tyop_2Emin_2Efun(sK0,sK2)] :
( ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X0))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X1),sK6)) )
| spl13_1
| ~ spl13_2
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f240,f146]) ).
tff(f146,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f240,plain,
( ! [X0: tyop_2Emin_2Efun(sK3,sK1),X1: tyop_2Emin_2Efun(sK0,sK2)] :
( ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),sK7),sK8),X0))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),sK4),X1),sK6)) )
| spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f239,f143]) ).
tff(f143,plain,
( ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11))
| spl13_1 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f239,plain,
( ! [X2: tyop_2Emin_2Efun(sK3,sK1),X3: tyop_2Emin_2Efun(sK0,sK2),X0: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool))] :
( p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),X0),X1),sK10),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),X0),X1),sK10))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),X0),X1),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK3,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK1,sK3),X1),sK8),X2))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(sK0,sK2),X0),X3),sK6)) )
| ~ spl13_4 ),
inference(resolution,[],[f235,f130]) ).
tff(f235,plain,
( ! [X0: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),X1: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1))] :
( ~ p(app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),X0),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8)),X1))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,X0,sK10))
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X0,sK10),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,X0,sK11)) )
| ~ spl13_4 ),
inference(equality_resolution,[],[f233]) ).
tff(f233,plain,
( ! [X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),X0: tyop_2Emin_2Efun(sK0,sK1),X1: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))] :
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),X0) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,X1,sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,X1,X0))
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,X0),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),X1),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8)),X2)) )
| ~ spl13_4 ),
inference(forward_demodulation,[],[f232,f163]) ).
tff(f232,plain,
( ! [X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),X0: tyop_2Emin_2Efun(sK0,sK1),X1: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))] :
( ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,X1,sK11))
| ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),X0) )
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,X0),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,X0),X0))
| ~ p(app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),X1),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8)),X2)) )
| ~ spl13_4 ),
inference(forward_demodulation,[],[f189,f163]) ).
tff(f189,plain,
( ! [X2: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),X0: tyop_2Emin_2Efun(sK0,sK1),X1: tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))] :
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),X0) )
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,X0),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,sK11),sK11))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),X1,X0),X0))
| ~ p(app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK2,sK3),tyop_2Emin_2Efun(sK0,sK1)),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),X1),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8)),X2)) )
| ~ spl13_4 ),
inference(superposition,[],[f131,f154]) ).
tff(f154,plain,
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) = app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK11) )
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f131,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( ( app_2E2(X0,X1,X3,X5) != app_2E2(X0,X1,X3,X6) )
| p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5))
| ~ p(app_2E2(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X0),tyop_2Emin_2Ebool)),c_2Equotient_2EQUOTIENT_2E0(X0,X1),X2),X3),X4)) ),
inference(definition_unfolding,[],[f111,f113]) ).
tff(f111,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X0,X1),X6: X0,X4: tyop_2Emin_2Efun(X1,X0),X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X6))
| ( app_2E2(X0,X1,X3,X5) != app_2E2(X0,X1,X3,X6) )
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X6),X6))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2,X5),X5))
| ~ p(c_2Equotient_2EQUOTIENT_2E3(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f83]) ).
tff(f159,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f127,f145,f141]) ).
tff(f127,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10))
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11)) ),
inference(definition_unfolding,[],[f88,f106,f107]) ).
tff(f107,plain,
! [X1: $tType,X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1),X5: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X2,X3,X4,X5) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(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(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(X0,X1),X2),X3),X4),X5) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4: tyop_2Emin_2Efun(X0,X1),X5: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X2,X3,X4,X5) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(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(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(X0,X1),X2),X3),X4),X5) ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X0: $tType,X1: $tType,X13: tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X14: tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X15: tyop_2Emin_2Efun(X0,X1),X16: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2E_3D_3D_3D_3E_2E4(X0,X1,X13,X14,X15,X16) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(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(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(X0,X1),X13),X14),X15),X16) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f88,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10))
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f158,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f126,f149,f141]) ).
tff(f126,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11))
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11)) ),
inference(definition_unfolding,[],[f89,f106,f107]) ).
tff(f89,plain,
( p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f157,plain,
( spl13_1
| spl13_4 ),
inference(avatar_split_clause,[],[f125,f153,f141]) ).
tff(f125,plain,
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) = app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK11) )
| p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11)) ),
inference(definition_unfolding,[],[f90,f104,f104,f107]) ).
tff(f104,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X6: tyop_2Emin_2Efun(X0,X1),X4: tyop_2Emin_2Efun(X2,X0),X5: tyop_2Emin_2Efun(X1,X3)] : ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X4,X5,X6) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X4),X5),X6) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: tyop_2Emin_2Efun(X2,X0),X5: tyop_2Emin_2Efun(X1,X3),X6: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X4,X5,X6) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X4),X5),X6) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: $tType,X13: tyop_2Emin_2Efun(X2,X0),X14: tyop_2Emin_2Efun(X1,X3),X15: tyop_2Emin_2Efun(X0,X1)] : ( c_2Equotient_2E_2D_2D_3E_2E3(X2,X1,X0,X3,X13,X14,X15) = app_2E2(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3),app_2E2(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),c_2Equotient_2E_2D_2D_3E_2E0(X2,X1,X0,X3),X13),X14),X15) ),
file('/export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276',arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
tff(f90,plain,
( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) = c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
| p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f156,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f124,f153,f149,f145,f141]) ).
tff(f124,plain,
( ( app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK10) != app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3),app_2E2(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3)),app_2E2(tyop_2Emin_2Efun(sK2,sK0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,sK3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(sK2,sK3))),c_2Equotient_2E_2D_2D_3E_2E0(sK2,sK1,sK0,sK3),sK6),sK8),sK11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10))
| ~ p(app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool))),c_2Equotient_2E_3D_3D_3D_3E_2E0(sK0,sK1),sK4),sK7),sK10),sK11)) ),
inference(definition_unfolding,[],[f91,f104,f104,f106,f106,f107]) ).
tff(f91,plain,
( ( c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK10) != c_2Equotient_2E_2D_2D_3E_2E3(sK2,sK1,sK0,sK3,sK6,sK8,sK11) )
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK11))
| ~ p(c_2Equotient_2Erespects_2E2(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E2(sK0,sK1,sK4,sK7),sK10))
| ~ p(c_2Equotient_2E_3D_3D_3D_3E_2E4(sK0,sK1,sK4,sK7,sK10,sK11)) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : ITP009_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.38 % Computer : n022.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri May 3 18:55:53 EDT 2024
% 0.13/0.38 % CPUTime :
% 0.13/0.38 This is a TF1_THM_EQU_NAR problem
% 0.13/0.39 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276
% 0.57/0.85 % (28389)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.85 % (28388)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.85 % (28387)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.85 % (28386)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.86 % (28385)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.57/0.86 % (28391)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.57/0.86 % (28390)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.57/0.86 % (28388)Refutation not found, incomplete strategy% (28388)------------------------------
% 0.57/0.86 % (28388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.86 % (28388)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.86
% 0.57/0.86 % (28388)Memory used [KB]: 1182
% 0.57/0.86 % (28388)Time elapsed: 0.006 s
% 0.57/0.86 % (28388)Instructions burned: 10 (million)
% 0.57/0.86 % (28390)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.86 % (28391)Refutation not found, incomplete strategy% (28391)------------------------------
% 0.57/0.86 % (28391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.86 % (28391)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.86
% 0.57/0.86 % (28391)Memory used [KB]: 1130
% 0.57/0.86 % (28391)Time elapsed: 0.005 s
% 0.57/0.86 % (28391)Instructions burned: 8 (million)
% 0.57/0.86 % (28388)------------------------------
% 0.57/0.86 % (28388)------------------------------
% 0.57/0.86 % (28391)------------------------------
% 0.57/0.86 % (28391)------------------------------
% 0.57/0.86 % (28389)Refutation not found, incomplete strategy% (28389)------------------------------
% 0.57/0.86 % (28389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.86 % (28389)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.86
% 0.57/0.86 % (28389)Memory used [KB]: 1144
% 0.57/0.86 % (28389)Time elapsed: 0.007 s
% 0.57/0.86 % (28389)Instructions burned: 12 (million)
% 0.66/0.86 % (28384)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.66/0.86 % (28389)------------------------------
% 0.66/0.86 % (28389)------------------------------
% 0.66/0.86 % (28390)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.86 % (28392)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.66/0.86 % (28393)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.66/0.86 % (28394)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.66/0.87 % (28387)Instruction limit reached!
% 0.66/0.87 % (28387)------------------------------
% 0.66/0.87 % (28387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87 % (28387)Termination reason: Unknown
% 0.66/0.87 % (28387)Termination phase: Saturation
% 0.66/0.87
% 0.66/0.87 % (28387)Memory used [KB]: 1701
% 0.66/0.87 % (28387)Time elapsed: 0.018 s
% 0.66/0.87 % (28387)Instructions burned: 34 (million)
% 0.66/0.87 % (28387)------------------------------
% 0.66/0.87 % (28387)------------------------------
% 0.66/0.87 % (28384)Instruction limit reached!
% 0.66/0.87 % (28384)------------------------------
% 0.66/0.87 % (28384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.87 % (28384)Termination reason: Unknown
% 0.66/0.87 % (28384)Termination phase: Saturation
% 0.66/0.87
% 0.66/0.87 % (28384)Memory used [KB]: 1293
% 0.66/0.87 % (28384)Time elapsed: 0.018 s
% 0.66/0.87 % (28384)Instructions burned: 35 (million)
% 0.66/0.88 % (28384)------------------------------
% 0.66/0.88 % (28384)------------------------------
% 0.66/0.88 % (28395)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.66/0.88 % (28385)Instruction limit reached!
% 0.66/0.88 % (28385)------------------------------
% 0.66/0.88 % (28385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.88 % (28385)Termination reason: Unknown
% 0.66/0.88 % (28385)Termination phase: Saturation
% 0.66/0.88
% 0.66/0.88 % (28385)Memory used [KB]: 1576
% 0.66/0.88 % (28385)Time elapsed: 0.028 s
% 0.66/0.88 % (28385)Instructions burned: 52 (million)
% 0.66/0.88 % (28385)------------------------------
% 0.66/0.88 % (28385)------------------------------
% 0.66/0.88 % (28393)Instruction limit reached!
% 0.66/0.88 % (28393)------------------------------
% 0.66/0.88 % (28393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.88 % (28393)Termination reason: Unknown
% 0.66/0.88 % (28393)Termination phase: Saturation
% 0.66/0.88
% 0.66/0.88 % (28393)Memory used [KB]: 1553
% 0.66/0.88 % (28393)Time elapsed: 0.022 s
% 0.66/0.88 % (28393)Instructions burned: 50 (million)
% 0.66/0.88 % (28393)------------------------------
% 0.66/0.88 % (28393)------------------------------
% 0.66/0.88 % (28397)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.66/0.88 % (28396)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.66/0.89 % (28386)Instruction limit reached!
% 0.66/0.89 % (28386)------------------------------
% 0.66/0.89 % (28386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.89 % (28386)Termination reason: Unknown
% 0.66/0.89 % (28386)Termination phase: Saturation
% 0.66/0.89
% 0.66/0.89 % (28386)Memory used [KB]: 1427
% 0.66/0.89 % (28386)Time elapsed: 0.036 s
% 0.66/0.89 % (28386)Instructions burned: 78 (million)
% 0.66/0.89 % (28386)------------------------------
% 0.66/0.89 % (28386)------------------------------
% 0.66/0.89 % (28398)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.66/0.89 % (28398)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.89 % (28392)Instruction limit reached!
% 0.66/0.89 % (28392)------------------------------
% 0.66/0.89 % (28392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.89 % (28392)Termination reason: Unknown
% 0.66/0.89 % (28392)Termination phase: Saturation
% 0.66/0.89
% 0.66/0.89 % (28392)Memory used [KB]: 1379
% 0.66/0.89 % (28392)Time elapsed: 0.029 s
% 0.66/0.89 % (28392)Instructions burned: 56 (million)
% 0.66/0.89 % (28392)------------------------------
% 0.66/0.89 % (28392)------------------------------
% 0.80/0.89 % (28396)Refutation not found, incomplete strategy% (28396)------------------------------
% 0.80/0.89 % (28396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.89 % (28396)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.89
% 0.80/0.89 % (28396)Memory used [KB]: 1192
% 0.80/0.89 % (28396)Time elapsed: 0.009 s
% 0.80/0.89 % (28396)Instructions burned: 16 (million)
% 0.80/0.89 % (28396)------------------------------
% 0.80/0.89 % (28396)------------------------------
% 0.80/0.89 % (28399)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.80/0.89 % (28400)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.80/0.89 % (28400)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.80/0.89 % (28399)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.80/0.89 % (28401)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.80/0.90 % (28401)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.80/0.90 % (28395)Instruction limit reached!
% 0.80/0.90 % (28395)------------------------------
% 0.80/0.90 % (28395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.90 % (28395)Termination reason: Unknown
% 0.80/0.90 % (28395)Termination phase: Saturation
% 0.80/0.90
% 0.80/0.90 % (28395)Memory used [KB]: 1374
% 0.80/0.90 % (28395)Time elapsed: 0.023 s
% 0.80/0.90 % (28395)Instructions burned: 52 (million)
% 0.80/0.90 % (28395)------------------------------
% 0.80/0.90 % (28395)------------------------------
% 0.80/0.90 % (28390)Instruction limit reached!
% 0.80/0.90 % (28390)------------------------------
% 0.80/0.90 % (28390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.90 % (28390)Termination reason: Unknown
% 0.80/0.90 % (28390)Termination phase: Saturation
% 0.80/0.90
% 0.80/0.90 % (28390)Memory used [KB]: 1380
% 0.80/0.90 % (28390)Time elapsed: 0.045 s
% 0.80/0.90 % (28390)Instructions burned: 84 (million)
% 0.80/0.90 % (28390)------------------------------
% 0.80/0.90 % (28390)------------------------------
% 0.80/0.90 % (28402)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.80/0.90 % (28402)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.80/0.90 % (28397)Instruction limit reached!
% 0.80/0.90 % (28397)------------------------------
% 0.80/0.90 % (28397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.90 % (28397)Termination reason: Unknown
% 0.80/0.90 % (28397)Termination phase: Saturation
% 0.80/0.90
% 0.80/0.90 % (28397)Memory used [KB]: 1872
% 0.80/0.90 % (28397)Time elapsed: 0.022 s
% 0.80/0.90 % (28397)Instructions burned: 43 (million)
% 0.80/0.90 % (28397)------------------------------
% 0.80/0.90 % (28397)------------------------------
% 0.80/0.90 % (28403)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.80/0.91 % (28403)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.80/0.91 % (28404)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.80/0.92 % (28403)Instruction limit reached!
% 0.80/0.92 % (28403)------------------------------
% 0.80/0.92 % (28403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.92 % (28403)Termination reason: Unknown
% 0.80/0.92 % (28403)Termination phase: Saturation
% 0.80/0.92
% 0.80/0.92 % (28403)Memory used [KB]: 1347
% 0.80/0.92 % (28403)Time elapsed: 0.021 s
% 0.80/0.92 % (28403)Instructions burned: 33 (million)
% 0.80/0.92 % (28403)------------------------------
% 0.80/0.92 % (28403)------------------------------
% 0.97/0.93 % (28405)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.97/0.93 % (28405)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.97/0.93 % (28394)Instruction limit reached!
% 0.97/0.93 % (28394)------------------------------
% 0.97/0.93 % (28394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.93 % (28394)Termination reason: Unknown
% 0.97/0.93 % (28394)Termination phase: Saturation
% 0.97/0.93
% 0.97/0.93 % (28394)Memory used [KB]: 1590
% 0.97/0.93 % (28394)Time elapsed: 0.068 s
% 0.97/0.93 % (28394)Instructions burned: 210 (million)
% 0.97/0.93 % (28394)------------------------------
% 0.97/0.93 % (28394)------------------------------
% 0.97/0.93 % (28402)Instruction limit reached!
% 0.97/0.93 % (28402)------------------------------
% 0.97/0.93 % (28402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.93 % (28402)Termination reason: Unknown
% 0.97/0.93 % (28402)Termination phase: Saturation
% 0.97/0.93
% 0.97/0.93 % (28402)Memory used [KB]: 2299
% 0.97/0.93 % (28402)Time elapsed: 0.031 s
% 0.97/0.93 % (28402)Instructions burned: 62 (million)
% 0.97/0.93 % (28402)------------------------------
% 0.97/0.93 % (28402)------------------------------
% 1.06/0.93 % (28406)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.06/0.93 % (28407)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.06/0.93 % (28406)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.94 % (28407)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.94 % (28401)Instruction limit reached!
% 1.06/0.94 % (28401)------------------------------
% 1.06/0.94 % (28401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.94 % (28401)Termination reason: Unknown
% 1.06/0.94 % (28401)Termination phase: Saturation
% 1.06/0.94
% 1.06/0.94 % (28401)Memory used [KB]: 1769
% 1.06/0.94 % (28401)Time elapsed: 0.046 s
% 1.06/0.94 % (28401)Instructions burned: 95 (million)
% 1.06/0.94 % (28401)------------------------------
% 1.06/0.94 % (28401)------------------------------
% 1.06/0.94 % (28399)Instruction limit reached!
% 1.06/0.94 % (28399)------------------------------
% 1.06/0.94 % (28399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.94 % (28399)Termination reason: Unknown
% 1.06/0.94 % (28399)Termination phase: Saturation
% 1.06/0.94
% 1.06/0.94 % (28399)Memory used [KB]: 1769
% 1.06/0.94 % (28399)Time elapsed: 0.051 s
% 1.06/0.94 % (28399)Instructions burned: 117 (million)
% 1.06/0.94 % (28399)------------------------------
% 1.06/0.94 % (28399)------------------------------
% 1.06/0.94 % (28407)Refutation not found, incomplete strategy% (28407)------------------------------
% 1.06/0.94 % (28407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.94 % (28407)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.94
% 1.06/0.94 % (28407)Memory used [KB]: 1241
% 1.06/0.94 % (28407)Time elapsed: 0.010 s
% 1.06/0.94 % (28407)Instructions burned: 15 (million)
% 1.06/0.94 % (28407)------------------------------
% 1.06/0.94 % (28407)------------------------------
% 1.06/0.94 % (28409)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.06/0.95 % (28410)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.06/0.95 % (28410)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.95 % (28408)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.06/0.95 % (28405)Instruction limit reached!
% 1.06/0.95 % (28405)------------------------------
% 1.06/0.95 % (28405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.95 % (28405)Termination reason: Unknown
% 1.06/0.95 % (28405)Termination phase: Saturation
% 1.06/0.95
% 1.06/0.95 % (28405)Memory used [KB]: 2203
% 1.06/0.95 % (28405)Time elapsed: 0.021 s
% 1.06/0.95 % (28405)Instructions burned: 56 (million)
% 1.06/0.95 % (28405)------------------------------
% 1.06/0.95 % (28405)------------------------------
% 1.06/0.95 % (28411)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.06/0.95 % (28406)Instruction limit reached!
% 1.06/0.95 % (28406)------------------------------
% 1.06/0.95 % (28406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.95 % (28406)Termination reason: Unknown
% 1.06/0.95 % (28406)Termination phase: Saturation
% 1.06/0.95
% 1.06/0.95 % (28406)Memory used [KB]: 1786
% 1.06/0.95 % (28406)Time elapsed: 0.023 s
% 1.06/0.95 % (28406)Instructions burned: 55 (million)
% 1.06/0.95 % (28406)------------------------------
% 1.06/0.95 % (28406)------------------------------
% 1.06/0.96 % (28409)Instruction limit reached!
% 1.06/0.96 % (28409)------------------------------
% 1.06/0.96 % (28409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.96 % (28409)Termination reason: Unknown
% 1.06/0.96 % (28409)Termination phase: Saturation
% 1.06/0.96
% 1.06/0.96 % (28409)Memory used [KB]: 1552
% 1.06/0.96 % (28409)Time elapsed: 0.020 s
% 1.06/0.96 % (28409)Instructions burned: 36 (million)
% 1.06/0.96 % (28409)------------------------------
% 1.06/0.96 % (28409)------------------------------
% 1.06/0.96 % (28400)Instruction limit reached!
% 1.06/0.96 % (28400)------------------------------
% 1.06/0.96 % (28400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.97 % (28400)Termination reason: Unknown
% 1.06/0.97 % (28400)Termination phase: Saturation
% 1.06/0.97
% 1.06/0.97 % (28400)Memory used [KB]: 1947
% 1.06/0.97 % (28400)Time elapsed: 0.075 s
% 1.06/0.97 % (28400)Instructions burned: 144 (million)
% 1.06/0.97 % (28400)------------------------------
% 1.06/0.97 % (28400)------------------------------
% 1.06/0.97 % (28412)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.06/0.97 % (28413)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.06/0.97 % (28413)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.97 % (28414)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.06/0.97 % (28412)Refutation not found, incomplete strategy% (28412)------------------------------
% 1.06/0.97 % (28412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.97 % (28412)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.97
% 1.06/0.97 % (28412)Memory used [KB]: 1187
% 1.06/0.97 % (28412)Time elapsed: 0.007 s
% 1.06/0.97 % (28412)Instructions burned: 11 (million)
% 1.06/0.97 % (28412)------------------------------
% 1.06/0.97 % (28412)------------------------------
% 1.06/0.98 % (28415)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.06/0.98 % (28411)Instruction limit reached!
% 1.06/0.98 % (28411)------------------------------
% 1.06/0.98 % (28411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.98 % (28411)Termination reason: Unknown
% 1.06/0.98 % (28411)Termination phase: Saturation
% 1.06/0.98
% 1.06/0.98 % (28411)Memory used [KB]: 1771
% 1.06/0.98 % (28411)Time elapsed: 0.034 s
% 1.06/0.98 % (28411)Instructions burned: 110 (million)
% 1.06/0.98 % (28411)------------------------------
% 1.06/0.98 % (28411)------------------------------
% 1.06/0.99 % (28410)Instruction limit reached!
% 1.06/0.99 % (28410)------------------------------
% 1.06/0.99 % (28410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.99 % (28410)Termination reason: Unknown
% 1.06/0.99 % (28410)Termination phase: Saturation
% 1.06/0.99
% 1.06/0.99 % (28410)Memory used [KB]: 1587
% 1.06/0.99 % (28410)Time elapsed: 0.043 s
% 1.06/0.99 % (28410)Instructions burned: 88 (million)
% 1.06/0.99 % (28410)------------------------------
% 1.06/0.99 % (28410)------------------------------
% 1.06/0.99 % (28398)Instruction limit reached!
% 1.06/0.99 % (28398)------------------------------
% 1.06/0.99 % (28398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.99 % (28398)Termination reason: Unknown
% 1.06/0.99 % (28398)Termination phase: Saturation
% 1.06/0.99
% 1.06/0.99 % (28398)Memory used [KB]: 1987
% 1.06/0.99 % (28398)Time elapsed: 0.103 s
% 1.06/0.99 % (28398)Instructions burned: 244 (million)
% 1.06/0.99 % (28398)------------------------------
% 1.06/0.99 % (28398)------------------------------
% 1.06/0.99 % (28408)Instruction limit reached!
% 1.06/0.99 % (28408)------------------------------
% 1.06/0.99 % (28408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.99 % (28408)Termination reason: Unknown
% 1.06/0.99 % (28408)Termination phase: Saturation
% 1.06/0.99
% 1.06/0.99 % (28408)Memory used [KB]: 1520
% 1.06/0.99 % (28408)Time elapsed: 0.045 s
% 1.06/0.99 % (28408)Instructions burned: 103 (million)
% 1.06/0.99 % (28408)------------------------------
% 1.06/0.99 % (28408)------------------------------
% 1.06/0.99 % (28416)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.06/0.99 % (28416)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.99 % (28418)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.06/0.99 % (28414)Instruction limit reached!
% 1.06/0.99 % (28414)------------------------------
% 1.06/0.99 % (28414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.99 % (28414)Termination reason: Unknown
% 1.06/0.99 % (28414)Termination phase: Saturation
% 1.06/0.99
% 1.06/0.99 % (28414)Memory used [KB]: 1469
% 1.06/0.99 % (28414)Time elapsed: 0.024 s
% 1.06/0.99 % (28414)Instructions burned: 41 (million)
% 1.06/0.99 % (28414)------------------------------
% 1.06/0.99 % (28414)------------------------------
% 1.06/0.99 % (28418)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.06/0.99 % (28417)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.06/1.00 % (28420)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.06/1.00 % (28413)Instruction limit reached!
% 1.06/1.00 % (28413)------------------------------
% 1.06/1.00 % (28413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/1.00 % (28413)Termination reason: Unknown
% 1.06/1.00 % (28413)Termination phase: Saturation
% 1.06/1.00
% 1.06/1.00 % (28413)Memory used [KB]: 1865
% 1.06/1.00 % (28413)Time elapsed: 0.037 s
% 1.06/1.00 % (28413)Instructions burned: 69 (million)
% 1.06/1.00 % (28413)------------------------------
% 1.06/1.00 % (28413)------------------------------
% 1.63/1.00 % (28418)Instruction limit reached!
% 1.63/1.00 % (28418)------------------------------
% 1.63/1.00 % (28418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.00 % (28418)Termination reason: Unknown
% 1.63/1.00 % (28418)Termination phase: Saturation
% 1.63/1.00
% 1.63/1.00 % (28418)Memory used [KB]: 1660
% 1.63/1.00 % (28418)Time elapsed: 0.014 s
% 1.63/1.00 % (28418)Instructions burned: 37 (million)
% 1.63/1.00 % (28418)------------------------------
% 1.63/1.00 % (28418)------------------------------
% 1.63/1.00 % (28421)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.63/1.01 % (28422)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.63/1.01 % (28419)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.63/1.01 % (28419)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.63/1.01 % (28422)Refutation not found, incomplete strategy% (28422)------------------------------
% 1.63/1.01 % (28422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.01 % (28422)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.01
% 1.63/1.01 % (28422)Memory used [KB]: 1118
% 1.63/1.01 % (28422)Time elapsed: 0.003 s
% 1.63/1.01 % (28422)Instructions burned: 8 (million)
% 1.63/1.01 % (28422)------------------------------
% 1.63/1.01 % (28422)------------------------------
% 1.63/1.01 % (28423)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.63/1.02 % (28421)Instruction limit reached!
% 1.63/1.02 % (28421)------------------------------
% 1.63/1.02 % (28421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.02 % (28421)Termination reason: Unknown
% 1.63/1.02 % (28421)Termination phase: Saturation
% 1.63/1.02
% 1.63/1.02 % (28421)Memory used [KB]: 1463
% 1.63/1.02 % (28421)Time elapsed: 0.019 s
% 1.63/1.02 % (28417)Instruction limit reached!
% 1.63/1.02 % (28417)------------------------------
% 1.63/1.02 % (28417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.02 % (28421)Instructions burned: 33 (million)
% 1.63/1.02 % (28421)------------------------------
% 1.63/1.02 % (28421)------------------------------
% 1.63/1.02 % (28417)Termination reason: Unknown
% 1.63/1.02 % (28417)Termination phase: Saturation
% 1.63/1.02
% 1.63/1.02 % (28417)Memory used [KB]: 1309
% 1.63/1.02 % (28417)Time elapsed: 0.031 s
% 1.63/1.02 % (28417)Instructions burned: 82 (million)
% 1.63/1.02 % (28417)------------------------------
% 1.63/1.02 % (28417)------------------------------
% 1.63/1.02 % (28420)Instruction limit reached!
% 1.63/1.02 % (28420)------------------------------
% 1.63/1.02 % (28420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.02 % (28420)Termination reason: Unknown
% 1.63/1.02 % (28420)Termination phase: Saturation
% 1.63/1.02
% 1.63/1.02 % (28420)Memory used [KB]: 1582
% 1.63/1.02 % (28420)Time elapsed: 0.028 s
% 1.63/1.02 % (28420)Instructions burned: 48 (million)
% 1.63/1.02 % (28420)------------------------------
% 1.63/1.02 % (28420)------------------------------
% 1.63/1.03 % (28424)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.63/1.03 % (28426)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 1.63/1.03 % (28424)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.63/1.03 % (28425)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 1.63/1.03 % (28423)Instruction limit reached!
% 1.63/1.03 % (28423)------------------------------
% 1.63/1.03 % (28423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.03 % (28423)Termination reason: Unknown
% 1.63/1.03 % (28423)Termination phase: Saturation
% 1.63/1.03
% 1.63/1.03 % (28423)Memory used [KB]: 2298
% 1.63/1.03 % (28423)Time elapsed: 0.018 s
% 1.63/1.03 % (28423)Instructions burned: 54 (million)
% 1.63/1.03 % (28423)------------------------------
% 1.63/1.03 % (28423)------------------------------
% 1.63/1.03 % (28404)First to succeed.
% 1.63/1.03 % (28427)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 1.63/1.03 % (28419)Instruction limit reached!
% 1.63/1.03 % (28419)------------------------------
% 1.63/1.03 % (28419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.03 % (28419)Termination reason: Unknown
% 1.63/1.03 % (28419)Termination phase: Saturation
% 1.63/1.03
% 1.63/1.03 % (28419)Memory used [KB]: 1323
% 1.63/1.03 % (28419)Time elapsed: 0.054 s
% 1.63/1.03 % (28419)Instructions burned: 57 (million)
% 1.63/1.03 % (28419)------------------------------
% 1.63/1.03 % (28419)------------------------------
% 1.63/1.03 28427 Aborted by signal SIGSEGV on /export/starexec/sandbox/tmp/tmp.DQplhlJlnC/Vampire---4.8_28276
% 1.63/1.03 % (28427)------------------------------
% 1.63/1.03 % (28427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.03 % (28427)Termination reason: Unknown
% 1.63/1.03 % (28427)Termination phase: Saturation
% 1.63/1.03
% 1.63/1.03 % (28427)Memory used [KB]: 1188
% 1.63/1.03 % (28427)Time elapsed: 0.003 s
% 1.63/1.03 % (28427)Instructions burned: 7 (million)
% 1.63/1.03 % (28427)------------------------------
% 1.63/1.03 % (28427)------------------------------
% 1.63/1.03 Version : Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.03 ???
% 1.63/1.04 % (28429)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2993ds/51Mi)
% 1.63/1.04 % (28404)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28383"
% 1.63/1.04 % (28428)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2993ds/49Mi)
% 1.63/1.04 % (28404)Refutation found. Thanks to Tanya!
% 1.63/1.04 % SZS status Theorem for Vampire---4
% 1.63/1.04 % SZS output start Proof for Vampire---4
% See solution above
% 1.63/1.04 % (28404)------------------------------
% 1.63/1.04 % (28404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.63/1.04 % (28404)Termination reason: Refutation
% 1.63/1.04
% 1.63/1.04 % (28404)Memory used [KB]: 1679
% 1.63/1.04 % (28404)Time elapsed: 0.126 s
% 1.63/1.04 % (28404)Instructions burned: 302 (million)
% 1.63/1.04 % (28383)Success in time 0.631 s
% 1.63/1.04 % Vampire---4.8 exiting
%------------------------------------------------------------------------------