%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP069^1 : 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 : n005.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 10:23:57 AM UTC 2026
% Result : Theorem 1.61s 0.55s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 19
% Syntax : Number of formulae : 281 ( 104 unt; 0 typ; 0 def)
% Number of atoms : 2266 (1394 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 5003 ( 759 ~; 688 |; 6 &;3493 @)
% ( 0 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 80 ( 77 usr; 7 con; 0-3 aty)
% Number of variables : 1588 ( 0 ^;1588 !; 0 ?;1588 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_multiset_a,type,
multiset_a: $tType ).
thf(tp_multiset_multiset_a,type,
multiset_multiset_a: $tType ).
thf(tp_produc1127127335iset_a,type,
produc1127127335iset_a: $tType ).
thf(tp_product_prod_a_a,type,
product_prod_a_a: $tType ).
thf(tp_set_Pr158363655iset_a,type,
set_Pr158363655iset_a: $tType ).
thf(tp_set_Product_prod_a_a,type,
set_Product_prod_a_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_multiset_a,type,
set_multiset_a: $tType ).
thf(tp_tree_a,type,
tree_a: $tType ).
thf(tp_add_mset_a,type,
add_mset_a: a > multiset_a > multiset_a ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_comm_m315775925iset_a,type,
comm_m315775925iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).
thf(tp_e_a,type,
e_a: tree_a ).
thf(tp_fold_m364285649iset_a,type,
fold_m364285649iset_a: ( a > multiset_a > multiset_a ) > multiset_a > multiset_a > multiset_a ).
thf(tp_fold_m382157835iset_a,type,
fold_m382157835iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).
thf(tp_heapIm1091024090Down_a,type,
heapIm1091024090Down_a: tree_a > tree_a ).
thf(tp_heapIm1140443833left_a,type,
heapIm1140443833left_a: tree_a > tree_a ).
thf(tp_heapIm1257206334ight_a,type,
heapIm1257206334ight_a: tree_a > tree_a ).
thf(tp_heapIm970322378pify_a,type,
heapIm970322378pify_a: tree_a > tree_a ).
thf(tp_in_tree_a,type,
in_tree_a: a > tree_a > $o ).
thf(tp_irrefl_a,type,
irrefl_a: set_Product_prod_a_a > $o ).
thf(tp_is_empty_a,type,
is_empty_a: multiset_a > $o ).
thf(tp_is_heap_a,type,
is_heap_a: tree_a > $o ).
thf(tp_l,type,
l: tree_a ).
thf(tp_lattic146396397_Max_a,type,
lattic146396397_Max_a: set_a > a ).
thf(tp_member340150864iset_a,type,
member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).
thf(tp_member449909584od_a_a,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_multiset_a,type,
member_multiset_a: multiset_a > set_multiset_a > $o ).
thf(tp_minus_1649712171iset_a,type,
minus_1649712171iset_a: multiset_a > multiset_a > multiset_a ).
thf(tp_mult1_a,type,
mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(tp_mult_a,type,
mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(tp_multiset_a2,type,
multiset_a2: tree_a > multiset_a ).
thf(tp_nO_MAT1617603563iset_a,type,
nO_MAT1617603563iset_a: multiset_a > multiset_a > $o ).
thf(tp_ord_le1199012836iset_a,type,
ord_le1199012836iset_a: multiset_a > multiset_a > $o ).
thf(tp_ord_less_eq_a,type,
ord_less_eq_a: a > a > $o ).
thf(tp_order_Greatest_a,type,
order_Greatest_a: ( a > $o ) > a ).
thf(tp_plus_plus_multiset_a,type,
plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
thf(tp_produc2037245207iset_a,type,
produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).
thf(tp_product_Pair_a_a,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(tp_r,type,
r: tree_a ).
thf(tp_sK10_SY113,type,
sK10_SY113: tree_a > a ).
thf(tp_sK11_SY163,type,
sK11_SY163: tree_a > a ).
thf(tp_sK12_SY166,type,
sK12_SY166: tree_a > a ).
thf(tp_sK13_SY169,type,
sK13_SY169: tree_a > tree_a ).
thf(tp_sK14_SY171,type,
sK14_SY171: tree_a > tree_a ).
thf(tp_sK15_SY173,type,
sK15_SY173: tree_a > tree_a ).
thf(tp_sK16_SY174,type,
sK16_SY174: tree_a > tree_a ).
thf(tp_sK17_SY89,type,
sK17_SY89: tree_a > a ).
thf(tp_sK18_SY117,type,
sK18_SY117: tree_a > a ).
thf(tp_sK19_SY175,type,
sK19_SY175: tree_a > a ).
thf(tp_sK1_SY100,type,
sK1_SY100: tree_a > a ).
thf(tp_sK20_SY178,type,
sK20_SY178: tree_a > a ).
thf(tp_sK21_SY181,type,
sK21_SY181: tree_a > tree_a ).
thf(tp_sK22_SY183,type,
sK22_SY183: tree_a > tree_a ).
thf(tp_sK23_SY185,type,
sK23_SY185: tree_a > tree_a ).
thf(tp_sK24_SY186,type,
sK24_SY186: tree_a > tree_a ).
thf(tp_sK25_SY93,type,
sK25_SY93: tree_a > a ).
thf(tp_sK26_SY121,type,
sK26_SY121: tree_a > a ).
thf(tp_sK27_SY187,type,
sK27_SY187: tree_a > a ).
thf(tp_sK28_SY193,type,
sK28_SY193: tree_a > a ).
thf(tp_sK29_SY199,type,
sK29_SY199: tree_a > tree_a ).
thf(tp_sK2_SY84,type,
sK2_SY84: tree_a > a ).
thf(tp_sK30_SY204,type,
sK30_SY204: tree_a > tree_a ).
thf(tp_sK31_SY209,type,
sK31_SY209: tree_a > tree_a ).
thf(tp_sK32_SY213,type,
sK32_SY213: tree_a > tree_a ).
thf(tp_sK33_SY217,type,
sK33_SY217: tree_a > a ).
thf(tp_sK34_SY220,type,
sK34_SY220: tree_a > a ).
thf(tp_sK35_SY223,type,
sK35_SY223: tree_a > tree_a ).
thf(tp_sK36_SY225,type,
sK36_SY225: tree_a > tree_a ).
thf(tp_sK37_SY227,type,
sK37_SY227: tree_a > tree_a ).
thf(tp_sK38_SY228,type,
sK38_SY228: tree_a > tree_a ).
thf(tp_sK3_SY157,type,
sK3_SY157: tree_a > tree_a ).
thf(tp_sK4_SY109,type,
sK4_SY109: tree_a > ( tree_a > $o ) > a ).
thf(tp_sK5_SY112,type,
sK5_SY112: tree_a > a ).
thf(tp_sK6_SY159,type,
sK6_SY159: tree_a > tree_a ).
thf(tp_sK7_SY160,type,
sK7_SY160: tree_a > ( tree_a > $o ) > tree_a ).
thf(tp_sK8_SY162,type,
sK8_SY162: tree_a > ( tree_a > $o ) > tree_a ).
thf(tp_sK9_SY85,type,
sK9_SY85: tree_a > a ).
thf(tp_set_mset_a,type,
set_mset_a: multiset_a > set_a ).
thf(tp_set_mset_multiset_a,type,
set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).
thf(tp_t_a,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(tp_trans_a,type,
trans_a: set_Product_prod_a_a > $o ).
thf(tp_v,type,
v: a ).
thf(tp_val_a,type,
val_a: tree_a > a ).
thf(tp_zero_zero_multiset_a,type,
zero_zero_multiset_a: multiset_a ).
thf(112,axiom,
! [V: a,Uu: tree_a,Uv: tree_a] :
( ( val_a @ ( t_a @ V @ Uu @ Uv ) )
= V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_val_Osimps) ).
thf(122,axiom,
is_heap_a @ e_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_is__heap_Osimps_I1_J) ).
thf(123,axiom,
! [X21: a,X22: tree_a,X23: tree_a] :
( e_a
!= ( t_a @ X21 @ X22 @ X23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Tree_Odistinct_I1_J) ).
thf(124,axiom,
! [P: tree_a > $o,Tree: tree_a] :
( ( P @ e_a )
=> ( ! [X1: a,X2: tree_a,X3: tree_a] :
( ( P @ X2 )
=> ( ( P @ X3 )
=> ( P @ ( t_a @ X1 @ X2 @ X3 ) ) ) )
=> ( P @ Tree ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_Tree_Oinduct) ).
thf(125,axiom,
! [Y: tree_a] :
( ( Y != e_a )
=> ~ ! [X212: a,X222: tree_a,X232: tree_a] :
( Y
!= ( t_a @ X212 @ X222 @ X232 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_Tree_Oexhaust) ).
thf(126,axiom,
! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_is__heap_Ocases) ).
thf(131,axiom,
! [V: a,V3: a,L: tree_a,R: tree_a] :
( ( in_tree_a @ V @ ( t_a @ V3 @ L @ R ) )
= ( ( V = V3 )
| ( in_tree_a @ V @ L )
| ( in_tree_a @ V @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_in__tree_Osimps_I2_J) ).
thf(132,axiom,
! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_siftDown_Ocases) ).
thf(133,axiom,
( ( heapIm970322378pify_a @ e_a )
= e_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_heapify_Osimps_I1_J) ).
thf(134,axiom,
! [V: a] : ( is_heap_a @ ( t_a @ V @ e_a @ e_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_is__heap_Osimps_I2_J) ).
thf(135,axiom,
! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ V @ L @ R ) )
= R ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_right_Osimps) ).
thf(136,axiom,
! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ V @ L @ R ) )
= L ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_left_Osimps) ).
thf(137,axiom,
! [X21: a,X22: tree_a,X23: tree_a,Y21: a,Y22: tree_a,Y23: tree_a] :
( ( ( t_a @ X21 @ X22 @ X23 )
= ( t_a @ Y21 @ Y22 @ Y23 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 )
& ( X23 = Y23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_Tree_Oinject) ).
thf(138,axiom,
! [L: tree_a,R: tree_a,T: tree_a,V: a] :
( ( is_heap_a @ L )
=> ( ( is_heap_a @ R )
=> ( ( T
= ( t_a @ V @ L @ R ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_siftDown__heap__is__heap) ).
thf(139,axiom,
! [V: a,L: tree_a,R: tree_a] :
( ( heapIm970322378pify_a @ ( t_a @ V @ L @ R ) )
= ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm970322378pify_a @ L ) @ ( heapIm970322378pify_a @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_heapify_Osimps_I2_J) ).
thf(140,axiom,
( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
=> ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
=> ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060lbrakk_062is__heap_A_Iheapify_Al_J_059_Ais__heap_A_Iheapify_Ar_J_059_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_A_061_AT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ais__heap_A_IsiftDown_A_IT_Av_A_Iheapify_Al_J_A_Iheapify_Ar_J_J_J_092_060close_062) ).
thf(141,axiom,
is_heap_a @ ( heapIm970322378pify_a @ l ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_T_Ohyps_I1_J) ).
thf(142,axiom,
is_heap_a @ ( heapIm970322378pify_a @ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_T_Ohyps_I2_J) ).
thf(143,conjecture,
is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(144,negated_conjecture,
( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[143]) ).
thf(145,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
= $false ),
inference(unfold_def,[status(thm)],[144]) ).
thf(146,plain,
( ( ! [V: a,Uu: tree_a,Uv: tree_a] :
( ( val_a @ ( t_a @ V @ Uu @ Uv ) )
= V ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(147,plain,
( ( is_heap_a @ e_a )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(148,plain,
( ( ! [X21: a,X22: tree_a,X23: tree_a] :
( e_a
!= ( t_a @ X21 @ X22 @ X23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(149,plain,
( ( ! [P: tree_a > $o,Tree: tree_a] :
( ( P @ e_a )
=> ( ! [X1: a,X2: tree_a,X3: tree_a] :
( ( P @ X2 )
=> ( ( P @ X3 )
=> ( P @ ( t_a @ X1 @ X2 @ X3 ) ) ) )
=> ( P @ Tree ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(150,plain,
( ( ! [Y: tree_a] :
( ( Y != e_a )
=> ~ ! [X212: a,X222: tree_a,X232: tree_a] :
( Y
!= ( t_a @ X212 @ X222 @ X232 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(151,plain,
( ( ! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(152,plain,
( ( ! [V: a,V3: a,L: tree_a,R: tree_a] :
( ( in_tree_a @ V @ ( t_a @ V3 @ L @ R ) )
= ( ( V = V3 )
| ( in_tree_a @ V @ L )
| ( in_tree_a @ V @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(153,plain,
( ( ! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(154,plain,
( ( ( heapIm970322378pify_a @ e_a )
= e_a )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(155,plain,
( ( ! [V: a] : ( is_heap_a @ ( t_a @ V @ e_a @ e_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(156,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ V @ L @ R ) )
= R ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(157,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ V @ L @ R ) )
= L ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(158,plain,
( ( ! [X21: a,X22: tree_a,X23: tree_a,Y21: a,Y22: tree_a,Y23: tree_a] :
( ( ( t_a @ X21 @ X22 @ X23 )
= ( t_a @ Y21 @ Y22 @ Y23 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 )
& ( X23 = Y23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(159,plain,
( ( ! [L: tree_a,R: tree_a,T: tree_a,V: a] :
( ( is_heap_a @ L )
=> ( ( is_heap_a @ R )
=> ( ( T
= ( t_a @ V @ L @ R ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(160,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm970322378pify_a @ ( t_a @ V @ L @ R ) )
= ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm970322378pify_a @ L ) @ ( heapIm970322378pify_a @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(161,plain,
( ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
=> ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
=> ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(162,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(163,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(164,plain,
( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[145]) ).
thf(165,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(166,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(167,plain,
( ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
=> ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
=> ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(168,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm970322378pify_a @ ( t_a @ V @ L @ R ) )
= ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm970322378pify_a @ L ) @ ( heapIm970322378pify_a @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(169,plain,
( ( ! [L: tree_a,R: tree_a,T: tree_a,V: a] :
( ( is_heap_a @ L )
=> ( ( is_heap_a @ R )
=> ( ( T
= ( t_a @ V @ L @ R ) )
=> ( is_heap_a @ ( heapIm1091024090Down_a @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(170,plain,
( ( ! [X21: a,X22: tree_a,X23: tree_a,Y21: a,Y22: tree_a,Y23: tree_a] :
( ( ( t_a @ X21 @ X22 @ X23 )
= ( t_a @ Y21 @ Y22 @ Y23 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 )
& ( X23 = Y23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(171,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ V @ L @ R ) )
= L ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(172,plain,
( ( ! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ V @ L @ R ) )
= R ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(173,plain,
( ( ! [V: a] : ( is_heap_a @ ( t_a @ V @ e_a @ e_a ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(174,plain,
( ( ( heapIm970322378pify_a @ e_a )
= e_a )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(175,plain,
( ( ! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(176,plain,
( ( ! [V: a,V3: a,L: tree_a,R: tree_a] :
( ( in_tree_a @ V @ ( t_a @ V3 @ L @ R ) )
= ( ( V = V3 )
| ( in_tree_a @ V @ L )
| ( in_tree_a @ V @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(177,plain,
( ( ! [X: tree_a] :
( ( X != e_a )
=> ( ! [V2: a] :
( X
!= ( t_a @ V2 @ e_a @ e_a ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ e_a @ ( t_a @ Va @ Vb @ Vc ) ) )
=> ( ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ e_a ) )
=> ~ ! [V2: a,Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a] :
( X
!= ( t_a @ V2 @ ( t_a @ Va @ Vb @ Vc ) @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(178,plain,
( ( ! [Y: tree_a] :
( ( Y != e_a )
=> ~ ! [X212: a,X222: tree_a,X232: tree_a] :
( Y
!= ( t_a @ X212 @ X222 @ X232 ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(179,plain,
( ( ! [P: tree_a > $o,Tree: tree_a] :
( ( P @ e_a )
=> ( ! [X1: a,X2: tree_a,X3: tree_a] :
( ( P @ X2 )
=> ( ( P @ X3 )
=> ( P @ ( t_a @ X1 @ X2 @ X3 ) ) ) )
=> ( P @ Tree ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(180,plain,
( ( ! [X21: a,X22: tree_a,X23: tree_a] :
( e_a
!= ( t_a @ X21 @ X22 @ X23 ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(181,plain,
( ( is_heap_a @ e_a )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(182,plain,
( ( ! [V: a,Uu: tree_a,Uv: tree_a] :
( ( val_a @ ( t_a @ V @ Uu @ Uv ) )
= V ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(183,plain,
( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(184,plain,
( ( ! [SX0: tree_a] :
( ~ ( ( SX0 != e_a ) )
| ~ ! [SX1: a] :
( SX0
!= ( t_a @ SX1 @ e_a @ e_a ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a] :
( SX0
!= ( t_a @ SX1 @ e_a @ ( t_a @ SX2 @ SX3 @ SX4 ) ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a] :
( SX0
!= ( t_a @ SX1 @ ( t_a @ SX2 @ SX3 @ SX4 ) @ e_a ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a,SX5: a,SX6: tree_a,SX7: tree_a] :
( SX0
!= ( t_a @ SX1 @ ( t_a @ SX2 @ SX3 @ SX4 ) @ ( t_a @ SX5 @ SX6 @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(185,plain,
( ( ! [SX0: tree_a] :
( ~ ( ( SX0 != e_a ) )
| ~ ! [SX1: a,SX2: tree_a,SX3: tree_a] :
( SX0
!= ( t_a @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(186,plain,
( ( ! [SX0: a,SX1: tree_a,SX2: tree_a,SX3: a,SX4: tree_a,SX5: tree_a] :
( ( ( t_a @ SX0 @ SX1 @ SX2 )
= ( t_a @ SX3 @ SX4 @ SX5 ) )
= ( ~ ( ~ ~ ( ( SX0 != SX3 )
| ( SX1 != SX4 ) )
| ( SX2 != SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(187,plain,
( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
| ~ ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
| ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(188,plain,
( ( ! [SX0: tree_a > $o,SX1: tree_a] :
( ~ ( SX0 @ e_a )
| ~ ! [SX2: a,SX3: tree_a,SX4: tree_a] :
( ~ ( SX0 @ SX3 )
| ~ ( SX0 @ SX4 )
| ( SX0 @ ( t_a @ SX2 @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(189,plain,
( ( ! [SX0: tree_a] :
( ~ ( ( SX0 != e_a ) )
| ~ ! [SX1: a] :
( SX0
!= ( t_a @ SX1 @ e_a @ e_a ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a] :
( SX0
!= ( t_a @ SX1 @ ( t_a @ SX2 @ SX3 @ SX4 ) @ e_a ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a] :
( SX0
!= ( t_a @ SX1 @ e_a @ ( t_a @ SX2 @ SX3 @ SX4 ) ) )
| ~ ! [SX1: a,SX2: a,SX3: tree_a,SX4: tree_a,SX5: a,SX6: tree_a,SX7: tree_a] :
( SX0
!= ( t_a @ SX1 @ ( t_a @ SX2 @ SX3 @ SX4 ) @ ( t_a @ SX5 @ SX6 @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(190,plain,
( ( ! [SX0: tree_a,SX1: tree_a,SX2: tree_a,SX3: a] :
( ~ ( is_heap_a @ SX0 )
| ~ ( is_heap_a @ SX1 )
| ( SX2
!= ( t_a @ SX3 @ SX0 @ SX1 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(191,plain,
( ( ! [SX0: a,SX1: tree_a,SX2: tree_a] :
( e_a
!= ( t_a @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(192,plain,
! [SV1: a] :
( ( ! [SY73: tree_a,SY74: tree_a] :
( ( heapIm970322378pify_a @ ( t_a @ SV1 @ SY73 @ SY74 ) )
= ( heapIm1091024090Down_a @ ( t_a @ SV1 @ ( heapIm970322378pify_a @ SY73 ) @ ( heapIm970322378pify_a @ SY74 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV2: a] :
( ( ! [SY75: tree_a,SY76: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ SV2 @ SY75 @ SY76 ) )
= SY75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(194,plain,
! [SV3: a] :
( ( ! [SY77: tree_a,SY78: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ SV3 @ SY77 @ SY78 ) )
= SY78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(195,plain,
! [SV4: a] :
( ( is_heap_a @ ( t_a @ SV4 @ e_a @ e_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(196,plain,
! [SV5: a] :
( ( ! [SY79: a,SY80: tree_a,SY81: tree_a] :
( ( in_tree_a @ SV5 @ ( t_a @ SY79 @ SY80 @ SY81 ) )
= ( ( SV5 = SY79 )
| ( in_tree_a @ SV5 @ SY80 )
| ( in_tree_a @ SV5 @ SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(197,plain,
! [SV6: a] :
( ( ! [SY82: tree_a,SY83: tree_a] :
( ( val_a @ ( t_a @ SV6 @ SY82 @ SY83 ) )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(198,plain,
( ( is_heap_a @ ( heapIm970322378pify_a @ ( t_a @ v @ l @ r ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV7: tree_a] :
( ( ~ ( ( SV7 != e_a ) )
| ~ ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) )
| ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(200,plain,
! [SV8: tree_a] :
( ( ~ ( ( SV8 != e_a ) )
| ~ ! [SY100: a,SY101: tree_a,SY102: tree_a] :
( SV8
!= ( t_a @ SY100 @ SY101 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(201,plain,
! [SV9: a] :
( ( ! [SY103: tree_a,SY104: tree_a,SY105: a,SY106: tree_a,SY107: tree_a] :
( ( ( t_a @ SV9 @ SY103 @ SY104 )
= ( t_a @ SY105 @ SY106 @ SY107 ) )
= ( ~ ( ~ ~ ( ( SV9 != SY105 )
| ( SY103 != SY106 ) )
| ( SY104 != SY107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(202,plain,
( ( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ l ) ) )
= $true )
| ( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
| ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(203,plain,
! [SV10: tree_a > $o] :
( ( ! [SY108: tree_a] :
( ~ ( SV10 @ e_a )
| ~ ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) )
| ( SV10 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(204,plain,
! [SV11: tree_a] :
( ( ~ ( ( SV11 != e_a ) )
| ~ ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) )
| ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(205,plain,
! [SV12: tree_a] :
( ( ! [SY128: tree_a,SY129: tree_a,SY130: a] :
( ~ ( is_heap_a @ SV12 )
| ~ ( is_heap_a @ SY128 )
| ( SY129
!= ( t_a @ SY130 @ SV12 @ SY128 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(206,plain,
! [SV13: a] :
( ( ! [SY131: tree_a,SY132: tree_a] :
( e_a
!= ( t_a @ SV13 @ SY131 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(207,plain,
! [SV14: tree_a,SV1: a] :
( ( ! [SY133: tree_a] :
( ( heapIm970322378pify_a @ ( t_a @ SV1 @ SV14 @ SY133 ) )
= ( heapIm1091024090Down_a @ ( t_a @ SV1 @ ( heapIm970322378pify_a @ SV14 ) @ ( heapIm970322378pify_a @ SY133 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(208,plain,
! [SV15: tree_a,SV2: a] :
( ( ! [SY134: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ SV2 @ SV15 @ SY134 ) )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(209,plain,
! [SV16: tree_a,SV3: a] :
( ( ! [SY135: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ SV3 @ SV16 @ SY135 ) )
= SY135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(210,plain,
! [SV17: a,SV5: a] :
( ( ! [SY136: tree_a,SY137: tree_a] :
( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SY136 @ SY137 ) )
= ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SY136 )
| ( in_tree_a @ SV5 @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(211,plain,
! [SV18: tree_a,SV6: a] :
( ( ! [SY138: tree_a] :
( ( val_a @ ( t_a @ SV6 @ SV18 @ SY138 ) )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(212,plain,
! [SV7: tree_a] :
( ( ( ~ ( ( SV7 != e_a ) ) )
= $true )
| ( ( ~ ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) )
| ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(213,plain,
! [SV8: tree_a] :
( ( ( ~ ( ( SV8 != e_a ) ) )
= $true )
| ( ( ~ ! [SY100: a,SY101: tree_a,SY102: tree_a] :
( SV8
!= ( t_a @ SY100 @ SY101 @ SY102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(214,plain,
! [SV19: tree_a,SV9: a] :
( ( ! [SY139: tree_a,SY140: a,SY141: tree_a,SY142: tree_a] :
( ( ( t_a @ SV9 @ SV19 @ SY139 )
= ( t_a @ SY140 @ SY141 @ SY142 ) )
= ( ~ ( ~ ~ ( ( SV9 != SY140 )
| ( SV19 != SY141 ) )
| ( SY139 != SY142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(215,plain,
( ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $false )
| ( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
| ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ~ ( SV10 @ e_a )
| ~ ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) )
| ( SV10 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV11: tree_a] :
( ( ( ~ ( ( SV11 != e_a ) ) )
= $true )
| ( ( ~ ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) )
| ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV21: tree_a,SV12: tree_a] :
( ( ! [SY146: tree_a,SY147: a] :
( ~ ( is_heap_a @ SV12 )
| ~ ( is_heap_a @ SV21 )
| ( SY146
!= ( t_a @ SY147 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SY146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(219,plain,
! [SV22: tree_a,SV13: a] :
( ( ! [SY148: tree_a] :
( e_a
!= ( t_a @ SV13 @ SV22 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(220,plain,
! [SV23: tree_a,SV14: tree_a,SV1: a] :
( ( ( heapIm970322378pify_a @ ( t_a @ SV1 @ SV14 @ SV23 ) )
= ( heapIm1091024090Down_a @ ( t_a @ SV1 @ ( heapIm970322378pify_a @ SV14 ) @ ( heapIm970322378pify_a @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV24: tree_a,SV15: tree_a,SV2: a] :
( ( ( heapIm1140443833left_a @ ( t_a @ SV2 @ SV15 @ SV24 ) )
= SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV25: tree_a,SV16: tree_a,SV3: a] :
( ( ( heapIm1257206334ight_a @ ( t_a @ SV3 @ SV16 @ SV25 ) )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV26: tree_a,SV17: a,SV5: a] :
( ( ! [SY149: tree_a] :
( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SY149 ) )
= ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV27: tree_a,SV18: tree_a,SV6: a] :
( ( ( val_a @ ( t_a @ SV6 @ SV18 @ SV27 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV7: tree_a] :
( ( ( SV7 != e_a )
= $false )
| ( ( ~ ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) )
| ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV8: tree_a] :
( ( ( SV8 != e_a )
= $false )
| ( ( ~ ! [SY100: a,SY101: tree_a,SY102: tree_a] :
( SV8
!= ( t_a @ SY100 @ SY101 @ SY102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ! [SY150: a,SY151: tree_a,SY152: tree_a] :
( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SY150 @ SY151 @ SY152 ) )
= ( ~ ( ~ ~ ( ( SV9 != SY150 )
| ( SV19 != SY151 ) )
| ( SV28 != SY152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(228,plain,
( ( ( ~ ( is_heap_a @ ( heapIm970322378pify_a @ r ) ) )
= $true )
| ( ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) )
= $true )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ( SV10 @ e_a ) )
= $true )
| ( ( ~ ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) )
| ( SV10 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV11: tree_a] :
( ( ( SV11 != e_a )
= $false )
| ( ( ~ ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) )
| ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV29: tree_a,SV21: tree_a,SV12: tree_a] :
( ( ! [SY153: a] :
( ~ ( is_heap_a @ SV12 )
| ~ ( is_heap_a @ SV21 )
| ( SV29
!= ( t_a @ SY153 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(232,plain,
! [SV30: tree_a,SV22: tree_a,SV13: a] :
( ( e_a
!= ( t_a @ SV13 @ SV22 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(234,plain,
! [SV7: tree_a] :
( ( ( SV7 = e_a )
= $true )
| ( ( ~ ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) )
| ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(235,plain,
! [SV8: tree_a] :
( ( ( SV8 = e_a )
= $true )
| ( ( ~ ! [SY100: a,SY101: tree_a,SY102: tree_a] :
( SV8
!= ( t_a @ SY100 @ SY101 @ SY102 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(236,plain,
! [SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ! [SY154: tree_a,SY155: tree_a] :
( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SY154 @ SY155 ) )
= ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SY154 ) )
| ( SV28 != SY155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(237,plain,
( ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
= $false )
| ( ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) ) )
= $true )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( SV10 @ e_a )
= $false )
| ( ( ~ ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) )
| ( SV10 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV11: tree_a] :
( ( ( SV11 = e_a )
= $true )
| ( ( ~ ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) )
| ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(240,plain,
! [SV33: a,SV29: tree_a,SV21: tree_a,SV12: tree_a] :
( ( ~ ( is_heap_a @ SV12 )
| ~ ( is_heap_a @ SV21 )
| ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(241,plain,
! [SV30: tree_a,SV22: tree_a,SV13: a] :
( ( e_a
= ( t_a @ SV13 @ SV22 @ SV30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(242,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ~ ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
| ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(243,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[233]) ).
thf(244,plain,
! [SV7: tree_a] :
( ( ( ~ ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) ) )
= $true )
| ( ( ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(245,plain,
! [SV8: tree_a] :
( ( ( ! [SY100: a,SY101: tree_a,SY102: tree_a] :
( SV8
!= ( t_a @ SY100 @ SY101 @ SY102 ) ) )
= $false )
| ( ( SV8 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(246,plain,
! [SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ! [SY156: tree_a] :
( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SY156 ) )
= ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SY156 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(247,plain,
( ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
!= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
= $true )
| ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
= $true )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
= $false )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(248,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) ) )
= $true )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(249,plain,
! [SV11: tree_a] :
( ( ( ~ ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) ) )
= $true )
| ( ( ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(250,plain,
! [SV33: a,SV29: tree_a,SV21: tree_a,SV12: tree_a] :
( ( ( ~ ( is_heap_a @ SV12 ) )
= $true )
| ( ( ~ ( is_heap_a @ SV21 )
| ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(251,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(252,plain,
! [SV7: tree_a] :
( ( ( ! [SY84: a] :
( SV7
!= ( t_a @ SY84 @ e_a @ e_a ) ) )
= $false )
| ( ( ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(253,plain,
! [SV8: tree_a] :
( ( ( ! [SY157: tree_a,SY158: tree_a] :
( SV8
!= ( t_a @ ( sK1_SY100 @ SV8 ) @ SY157 @ SY158 ) ) )
= $false )
| ( ( SV8 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[245]) ).
thf(254,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(255,plain,
( ( ( ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) )
= ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) )
= $false )
| ( ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( heapIm970322378pify_a @ l ) @ ( heapIm970322378pify_a @ r ) ) ) )
= $true )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ r ) )
= $false )
| ( ( is_heap_a @ ( heapIm970322378pify_a @ l ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ! [SY109: a,SY110: tree_a,SY111: tree_a] :
( ~ ( SV10 @ SY110 )
| ~ ( SV10 @ SY111 )
| ( SV10 @ ( t_a @ SY109 @ SY110 @ SY111 ) ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(257,plain,
! [SV11: tree_a] :
( ( ( ! [SY112: a] :
( SV11
!= ( t_a @ SY112 @ e_a @ e_a ) ) )
= $false )
| ( ( ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(258,plain,
! [SV33: a,SV29: tree_a,SV21: tree_a,SV12: tree_a] :
( ( ( is_heap_a @ SV12 )
= $false )
| ( ( ~ ( is_heap_a @ SV21 )
| ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(259,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(260,plain,
! [SV7: tree_a] :
( ( ( SV7
!= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $false )
| ( ( ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[252]) ).
thf(261,plain,
! [SV8: tree_a] :
( ( ( ! [SY159: tree_a] :
( SV8
!= ( t_a @ ( sK1_SY100 @ SV8 ) @ ( sK3_SY157 @ SV8 ) @ SY159 ) ) )
= $false )
| ( ( SV8 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[253]) ).
thf(262,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
| ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(263,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(264,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ! [SY160: tree_a,SY161: tree_a] :
( ~ ( SV10 @ SY160 )
| ~ ( SV10 @ SY161 )
| ( SV10 @ ( t_a @ ( sK4_SY109 @ SV20 @ SV10 ) @ SY160 @ SY161 ) ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[256]) ).
thf(265,plain,
! [SV11: tree_a] :
( ( ( SV11
!= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $false )
| ( ( ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[257]) ).
thf(266,plain,
! [SV12: tree_a,SV33: a,SV29: tree_a,SV21: tree_a] :
( ( ( ~ ( is_heap_a @ SV21 ) )
= $true )
| ( ( ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) )
= $true )
| ( ( is_heap_a @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(267,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(268,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(269,plain,
! [SV7: tree_a] :
( ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) )
| ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(270,plain,
! [SV8: tree_a] :
( ( ( SV8
!= ( t_a @ ( sK1_SY100 @ SV8 ) @ ( sK3_SY157 @ SV8 ) @ ( sK6_SY159 @ SV8 ) ) )
= $false )
| ( ( SV8 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(271,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ! [SY162: tree_a] :
( ~ ( SV10 @ ( sK7_SY160 @ SV20 @ SV10 ) )
| ~ ( SV10 @ SY162 )
| ( SV10 @ ( t_a @ ( sK4_SY109 @ SV20 @ SV10 ) @ ( sK7_SY160 @ SV20 @ SV10 ) @ SY162 ) ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[264]) ).
thf(273,plain,
! [SV11: tree_a] :
( ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) )
| ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(274,plain,
! [SV12: tree_a,SV33: a,SV29: tree_a,SV21: tree_a] :
( ( ( is_heap_a @ SV21 )
= $false )
| ( ( ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
| ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) ) )
= $true )
| ( ( is_heap_a @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(275,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(276,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 ) )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(277,plain,
! [SV26: tree_a,SV17: a,SV31: tree_a,SV5: a] :
( ( ( in_tree_a @ SV5 @ SV31 )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(278,plain,
! [SV7: tree_a] :
( ( ( ~ ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) ) )
= $true )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(279,plain,
! [SV8: tree_a] :
( ( ( SV8
= ( t_a @ ( sK1_SY100 @ SV8 ) @ ( sK3_SY157 @ SV8 ) @ ( sK6_SY159 @ SV8 ) ) )
= $true )
| ( ( SV8 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(280,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ( SV10 @ ( sK7_SY160 @ SV20 @ SV10 ) )
| ~ ( SV10 @ ( sK8_SY162 @ SV20 @ SV10 ) )
| ( SV10 @ ( t_a @ ( sK4_SY109 @ SV20 @ SV10 ) @ ( sK7_SY160 @ SV20 @ SV10 ) @ ( sK8_SY162 @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(282,plain,
! [SV11: tree_a] :
( ( ( ~ ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) ) )
= $true )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV21: tree_a,SV12: tree_a,SV33: a,SV29: tree_a] :
( ( ( SV29
!= ( t_a @ SV33 @ SV12 @ SV21 ) )
= $true )
| ( ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) )
= $true )
| ( ( is_heap_a @ SV21 )
= $false )
| ( ( is_heap_a @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(285,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(286,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( SV5 = SV17 )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(287,plain,
! [SV31: tree_a,SV17: a,SV26: tree_a,SV5: a] :
( ( ( in_tree_a @ SV5 @ SV26 )
= $false )
| ( ( ~ ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(288,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV7: tree_a] :
( ( ( ! [SY85: a,SY86: a,SY87: tree_a,SY88: tree_a] :
( SV7
!= ( t_a @ SY85 @ e_a @ ( t_a @ SY86 @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(291,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(292,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ( SV10 @ ( sK7_SY160 @ SV20 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(293,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ( SV10 @ ( sK8_SY162 @ SV20 @ SV10 ) )
| ( SV10 @ ( t_a @ ( sK4_SY109 @ SV20 @ SV10 ) @ ( sK7_SY160 @ SV20 @ SV10 ) @ ( sK8_SY162 @ SV20 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(294,plain,
! [SV11: tree_a] :
( ( ( ! [SY113: a,SY114: a,SY115: tree_a,SY116: tree_a] :
( SV11
!= ( t_a @ SY113 @ ( t_a @ SY114 @ SY115 @ SY116 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(295,plain,
! [SV21: tree_a,SV12: tree_a,SV33: a,SV29: tree_a] :
( ( ( SV29
= ( t_a @ SV33 @ SV12 @ SV21 ) )
= $false )
| ( ( is_heap_a @ ( heapIm1091024090Down_a @ SV29 ) )
= $true )
| ( ( is_heap_a @ SV21 )
= $false )
| ( ( is_heap_a @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(296,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(297,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(298,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(299,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
| ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(300,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(301,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(302,plain,
! [SV7: tree_a] :
( ( ( ! [SY163: a,SY164: tree_a,SY165: tree_a] :
( SV7
!= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ SY163 @ SY164 @ SY165 ) ) ) )
= $false )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(303,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(304,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(305,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( SV10 @ ( sK7_SY160 @ SV20 @ SV10 ) )
= $true )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(306,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( ~ ( SV10 @ ( sK8_SY162 @ SV20 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(307,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( SV10 @ ( t_a @ ( sK4_SY109 @ SV20 @ SV10 ) @ ( sK7_SY160 @ SV20 @ SV10 ) @ ( sK8_SY162 @ SV20 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(308,plain,
! [SV11: tree_a] :
( ( ( ! [SY166: a,SY167: tree_a,SY168: tree_a] :
( SV11
!= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ SY166 @ SY167 @ SY168 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(309,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(310,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) ) )
= $false )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(311,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(312,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(313,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ~ ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) ) )
= $false )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(314,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(315,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(316,plain,
! [SV7: tree_a] :
( ( ( ! [SY169: tree_a,SY170: tree_a] :
( SV7
!= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ SY169 @ SY170 ) ) ) )
= $false )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[302]) ).
thf(317,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(318,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(319,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $true )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(320,plain,
! [SV20: tree_a,SV10: tree_a > $o] :
( ( ( SV10 @ ( sK8_SY162 @ SV20 @ SV10 ) )
= $true )
| ( ( SV10 @ SV20 )
= $true )
| ( ( SV10 @ e_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(321,plain,
! [SV11: tree_a] :
( ( ( ! [SY171: tree_a,SY172: tree_a] :
( SV11
!= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ SY171 @ SY172 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(322,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( SV5 = SV17 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(323,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $true )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(324,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $true )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(325,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( in_tree_a @ SV5 @ ( t_a @ SV17 @ SV26 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(326,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 )
| ( in_tree_a @ SV5 @ SV31 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(327,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(328,plain,
! [SV7: tree_a] :
( ( ( ! [SY173: tree_a] :
( SV7
!= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ SY173 ) ) ) )
= $false )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(329,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(330,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(331,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $false )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(332,plain,
! [SV11: tree_a] :
( ( ( ! [SY174: tree_a] :
( SV11
!= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ SY174 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(333,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(334,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( ( SV5 = SV17 )
| ( in_tree_a @ SV5 @ SV26 ) )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(335,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( SV5 = SV17 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(336,plain,
! [SV7: tree_a] :
( ( ( SV7
!= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $false )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(337,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(338,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
= $true )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(339,plain,
! [SV11: tree_a] :
( ( ( SV11
!= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $false )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[332]) ).
thf(340,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( SV5 = SV17 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( SV5 = SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(341,plain,
! [SV31: tree_a,SV26: tree_a,SV17: a,SV5: a] :
( ( ( SV5 = SV17 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $true )
| ( ( in_tree_a @ SV5 @ SV31 )
= $true )
| ( ( in_tree_a @ SV5 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(342,plain,
! [SV7: tree_a] :
( ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) )
| ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(344,plain,
! [SV34: tree_a,SV32: a,SV19: tree_a,SV9: a,SV35: tree_a,SV28: tree_a] :
( ( ( SV28 != SV35 )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(345,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 != SV32 )
= $true )
| ( ( SV19 != SV34 )
= $true )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(346,plain,
! [SV11: tree_a] :
( ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) )
| ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(347,plain,
! [SV7: tree_a] :
( ( ( ~ ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) ) )
= $true )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(348,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(349,plain,
! [SV34: tree_a,SV32: a,SV19: tree_a,SV9: a,SV35: tree_a,SV28: tree_a] :
( ( ( SV28 = SV35 )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(350,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 = SV32 )
= $false )
| ( ( SV19 != SV34 )
= $true )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(351,plain,
! [SV11: tree_a] :
( ( ( ~ ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) ) )
= $true )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(352,plain,
! [SV7: tree_a] :
( ( ( ! [SY89: a,SY90: a,SY91: tree_a,SY92: tree_a] :
( SV7
!= ( t_a @ SY89 @ ( t_a @ SY90 @ SY91 @ SY92 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(353,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(354,plain,
! [SV35: tree_a,SV28: tree_a,SV32: a,SV9: a,SV34: tree_a,SV19: tree_a] :
( ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(355,plain,
! [SV11: tree_a] :
( ( ( ! [SY117: a,SY118: a,SY119: tree_a,SY120: tree_a] :
( SV11
!= ( t_a @ SY117 @ e_a @ ( t_a @ SY118 @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(356,plain,
! [SV7: tree_a] :
( ( ( ! [SY175: a,SY176: tree_a,SY177: tree_a] :
( SV7
!= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ SY175 @ SY176 @ SY177 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[352]) ).
thf(357,plain,
! [SV35: tree_a,SV34: tree_a,SV28: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 != SV32 )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(358,plain,
! [SV35: tree_a,SV32: a,SV28: tree_a,SV9: a,SV34: tree_a,SV19: tree_a] :
( ( ( SV19 != SV34 )
= $false )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(359,plain,
! [SV34: tree_a,SV19: tree_a,SV32: a,SV9: a,SV35: tree_a,SV28: tree_a] :
( ( ( SV28 = SV35 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( ~ ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(360,plain,
! [SV11: tree_a] :
( ( ( ! [SY178: a,SY179: tree_a,SY180: tree_a] :
( SV11
!= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ SY178 @ SY179 @ SY180 ) ) ) )
= $false )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[355]) ).
thf(361,plain,
! [SV7: tree_a] :
( ( ( ! [SY181: tree_a,SY182: tree_a] :
( SV7
!= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ SY181 @ SY182 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[356]) ).
thf(362,plain,
! [SV35: tree_a,SV34: tree_a,SV28: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 = SV32 )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(363,plain,
! [SV35: tree_a,SV32: a,SV28: tree_a,SV9: a,SV34: tree_a,SV19: tree_a] :
( ( ( SV19 = SV34 )
= $true )
| ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(364,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
| ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(365,plain,
! [SV11: tree_a] :
( ( ( ! [SY183: tree_a,SY184: tree_a] :
( SV11
!= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ SY183 @ SY184 ) ) ) )
= $false )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(366,plain,
! [SV7: tree_a] :
( ( ( ! [SY185: tree_a] :
( SV7
!= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ SY185 ) @ e_a ) ) )
= $false )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[361]) ).
thf(367,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
!= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(368,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(369,plain,
! [SV11: tree_a] :
( ( ( ! [SY186: tree_a] :
( SV11
!= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ SY186 ) ) ) )
= $false )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(370,plain,
! [SV7: tree_a] :
( ( ( SV7
!= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $false )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[366]) ).
thf(371,plain,
! [SV35: tree_a,SV34: tree_a,SV32: a,SV28: tree_a,SV19: tree_a,SV9: a] :
( ( ( ( t_a @ SV9 @ SV19 @ SV28 )
= ( t_a @ SV32 @ SV34 @ SV35 ) )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(372,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) ) )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(373,plain,
! [SV11: tree_a] :
( ( ( SV11
!= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $false )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[369]) ).
thf(374,plain,
! [SV7: tree_a] :
( ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( ~ ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(375,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
| ( SV28 != SV35 ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(376,plain,
! [SV11: tree_a] :
( ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( ~ ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(377,plain,
! [SV7: tree_a] :
( ( ( ! [SY93: a,SY94: a,SY95: tree_a,SY96: tree_a,SY97: a,SY98: tree_a,SY99: tree_a] :
( SV7
!= ( t_a @ SY93 @ ( t_a @ SY94 @ SY95 @ SY96 ) @ ( t_a @ SY97 @ SY98 @ SY99 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(378,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(379,plain,
! [SV32: a,SV9: a,SV34: tree_a,SV19: tree_a,SV35: tree_a,SV28: tree_a] :
( ( ( SV28 != SV35 )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(380,plain,
! [SV11: tree_a] :
( ( ( ! [SY121: a,SY122: a,SY123: tree_a,SY124: tree_a,SY125: a,SY126: tree_a,SY127: tree_a] :
( SV11
!= ( t_a @ SY121 @ ( t_a @ SY122 @ SY123 @ SY124 ) @ ( t_a @ SY125 @ SY126 @ SY127 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(381,plain,
! [SV7: tree_a] :
( ( ( ! [SY187: a,SY188: tree_a,SY189: tree_a,SY190: a,SY191: tree_a,SY192: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ SY187 @ SY188 @ SY189 ) @ ( t_a @ SY190 @ SY191 @ SY192 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(382,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ~ ( ( SV9 != SV32 )
| ( SV19 != SV34 ) ) )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(383,plain,
! [SV32: a,SV9: a,SV34: tree_a,SV19: tree_a,SV35: tree_a,SV28: tree_a] :
( ( ( SV28 = SV35 )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(384,plain,
! [SV11: tree_a] :
( ( ( ! [SY193: a,SY194: tree_a,SY195: tree_a,SY196: a,SY197: tree_a,SY198: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ SY193 @ SY194 @ SY195 ) @ ( t_a @ SY196 @ SY197 @ SY198 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(385,plain,
! [SV7: tree_a] :
( ( ( ! [SY199: tree_a,SY200: tree_a,SY201: a,SY202: tree_a,SY203: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ SY199 @ SY200 ) @ ( t_a @ SY201 @ SY202 @ SY203 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(386,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( ( SV9 != SV32 )
| ( SV19 != SV34 ) )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(387,plain,
! [SV11: tree_a] :
( ( ( ! [SY204: tree_a,SY205: tree_a,SY206: a,SY207: tree_a,SY208: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ SY204 @ SY205 ) @ ( t_a @ SY206 @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(388,plain,
! [SV7: tree_a] :
( ( ( ! [SY209: tree_a,SY210: a,SY211: tree_a,SY212: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ SY209 ) @ ( t_a @ SY210 @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(389,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 != SV32 )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(390,plain,
! [SV35: tree_a,SV28: tree_a,SV32: a,SV9: a,SV34: tree_a,SV19: tree_a] :
( ( ( SV19 != SV34 )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(391,plain,
! [SV11: tree_a] :
( ( ( ! [SY213: tree_a,SY214: a,SY215: tree_a,SY216: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ SY213 ) @ ( t_a @ SY214 @ SY215 @ SY216 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[387]) ).
thf(392,plain,
! [SV7: tree_a] :
( ( ( ! [SY217: a,SY218: tree_a,SY219: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ ( sK31_SY209 @ SV7 ) ) @ ( t_a @ SY217 @ SY218 @ SY219 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(393,plain,
! [SV35: tree_a,SV28: tree_a,SV34: tree_a,SV19: tree_a,SV32: a,SV9: a] :
( ( ( SV9 = SV32 )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(394,plain,
! [SV35: tree_a,SV28: tree_a,SV32: a,SV9: a,SV34: tree_a,SV19: tree_a] :
( ( ( SV19 = SV34 )
= $true )
| ( ( SV19 = SV34 )
= $false )
| ( ( SV9 = SV32 )
= $false )
| ( ( SV28 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(395,plain,
! [SV11: tree_a] :
( ( ( ! [SY220: a,SY221: tree_a,SY222: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ ( sK32_SY213 @ SV11 ) ) @ ( t_a @ SY220 @ SY221 @ SY222 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[391]) ).
thf(396,plain,
! [SV7: tree_a] :
( ( ( ! [SY223: tree_a,SY224: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ ( sK31_SY209 @ SV7 ) ) @ ( t_a @ ( sK33_SY217 @ SV7 ) @ SY223 @ SY224 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[392]) ).
thf(397,plain,
! [SV11: tree_a] :
( ( ( ! [SY225: tree_a,SY226: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ ( sK32_SY213 @ SV11 ) ) @ ( t_a @ ( sK34_SY220 @ SV11 ) @ SY225 @ SY226 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[395]) ).
thf(398,plain,
! [SV7: tree_a] :
( ( ( ! [SY227: tree_a] :
( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ ( sK31_SY209 @ SV7 ) ) @ ( t_a @ ( sK33_SY217 @ SV7 ) @ ( sK35_SY223 @ SV7 ) @ SY227 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[396]) ).
thf(399,plain,
! [SV11: tree_a] :
( ( ( ! [SY228: tree_a] :
( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ ( sK32_SY213 @ SV11 ) ) @ ( t_a @ ( sK34_SY220 @ SV11 ) @ ( sK36_SY225 @ SV11 ) @ SY228 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(400,plain,
! [SV7: tree_a] :
( ( ( SV7
!= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ ( sK31_SY209 @ SV7 ) ) @ ( t_a @ ( sK33_SY217 @ SV7 ) @ ( sK35_SY223 @ SV7 ) @ ( sK37_SY227 @ SV7 ) ) ) )
= $false )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[398]) ).
thf(401,plain,
! [SV11: tree_a] :
( ( ( SV11
!= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ ( sK32_SY213 @ SV11 ) ) @ ( t_a @ ( sK34_SY220 @ SV11 ) @ ( sK36_SY225 @ SV11 ) @ ( sK38_SY228 @ SV11 ) ) ) )
= $false )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[399]) ).
thf(402,plain,
! [SV7: tree_a] :
( ( ( SV7
= ( t_a @ ( sK25_SY93 @ SV7 ) @ ( t_a @ ( sK27_SY187 @ SV7 ) @ ( sK29_SY199 @ SV7 ) @ ( sK31_SY209 @ SV7 ) ) @ ( t_a @ ( sK33_SY217 @ SV7 ) @ ( sK35_SY223 @ SV7 ) @ ( sK37_SY227 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK17_SY89 @ SV7 ) @ ( t_a @ ( sK19_SY175 @ SV7 ) @ ( sK21_SY181 @ SV7 ) @ ( sK23_SY185 @ SV7 ) ) @ e_a ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK9_SY85 @ SV7 ) @ e_a @ ( t_a @ ( sK11_SY163 @ SV7 ) @ ( sK13_SY169 @ SV7 ) @ ( sK15_SY173 @ SV7 ) ) ) )
= $true )
| ( ( SV7
= ( t_a @ ( sK2_SY84 @ SV7 ) @ e_a @ e_a ) )
= $true )
| ( ( SV7 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(403,plain,
! [SV11: tree_a] :
( ( ( SV11
= ( t_a @ ( sK26_SY121 @ SV11 ) @ ( t_a @ ( sK28_SY193 @ SV11 ) @ ( sK30_SY204 @ SV11 ) @ ( sK32_SY213 @ SV11 ) ) @ ( t_a @ ( sK34_SY220 @ SV11 ) @ ( sK36_SY225 @ SV11 ) @ ( sK38_SY228 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK18_SY117 @ SV11 ) @ e_a @ ( t_a @ ( sK20_SY178 @ SV11 ) @ ( sK22_SY183 @ SV11 ) @ ( sK24_SY186 @ SV11 ) ) ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK10_SY113 @ SV11 ) @ ( t_a @ ( sK12_SY166 @ SV11 ) @ ( sK14_SY171 @ SV11 ) @ ( sK16_SY174 @ SV11 ) ) @ e_a ) )
= $true )
| ( ( SV11
= ( t_a @ ( sK5_SY112 @ SV11 ) @ e_a @ e_a ) )
= $true )
| ( ( SV11 = e_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(404,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[165,403,402,394,393,383,371,363,362,349,341,340,335,329,325,323,322,320,314,307,305,296,295,279,263,255,243,241,224,222,221,220,198,195,181,174,166]) ).
thf(405,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP069^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % 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 : n005.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 11:15:15 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
% 1.61/0.55 .
% 1.61/0.55
% 1.61/0.55 No.of.Axioms: 18
% 1.61/0.55
% 1.61/0.55 Length.of.Defs: 0
% 1.61/0.55
% 1.61/0.55 Contains.Choice.Funs: true
% 1.61/0.55 ...........
% 1.61/0.55
% 1.61/0.55 ********************************
% 1.61/0.55 * All subproblems solved! *
% 1.61/0.55 ********************************
% 1.61/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,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:404,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.61/0.55
% 1.61/0.55 %**** Beginning of derivation protocol ****
% 1.61/0.55 % SZS output start CNFRefutation
% See solution above
% 1.61/0.56
% 1.61/0.56 %**** End of derivation protocol ****
% 1.61/0.56 %**** no. of clauses in derivation: 281 ****
% 1.61/0.56 %**** clause counter: 404 ****
% 1.61/0.56
% 1.61/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:18,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:404,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------