%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP033^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:23:40 AM UTC 2026
% Result : Theorem 2.31s 0.65s
% Output : CNFRefutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 11
% Syntax : Number of formulae : 256 ( 68 unt; 0 typ; 0 def)
% Number of atoms : 2584 (1075 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 4915 (1308 ~; 874 |; 18 &;2691 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 212 ( 212 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 8 con; 0-4 aty)
% Number of variables : 802 ( 38 ^; 764 !; 0 ?; 802 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_binary1439146945Tree_a,type,
binary1439146945Tree_a: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_produc376588196ee_a_a,type,
produc376588196ee_a_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_binary1217730267_wrm_a,type,
binary1217730267_wrm_a: ( a > int ) > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(tp_binary1226383794sert_a,type,
binary1226383794sert_a: ( a > int ) > a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(tp_binary1721989714Tree_a,type,
binary1721989714Tree_a: ( a > int ) > binary1439146945Tree_a > $o ).
thf(tp_binary1774981152rmrm_a,type,
binary1774981152rmrm_a: ( a > int ) > binary1439146945Tree_a > produc376588196ee_a_a ).
thf(tp_binary1804682569move_a,type,
binary1804682569move_a: ( a > int ) > a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(tp_binary2053421120memb_a,type,
binary2053421120memb_a: ( a > int ) > a > binary1439146945Tree_a > $o ).
thf(tp_binary339557810e_rm_a,type,
binary339557810e_rm_a: ( a > int ) > binary1439146945Tree_a > a ).
thf(tp_binary476621312_Tip_a,type,
binary476621312_Tip_a: binary1439146945Tree_a ).
thf(tp_binary670562003pred_a,type,
binary670562003pred_a: ( a > int ) > a > a > binary1439146945Tree_a > $o ).
thf(tp_binary717961607le_T_a,type,
binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(tp_binary945792244etOf_a,type,
binary945792244etOf_a: binary1439146945Tree_a > set_a ).
thf(tp_bot_bot_a_o,type,
bot_bot_a_o: a > $o ).
thf(tp_bot_bot_o,type,
bot_bot_o: $o ).
thf(tp_bot_bot_set_a,type,
bot_bot_set_a: set_a ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_h,type,
h: a > int ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_ord_less_a_o,type,
ord_less_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(tp_ord_less_eq_a_o,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(tp_ord_less_eq_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_o,type,
ord_less_eq_o: $o > $o > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_set_a,type,
ord_less_set_a: set_a > set_a > $o ).
thf(tp_ordering_top_a_o,type,
ordering_top_a_o: ( ( a > $o ) > ( a > $o ) > $o ) > ( ( a > $o ) > ( a > $o ) > $o ) > ( a > $o ) > $o ).
thf(tp_ordering_top_set_a,type,
ordering_top_set_a: ( set_a > set_a > $o ) > ( set_a > set_a > $o ) > set_a > $o ).
thf(tp_produc1275654896Tree_a,type,
produc1275654896Tree_a: ( binary1439146945Tree_a > a > binary1439146945Tree_a ) > produc376588196ee_a_a > binary1439146945Tree_a ).
thf(tp_produc374321428ee_a_a,type,
produc374321428ee_a_a: binary1439146945Tree_a > a > produc376588196ee_a_a ).
thf(tp_t1,type,
t1: binary1439146945Tree_a ).
thf(tp_t2,type,
t2: binary1439146945Tree_a ).
thf(tp_x,type,
x: a ).
thf(340,axiom,
( ( ( binary476621312_Tip_a != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__092_060open_062Tip_A_092_060noteq_062_ATip_A_092_060and_062_AsortedTree_Ah_ATip_A_092_060longrightarrow_062_AsortedTree_Ah_A_Iwrm_Ah_ATip_J_092_060close_062) ).
thf(342,axiom,
( ( ( t2 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t2 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_h2) ).
thf(343,axiom,
( binary670562003pred_a
= ( ^ [H2: a > int,A: a,B: a,T3: binary1439146945Tree_a] :
( ( ( binary1721989714Tree_a @ H2 @ T3 )
& ( member_a @ A @ ( binary945792244etOf_a @ T3 ) )
& ( member_a @ B @ ( binary945792244etOf_a @ T3 ) )
& ( ( H2 @ A )
= ( H2 @ B ) ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_sorted__distinct__pred__def) ).
thf(344,axiom,
! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( ( binary2053421120memb_a @ H @ X @ T )
= ( member_a @ X @ ( binary945792244etOf_a @ T ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_memb__spec) ).
thf(345,axiom,
! [H: a > int] : ( binary1721989714Tree_a @ H @ binary476621312_Tip_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_sortedTree_Osimps_I1_J) ).
thf(346,axiom,
( ( ( t1 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t1 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_h1) ).
thf(347,axiom,
! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( binary1721989714Tree_a @ H @ ( binary1226383794sert_a @ H @ X @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_binsert__sorted) ).
thf(349,axiom,
! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_sortLemmaR) ).
thf(350,axiom,
! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_sortLemmaL) ).
thf(352,axiom,
binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_s) ).
thf(354,conjecture,
binary1721989714Tree_a @ h @ t1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(355,negated_conjecture,
( ( binary1721989714Tree_a @ h @ t1 )
= $false ),
inference(negate_conjecture,[status(cth)],[354]) ).
thf(356,plain,
( ( binary1721989714Tree_a @ h @ t1 )
= $false ),
inference(unfold_def,[status(thm)],[355]) ).
thf(357,plain,
( ( ( ( binary476621312_Tip_a != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(358,plain,
( ( ( ( t2 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t2 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(359,plain,
( ( binary670562003pred_a
= ( ^ [H2: a > int,A: a,B: a,T3: binary1439146945Tree_a] :
( ( ( binary1721989714Tree_a @ H2 @ T3 )
& ( member_a @ A @ ( binary945792244etOf_a @ T3 ) )
& ( member_a @ B @ ( binary945792244etOf_a @ T3 ) )
& ( ( H2 @ A )
= ( H2 @ B ) ) )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(360,plain,
( ( ! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( ( binary2053421120memb_a @ H @ X @ T )
= ( member_a @ X @ ( binary945792244etOf_a @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(361,plain,
( ( ! [H: a > int] : ( binary1721989714Tree_a @ H @ binary476621312_Tip_a ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(362,plain,
( ( ( ( t1 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t1 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(363,plain,
( ( ! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( binary1721989714Tree_a @ H @ ( binary1226383794sert_a @ H @ X @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(364,plain,
( ( ! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(365,plain,
( ( ! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(366,plain,
( ( binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(367,plain,
( ( ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[356]) ).
thf(368,plain,
( ( binary1721989714Tree_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(369,plain,
( ( ! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T1 ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(370,plain,
( ( ! [H: a > int,T1: binary1439146945Tree_a,X: a,T2: binary1439146945Tree_a] :
( ( binary1721989714Tree_a @ H @ ( binary717961607le_T_a @ T1 @ X @ T2 ) )
=> ( binary1721989714Tree_a @ H @ T2 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(371,plain,
( ( ! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( binary1721989714Tree_a @ H @ ( binary1226383794sert_a @ H @ X @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(372,plain,
( ( ( ( t1 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t1 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(373,plain,
( ( ! [H: a > int] : ( binary1721989714Tree_a @ H @ binary476621312_Tip_a ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(374,plain,
( ( ! [H: a > int,T: binary1439146945Tree_a,X: a] :
( ( binary1721989714Tree_a @ H @ T )
=> ( ( binary2053421120memb_a @ H @ X @ T )
= ( member_a @ X @ ( binary945792244etOf_a @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(375,plain,
( ( binary670562003pred_a
= ( ^ [H2: a > int,A: a,B: a,T3: binary1439146945Tree_a] :
( ( ( binary1721989714Tree_a @ H2 @ T3 )
& ( member_a @ A @ ( binary945792244etOf_a @ T3 ) )
& ( member_a @ B @ ( binary945792244etOf_a @ T3 ) )
& ( ( H2 @ A )
= ( H2 @ B ) ) )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(376,plain,
( ( ( ( t2 != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ t2 ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(377,plain,
( ( ( ( binary476621312_Tip_a != binary476621312_Tip_a )
& ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
=> ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(378,plain,
( ( ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(379,plain,
( ( ! [SX0: a > int,SX1: binary1439146945Tree_a,SX2: a,SX3: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SX0 @ ( binary717961607le_T_a @ SX1 @ SX2 @ SX3 ) )
| ( binary1721989714Tree_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(380,plain,
( ( ~ ~ ( ~ ( ( t2 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t2 ) )
| ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(381,plain,
( ( ! [SX0: a > int,SX1: binary1439146945Tree_a,SX2: a,SX3: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SX0 @ ( binary717961607le_T_a @ SX1 @ SX2 @ SX3 ) )
| ( binary1721989714Tree_a @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(382,plain,
( ( ~ ~ ( ~ ( ( t1 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t1 ) )
| ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(383,plain,
( ( ! [SX0: a > int,SX1: binary1439146945Tree_a,SX2: a] :
( ~ ( binary1721989714Tree_a @ SX0 @ SX1 )
| ( ( binary2053421120memb_a @ SX0 @ SX2 @ SX1 )
= ( member_a @ SX2 @ ( binary945792244etOf_a @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(384,plain,
( ( binary670562003pred_a
= ( ^ [SX0: a > int,SX1: a,SX2: a,SX3: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SX0 @ SX3 )
| ~ ( member_a @ SX1 @ ( binary945792244etOf_a @ SX3 ) ) )
| ~ ( member_a @ SX2 @ ( binary945792244etOf_a @ SX3 ) ) )
| ( ( SX0 @ SX1 )
!= ( SX0 @ SX2 ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(385,plain,
( ( ! [SX0: a > int,SX1: binary1439146945Tree_a,SX2: a] :
( ~ ( binary1721989714Tree_a @ SX0 @ SX1 )
| ( binary1721989714Tree_a @ SX0 @ ( binary1226383794sert_a @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(386,plain,
( ( ~ ~ ( ~ ( ( binary476621312_Tip_a != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
| ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(387,plain,
! [SV1: a > int] :
( ( binary1721989714Tree_a @ SV1 @ binary476621312_Tip_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(388,plain,
( ( binary1721989714Tree_a @ h @ t1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(389,plain,
! [SV2: a > int] :
( ( ! [SY19: binary1439146945Tree_a,SY20: a,SY21: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SY19 @ SY20 @ SY21 ) )
| ( binary1721989714Tree_a @ SV2 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(390,plain,
( ( ( ~ ~ ( ~ ( ( t2 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t2 ) ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(391,plain,
! [SV3: a > int] :
( ( ! [SY22: binary1439146945Tree_a,SY23: a,SY24: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SY22 @ SY23 @ SY24 ) )
| ( binary1721989714Tree_a @ SV3 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(392,plain,
( ( ( ~ ~ ( ~ ( ( t1 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t1 ) ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(393,plain,
! [SV4: a > int] :
( ( ! [SY25: binary1439146945Tree_a,SY26: a] :
( ~ ( binary1721989714Tree_a @ SV4 @ SY25 )
| ( ( binary2053421120memb_a @ SV4 @ SY26 @ SY25 )
= ( member_a @ SY26 @ ( binary945792244etOf_a @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(394,plain,
( ( ! [SV5: a > int] :
( ( binary670562003pred_a @ SV5 )
= ( ^ [SY27: a,SY28: a,SY29: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV5 @ SY29 )
| ~ ( member_a @ SY27 @ ( binary945792244etOf_a @ SY29 ) ) )
| ~ ( member_a @ SY28 @ ( binary945792244etOf_a @ SY29 ) ) )
| ( ( SV5 @ SY27 )
!= ( SV5 @ SY28 ) ) )
| ( SY27 = SY28 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[384]) ).
thf(395,plain,
( ( binary670562003pred_a
= ( ^ [SX0: a > int,SX1: a,SX2: a,SX3: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SX0 @ SX3 )
| ~ ( member_a @ SX1 @ ( binary945792244etOf_a @ SX3 ) ) )
| ~ ( member_a @ SX2 @ ( binary945792244etOf_a @ SX3 ) ) )
| ( ( SX0 @ SX1 )
!= ( SX0 @ SX2 ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[384]) ).
thf(396,plain,
! [SV6: a > int] :
( ( ! [SY30: binary1439146945Tree_a,SY31: a] :
( ~ ( binary1721989714Tree_a @ SV6 @ SY30 )
| ( binary1721989714Tree_a @ SV6 @ ( binary1226383794sert_a @ SV6 @ SY31 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(397,plain,
( ( ( ~ ~ ( ~ ( ( binary476621312_Tip_a != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(398,plain,
! [SV7: binary1439146945Tree_a,SV2: a > int] :
( ( ! [SY32: a,SY33: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SV7 @ SY32 @ SY33 ) )
| ( binary1721989714Tree_a @ SV2 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(399,plain,
( ( ( ~ ( ~ ( ( t2 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t2 ) ) )
= $false )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(400,plain,
! [SV8: binary1439146945Tree_a,SV3: a > int] :
( ( ! [SY34: a,SY35: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SV8 @ SY34 @ SY35 ) )
| ( binary1721989714Tree_a @ SV3 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(401,plain,
( ( ( ~ ( ~ ( ( t1 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t1 ) ) )
= $false )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(402,plain,
! [SV9: binary1439146945Tree_a,SV4: a > int] :
( ( ! [SY36: a] :
( ~ ( binary1721989714Tree_a @ SV4 @ SV9 )
| ( ( binary2053421120memb_a @ SV4 @ SY36 @ SV9 )
= ( member_a @ SY36 @ ( binary945792244etOf_a @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(403,plain,
! [SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 )
= ( ^ [SY37: a,SY38: a,SY39: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY39 )
| ~ ( member_a @ SY37 @ ( binary945792244etOf_a @ SY39 ) ) )
| ~ ( member_a @ SY38 @ ( binary945792244etOf_a @ SY39 ) ) )
| ( ( SV10 @ SY37 )
!= ( SV10 @ SY38 ) ) )
| ( SY37 = SY38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(404,plain,
! [SV11: binary1439146945Tree_a,SV6: a > int] :
( ( ! [SY40: a] :
( ~ ( binary1721989714Tree_a @ SV6 @ SV11 )
| ( binary1721989714Tree_a @ SV6 @ ( binary1226383794sert_a @ SV6 @ SY40 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(405,plain,
( ( ( ~ ( ~ ( ( binary476621312_Tip_a != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) ) )
= $false )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(406,plain,
! [SV12: a,SV7: binary1439146945Tree_a,SV2: a > int] :
( ( ! [SY41: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SV7 @ SV12 @ SY41 ) )
| ( binary1721989714Tree_a @ SV2 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(407,plain,
( ( ( ~ ( ( t2 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t2 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(408,plain,
! [SV13: a,SV8: binary1439146945Tree_a,SV3: a > int] :
( ( ! [SY42: binary1439146945Tree_a] :
( ~ ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SV8 @ SV13 @ SY42 ) )
| ( binary1721989714Tree_a @ SV3 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(409,plain,
( ( ( ~ ( ( t1 != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(410,plain,
! [SV14: a,SV9: binary1439146945Tree_a,SV4: a > int] :
( ( ~ ( binary1721989714Tree_a @ SV4 @ SV9 )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(411,plain,
! [SV10: a > int] :
( ( ! [SV15: a] :
( ( binary670562003pred_a @ SV10 @ SV15 )
= ( ^ [SY43: a,SY44: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY44 )
| ~ ( member_a @ SV15 @ ( binary945792244etOf_a @ SY44 ) ) )
| ~ ( member_a @ SY43 @ ( binary945792244etOf_a @ SY44 ) ) )
| ( ( SV10 @ SV15 )
!= ( SV10 @ SY43 ) ) )
| ( SV15 = SY43 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(412,plain,
! [SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 )
= ( ^ [SY37: a,SY38: a,SY39: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY39 )
| ~ ( member_a @ SY37 @ ( binary945792244etOf_a @ SY39 ) ) )
| ~ ( member_a @ SY38 @ ( binary945792244etOf_a @ SY39 ) ) )
| ( ( SV10 @ SY37 )
!= ( SV10 @ SY38 ) ) )
| ( SY37 = SY38 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(413,plain,
! [SV16: a,SV11: binary1439146945Tree_a,SV6: a > int] :
( ( ~ ( binary1721989714Tree_a @ SV6 @ SV11 )
| ( binary1721989714Tree_a @ SV6 @ ( binary1226383794sert_a @ SV6 @ SV16 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(414,plain,
( ( ( ~ ( ( binary476621312_Tip_a != binary476621312_Tip_a ) )
| ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(415,plain,
! [SV17: binary1439146945Tree_a,SV12: a,SV7: binary1439146945Tree_a,SV2: a > int] :
( ( ~ ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SV7 @ SV12 @ SV17 ) )
| ( binary1721989714Tree_a @ SV2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(416,plain,
( ( ( ~ ( ( t2 != binary476621312_Tip_a ) ) )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ t2 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(417,plain,
! [SV18: binary1439146945Tree_a,SV13: a,SV8: binary1439146945Tree_a,SV3: a > int] :
( ( ~ ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SV8 @ SV13 @ SV18 ) )
| ( binary1721989714Tree_a @ SV3 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(418,plain,
( ( ( ~ ( ( t1 != binary476621312_Tip_a ) ) )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV14: a,SV9: binary1439146945Tree_a,SV4: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV4 @ SV9 ) )
= $true )
| ( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 )
= ( ^ [SY45: a,SY46: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY46 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SY46 ) ) )
| ~ ( member_a @ SY45 @ ( binary945792244etOf_a @ SY46 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SY45 ) ) )
| ( SV19 = SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV16: a,SV11: binary1439146945Tree_a,SV6: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV6 @ SV11 ) )
= $true )
| ( ( binary1721989714Tree_a @ SV6 @ ( binary1226383794sert_a @ SV6 @ SV16 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(422,plain,
( ( ( ~ ( ( binary476621312_Tip_a != binary476621312_Tip_a ) ) )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(423,plain,
! [SV17: binary1439146945Tree_a,SV12: a,SV7: binary1439146945Tree_a,SV2: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SV7 @ SV12 @ SV17 ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(424,plain,
( ( ( t2 != binary476621312_Tip_a )
= $false )
| ( ( ~ ( binary1721989714Tree_a @ h @ t2 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(425,plain,
! [SV18: binary1439146945Tree_a,SV13: a,SV8: binary1439146945Tree_a,SV3: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SV8 @ SV13 @ SV18 ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV3 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(426,plain,
( ( ( t1 != binary476621312_Tip_a )
= $false )
| ( ( ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(427,plain,
! [SV14: a,SV9: binary1439146945Tree_a,SV4: a > int] :
( ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false )
| ( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(428,plain,
! [SV19: a,SV10: a > int] :
( ( ! [SV20: a] :
( ( binary670562003pred_a @ SV10 @ SV19 @ SV20 )
= ( ^ [SY47: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY47 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SY47 ) ) )
| ~ ( member_a @ SV20 @ ( binary945792244etOf_a @ SY47 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV20 ) ) )
| ( SV19 = SV20 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(429,plain,
! [SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 )
= ( ^ [SY45: a,SY46: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY46 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SY46 ) ) )
| ~ ( member_a @ SY45 @ ( binary945792244etOf_a @ SY46 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SY45 ) ) )
| ( SV19 = SY45 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(430,plain,
! [SV16: a,SV11: binary1439146945Tree_a,SV6: a > int] :
( ( ( binary1721989714Tree_a @ SV6 @ SV11 )
= $false )
| ( ( binary1721989714Tree_a @ SV6 @ ( binary1226383794sert_a @ SV6 @ SV16 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(431,plain,
( ( ( binary476621312_Tip_a != binary476621312_Tip_a )
= $false )
| ( ( ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(432,plain,
! [SV17: binary1439146945Tree_a,SV12: a,SV7: binary1439146945Tree_a,SV2: a > int] :
( ( ( binary1721989714Tree_a @ SV2 @ ( binary717961607le_T_a @ SV7 @ SV12 @ SV17 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV2 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(433,plain,
( ( ( t2 = binary476621312_Tip_a )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ t2 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(434,plain,
! [SV18: binary1439146945Tree_a,SV13: a,SV8: binary1439146945Tree_a,SV3: a > int] :
( ( ( binary1721989714Tree_a @ SV3 @ ( binary717961607le_T_a @ SV8 @ SV13 @ SV18 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV3 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(435,plain,
( ( ( t1 = binary476621312_Tip_a )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ t1 ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(436,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
| ~ ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(437,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(438,plain,
! [SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 )
= ( ^ [SY48: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY48 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SY48 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SY48 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(439,plain,
( ( ( binary476621312_Tip_a = binary476621312_Tip_a )
= $true )
| ( ( ~ ( binary1721989714Tree_a @ h @ binary476621312_Tip_a ) )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(440,plain,
( ( ( binary1721989714Tree_a @ h @ t2 )
= $false )
| ( ( t2 = binary476621312_Tip_a )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(441,plain,
( ( ( binary1721989714Tree_a @ h @ t1 )
= $false )
| ( ( t1 = binary476621312_Tip_a )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ t1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(442,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( ~ ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(443,plain,
! [SV21: a,SV19: a,SV10: a > int] :
( ( ! [SV22: binary1439146945Tree_a] :
( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV22 )
= ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV22 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV22 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV22 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(444,plain,
! [SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 )
= ( ^ [SY48: binary1439146945Tree_a] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SY48 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SY48 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SY48 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(445,plain,
( ( ( binary1721989714Tree_a @ h @ binary476621312_Tip_a )
= $false )
| ( ( binary476621312_Tip_a = binary476621312_Tip_a )
= $true )
| ( ( binary1721989714Tree_a @ h @ ( binary1217730267_wrm_a @ h @ binary476621312_Tip_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(446,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(447,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(448,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( ~ ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(449,plain,
! [SV4: a > int,SV9: binary1439146945Tree_a,SV14: a] :
( ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) ) )
= $true )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(450,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ~ ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
| ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[447]) ).
thf(451,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[447]) ).
thf(452,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $false )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(453,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
| ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $false )
| ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(454,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(455,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 ) )
= $false )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(456,plain,
! [SV4: a > int,SV9: binary1439146945Tree_a,SV14: a] :
( ( ( ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $false )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(457,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( ~ ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 ) )
= $false )
| ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(458,plain,
! [SV4: a > int,SV9: binary1439146945Tree_a,SV14: a] :
( ( ( ~ ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) ) )
= $false )
| ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(459,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(460,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $true )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(461,plain,
! [SV4: a > int,SV9: binary1439146945Tree_a,SV14: a] :
( ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $true )
| ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(462,plain,
! [SV9: binary1439146945Tree_a,SV14: a,SV4: a > int] :
( ( ( binary2053421120memb_a @ SV4 @ SV14 @ SV9 )
= $true )
| ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(463,plain,
! [SV4: a > int,SV9: binary1439146945Tree_a,SV14: a] :
( ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $true )
| ( ( member_a @ SV14 @ ( binary945792244etOf_a @ SV9 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(464,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(465,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(466,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(467,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(468,plain,
! [SV23: binary1439146945Tree_a,SV10: a > int,SV21: a,SV19: a] :
( ( ( SV19 = SV21 )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(469,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(470,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(471,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(472,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(473,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(474,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(475,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(476,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(477,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(478,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(479,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(480,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(481,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(482,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(483,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(484,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(485,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(486,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(487,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(488,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(489,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(490,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(491,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(492,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(493,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(494,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(495,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(496,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(497,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(498,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(499,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(500,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(501,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(502,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(503,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(504,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(505,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(506,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(507,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(508,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(509,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(510,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(511,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(512,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(513,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(514,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(515,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(516,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(517,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(518,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(519,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(520,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(521,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(522,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(523,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(524,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(525,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(526,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(527,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(528,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(529,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(530,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(531,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ~ ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(532,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(533,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(534,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(535,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(536,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(537,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(538,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(539,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(540,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
| ( SV19 = SV21 ) )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(541,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(542,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(543,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(544,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(545,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(546,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(547,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(548,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(549,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(550,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(551,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(552,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(553,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(554,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(555,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(556,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary670562003pred_a @ SV10 @ SV19 @ SV21 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(557,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(558,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
| ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(559,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(560,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(561,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(562,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(563,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(564,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(565,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(566,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( SV19 = SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(567,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(568,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(569,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(570,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(571,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(572,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
| ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(573,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(574,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(575,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(576,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(577,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(578,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(579,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(580,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) ) )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(581,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(582,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(583,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(584,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 )
| ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(585,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(586,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(587,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( ~ ( binary1721989714Tree_a @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(588,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(589,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(590,plain,
! [SV21: a,SV19: a,SV23: binary1439146945Tree_a,SV10: a > int] :
( ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(591,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(592,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(593,plain,
! [SV21: a,SV10: a > int,SV23: binary1439146945Tree_a,SV19: a] :
( ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( ~ ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) ) )
= $true )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(594,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(595,plain,
! [SV19: a,SV10: a > int,SV23: binary1439146945Tree_a,SV21: a] :
( ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( ( SV10 @ SV19 )
!= ( SV10 @ SV21 ) )
= $true )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(596,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(597,plain,
! [SV23: binary1439146945Tree_a,SV21: a,SV19: a,SV10: a > int] :
( ( ( ( SV10 @ SV19 )
= ( SV10 @ SV21 ) )
= $false )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( binary1721989714Tree_a @ SV10 @ SV23 )
= $false )
| ( ( member_a @ SV21 @ ( binary945792244etOf_a @ SV23 ) )
= $false )
| ( ( SV19 = SV21 )
= $true )
| ( ( member_a @ SV19 @ ( binary945792244etOf_a @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(598,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[368,597,596,591,582,566,556,539,537,518,500,481,473,463,462,461,460,451,445,444,441,440,437,434,432,430,429,412,395,388,387]) ).
thf(599,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP033^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n006.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 11:14:22 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/0.65 ..
% 2.31/0.65
% 2.31/0.65 No.of.Axioms: 10
% 2.31/0.65
% 2.31/0.65 Length.of.Defs: 0
% 2.31/0.65
% 2.31/0.65 Contains.Choice.Funs: false
% 2.31/0.65 ........
% 2.31/0.65
% 2.31/0.65 ********************************
% 2.31/0.65 * All subproblems solved! *
% 2.31/0.65 ********************************
% 2.31/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:598,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.31/0.65
% 2.31/0.65 %**** Beginning of derivation protocol ****
% 2.31/0.65 % SZS output start CNFRefutation
% See solution above
% 2.31/0.65
% 2.31/0.65 %**** End of derivation protocol ****
% 2.31/0.65 %**** no. of clauses in derivation: 256 ****
% 2.31/0.65 %**** clause counter: 598 ****
% 2.31/0.65
% 2.31/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:598,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------