TSTP Solution File: LAT374+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:28:10 EDT 2023
% Result : Theorem 161.51s 29.73s
% Output : Refutation 161.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 236
% Syntax : Number of formulae : 1688 ( 236 unt; 107 typ; 0 def)
% Number of atoms : 5754 ( 823 equ; 0 cnn)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 13370 (2074 ~;2110 |; 921 &;7907 @)
% ( 9 <=>; 349 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 132 ( 132 >; 0 *; 0 +; 0 <<)
% Number of symbols : 110 ( 107 usr; 23 con; 0-4 aty)
% Number of variables : 1200 ( 0 ^;1140 !; 60 ?;1200 :)
% Comments :
%------------------------------------------------------------------------------
thf(v2_setfam_1_type,type,
v2_setfam_1: $i > $o ).
thf(v2_orders_2_type,type,
v2_orders_2: $i > $o ).
thf(v3_orders_2_type,type,
v3_orders_2: $i > $o ).
thf(v4_orders_2_type,type,
v4_orders_2: $i > $o ).
thf(v1_lattice3_type,type,
v1_lattice3: $i > $o ).
thf(v2_lattice3_type,type,
v2_lattice3: $i > $o ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k9_waybel34_type,type,
k9_waybel34: $i > $i ).
thf(v1_orders_2_type,type,
v1_orders_2: $i > $o ).
thf(v3_lattice3_type,type,
v3_lattice3: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(l1_altcat_1_type,type,
l1_altcat_1: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_finset_1_type,type,
v1_finset_1: $i > $o ).
thf(k3_zfmisc_1_type,type,
k3_zfmisc_1: $i > $i > $i > $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(r2_altcat_2_type,type,
r2_altcat_2: $i > $i > $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v2_altcat_1_type,type,
v2_altcat_1: $i > $o ).
thf(v11_altcat_1_type,type,
v11_altcat_1: $i > $o ).
thf(v12_altcat_1_type,type,
v12_altcat_1: $i > $o ).
thf(v2_yellow18_type,type,
v2_yellow18: $i > $o ).
thf(l2_altcat_1_type,type,
l2_altcat_1: $i > $o ).
thf(m1_altcat_2_type,type,
m1_altcat_2: $i > $i > $o ).
thf(v3_altcat_2_type,type,
v3_altcat_2: $i > $i > $o ).
thf(v1_altcat_2_type,type,
v1_altcat_2: $i > $o ).
thf(v2_membered_type,type,
v2_membered: $i > $o ).
thf(v1_membered_type,type,
v1_membered: $i > $o ).
thf(v4_membered_type,type,
v4_membered: $i > $o ).
thf(v3_membered_type,type,
v3_membered: $i > $o ).
thf(v5_membered_type,type,
v5_membered: $i > $o ).
thf(m3_pboole_type,type,
m3_pboole: $i > $i > $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(g1_orders_2_type,type,
g1_orders_2: $i > $i > $i ).
thf(k5_waybel34_type,type,
k5_waybel34: $i > $i ).
thf(v6_altcat_1_type,type,
v6_altcat_1: $i > $o ).
thf(v2_yellow21_type,type,
v2_yellow21: $i > $o ).
thf(r1_altcat_2_type,type,
r1_altcat_2: $i > $i > $o ).
thf(v9_altcat_1_type,type,
v9_altcat_1: $i > $o ).
thf(v3_yellow18_type,type,
v3_yellow18: $i > $o ).
thf(v4_yellow18_type,type,
v4_yellow18: $i > $o ).
thf(v1_yellow21_type,type,
v1_yellow21: $i > $o ).
thf(v3_yellow21_type,type,
v3_yellow21: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k2_altcat_1_type,type,
k2_altcat_1: $i > $i > $i ).
thf(k3_altcat_1_type,type,
k3_altcat_1: $i > $i > $i > $i ).
thf(g2_altcat_1_type,type,
g2_altcat_1: $i > $i > $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_yellow21_type,type,
k1_yellow21: $i > $i ).
thf(u1_orders_2_type,type,
u1_orders_2: $i > $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k2_waybel34_type,type,
k2_waybel34: $i > $i > $i > $i ).
thf(u1_altcat_1_type,type,
u1_altcat_1: $i > $i ).
thf(k3_yellow21_type,type,
k3_yellow21: $i > $i > $i ).
thf(v1_xcmplx_0_type,type,
v1_xcmplx_0: $i > $o ).
thf(v4_ordinal2_type,type,
v4_ordinal2: $i > $o ).
thf(v1_xreal_0_type,type,
v1_xreal_0: $i > $o ).
thf(v1_int_1_type,type,
v1_int_1: $i > $o ).
thf(v1_rat_1_type,type,
v1_rat_1: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v2_yellow_0_type,type,
v2_yellow_0: $i > $o ).
thf(v24_waybel_0_type,type,
v24_waybel_0: $i > $o ).
thf(v25_waybel_0_type,type,
v25_waybel_0: $i > $o ).
thf(v1_yellow_0_type,type,
v1_yellow_0: $i > $o ).
thf(v3_yellow_0_type,type,
v3_yellow_0: $i > $o ).
thf(u2_altcat_1_type,type,
u2_altcat_1: $i > $i ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(v5_orders_3_type,type,
v5_orders_3: $i > $i > $i > $o ).
thf(k1_altcat_1_type,type,
k1_altcat_1: $i > $i > $i > $i ).
thf(k5_yellow21_type,type,
k5_yellow21: $i > $i > $i > $i > $i ).
thf(v22_waybel_0_type,type,
v22_waybel_0: $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $o ).
thf(sk4_type,type,
sk4: $i > $i > $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i > $i > $i > $i ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(sk10_type,type,
sk10: $i > $i > $i ).
thf(sk11_type,type,
sk11: $i ).
thf(sk12_type,type,
sk12: $i ).
thf(sk13_type,type,
sk13: $i > $i ).
thf(sk14_type,type,
sk14: $i ).
thf(sk15_type,type,
sk15: $i ).
thf(sk16_type,type,
sk16: $i ).
thf(sk17_type,type,
sk17: $i ).
thf(sk18_type,type,
sk18: $i > $i ).
thf(sk19_type,type,
sk19: $i ).
thf(sk20_type,type,
sk20: $i > $i ).
thf(sk21_type,type,
sk21: $i ).
thf(sk22_type,type,
sk22: $i > $i ).
thf(sk23_type,type,
sk23: $i ).
thf(sk25_type,type,
sk25: $i ).
thf(sk26_type,type,
sk26: $i ).
thf(sk29_type,type,
sk29: $i ).
thf(sk30_type,type,
sk30: $i > $i ).
thf(sk31_type,type,
sk31: $i ).
thf(14,axiom,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_functor0) ).
thf(180,plain,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(183,plain,
l2_altcat_1 @ sk5,
inference(cnf,[status(esa)],[180]) ).
thf(25,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( l1_altcat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
thf(222,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( l1_altcat_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(223,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( l1_altcat_1 @ A ) ),
inference(cnf,[status(esa)],[222]) ).
thf(3025,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
| ( ( l2_altcat_1 @ sk5 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[183,223]) ).
thf(3026,plain,
l1_altcat_1 @ sk5,
inference(pattern_uni,[status(thm)],[3025:[bind(A,$thf( sk5 ))]]) ).
thf(64,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
thf(400,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(401,plain,
! [A: $i] :
( ~ ( l1_altcat_1 @ A )
| ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference(cnf,[status(esa)],[400]) ).
thf(21305,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ sk5 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3026,401]) ).
thf(21306,plain,
m1_pboole @ ( u1_altcat_1 @ sk5 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[21305:[bind(A,$thf( sk5 ))]]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
=> ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_altcat_1) ).
thf(244,plain,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
=> ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
inference(cnf,[status(esa)],[244]) ).
thf(22421,plain,
! [B: $i,A: $i] :
( ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk5 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ) )
!= ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[21306,245]) ).
thf(22422,plain,
m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[22421:[bind(A,$thf( u1_struct_0 @ sk5 )),bind(B,$thf( u1_altcat_1 @ sk5 ))]]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
thf(363,plain,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(364,plain,
! [B: $i,A: $i] :
( ~ ( m1_pboole @ B @ A )
| ( v1_relat_1 @ B ) ),
inference(cnf,[status(esa)],[363]) ).
thf(24140,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22422,364]) ).
thf(24141,plain,
v1_relat_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[24140:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ))]]) ).
thf(60,axiom,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
thf(382,plain,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(383,plain,
l1_orders_2 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(63,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(398,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(399,plain,
! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( l1_struct_0 @ A ) ),
inference(cnf,[status(esa)],[398]) ).
thf(20992,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk21 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[383,399]) ).
thf(20993,plain,
l1_struct_0 @ sk21,
inference(pattern_uni,[status(thm)],[20992:[bind(A,$thf( sk21 ))]]) ).
thf(15,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_membered @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
thf(184,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_membered @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(189,plain,
v1_xboole_0 @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(4,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(147,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(148,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ),
inference(cnf,[status(esa)],[147]) ).
thf(149,plain,
! [A: $i] :
( ( A = k1_xboole_0 )
| ~ ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[148]) ).
thf(110,axiom,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
thf(592,plain,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(603,plain,
v2_lattice3 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2342,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_lattice3 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,603]) ).
thf(2343,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2342:[bind(A,$thf( sk31 ))]]) ).
thf(5383,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2343]) ).
thf(5390,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5383]) ).
thf(102,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
thf(543,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(555,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(50,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(351,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(352,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_finset_1 @ A ) ),
inference(cnf,[status(esa)],[351]) ).
thf(23,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
thf(212,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(214,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(3023,plain,
! [B: $i,A: $i] :
( ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ B )
| ( ( l2_altcat_1 @ ( k5_waybel34 @ A ) )
!= ( l2_altcat_1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[214,223]) ).
thf(3024,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(pattern_uni,[status(thm)],[3023:[bind(A,$thf( C )),bind(B,$thf( k5_waybel34 @ C ))]]) ).
thf(3029,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(simp,[status(thm)],[3024]) ).
thf(27,axiom,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v6_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A )
& ( v2_yellow21 @ A )
& ( v3_yellow21 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow21) ).
thf(227,plain,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v6_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A )
& ( v2_yellow21 @ A )
& ( v3_yellow21 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(238,plain,
v12_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(895,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,238]) ).
thf(896,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v12_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[895:[bind(A,$thf( sk12 ))]]) ).
thf(5685,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v12_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,896]) ).
thf(5686,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v12_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5685:[bind(A,$thf( sk12 ))]]) ).
thf(1,conjecture,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_waybel34 @ A ) ) )
<=> ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_waybel34) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_waybel34 @ A ) ) )
<=> ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(131,plain,
~ ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_waybel34 @ A ) ) )
=> ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) ) )
& ( ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) )
=> ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_waybel34 @ A ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(142,plain,
v4_orders_2 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(739,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,142]) ).
thf(740,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[739:[bind(A,$thf( sk2 ))]]) ).
thf(5709,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,740]) ).
thf(5710,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5709:[bind(A,$thf( sk2 ))]]) ).
thf(3,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
thf(145,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( l1_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(146,plain,
! [A: $i] :
( ~ ( l1_altcat_1 @ A )
| ( l1_struct_0 @ A ) ),
inference(cnf,[status(esa)],[145]) ).
thf(6400,plain,
! [A: $i] :
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5710,146]) ).
thf(6401,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[6400:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(7040,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6401]) ).
thf(7041,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7040:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(15793,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,7041]) ).
thf(15806,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[15793]) ).
thf(365,plain,
! [B: $i,A: $i] :
( ~ ( m1_pboole @ B @ A )
| ( v1_funct_1 @ B ) ),
inference(cnf,[status(esa)],[363]) ).
thf(138,plain,
v3_orders_2 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(601,plain,
v3_yellow_0 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2294,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_yellow_0 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,601]) ).
thf(2295,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v3_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2294:[bind(A,$thf( sk31 ))]]) ).
thf(135,plain,
( sk3
| ( v3_lattice3 @ sk2 ) ),
inference(cnf,[status(esa)],[131]) ).
thf(759,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,135]) ).
thf(760,plain,
( ~ ( v1_xboole_0 @ sk2 )
| sk3
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[759:[bind(A,$thf( sk2 ))]]) ).
thf(85,axiom,
! [A: $i] :
( ( ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel_8) ).
thf(479,plain,
! [A: $i] :
( ( ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(61,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(392,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(393,plain,
! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
inference(cnf,[status(esa)],[392]) ).
thf(237,plain,
~ ( v3_struct_0 @ sk12 ),
inference(cnf,[status(esa)],[227]) ).
thf(18080,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[393,237]) ).
thf(18081,plain,
( ~ ( l1_struct_0 @ sk12 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[18080:[bind(A,$thf( sk12 ))]]) ).
thf(232,plain,
l2_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(3027,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
| ( ( l2_altcat_1 @ sk12 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[232,223]) ).
thf(3028,plain,
l1_altcat_1 @ sk12,
inference(pattern_uni,[status(thm)],[3027:[bind(A,$thf( sk12 ))]]) ).
thf(3050,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ sk12 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3028,146]) ).
thf(3051,plain,
l1_struct_0 @ sk12,
inference(pattern_uni,[status(thm)],[3050:[bind(A,$thf( sk12 ))]]) ).
thf(19078,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk12 ) ) ),
inference(rewrite,[status(thm)],[18081,3051]) ).
thf(19079,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk12 ) ),
inference(simp,[status(thm)],[19078]) ).
thf(19082,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk12 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,19079]) ).
thf(19095,plain,
( ( u1_struct_0 @ sk12 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[19082]) ).
thf(19100,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( ( u1_struct_0 @ k1_xboole_0 )
!= k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,19095]) ).
thf(19101,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( ( u1_struct_0 @ k1_xboole_0 )
!= k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[19100:[bind(A,$thf( sk12 ))]]) ).
thf(48,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
thf(332,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(333,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v5_membered @ A ) ),
inference(cnf,[status(esa)],[332]) ).
thf(385,plain,
v2_orders_2 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(1030,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,385]) ).
thf(1031,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1030:[bind(A,$thf( sk21 ))]]) ).
thf(593,plain,
v3_lattice3 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2170,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_lattice3 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,593]) ).
thf(2171,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2170:[bind(A,$thf( sk31 ))]]) ).
thf(5653,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2171]) ).
thf(5654,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5653:[bind(A,$thf( sk31 ))]]) ).
thf(235,plain,
v1_yellow21 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(863,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_yellow21 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,235]) ).
thf(864,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v1_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[863:[bind(A,$thf( sk12 ))]]) ).
thf(5675,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,864]) ).
thf(5676,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v1_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5675:[bind(A,$thf( sk12 ))]]) ).
thf(81,axiom,
? [A: $i] : ( l1_orders_2 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(464,plain,
? [A: $i] : ( l1_orders_2 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(465,plain,
l1_orders_2 @ sk25,
inference(cnf,[status(esa)],[464]) ).
thf(1819,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk25 ) ),
inference(paramod_ordered,[status(thm)],[149,465]) ).
thf(1820,plain,
( ~ ( v1_xboole_0 @ sk25 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1819:[bind(A,$thf( sk25 ))]]) ).
thf(5647,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk25 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1820]) ).
thf(5648,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk25 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5647:[bind(A,$thf( sk25 ))]]) ).
thf(10752,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk25 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5648,146]) ).
thf(10753,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk25 ) ) ),
inference(pattern_uni,[status(thm)],[10752:[bind(A,$thf( k5_waybel34 @ sk25 ))]]) ).
thf(234,plain,
v6_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(3131,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,3051]) ).
thf(3132,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3131:[bind(A,$thf( sk12 ))]]) ).
thf(6520,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,3132]) ).
thf(6527,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[6520]) ).
thf(105,axiom,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
thf(563,plain,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(567,plain,
v3_lattice3 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1945,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_lattice3 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,567]) ).
thf(1946,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1945:[bind(A,$thf( sk29 ))]]) ).
thf(5581,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1946]) ).
thf(5582,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5581:[bind(A,$thf( sk29 ))]]) ).
thf(1004,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,383]) ).
thf(1005,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1004:[bind(A,$thf( sk21 ))]]) ).
thf(69,axiom,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_lattice3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
thf(419,plain,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_orders_2 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_lattice3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(422,plain,
v1_orders_2 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(421,plain,
v3_lattice3 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(134,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( v3_lattice3 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3 ),
inference(cnf,[status(esa)],[131]) ).
thf(1685,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v3_lattice3 @ sk23 )
!= ( v3_lattice3 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[421,134]) ).
thf(1690,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 ) ),
inference(simp,[status(thm)],[1685]) ).
thf(8962,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( ( v1_orders_2 @ sk23 )
!= ( v1_orders_2 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[422,1690]) ).
thf(8987,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( sk23 != sk2 ) ),
inference(simp,[status(thm)],[8962]) ).
thf(8996,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 ) ),
inference(simp,[status(thm)],[8987]) ).
thf(9192,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,8996]) ).
thf(9193,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 ) ),
inference(pattern_uni,[status(thm)],[9192:[bind(A,$thf( sk2 ))]]) ).
thf(11047,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9193]) ).
thf(11085,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[11047]) ).
thf(14467,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,11085]) ).
thf(14468,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[14467:[bind(A,$thf( sk23 ))]]) ).
thf(217,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(5643,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2343]) ).
thf(5644,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5643:[bind(A,$thf( sk31 ))]]) ).
thf(21209,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ sk12 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3028,401]) ).
thf(21210,plain,
m1_pboole @ ( u1_altcat_1 @ sk12 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[21209:[bind(A,$thf( sk12 ))]]) ).
thf(22199,plain,
! [B: $i,A: $i] :
( ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk12 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ) )
!= ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[21210,245]) ).
thf(22200,plain,
m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[22199:[bind(A,$thf( u1_struct_0 @ sk12 )),bind(B,$thf( u1_altcat_1 @ sk12 ))]]) ).
thf(23703,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22200,365]) ).
thf(23704,plain,
v1_funct_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[23703:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ))]]) ).
thf(59,axiom,
! [A: $i] :
( ( ( v4_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v4_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel_8) ).
thf(379,plain,
! [A: $i] :
( ( ( v4_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v4_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(565,plain,
v3_yellow_0 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1833,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_yellow_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,565]) ).
thf(1834,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v3_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1833:[bind(A,$thf( sk29 ))]]) ).
thf(4577,plain,
( ( v3_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1834]) ).
thf(4592,plain,
( ( v3_yellow_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4577]) ).
thf(231,plain,
v4_yellow18 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(851,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_yellow18 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,231]) ).
thf(852,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v4_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[851:[bind(A,$thf( sk12 ))]]) ).
thf(3170,plain,
( ( v4_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,852]) ).
thf(3185,plain,
( ( v4_yellow18 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3170]) ).
thf(66,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v4_ordinal2 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_membered) ).
thf(405,plain,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v4_ordinal2 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(408,plain,
! [B: $i,A: $i] :
( ~ ( v5_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ),
inference(cnf,[status(esa)],[405]) ).
thf(47,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
thf(328,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(330,plain,
v1_xboole_0 @ sk15,
inference(cnf,[status(esa)],[328]) ).
thf(89,axiom,
? [A: $i] :
~ ( v2_setfam_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_setfam_1) ).
thf(493,plain,
? [A: $i] :
~ ( v2_setfam_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(494,plain,
~ ! [A: $i] : ( v2_setfam_1 @ A ),
inference(miniscope,[status(thm)],[493]) ).
thf(495,plain,
~ ( v2_setfam_1 @ sk26 ),
inference(cnf,[status(esa)],[494]) ).
thf(831,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( A != sk26 ) ),
inference(paramod_ordered,[status(thm)],[149,495]) ).
thf(832,plain,
( ~ ( v1_xboole_0 @ sk26 )
| ~ ( v2_setfam_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[831:[bind(A,$thf( sk26 ))]]) ).
thf(1735,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk26 )
!= ( v1_xboole_0 @ sk15 ) ) ),
inference(paramod_ordered,[status(thm)],[330,832]) ).
thf(1744,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( sk26 != sk15 ) ),
inference(simp,[status(thm)],[1735]) ).
thf(926,plain,
! [A: $i] :
( ( A = k1_xboole_0 )
| ( ( v1_xboole_0 @ sk15 )
!= ( v1_xboole_0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[330,149]) ).
thf(927,plain,
sk15 = k1_xboole_0,
inference(pattern_uni,[status(thm)],[926:[bind(A,$thf( sk15 ))]]) ).
thf(2976,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( sk26 != k1_xboole_0 ) ),
inference(rewrite,[status(thm)],[1744,927]) ).
thf(426,plain,
~ ( v3_struct_0 @ sk23 ),
inference(cnf,[status(esa)],[419]) ).
thf(761,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,426]) ).
thf(762,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[761:[bind(A,$thf( sk23 ))]]) ).
thf(144,plain,
l1_orders_2 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(20982,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk2 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[144,399]) ).
thf(20983,plain,
l1_struct_0 @ sk2,
inference(pattern_uni,[status(thm)],[20982:[bind(A,$thf( sk2 ))]]) ).
thf(21023,plain,
! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( l1_struct_0 @ sk2 )
!= ( l1_struct_0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[20983,393]) ).
thf(21024,plain,
( ( v3_struct_0 @ sk2 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[21023:[bind(A,$thf( sk2 ))]]) ).
thf(16,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(191,plain,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(192,plain,
~ ( v3_struct_0 @ sk6 ),
inference(cnf,[status(esa)],[191]) ).
thf(21532,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk6 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,192]) ).
thf(21585,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk6 != sk2 ) ),
inference(simp,[status(thm)],[21532]) ).
thf(136,plain,
~ ( v2_setfam_1 @ sk1 ),
inference(cnf,[status(esa)],[131]) ).
thf(763,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[149,136]) ).
thf(764,plain,
( ~ ( v1_xboole_0 @ sk1 )
| ~ ( v2_setfam_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[763:[bind(A,$thf( sk1 ))]]) ).
thf(5641,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,764]) ).
thf(5642,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk1 ) )
| ~ ( v2_setfam_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5641:[bind(A,$thf( sk1 ))]]) ).
thf(6218,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk1 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5642,146]) ).
thf(6219,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[6218:[bind(A,$thf( k5_waybel34 @ sk1 ))]]) ).
thf(3048,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,3028]) ).
thf(3049,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3048:[bind(A,$thf( sk12 ))]]) ).
thf(6485,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3049]) ).
thf(6486,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6485:[bind(A,$thf( sk12 ))]]) ).
thf(13060,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ k1_xboole_0 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[6486]) ).
thf(13062,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk12 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[13060]) ).
thf(3039,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[149,3026]) ).
thf(3040,plain,
( ~ ( v1_xboole_0 @ sk5 )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3039:[bind(A,$thf( sk5 ))]]) ).
thf(40,axiom,
! [A: $i] : ( l1_struct_0 @ ( k1_yellow21 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow21) ).
thf(307,plain,
! [A: $i] : ( l1_struct_0 @ ( k1_yellow21 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(308,plain,
! [A: $i] : ( l1_struct_0 @ ( k1_yellow21 @ A ) ),
inference(cnf,[status(esa)],[307]) ).
thf(19080,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk12 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,19079]) ).
thf(19081,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[19080:[bind(A,$thf( u1_struct_0 @ sk12 ))]]) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(440,plain,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(123,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v6_altcat_1 @ B )
& ( v3_altcat_2 @ B @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ B @ ( k5_waybel34 @ A ) ) )
=> ( ( B
= ( k9_waybel34 @ A ) )
<=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ B ) )
=> ( ( ( E = C )
& ( F = D ) )
=> ( ( ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D )
= k1_xboole_0 )
| ! [G: $i] :
( ( m1_subset_1 @ G @ ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D ) )
=> ( ( r2_hidden @ G @ ( k1_altcat_1 @ B @ E @ F ) )
<=> ( v22_waybel_0 @ ( k2_waybel34 @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) @ ( k5_yellow21 @ ( k5_waybel34 @ A ) @ C @ D @ G ) ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel34) ).
thf(655,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v6_altcat_1 @ B )
& ( v3_altcat_2 @ B @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ B @ ( k5_waybel34 @ A ) ) )
=> ( ( ( B
= ( k9_waybel34 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ B ) )
=> ( ( ( E = C )
& ( F = D ) )
=> ( ( ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D )
= k1_xboole_0 )
| ! [G: $i] :
( ( m1_subset_1 @ G @ ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D ) )
=> ( ( ( r2_hidden @ G @ ( k1_altcat_1 @ B @ E @ F ) )
=> ( v22_waybel_0 @ ( k2_waybel34 @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) @ ( k5_yellow21 @ ( k5_waybel34 @ A ) @ C @ D @ G ) ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) ) )
& ( ( v22_waybel_0 @ ( k2_waybel34 @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) @ ( k5_yellow21 @ ( k5_waybel34 @ A ) @ C @ D @ G ) ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) )
=> ( r2_hidden @ G @ ( k1_altcat_1 @ B @ E @ F ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ B ) )
=> ( ( ( E = C )
& ( F = D ) )
=> ( ( ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D )
= k1_xboole_0 )
| ! [G: $i] :
( ( m1_subset_1 @ G @ ( k1_altcat_1 @ ( k5_waybel34 @ A ) @ C @ D ) )
=> ( ( ( r2_hidden @ G @ ( k1_altcat_1 @ B @ E @ F ) )
=> ( v22_waybel_0 @ ( k2_waybel34 @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) @ ( k5_yellow21 @ ( k5_waybel34 @ A ) @ C @ D @ G ) ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) ) )
& ( ( v22_waybel_0 @ ( k2_waybel34 @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) @ ( k5_yellow21 @ ( k5_waybel34 @ A ) @ C @ D @ G ) ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ D ) @ ( k3_yellow21 @ ( k5_waybel34 @ A ) @ C ) )
=> ( r2_hidden @ G @ ( k1_altcat_1 @ B @ E @ F ) ) ) ) ) ) ) ) ) ) ) )
=> ( B
= ( k9_waybel34 @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(114,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
thf(614,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(32,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B )
& ( v3_yellow18 @ B )
& ( v4_yellow18 @ B )
& ( v1_yellow21 @ B )
& ( v2_yellow21 @ B )
& ( v3_yellow21 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_yellow21) ).
thf(261,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B )
& ( v3_yellow18 @ B )
& ( v4_yellow18 @ B )
& ( v1_yellow21 @ B )
& ( v2_yellow21 @ B )
& ( v3_yellow21 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(269,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v4_yellow18 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(20,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(202,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(597,plain,
v3_orders_2 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(571,plain,
v4_orders_2 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1967,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,571]) ).
thf(1968,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1967:[bind(A,$thf( sk29 ))]]) ).
thf(5613,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1968]) ).
thf(5614,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5613:[bind(A,$thf( sk29 ))]]) ).
thf(21528,plain,
( ( v3_struct_0 @ sk2 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,21024]) ).
thf(21589,plain,
( ( v3_struct_0 @ sk2 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[21528]) ).
thf(386,plain,
~ ( v3_struct_0 @ sk21 ),
inference(cnf,[status(esa)],[382]) ).
thf(22744,plain,
( ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 )
| ( ( v3_struct_0 @ sk21 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21589,386]) ).
thf(22770,plain,
( ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 )
| ( sk21 != sk2 ) ),
inference(simp,[status(thm)],[22744]) ).
thf(236,plain,
v2_yellow21 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(893,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_yellow21 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,236]) ).
thf(894,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v2_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[893:[bind(A,$thf( sk12 ))]]) ).
thf(3367,plain,
( ( v2_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,894]) ).
thf(3382,plain,
( ( v2_yellow21 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3367]) ).
thf(384,plain,
v1_orders_2 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(83,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
<=> ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_waybel34) ).
thf(472,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) )
=> ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) ) )
& ( ( ( v1_orders_2 @ B )
& ( v3_lattice3 @ B )
& ( r2_hidden @ ( u1_struct_0 @ B ) @ A ) )
=> ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k5_waybel34 @ A ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(204,plain,
~ ( v1_xboole_0 @ sk9 ),
inference(cnf,[status(esa)],[202]) ).
thf(5633,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk9 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,204]) ).
thf(5634,plain,
l1_altcat_1 @ ( k5_waybel34 @ sk9 ),
inference(pattern_uni,[status(thm)],[5633:[bind(A,$thf( sk9 ))]]) ).
thf(5860,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk9 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5634]) ).
thf(5861,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk9 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5860:[bind(A,$thf( k5_waybel34 @ sk9 ))]]) ).
thf(12521,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( k5_waybel34 @ sk9 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,5861]) ).
thf(12522,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ ( k5_waybel34 @ sk9 ) ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[12521:[bind(A,$thf( k5_waybel34 @ sk9 ))]]) ).
thf(423,plain,
v3_orders_2 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(1701,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,423]) ).
thf(1702,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1701:[bind(A,$thf( sk23 ))]]) ).
thf(5673,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1702]) ).
thf(5674,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5673:[bind(A,$thf( sk23 ))]]) ).
thf(573,plain,
v1_yellow_0 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(2041,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_yellow_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,573]) ).
thf(2042,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v1_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2041:[bind(A,$thf( sk29 ))]]) ).
thf(24,axiom,
? [A: $i] : ( l2_altcat_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l2_altcat_1) ).
thf(220,plain,
? [A: $i] : ( l2_altcat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(221,plain,
l2_altcat_1 @ sk11,
inference(cnf,[status(esa)],[220]) ).
thf(3019,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
| ( ( l2_altcat_1 @ sk11 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[221,223]) ).
thf(3020,plain,
l1_altcat_1 @ sk11,
inference(pattern_uni,[status(thm)],[3019:[bind(A,$thf( sk11 ))]]) ).
thf(3032,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ sk11 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3020,146]) ).
thf(3033,plain,
l1_struct_0 @ sk11,
inference(pattern_uni,[status(thm)],[3032:[bind(A,$thf( sk11 ))]]) ).
thf(3057,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk11 ) ),
inference(paramod_ordered,[status(thm)],[149,3033]) ).
thf(3058,plain,
( ~ ( v1_xboole_0 @ sk11 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3057:[bind(A,$thf( sk11 ))]]) ).
thf(6498,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk11 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,3058]) ).
thf(6505,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk11 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[6498]) ).
thf(775,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( A != sk11 ) ),
inference(paramod_ordered,[status(thm)],[149,221]) ).
thf(776,plain,
( ~ ( v1_xboole_0 @ sk11 )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[775:[bind(A,$thf( sk11 ))]]) ).
thf(3021,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ sk11 )
| ( l1_altcat_1 @ A )
| ( ( l2_altcat_1 @ k1_xboole_0 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[776,223]) ).
thf(3022,plain,
( ~ ( v1_xboole_0 @ sk11 )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3021:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(6356,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3022]) ).
thf(6357,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6356:[bind(A,$thf( sk11 ))]]) ).
thf(12850,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
!= ( l1_altcat_1 @ k1_xboole_0 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[6357]) ).
thf(12852,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk11 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12850]) ).
thf(564,plain,
l1_orders_2 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1826,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,564]) ).
thf(1827,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1826:[bind(A,$thf( sk29 ))]]) ).
thf(4568,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1827]) ).
thf(4575,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4568]) ).
thf(98,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_setfam_1) ).
thf(533,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(22687,plain,
( ( sk6 != sk2 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,21585]) ).
thf(22706,plain,
( ( sk6 != sk2 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[22687]) ).
thf(550,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(230,plain,
v2_yellow18 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(813,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_yellow18 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,230]) ).
thf(814,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v2_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[813:[bind(A,$thf( sk12 ))]]) ).
thf(8,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(160,plain,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(161,plain,
~ ? [A: $i] :
( ( v1_xboole_0 @ A )
& ? [B: $i] :
( ( A != B )
& ( v1_xboole_0 @ B ) ) ),
inference(miniscope,[status(thm)],[160]) ).
thf(162,plain,
! [B: $i,A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = B )
| ~ ( v1_xboole_0 @ B ) ),
inference(cnf,[status(esa)],[161]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ),
inference(lifteq,[status(thm)],[162]) ).
thf(9216,plain,
! [B: $i,A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 )
| ( B != sk23 ) ),
inference(paramod_ordered,[status(thm)],[163,8996]) ).
thf(9217,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[9216:[bind(A,$thf( A )),bind(B,$thf( sk23 ))]]) ).
thf(9218,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[9217]) ).
thf(21155,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[19081,401]) ).
thf(21156,plain,
m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) ),
inference(pattern_uni,[status(thm)],[21155:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ))]]) ).
thf(125,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_membered) ).
thf(698,plain,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(576,plain,
v3_orders_2 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(2062,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,576]) ).
thf(2063,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2062:[bind(A,$thf( sk29 ))]]) ).
thf(5707,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2063]) ).
thf(5708,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5707:[bind(A,$thf( sk29 ))]]) ).
thf(568,plain,
v1_lattice3 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1953,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_lattice3 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,568]) ).
thf(1954,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1953:[bind(A,$thf( sk29 ))]]) ).
thf(2192,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,597]) ).
thf(2193,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2192:[bind(A,$thf( sk31 ))]]) ).
thf(5635,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2193]) ).
thf(5636,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5635:[bind(A,$thf( sk31 ))]]) ).
thf(49,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B )
& ( v3_yellow18 @ B )
& ( v4_yellow18 @ B )
& ( v1_yellow21 @ B )
& ( v2_yellow21 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_yellow21) ).
thf(338,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B )
& ( v3_yellow18 @ B )
& ( v4_yellow18 @ B )
& ( v1_yellow21 @ B )
& ( v2_yellow21 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(340,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v2_yellow21 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(577,plain,
v1_orders_2 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1944,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v3_lattice3 @ sk29 )
!= ( v3_lattice3 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[567,134]) ).
thf(1951,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 ) ),
inference(simp,[status(thm)],[1944]) ).
thf(9440,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 )
| ( ( v1_orders_2 @ sk29 )
!= ( v1_orders_2 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[577,1951]) ).
thf(9471,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 )
| ( sk29 != sk2 ) ),
inference(simp,[status(thm)],[9440]) ).
thf(9481,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 ) ),
inference(simp,[status(thm)],[9471]) ).
thf(6367,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3040]) ).
thf(6368,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6367:[bind(A,$thf( sk5 ))]]) ).
thf(13027,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ k1_xboole_0 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[6368]) ).
thf(13029,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk5 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[13027]) ).
thf(141,plain,
v1_lattice3 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(789,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_lattice3 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,141]) ).
thf(790,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[789:[bind(A,$thf( sk2 ))]]) ).
thf(5701,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,790]) ).
thf(5702,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5701:[bind(A,$thf( sk2 ))]]) ).
thf(6235,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v1_lattice3 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5702]) ).
thf(6236,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6235:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(390,plain,
v3_lattice3 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(1008,plain,
( ~ ( v3_lattice3 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v1_orders_2 @ sk21 )
!= ( v1_orders_2 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[384,134]) ).
thf(1009,plain,
( ~ ( v3_lattice3 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 ) ),
inference(simp,[status(thm)],[1008]) ).
thf(8642,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 )
| ( ( v3_lattice3 @ sk21 )
!= ( v3_lattice3 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[390,1009]) ).
thf(8670,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 )
| ( sk21 != sk2 ) ),
inference(simp,[status(thm)],[8642]) ).
thf(8678,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 ) ),
inference(simp,[status(thm)],[8670]) ).
thf(8686,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,8678]) ).
thf(8687,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8686:[bind(A,$thf( sk21 ))]]) ).
thf(10563,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,8687]) ).
thf(10599,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[10563]) ).
thf(781,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk6 ) ),
inference(paramod_ordered,[status(thm)],[149,192]) ).
thf(782,plain,
( ~ ( v1_xboole_0 @ sk6 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[781:[bind(A,$thf( sk6 ))]]) ).
thf(9194,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk23 != sk2 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[149,8996]) ).
thf(9195,plain,
( ~ ( v1_xboole_0 @ sk1 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk23 != sk2 ) ),
inference(pattern_uni,[status(thm)],[9194:[bind(A,$thf( sk1 ))]]) ).
thf(38,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow21) ).
thf(293,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(301,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ( v2_yellow18 @ A ) ),
inference(cnf,[status(esa)],[293]) ).
thf(819,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,386]) ).
thf(820,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[819:[bind(A,$thf( sk21 ))]]) ).
thf(1714,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,820]) ).
thf(1724,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[1714]) ).
thf(22473,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk5 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21306,364]) ).
thf(22474,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk5 ),
inference(pattern_uni,[status(thm)],[22473:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) )),bind(B,$thf( u1_altcat_1 @ sk5 ))]]) ).
thf(4956,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2063]) ).
thf(4963,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4956]) ).
thf(240,plain,
v9_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(899,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v9_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,240]) ).
thf(900,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v9_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[899:[bind(A,$thf( sk12 ))]]) ).
thf(3582,plain,
( ( v9_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,900]) ).
thf(3597,plain,
( ( v9_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3582]) ).
thf(18138,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[393,426]) ).
thf(18139,plain,
( ~ ( l1_struct_0 @ sk23 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[18138:[bind(A,$thf( sk23 ))]]) ).
thf(425,plain,
l1_orders_2 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(20980,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk23 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[425,399]) ).
thf(20981,plain,
l1_struct_0 @ sk23,
inference(pattern_uni,[status(thm)],[20980:[bind(A,$thf( sk23 ))]]) ).
thf(21004,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk23 ) ) ),
inference(rewrite,[status(thm)],[18139,20981]) ).
thf(21005,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk23 ) ),
inference(simp,[status(thm)],[21004]) ).
thf(21066,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk23 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,21005]) ).
thf(21079,plain,
( ( u1_struct_0 @ sk23 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[21066]) ).
thf(122,axiom,
! [A: $i] :
( ( ( v1_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel_8) ).
thf(651,plain,
! [A: $i] :
( ( ( v1_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(11,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(174,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(65,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k3_yellow21 @ A @ B )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_yellow21) ).
thf(402,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k3_yellow21 @ A @ B )
= B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(403,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
| ( ( k3_yellow21 @ A @ B )
= B ) ),
inference(cnf,[status(esa)],[402]) ).
thf(404,plain,
! [B: $i,A: $i] :
( ( ( k3_yellow21 @ A @ B )
= B )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ),
inference(lifteq,[status(thm)],[403]) ).
thf(239,plain,
v3_yellow18 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(897,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_yellow18 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,239]) ).
thf(898,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v3_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[897:[bind(A,$thf( sk12 ))]]) ).
thf(185,plain,
v1_membered @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(57,axiom,
? [A: $i] : ( l1_altcat_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_altcat_1) ).
thf(375,plain,
? [A: $i] : ( l1_altcat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(376,plain,
l1_altcat_1 @ sk19,
inference(cnf,[status(esa)],[375]) ).
thf(1000,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A != sk19 ) ),
inference(paramod_ordered,[status(thm)],[149,376]) ).
thf(1001,plain,
( ~ ( v1_xboole_0 @ sk19 )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1000:[bind(A,$thf( sk19 ))]]) ).
thf(193,plain,
l1_struct_0 @ sk6,
inference(cnf,[status(esa)],[191]) ).
thf(749,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk6 ) ),
inference(paramod_ordered,[status(thm)],[149,193]) ).
thf(750,plain,
( ~ ( v1_xboole_0 @ sk6 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[749:[bind(A,$thf( sk6 ))]]) ).
thf(2716,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk6 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,750]) ).
thf(2723,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk6 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2716]) ).
thf(18044,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[393,192]) ).
thf(18045,plain,
( ~ ( l1_struct_0 @ sk6 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk6 ) ) ),
inference(pattern_uni,[status(thm)],[18044:[bind(A,$thf( sk6 ))]]) ).
thf(18495,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk6 ) ) ),
inference(rewrite,[status(thm)],[18045,193]) ).
thf(18496,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk6 ) ),
inference(simp,[status(thm)],[18495]) ).
thf(1600,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_lattice3 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,390]) ).
thf(1601,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1600:[bind(A,$thf( sk21 ))]]) ).
thf(43,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ( v2_membered @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).
thf(320,plain,
! [A: $i] :
( ( v3_membered @ A )
=> ( v2_membered @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(389,plain,
v1_lattice3 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(5864,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk9 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5634,146]) ).
thf(5865,plain,
l1_struct_0 @ ( k5_waybel34 @ sk9 ),
inference(pattern_uni,[status(thm)],[5864:[bind(A,$thf( k5_waybel34 @ sk9 ))]]) ).
thf(5890,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk9 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5865]) ).
thf(5891,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk9 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5890:[bind(A,$thf( k5_waybel34 @ sk9 ))]]) ).
thf(12819,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk9 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5891]) ).
thf(12832,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk9 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12819]) ).
thf(55,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(371,plain,
? [A: $i] : ( l1_struct_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(372,plain,
l1_struct_0 @ sk17,
inference(cnf,[status(esa)],[371]) ).
thf(805,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,144]) ).
thf(806,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[805:[bind(A,$thf( sk2 ))]]) ).
thf(5589,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,806]) ).
thf(5590,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5589:[bind(A,$thf( sk2 ))]]) ).
thf(5734,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5590,146]) ).
thf(5735,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[5734:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(6412,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5735]) ).
thf(6413,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6412:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(14016,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6413]) ).
thf(14029,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[14016]) ).
thf(137,plain,
v2_lattice3 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(783,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_lattice3 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,137]) ).
thf(784,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[783:[bind(A,$thf( sk2 ))]]) ).
thf(5639,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,784]) ).
thf(5640,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5639:[bind(A,$thf( sk2 ))]]) ).
thf(52,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
thf(356,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(357,plain,
v3_membered @ sk16,
inference(cnf,[status(esa)],[356]) ).
thf(570,plain,
~ ( v3_struct_0 @ sk29 ),
inference(cnf,[status(esa)],[563]) ).
thf(18170,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[393,386]) ).
thf(18171,plain,
( ~ ( l1_struct_0 @ sk21 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[18170:[bind(A,$thf( sk21 ))]]) ).
thf(21100,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk21 ) ) ),
inference(rewrite,[status(thm)],[18171,20993]) ).
thf(21101,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk21 ) ),
inference(simp,[status(thm)],[21100]) ).
thf(801,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,237]) ).
thf(802,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[801:[bind(A,$thf( sk12 ))]]) ).
thf(344,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_altcat_2 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(9489,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,9481]) ).
thf(9490,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[9489:[bind(A,$thf( sk29 ))]]) ).
thf(12542,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9490]) ).
thf(12578,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[12542]) ).
thf(5711,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1827]) ).
thf(5712,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5711:[bind(A,$thf( sk29 ))]]) ).
thf(6518,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3132]) ).
thf(6519,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6518:[bind(A,$thf( sk12 ))]]) ).
thf(1692,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_orders_2 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,422]) ).
thf(1693,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1692:[bind(A,$thf( sk23 ))]]) ).
thf(5705,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1693]) ).
thf(5706,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5705:[bind(A,$thf( sk23 ))]]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ? [D: $i] : ( m3_pboole @ D @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m3_pboole) ).
thf(196,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ? [D: $i] : ( m3_pboole @ D @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4421,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1702]) ).
thf(4428,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4421]) ).
thf(80,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).
thf(460,plain,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_pboole @ C @ A )
& ( m1_pboole @ D @ B ) )
=> ( r2_altcat_2 @ A @ B @ C @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_altcat_2) ).
thf(157,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_pboole @ C @ A )
& ( m1_pboole @ D @ B ) )
=> ( r2_altcat_2 @ A @ B @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8705,plain,
! [B: $i,A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 )
| ( B != sk21 ) ),
inference(paramod_ordered,[status(thm)],[163,8678]) ).
thf(8706,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[8705:[bind(A,$thf( A )),bind(B,$thf( sk21 ))]]) ).
thf(8707,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[8706]) ).
thf(10619,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,8707]) ).
thf(10620,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(pattern_uni,[status(thm)],[10619:[bind(A,$thf( sk2 ))]]) ).
thf(10655,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[10620]) ).
thf(6239,plain,
! [A: $i] :
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5702,146]) ).
thf(6240,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[6239:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(12836,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6357]) ).
thf(12837,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk11 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[12836:[bind(A,$thf( k5_waybel34 @ sk11 ))]]) ).
thf(21343,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ sk11 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3020,401]) ).
thf(21344,plain,
m1_pboole @ ( u1_altcat_1 @ sk11 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ),
inference(pattern_uni,[status(thm)],[21343:[bind(A,$thf( sk11 ))]]) ).
thf(22575,plain,
! [B: $i,A: $i] :
( ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk11 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ) )
!= ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[21344,245]) ).
thf(22576,plain,
m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ),
inference(pattern_uni,[status(thm)],[22575:[bind(A,$thf( u1_struct_0 @ sk11 )),bind(B,$thf( u1_altcat_1 @ sk11 ))]]) ).
thf(574,plain,
v2_lattice3 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(2048,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_lattice3 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,574]) ).
thf(2049,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2048:[bind(A,$thf( sk29 ))]]) ).
thf(56,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ? [B: $i] : ( m1_altcat_2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_altcat_2) ).
thf(373,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ? [B: $i] : ( m1_altcat_2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(374,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( m1_altcat_2 @ ( sk18 @ A ) @ A ) ),
inference(cnf,[status(esa)],[373]) ).
thf(16872,plain,
! [A: $i] :
( ( m1_altcat_2 @ ( sk18 @ A ) @ A )
| ( ( l2_altcat_1 @ sk5 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[183,374]) ).
thf(16873,plain,
m1_altcat_2 @ ( sk18 @ sk5 ) @ sk5,
inference(pattern_uni,[status(thm)],[16872:[bind(A,$thf( sk5 ))]]) ).
thf(241,plain,
v2_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(905,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,241]) ).
thf(906,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[905:[bind(A,$thf( sk12 ))]]) ).
thf(5621,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,906]) ).
thf(5622,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5621:[bind(A,$thf( sk12 ))]]) ).
thf(45,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ( v4_membered @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).
thf(324,plain,
! [A: $i] :
( ( v5_membered @ A )
=> ( v4_membered @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(325,plain,
! [A: $i] :
( ~ ( v5_membered @ A )
| ( v4_membered @ A ) ),
inference(cnf,[status(esa)],[324]) ).
thf(228,plain,
v3_yellow21 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(36,axiom,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
thf(286,plain,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(289,plain,
! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v2_funct_1 @ A ) ),
inference(cnf,[status(esa)],[286]) ).
thf(75,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
thf(448,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(3534,plain,
( ( v12_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,896]) ).
thf(3557,plain,
( ( v12_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3534]) ).
thf(596,plain,
~ ( v3_struct_0 @ sk31 ),
inference(cnf,[status(esa)],[592]) ).
thf(18204,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[393,596]) ).
thf(18205,plain,
( ~ ( l1_struct_0 @ sk31 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[18204:[bind(A,$thf( sk31 ))]]) ).
thf(599,plain,
l1_orders_2 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(20984,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk31 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[599,399]) ).
thf(20985,plain,
l1_struct_0 @ sk31,
inference(pattern_uni,[status(thm)],[20984:[bind(A,$thf( sk31 ))]]) ).
thf(21036,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk31 ) ) ),
inference(rewrite,[status(thm)],[18205,20985]) ).
thf(21037,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk31 ) ),
inference(simp,[status(thm)],[21036]) ).
thf(360,plain,
~ ( v1_xboole_0 @ sk16 ),
inference(cnf,[status(esa)],[356]) ).
thf(5619,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,360]) ).
thf(5620,plain,
l1_altcat_1 @ ( k5_waybel34 @ sk16 ),
inference(pattern_uni,[status(thm)],[5619:[bind(A,$thf( sk16 ))]]) ).
thf(5844,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5620]) ).
thf(5845,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk16 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5844:[bind(A,$thf( k5_waybel34 @ sk16 ))]]) ).
thf(12504,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk16 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5845]) ).
thf(12517,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk16 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12504]) ).
thf(24039,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22422,365]) ).
thf(24040,plain,
v1_funct_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[24039:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_altcat_1 @ sk5 ) ))]]) ).
thf(10686,plain,
! [A: $i] :
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5636,146]) ).
thf(10687,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10686:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(2104,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_orders_2 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,577]) ).
thf(2105,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2104:[bind(A,$thf( sk29 ))]]) ).
thf(5591,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2105]) ).
thf(5592,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5591:[bind(A,$thf( sk29 ))]]) ).
thf(8716,plain,
! [A: $i] :
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5592,146]) ).
thf(8717,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[8716:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(2744,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk11 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,776]) ).
thf(2767,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( sk11 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2744]) ).
thf(35,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(284,plain,
! [A: $i] : ( r1_tarski @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(737,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,138]) ).
thf(738,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[737:[bind(A,$thf( sk2 ))]]) ).
thf(5617,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,738]) ).
thf(5618,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5617:[bind(A,$thf( sk2 ))]]) ).
thf(5924,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5618]) ).
thf(5925,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5924:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(68,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_membered) ).
thf(415,plain,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_rat_1 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(416,plain,
! [B: $i,A: $i] :
( ~ ( v3_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ),
inference(cnf,[status(esa)],[415]) ).
thf(182,plain,
~ ( v3_struct_0 @ sk5 ),
inference(cnf,[status(esa)],[180]) ).
thf(18168,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[393,182]) ).
thf(18169,plain,
( ~ ( l1_struct_0 @ sk5 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[18168:[bind(A,$thf( sk5 ))]]) ).
thf(3041,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ sk5 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3026,146]) ).
thf(3042,plain,
l1_struct_0 @ sk5,
inference(pattern_uni,[status(thm)],[3041:[bind(A,$thf( sk5 ))]]) ).
thf(19900,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk5 ) ) ),
inference(rewrite,[status(thm)],[18169,3042]) ).
thf(19901,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk5 ) ),
inference(simp,[status(thm)],[19900]) ).
thf(19902,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,19901]) ).
thf(19903,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[19902:[bind(A,$thf( u1_struct_0 @ sk5 ))]]) ).
thf(19926,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk5 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[19903,146]) ).
thf(19927,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[19926:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk5 ) ))]]) ).
thf(19119,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[19081,146]) ).
thf(19120,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[19119:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ))]]) ).
thf(11094,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk23 != sk2 )
| ( ( v1_xboole_0 @ sk1 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9195]) ).
thf(11132,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk23 != sk2 )
| ( sk1 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[11094]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(152,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m2_relset_1 @ C @ A @ B )
=> ( m1_relset_1 @ C @ A @ B ) )
& ( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(140,plain,
( sk3
| ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 ) ),
inference(cnf,[status(esa)],[131]) ).
thf(755,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| sk3
| ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,140]) ).
thf(756,plain,
( ~ ( v1_xboole_0 @ sk2 )
| sk3
| ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[755:[bind(A,$thf( sk2 ))]]) ).
thf(387,plain,
v3_orders_2 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(1579,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,387]) ).
thf(1580,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1579:[bind(A,$thf( sk21 ))]]) ).
thf(4166,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1580]) ).
thf(4173,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4166]) ).
thf(3693,plain,
( ( v2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,906]) ).
thf(3724,plain,
( ( v2_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3693]) ).
thf(116,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_8) ).
thf(623,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(5557,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,760]) ).
thf(5558,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| sk3
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5557:[bind(A,$thf( sk2 ))]]) ).
thf(572,plain,
v25_waybel_0 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1977,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v25_waybel_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,572]) ).
thf(1978,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v25_waybel_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1977:[bind(A,$thf( sk29 ))]]) ).
thf(93,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v24_waybel_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel_8) ).
thf(514,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v24_waybel_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(420,plain,
v4_orders_2 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(1676,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,420]) ).
thf(1677,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1676:[bind(A,$thf( sk23 ))]]) ).
thf(5681,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1834]) ).
thf(5682,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v3_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5681:[bind(A,$thf( sk29 ))]]) ).
thf(216,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(9,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(164,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ( v3_membered @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).
thf(178,plain,
! [A: $i] :
( ( v4_membered @ A )
=> ( v3_membered @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(179,plain,
! [A: $i] :
( ~ ( v4_membered @ A )
| ( v3_membered @ A ) ),
inference(cnf,[status(esa)],[178]) ).
thf(391,plain,
v4_orders_2 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(1631,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,391]) ).
thf(1632,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1631:[bind(A,$thf( sk21 ))]]) ).
thf(321,plain,
! [A: $i] :
( ~ ( v3_membered @ A )
| ( v2_membered @ A ) ),
inference(cnf,[status(esa)],[320]) ).
thf(849,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[149,183]) ).
thf(850,plain,
( ~ ( v1_xboole_0 @ sk5 )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[849:[bind(A,$thf( sk5 ))]]) ).
thf(3138,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk5 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,850]) ).
thf(3163,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( sk5 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3138]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
= ( g1_orders_2 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
thf(207,plain,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
= ( g1_orders_2 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(209,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( A = C ) ),
inference(cnf,[status(esa)],[207]) ).
thf(211,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( A = C )
| ~ ( m1_relset_1 @ B @ A @ A ) ),
inference(lifteq,[status(thm)],[209]) ).
thf(121,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ! [B: $i] :
( ( l2_altcat_1 @ B )
=> ( ( m1_altcat_2 @ B @ A )
<=> ( ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( r2_altcat_2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_altcat_1 @ B ) @ ( u1_altcat_1 @ A ) )
& ( r2_altcat_2 @ ( k3_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u2_altcat_1 @ B ) @ ( u2_altcat_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_altcat_2) ).
thf(646,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ! [B: $i] :
( ( l2_altcat_1 @ B )
=> ( ( ( m1_altcat_2 @ B @ A )
=> ( ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( r2_altcat_2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_altcat_1 @ B ) @ ( u1_altcat_1 @ A ) )
& ( r2_altcat_2 @ ( k3_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u2_altcat_1 @ B ) @ ( u2_altcat_1 @ A ) ) ) )
& ( ( ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( r2_altcat_2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_altcat_1 @ B ) @ ( u1_altcat_1 @ A ) )
& ( r2_altcat_2 @ ( k3_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u2_altcat_1 @ B ) @ ( u2_altcat_1 @ A ) ) )
=> ( m1_altcat_2 @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(31,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow18 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v3_yellow18 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow21) ).
thf(253,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow18 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v3_yellow18 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(87,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v3_yellow_0 @ A )
=> ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
thf(485,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v3_yellow_0 @ A )
=> ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(566,plain,
v2_orders_2 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1880,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,566]) ).
thf(1881,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1880:[bind(A,$thf( sk29 ))]]) ).
thf(5679,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1881]) ).
thf(5680,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5679:[bind(A,$thf( sk29 ))]]) ).
thf(1593,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_lattice3 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,389]) ).
thf(1594,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1593:[bind(A,$thf( sk21 ))]]) ).
thf(5651,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1594]) ).
thf(5652,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5651:[bind(A,$thf( sk21 ))]]) ).
thf(10785,plain,
! [A: $i] :
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5652,146]) ).
thf(10786,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[10785:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(857,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,234]) ).
thf(858,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v6_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[857:[bind(A,$thf( sk12 ))]]) ).
thf(5649,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v6_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,858]) ).
thf(5650,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v6_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5649:[bind(A,$thf( sk12 ))]]) ).
thf(348,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_yellow21 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) )
=> ( ( v6_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) )
& ( l2_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g2_altcat_1) ).
thf(353,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) )
=> ( ( v6_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) )
& ( l2_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(757,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| sk3
| ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[149,140]) ).
thf(758,plain,
( ~ ( v1_xboole_0 @ sk1 )
| sk3
| ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[757:[bind(A,$thf( sk1 ))]]) ).
thf(8731,plain,
( sk3
| ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk1 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,758]) ).
thf(8759,plain,
( sk3
| ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ( sk1 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[8731]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_funct_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
thf(394,plain,
! [A: $i,B: $i,C: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_funct_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(397,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( v2_orders_2 @ A )
| ~ ( v3_orders_2 @ A )
| ~ ( v4_orders_2 @ A )
| ~ ( v1_lattice3 @ A )
| ~ ( v2_lattice3 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( v2_orders_2 @ B )
| ~ ( v3_orders_2 @ B )
| ~ ( v4_orders_2 @ B )
| ~ ( v1_lattice3 @ B )
| ~ ( v2_lattice3 @ B )
| ~ ( l1_orders_2 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ~ ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ( m2_relset_1 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ),
inference(cnf,[status(esa)],[394]) ).
thf(24540,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22576,364]) ).
thf(24541,plain,
v1_relat_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ),
inference(pattern_uni,[status(thm)],[24540:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ))]]) ).
thf(5623,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,750]) ).
thf(5624,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk6 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5623:[bind(A,$thf( sk6 ))]]) ).
thf(10441,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk6 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5624,146]) ).
thf(10442,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk6 ) ) ),
inference(pattern_uni,[status(thm)],[10441:[bind(A,$thf( k5_waybel34 @ sk6 ))]]) ).
thf(2280,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,599]) ).
thf(2281,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2280:[bind(A,$thf( sk31 ))]]) ).
thf(77,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(453,plain,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(396,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( v2_orders_2 @ A )
| ~ ( v3_orders_2 @ A )
| ~ ( v4_orders_2 @ A )
| ~ ( v1_lattice3 @ A )
| ~ ( v2_lattice3 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( v2_orders_2 @ B )
| ~ ( v3_orders_2 @ B )
| ~ ( v4_orders_2 @ B )
| ~ ( v1_lattice3 @ B )
| ~ ( v2_lattice3 @ B )
| ~ ( l1_orders_2 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ~ ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ( v1_funct_2 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ),
inference(cnf,[status(esa)],[394]) ).
thf(133,plain,
( sk3
| ( v1_orders_2 @ sk2 ) ),
inference(cnf,[status(esa)],[131]) ).
thf(5944,plain,
! [A: $i] :
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5640,146]) ).
thf(5945,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[5944:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(6771,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5945]) ).
thf(6772,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6771:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(67,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
thf(411,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B ) )
=> ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
thf(242,plain,
! [A: $i,B: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B ) )
=> ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(243,plain,
! [B: $i,A: $i] :
( ~ ( v1_finset_1 @ A )
| ~ ( v1_finset_1 @ B )
| ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),
inference(cnf,[status(esa)],[242]) ).
thf(265,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v2_yellow18 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(5715,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,850]) ).
thf(5716,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5715:[bind(A,$thf( sk5 ))]]) ).
thf(12305,plain,
! [A: $i] :
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5716,146]) ).
thf(12306,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[12305:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(21,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(205,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(206,plain,
! [B: $i,A: $i] : ( m1_relset_1 @ ( sk10 @ B @ A ) @ A @ B ),
inference(cnf,[status(esa)],[205]) ).
thf(602,plain,
v1_lattice3 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(5571,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1601]) ).
thf(5572,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5571:[bind(A,$thf( sk21 ))]]) ).
thf(132,plain,
v2_orders_2 @ sk2,
inference(cnf,[status(esa)],[131]) ).
thf(777,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,132]) ).
thf(778,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[777:[bind(A,$thf( sk2 ))]]) ).
thf(5597,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,778]) ).
thf(5598,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5597:[bind(A,$thf( sk2 ))]]) ).
thf(5746,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5598]) ).
thf(5747,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5746:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(11926,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5747]) ).
thf(11939,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[11926]) ).
thf(5928,plain,
! [A: $i] :
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5618,146]) ).
thf(5929,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[5928:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(5213,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2193]) ).
thf(5220,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5213]) ).
thf(119,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( v2_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v3_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v4_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v1_lattice3 @ ( k3_yellow21 @ A @ B ) )
& ( v2_lattice3 @ ( k3_yellow21 @ A @ B ) )
& ( l1_orders_2 @ ( k3_yellow21 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow21) ).
thf(634,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( v2_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v3_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v4_orders_2 @ ( k3_yellow21 @ A @ B ) )
& ( v1_lattice3 @ ( k3_yellow21 @ A @ B ) )
& ( v2_lattice3 @ ( k3_yellow21 @ A @ B ) )
& ( l1_orders_2 @ ( k3_yellow21 @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(594,plain,
v4_orders_2 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2178,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,594]) ).
thf(2179,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2178:[bind(A,$thf( sk31 ))]]) ).
thf(5089,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2179]) ).
thf(5096,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5089]) ).
thf(12523,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk9 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5861]) ).
thf(12536,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk9 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12523]) ).
thf(733,plain,
( ( v1_xboole_0 @ sk16 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,360]) ).
thf(734,plain,
sk16 != k1_xboole_0,
inference(simp,[status(thm)],[733]) ).
thf(773,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_yellow21 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,228]) ).
thf(774,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v3_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[773:[bind(A,$thf( sk12 ))]]) ).
thf(96,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( v6_altcat_1 @ A )
=> ( A
= ( g2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u2_altcat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v6_altcat_1) ).
thf(527,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( v6_altcat_1 @ A )
=> ( A
= ( g2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u2_altcat_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(42,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v1_yellow21 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_yellow21) ).
thf(312,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_yellow21 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v1_yellow21 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(5577,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,802]) ).
thf(5578,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5577:[bind(A,$thf( sk12 ))]]) ).
thf(10061,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5578,146]) ).
thf(10062,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[10061:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(998,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk17 ) ),
inference(paramod_ordered,[status(thm)],[149,372]) ).
thf(999,plain,
( ~ ( v1_xboole_0 @ sk17 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[998:[bind(A,$thf( sk17 ))]]) ).
thf(5691,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk17 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,999]) ).
thf(5692,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk17 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5691:[bind(A,$thf( sk17 ))]]) ).
thf(11527,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk17 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5692,146]) ).
thf(11528,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[11527:[bind(A,$thf( k5_waybel34 @ sk17 ))]]) ).
thf(233,plain,
v11_altcat_1 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(5750,plain,
! [A: $i] :
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5598,146]) ).
thf(5751,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[5750:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(546,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(19,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
thf(198,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(201,plain,
v1_relat_1 @ sk8,
inference(cnf,[status(esa)],[198]) ).
thf(18497,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk6 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,18496]) ).
thf(18498,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[18497:[bind(A,$thf( u1_struct_0 @ sk6 ))]]) ).
thf(381,plain,
! [A: $i] :
( ~ ( v4_orders_2 @ A )
| ~ ( l1_orders_2 @ A )
| ( v4_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ),
inference(cnf,[status(esa)],[379]) ).
thf(5689,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk26 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,832]) ).
thf(5690,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk26 ) )
| ~ ( v2_setfam_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5689:[bind(A,$thf( sk26 ))]]) ).
thf(11697,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk26 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5690,146]) ).
thf(11698,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk26 ) ) ),
inference(pattern_uni,[status(thm)],[11697:[bind(A,$thf( k5_waybel34 @ sk26 ))]]) ).
thf(5565,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1954]) ).
thf(5566,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5565:[bind(A,$thf( sk29 ))]]) ).
thf(6759,plain,
! [A: $i] :
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5566,146]) ).
thf(6760,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[6759:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(380,plain,
! [A: $i] :
( ~ ( v4_orders_2 @ A )
| ~ ( l1_orders_2 @ A )
| ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ),
inference(cnf,[status(esa)],[379]) ).
thf(5561,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,762]) ).
thf(5562,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5561:[bind(A,$thf( sk23 ))]]) ).
thf(13050,plain,
! [A: $i] :
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6486,146]) ).
thf(13051,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[13050:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(7026,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6240]) ).
thf(7027,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7026:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(15614,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,7027]) ).
thf(15627,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[15614]) ).
thf(6570,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5751]) ).
thf(6571,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6570:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(54,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_yellow21) ).
thf(366,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v9_altcat_1 @ B )
& ( v11_altcat_1 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(4305,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1677]) ).
thf(4312,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4305]) ).
thf(859,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,570]) ).
thf(860,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[859:[bind(A,$thf( sk29 ))]]) ).
thf(5713,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,860]) ).
thf(5714,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5713:[bind(A,$thf( sk29 ))]]) ).
thf(12126,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5714,146]) ).
thf(12127,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[12126:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(181,plain,
v1_altcat_2 @ sk5,
inference(cnf,[status(esa)],[180]) ).
thf(807,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_altcat_2 @ k1_xboole_0 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[149,181]) ).
thf(808,plain,
( ~ ( v1_xboole_0 @ sk5 )
| ( v1_altcat_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[807:[bind(A,$thf( sk5 ))]]) ).
thf(5669,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_altcat_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,808]) ).
thf(5670,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
| ( v1_altcat_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5669:[bind(A,$thf( sk5 ))]]) ).
thf(5663,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,776]) ).
thf(5664,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5663:[bind(A,$thf( sk11 ))]]) ).
thf(10974,plain,
! [A: $i] :
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5664,146]) ).
thf(10975,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk11 ) ) ),
inference(pattern_uni,[status(thm)],[10974:[bind(A,$thf( k5_waybel34 @ sk11 ))]]) ).
thf(2301,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_lattice3 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,602]) ).
thf(2302,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2301:[bind(A,$thf( sk31 ))]]) ).
thf(5693,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2302]) ).
thf(5694,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v1_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5693:[bind(A,$thf( sk31 ))]]) ).
thf(11718,plain,
! [A: $i] :
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5694,146]) ).
thf(11719,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[11718:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(104,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(561,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(424,plain,
v2_orders_2 @ sk23,
inference(cnf,[status(esa)],[419]) ).
thf(21177,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ sk19 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[376,401]) ).
thf(21178,plain,
m1_pboole @ ( u1_altcat_1 @ sk19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ),
inference(pattern_uni,[status(thm)],[21177:[bind(A,$thf( sk19 ))]]) ).
thf(21999,plain,
! [B: $i,A: $i] :
( ( m1_pboole @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ) )
!= ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[21178,245]) ).
thf(22000,plain,
m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ),
inference(pattern_uni,[status(thm)],[21999:[bind(A,$thf( u1_struct_0 @ sk19 )),bind(B,$thf( u1_altcat_1 @ sk19 ))]]) ).
thf(23421,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22000,364]) ).
thf(23422,plain,
v1_relat_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ),
inference(pattern_uni,[status(thm)],[23421:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ))]]) ).
thf(21082,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk31 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,21037]) ).
thf(21083,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk31 ) ),
inference(pattern_uni,[status(thm)],[21082:[bind(A,$thf( u1_struct_0 @ sk31 ))]]) ).
thf(334,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_membered @ A ) ),
inference(cnf,[status(esa)],[332]) ).
thf(9487,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk29 != sk2 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[149,9481]) ).
thf(9488,plain,
( ~ ( v1_xboole_0 @ sk1 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk29 != sk2 ) ),
inference(pattern_uni,[status(thm)],[9487:[bind(A,$thf( sk1 ))]]) ).
thf(955,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,790]) ).
thf(957,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[955]) ).
thf(5563,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,814]) ).
thf(5564,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v2_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5563:[bind(A,$thf( sk12 ))]]) ).
thf(6549,plain,
! [A: $i] :
( ( v2_yellow18 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5564,146]) ).
thf(6550,plain,
( ( v2_yellow18 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[6549:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(5940,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_lattice3 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5640]) ).
thf(5941,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5940:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(12651,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5941]) ).
thf(12664,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12651]) ).
thf(302,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ( v4_yellow18 @ A ) ),
inference(cnf,[status(esa)],[293]) ).
thf(260,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[253]) ).
thf(861,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,596]) ).
thf(862,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[861:[bind(A,$thf( sk31 ))]]) ).
thf(598,plain,
v2_orders_2 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(6210,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5642]) ).
thf(6211,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk1 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ~ ( v2_setfam_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6210:[bind(A,$thf( k5_waybel34 @ sk1 ))]]) ).
thf(12857,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk1 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6211]) ).
thf(12878,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk1 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12857]) ).
thf(407,plain,
! [B: $i,A: $i] :
( ~ ( v5_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) ),
inference(cnf,[status(esa)],[405]) ).
thf(124,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
thf(693,plain,
! [A: $i,B: $i] :
( ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
=> ( r1_tarski @ A @ B ) )
& ( ( r1_tarski @ A @ B )
=> ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(118,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
thf(630,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(33,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow21 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow21) ).
thf(275,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow21 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(165,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_funct_1 @ A ) ),
inference(cnf,[status(esa)],[164]) ).
thf(18502,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ k1_xboole_0 ) )
| ( A != sk6 ) ),
inference(paramod_ordered,[status(thm)],[149,18496]) ).
thf(18503,plain,
( ~ ( v1_xboole_0 @ sk6 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ k1_xboole_0 ) ) ),
inference(pattern_uni,[status(thm)],[18502:[bind(A,$thf( sk6 ))]]) ).
thf(22051,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21178,364]) ).
thf(22052,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk19 ),
inference(pattern_uni,[status(thm)],[22051:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) )),bind(B,$thf( u1_altcat_1 @ sk19 ))]]) ).
thf(5593,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2281]) ).
thf(5594,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5593:[bind(A,$thf( sk31 ))]]) ).
thf(8682,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,8678]) ).
thf(8683,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 ) ),
inference(pattern_uni,[status(thm)],[8682:[bind(A,$thf( sk2 ))]]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g2_altcat_1 @ A @ B @ C )
= ( g2_altcat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_altcat_1) ).
thf(246,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g2_altcat_1 @ A @ B @ C )
= ( g2_altcat_1 @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(249,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) )
| ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( A = D ) ),
inference(cnf,[status(esa)],[246]) ).
thf(252,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( A = D )
| ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ),
inference(lifteq,[status(thm)],[249]) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ A )
| ~ ( m1_pboole @ C @ A )
| ( m3_pboole @ ( sk7 @ C @ B @ A ) @ A @ B @ C ) ),
inference(cnf,[status(esa)],[196]) ).
thf(107,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
thf(580,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(583,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v1_finset_1 @ ( sk30 @ A ) ) ),
inference(cnf,[status(esa)],[580]) ).
thf(595,plain,
v2_yellow_0 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2185,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_yellow_0 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,595]) ).
thf(2186,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v2_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2185:[bind(A,$thf( sk31 ))]]) ).
thf(5098,plain,
( ( v2_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2186]) ).
thf(5113,plain,
( ( v2_yellow_0 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5098]) ).
thf(2726,plain,
( ( v3_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,774]) ).
thf(2741,plain,
( ( v3_yellow21 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2726]) ).
thf(229,plain,
v1_altcat_2 @ sk12,
inference(cnf,[status(esa)],[227]) ).
thf(747,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_altcat_2 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,229]) ).
thf(748,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v1_altcat_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[747:[bind(A,$thf( sk12 ))]]) ).
thf(5687,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_altcat_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,748]) ).
thf(5688,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v1_altcat_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5687:[bind(A,$thf( sk12 ))]]) ).
thf(11502,plain,
! [A: $i] :
( ( v1_altcat_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5688,146]) ).
thf(11503,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[11502:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(361,plain,
v5_membered @ sk16,
inference(cnf,[status(esa)],[356]) ).
thf(15037,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6772]) ).
thf(15050,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[15037]) ).
thf(569,plain,
v24_waybel_0 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(1960,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v24_waybel_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,569]) ).
thf(1961,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v24_waybel_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1960:[bind(A,$thf( sk29 ))]]) ).
thf(4710,plain,
( ( v24_waybel_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1961]) ).
thf(4725,plain,
( ( v24_waybel_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4710]) ).
thf(21538,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk12 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,237]) ).
thf(21591,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk12 != sk2 ) ),
inference(simp,[status(thm)],[21538]) ).
thf(175,plain,
! [B: $i,A: $i] : ( m2_relset_1 @ ( sk4 @ B @ A ) @ A @ B ),
inference(cnf,[status(esa)],[174]) ).
thf(153,plain,
( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_relset_1 @ C @ A @ B ) )
& ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m2_relset_1 @ C @ A @ B ) ) ),
inference(miniscope,[status(thm)],[152]) ).
thf(155,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_relset_1 @ C @ A @ B ) ),
inference(cnf,[status(esa)],[153]) ).
thf(2270,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( m1_relset_1 @ E @ C @ D )
| ( ( m2_relset_1 @ ( sk4 @ B @ A ) @ A @ B )
!= ( m2_relset_1 @ E @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[175,155]) ).
thf(2271,plain,
! [B: $i,A: $i] : ( m1_relset_1 @ ( sk4 @ A @ B ) @ B @ A ),
inference(pattern_uni,[status(thm)],[2270:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( sk4 @ F @ G ))]]) ).
thf(2279,plain,
! [B: $i,A: $i] : ( m1_relset_1 @ ( sk4 @ A @ B ) @ B @ A ),
inference(simp,[status(thm)],[2271]) ).
thf(154,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) ),
inference(cnf,[status(esa)],[153]) ).
thf(156,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) ),
inference(simp,[status(thm)],[154]) ).
thf(2555,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( m2_relset_1 @ E @ C @ D )
| ( ( m1_relset_1 @ ( sk4 @ A @ B ) @ B @ A )
!= ( m1_relset_1 @ E @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[2279,156]) ).
thf(2556,plain,
! [B: $i,A: $i] : ( m2_relset_1 @ ( sk4 @ A @ B ) @ B @ A ),
inference(pattern_uni,[status(thm)],[2555:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( sk4 @ F @ G ))]]) ).
thf(2565,plain,
! [B: $i,A: $i] : ( m2_relset_1 @ ( sk4 @ A @ B ) @ B @ A ),
inference(simp,[status(thm)],[2556]) ).
thf(24683,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21156,365]) ).
thf(24684,plain,
v1_funct_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[24683:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ) )),bind(B,$thf( u1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk12 ) ) ))]]) ).
thf(21557,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk21 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,386]) ).
thf(21611,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk21 != sk2 ) ),
inference(simp,[status(thm)],[21557]) ).
thf(21552,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk23 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,426]) ).
thf(21609,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk23 != sk2 ) ),
inference(simp,[status(thm)],[21552]) ).
thf(7933,plain,
! [A: $i] :
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5582,146]) ).
thf(7934,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[7933:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(600,plain,
v1_yellow_0 @ sk31,
inference(cnf,[status(esa)],[592]) ).
thf(2287,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_yellow_0 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,600]) ).
thf(2288,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v1_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2287:[bind(A,$thf( sk31 ))]]) ).
thf(5657,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2288]) ).
thf(5658,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v1_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5657:[bind(A,$thf( sk31 ))]]) ).
thf(551,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(4056,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1031]) ).
thf(4063,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4056]) ).
thf(285,plain,
! [A: $i] : ( r1_tarski @ A @ A ),
inference(cnf,[status(esa)],[284]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) )
=> ( r1_altcat_2 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_altcat_2) ).
thf(224,plain,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) )
=> ( r1_altcat_2 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(16892,plain,
! [A: $i] :
( ( m1_altcat_2 @ ( sk18 @ A ) @ A )
| ( ( l2_altcat_1 @ sk12 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[232,374]) ).
thf(16893,plain,
m1_altcat_2 @ ( sk18 @ sk12 ) @ sk12,
inference(pattern_uni,[status(thm)],[16892:[bind(A,$thf( sk12 ))]]) ).
thf(317,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v1_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[312]) ).
thf(21257,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk9 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5634,401]) ).
thf(21258,plain,
m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) ),
inference(pattern_uni,[status(thm)],[21257:[bind(A,$thf( k5_waybel34 @ sk9 ))]]) ).
thf(5231,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2281]) ).
thf(5238,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5231]) ).
thf(9944,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5562,146]) ).
thf(9945,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[9944:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(1840,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,860]) ).
thf(1856,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[1840]) ).
thf(388,plain,
v2_lattice3 @ sk21,
inference(cnf,[status(esa)],[382]) ).
thf(1586,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_lattice3 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,388]) ).
thf(1587,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1586:[bind(A,$thf( sk21 ))]]) ).
thf(188,plain,
v5_membered @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(10,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow18 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_yellow21) ).
thf(166,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow18 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v3_altcat_2 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( v3_altcat_2 @ B @ A )
& ( v2_yellow18 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(169,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v2_yellow18 @ B ) ),
inference(cnf,[status(esa)],[166]) ).
thf(3082,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[149,3042]) ).
thf(3083,plain,
( ~ ( v1_xboole_0 @ sk5 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3082:[bind(A,$thf( sk5 ))]]) ).
thf(6507,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3083]) ).
thf(6508,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6507:[bind(A,$thf( sk5 ))]]) ).
thf(13098,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6508,146]) ).
thf(13099,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[13098:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(21796,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk31 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21083,146]) ).
thf(21797,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk31 ) ),
inference(pattern_uni,[status(thm)],[21796:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk31 ) ))]]) ).
thf(21025,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,20983]) ).
thf(21026,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[21025:[bind(A,$thf( sk2 ))]]) ).
thf(94,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) )
=> ( v3_yellow_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow_0) ).
thf(519,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) )
=> ( v3_yellow_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(855,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,233]) ).
thf(856,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( v11_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[855:[bind(A,$thf( sk12 ))]]) ).
thf(5625,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v11_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,856]) ).
thf(5626,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v11_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5625:[bind(A,$thf( sk12 ))]]) ).
thf(106,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
thf(578,plain,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(1006,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_orders_2 @ k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,384]) ).
thf(1007,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1006:[bind(A,$thf( sk21 ))]]) ).
thf(5631,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1007]) ).
thf(5632,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5631:[bind(A,$thf( sk21 ))]]) ).
thf(10660,plain,
! [A: $i] :
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5632,146]) ).
thf(10661,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[10660:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(6496,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,3058]) ).
thf(6497,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6496:[bind(A,$thf( sk11 ))]]) ).
thf(13073,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6497,146]) ).
thf(13074,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk11 ) ) ),
inference(pattern_uni,[status(thm)],[13073:[bind(A,$thf( k5_waybel34 @ sk11 ))]]) ).
thf(21134,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,21026]) ).
thf(21135,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[21134:[bind(A,$thf( sk2 ))]]) ).
thf(22121,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21135,146]) ).
thf(22122,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[22121:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(88,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v24_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
thf(488,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v24_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(339,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v4_yellow18 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(6584,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5929]) ).
thf(6585,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6584:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(14739,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6585]) ).
thf(14752,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[14739]) ).
thf(2651,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,748]) ).
thf(2666,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2651]) ).
thf(547,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_altcat_2 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(985,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,806]) ).
thf(987,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[985]) ).
thf(21000,plain,
! [A: $i] :
( ( sk2 != k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ k1_xboole_0 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[987,399]) ).
thf(21001,plain,
( ( sk2 != k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[21000:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(82,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
thf(466,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(471,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k9_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[466]) ).
thf(554,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(18499,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk6 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,18496]) ).
thf(18512,plain,
( ( u1_struct_0 @ sk6 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[18499]) ).
thf(4184,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1594]) ).
thf(4191,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4184]) ).
thf(5587,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1677]) ).
thf(5588,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5587:[bind(A,$thf( sk23 ))]]) ).
thf(12090,plain,
! [A: $i] :
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5708,146]) ).
thf(12091,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[12090:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(4047,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1007]) ).
thf(4054,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4047]) ).
thf(1683,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_lattice3 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,421]) ).
thf(1684,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1683:[bind(A,$thf( sk23 ))]]) ).
thf(5661,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1684]) ).
thf(5662,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( v3_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5661:[bind(A,$thf( sk23 ))]]) ).
thf(2543,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( m2_relset_1 @ E @ C @ D )
| ( ( m1_relset_1 @ ( sk10 @ B @ A ) @ A @ B )
!= ( m1_relset_1 @ E @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[206,156]) ).
thf(2544,plain,
! [B: $i,A: $i] : ( m2_relset_1 @ ( sk10 @ A @ B ) @ B @ A ),
inference(pattern_uni,[status(thm)],[2543:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( sk10 @ F @ G ))]]) ).
thf(2551,plain,
! [B: $i,A: $i] : ( m2_relset_1 @ ( sk10 @ A @ B ) @ B @ A ),
inference(simp,[status(thm)],[2544]) ).
thf(6787,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6219]) ).
thf(6788,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk1 ) )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6787:[bind(A,$thf( k5_waybel34 @ sk1 ))]]) ).
thf(5575,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk19 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1001]) ).
thf(5576,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk19 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5575:[bind(A,$thf( sk19 ))]]) ).
thf(7586,plain,
! [A: $i] :
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk19 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5576,146]) ).
thf(7587,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk19 ) ) ),
inference(pattern_uni,[status(thm)],[7586:[bind(A,$thf( k5_waybel34 @ sk19 ))]]) ).
thf(173,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_altcat_2 @ B ) ),
inference(cnf,[status(esa)],[166]) ).
thf(21217,plain,
! [A: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk16 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5620,401]) ).
thf(21218,plain,
m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[21217:[bind(A,$thf( k5_waybel34 @ sk16 ))]]) ).
thf(22936,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21218,364]) ).
thf(22937,plain,
v1_relat_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[22936:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) )),bind(B,$thf( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ))]]) ).
thf(11335,plain,
! [A: $i] :
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5680,146]) ).
thf(11336,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[11335:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(575,plain,
v2_yellow_0 @ sk29,
inference(cnf,[status(esa)],[563]) ).
thf(2055,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_yellow_0 @ k1_xboole_0 )
| ( A != sk29 ) ),
inference(paramod_ordered,[status(thm)],[149,575]) ).
thf(2056,plain,
( ~ ( v1_xboole_0 @ sk29 )
| ( v2_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2055:[bind(A,$thf( sk29 ))]]) ).
thf(4938,plain,
( ( v2_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2056]) ).
thf(4953,plain,
( ( v2_yellow_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4938]) ).
thf(3349,plain,
( ( v1_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,864]) ).
thf(3364,plain,
( ( v1_yellow21 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3349]) ).
thf(199,plain,
v2_funct_1 @ sk8,
inference(cnf,[status(esa)],[198]) ).
thf(815,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_funct_1 @ k1_xboole_0 )
| ( A != sk8 ) ),
inference(paramod_ordered,[status(thm)],[149,199]) ).
thf(816,plain,
( ~ ( v1_xboole_0 @ sk8 )
| ( v2_funct_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[815:[bind(A,$thf( sk8 ))]]) ).
thf(2953,plain,
( ( v2_funct_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk8 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,816]) ).
thf(2968,plain,
( ( v2_funct_1 @ k1_xboole_0 )
| ( sk8 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2953]) ).
thf(22251,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk12 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21210,364]) ).
thf(22252,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk12 ),
inference(pattern_uni,[status(thm)],[22251:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) )),bind(B,$thf( u1_altcat_1 @ sk12 ))]]) ).
thf(9196,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,8996]) ).
thf(9197,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[9196:[bind(A,$thf( sk23 ))]]) ).
thf(11238,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9197]) ).
thf(11274,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[11238]) ).
thf(91,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
thf(503,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(13013,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6368]) ).
thf(13014,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk5 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[13013:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(266,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v3_yellow18 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(101,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ~ ( v1_xboole_0 @ ( k1_altcat_1 @ A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_altcat_4) ).
thf(541,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ~ ( v1_xboole_0 @ ( k1_altcat_1 @ A @ B @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(4029,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk19 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1001]) ).
thf(4036,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( sk19 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4029]) ).
thf(97,axiom,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) )
& ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
thf(530,plain,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) )
& ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(129,axiom,
! [A: $i] :
( ( ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel_8) ).
thf(718,plain,
! [A: $i] :
( ( ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(9485,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,9481]) ).
thf(9486,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 ) ),
inference(pattern_uni,[status(thm)],[9485:[bind(A,$thf( sk2 ))]]) ).
thf(12145,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9486]) ).
thf(12183,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk29 != sk2 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[12145]) ).
thf(10801,plain,
! [A: $i] :
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5654,146]) ).
thf(10802,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10801:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(41,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(309,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(311,plain,
v1_relat_1 @ sk14,
inference(cnf,[status(esa)],[309]) ).
thf(9190,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ k1_xboole_0 @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( A
!= ( u1_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,8996]) ).
thf(9191,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ~ ( r2_hidden @ k1_xboole_0 @ sk1 )
| ~ sk3
| ( sk23 != sk2 ) ),
inference(pattern_uni,[status(thm)],[9190:[bind(A,$thf( u1_struct_0 @ sk2 ))]]) ).
thf(10824,plain,
( ~ ( r2_hidden @ k1_xboole_0 @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9191]) ).
thf(10862,plain,
( ~ ( r2_hidden @ k1_xboole_0 @ sk1 )
| ~ sk3
| ( sk23 != sk2 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[10824]) ).
thf(22395,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk5 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21306,365]) ).
thf(22396,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk5 ),
inference(pattern_uni,[status(thm)],[22395:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk5 ) @ ( u1_struct_0 @ sk5 ) )),bind(B,$thf( u1_altcat_1 @ sk5 ))]]) ).
thf(5848,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk16 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5620,146]) ).
thf(5849,plain,
l1_struct_0 @ ( k5_waybel34 @ sk16 ),
inference(pattern_uni,[status(thm)],[5848:[bind(A,$thf( k5_waybel34 @ sk16 ))]]) ).
thf(5876,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5849]) ).
thf(5877,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk16 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5876:[bind(A,$thf( k5_waybel34 @ sk16 ))]]) ).
thf(12800,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk16 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5877]) ).
thf(12813,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk16 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12800]) ).
thf(21526,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk29 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,570]) ).
thf(21583,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk29 != sk2 ) ),
inference(simp,[status(thm)],[21526]) ).
thf(264,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v9_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(11147,plain,
! [A: $i] :
( ( v1_altcat_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5670,146]) ).
thf(11148,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[11147:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(5607,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,862]) ).
thf(5608,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5607:[bind(A,$thf( sk31 ))]]) ).
thf(73,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( m3_pboole @ ( u2_altcat_1 @ A ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k3_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ A ) ) @ ( k2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_altcat_1) ).
thf(444,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( m3_pboole @ ( u2_altcat_1 @ A ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k3_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ A ) ) @ ( k2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(5730,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5590]) ).
thf(5731,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5730:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(11548,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5731]) ).
thf(11561,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[11548]) ).
thf(412,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( m1_subset_1 @ ( sk22 @ A ) @ ( k1_zfmisc_1 @ A ) ) ),
inference(cnf,[status(esa)],[411]) ).
thf(5665,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v24_waybel_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1961]) ).
thf(5666,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v24_waybel_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5665:[bind(A,$thf( sk29 ))]]) ).
thf(2169,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v3_lattice3 @ sk31 )
!= ( v3_lattice3 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[593,134]) ).
thf(2176,plain,
( ~ ( v1_orders_2 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk31 != sk2 ) ),
inference(simp,[status(thm)],[2169]) ).
thf(4701,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1954]) ).
thf(4708,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4701]) ).
thf(10226,plain,
! [A: $i] :
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5614,146]) ).
thf(10227,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[10226:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(817,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[149,182]) ).
thf(818,plain,
( ~ ( v1_xboole_0 @ sk5 )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[817:[bind(A,$thf( sk5 ))]]) ).
thf(5697,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,818]) ).
thf(5698,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5697:[bind(A,$thf( sk5 ))]]) ).
thf(12,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ( v1_membered @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).
thf(176,plain,
! [A: $i] :
( ( v2_membered @ A )
=> ( v1_membered @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23131,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21258,365]) ).
thf(23132,plain,
v1_funct_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ),
inference(pattern_uni,[status(thm)],[23131:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) )),bind(B,$thf( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ))]]) ).
thf(34,axiom,
! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_pboole) ).
thf(282,plain,
! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(283,plain,
! [A: $i] : ( m1_pboole @ ( sk13 @ A ) @ A ),
inference(cnf,[status(esa)],[282]) ).
thf(3445,plain,
! [C: $i,B: $i,A: $i] :
( ( m1_pboole @ ( k2_altcat_1 @ B @ C ) @ ( k3_zfmisc_1 @ B @ B @ B ) )
| ( ( m1_pboole @ ( sk13 @ A ) @ A )
!= ( m1_pboole @ C @ ( k2_zfmisc_1 @ B @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[283,245]) ).
thf(3446,plain,
! [A: $i] : ( m1_pboole @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) @ ( k3_zfmisc_1 @ A @ A @ A ) ),
inference(pattern_uni,[status(thm)],[3445:[bind(A,$thf( k2_zfmisc_1 @ F @ F )),bind(B,$thf( F )),bind(C,$thf( sk13 @ ( k2_zfmisc_1 @ F @ F ) ))]]) ).
thf(3472,plain,
! [A: $i] : ( m1_pboole @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) @ ( k3_zfmisc_1 @ A @ A @ A ) ),
inference(simp,[status(thm)],[3446]) ).
thf(3938,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk17 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,999]) ).
thf(3945,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk17 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3938]) ).
thf(4911,plain,
( ( v1_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2042]) ).
thf(4926,plain,
( ( v1_yellow_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4911]) ).
thf(5583,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1632]) ).
thf(5584,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5583:[bind(A,$thf( sk21 ))]]) ).
thf(8123,plain,
! [A: $i] :
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5584,146]) ).
thf(8124,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[8123:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(5599,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1580]) ).
thf(5600,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v3_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5599:[bind(A,$thf( sk21 ))]]) ).
thf(9520,plain,
! [A: $i] :
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5600,146]) ).
thf(9521,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[9520:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(2233,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A != sk31 ) ),
inference(paramod_ordered,[status(thm)],[149,598]) ).
thf(2234,plain,
( ~ ( v1_xboole_0 @ sk31 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2233:[bind(A,$thf( sk31 ))]]) ).
thf(5659,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2234]) ).
thf(5660,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5659:[bind(A,$thf( sk31 ))]]) ).
thf(10873,plain,
! [A: $i] :
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5660,146]) ).
thf(10874,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10873:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(545,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow18 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(21973,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21178,365]) ).
thf(21974,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk19 ),
inference(pattern_uni,[status(thm)],[21973:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) )),bind(B,$thf( u1_altcat_1 @ sk19 ))]]) ).
thf(108,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).
thf(584,plain,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(19085,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ k1_xboole_0 ) )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,19079]) ).
thf(19086,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ k1_xboole_0 ) ) ),
inference(pattern_uni,[status(thm)],[19085:[bind(A,$thf( sk12 ))]]) ).
thf(21445,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk21 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,21101]) ).
thf(21446,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk21 ) ),
inference(pattern_uni,[status(thm)],[21445:[bind(A,$thf( u1_struct_0 @ sk21 ))]]) ).
thf(21821,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk21 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21446,146]) ).
thf(21822,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk21 ) ),
inference(pattern_uni,[status(thm)],[21821:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk21 ) ))]]) ).
thf(731,plain,
( ( v1_xboole_0 @ sk9 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,204]) ).
thf(732,plain,
sk9 != k1_xboole_0,
inference(simp,[status(thm)],[731]) ).
thf(15309,plain,
! [C: $i,B: $i,A: $i] :
( ( v1_relat_1 @ C )
| ( ( m1_pboole @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
!= ( m1_pboole @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3472,364]) ).
thf(15310,plain,
! [A: $i] : ( v1_relat_1 @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[15309:[bind(A,$thf( K )),bind(B,$thf( k3_zfmisc_1 @ K @ K @ K )),bind(C,$thf( k2_altcat_1 @ K @ ( sk13 @ ( k2_zfmisc_1 @ K @ K ) ) ))]]) ).
thf(15320,plain,
! [A: $i] : ( v1_relat_1 @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(simp,[status(thm)],[15310]) ).
thf(5611,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2179]) ).
thf(5612,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5611:[bind(A,$thf( sk31 ))]]) ).
thf(37,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_functor0) ).
thf(290,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(291,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v12_altcat_1 @ A )
| ( v1_altcat_2 @ A ) ),
inference(cnf,[status(esa)],[290]) ).
thf(281,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ( v2_yellow21 @ A ) ),
inference(cnf,[status(esa)],[275]) ).
thf(413,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ ( sk22 @ A ) ) ),
inference(cnf,[status(esa)],[411]) ).
thf(853,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( A != sk12 ) ),
inference(paramod_ordered,[status(thm)],[149,232]) ).
thf(854,plain,
( ~ ( v1_xboole_0 @ sk12 )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[853:[bind(A,$thf( sk12 ))]]) ).
thf(3188,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,854]) ).
thf(3213,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3188]) ).
thf(22725,plain,
( ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 )
| ( ( v3_struct_0 @ sk12 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21589,237]) ).
thf(22772,plain,
( ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 )
| ( sk12 != sk2 ) ),
inference(simp,[status(thm)],[22725]) ).
thf(120,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
thf(641,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(15630,plain,
! [C: $i,B: $i,A: $i] :
( ( v1_funct_1 @ C )
| ( ( m1_pboole @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) @ ( k3_zfmisc_1 @ A @ A @ A ) )
!= ( m1_pboole @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3472,365]) ).
thf(15631,plain,
! [A: $i] : ( v1_funct_1 @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[15630:[bind(A,$thf( K )),bind(B,$thf( k3_zfmisc_1 @ K @ K @ K )),bind(C,$thf( k2_altcat_1 @ K @ ( sk13 @ ( k2_zfmisc_1 @ K @ K ) ) ))]]) ).
thf(15641,plain,
! [A: $i] : ( v1_funct_1 @ ( k2_altcat_1 @ A @ ( sk13 @ ( k2_zfmisc_1 @ A @ A ) ) ) ),
inference(simp,[status(thm)],[15631]) ).
thf(21447,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk21 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,21101]) ).
thf(21460,plain,
( ( u1_struct_0 @ sk21 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[21447]) ).
thf(8684,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk21 != sk2 )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[149,8678]) ).
thf(8685,plain,
( ~ ( v1_xboole_0 @ sk1 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk21 != sk2 ) ),
inference(pattern_uni,[status(thm)],[8684:[bind(A,$thf( sk1 ))]]) ).
thf(10177,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk21 != sk2 )
| ( ( v1_xboole_0 @ sk1 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,8685]) ).
thf(10215,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk21 != sk2 )
| ( sk1 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[10177]) ).
thf(335,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_membered @ A ) ),
inference(cnf,[status(esa)],[332]) ).
thf(350,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(14383,plain,
! [A: $i] :
( ( v1_finset_1 @ A )
| ( ( v1_xboole_0 @ k1_xboole_0 )
!= ( v1_xboole_0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[189,352]) ).
thf(14384,plain,
v1_finset_1 @ k1_xboole_0,
inference(pattern_uni,[status(thm)],[14383:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(5559,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1005]) ).
thf(5560,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5559:[bind(A,$thf( sk21 ))]]) ).
thf(6384,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5560,146]) ).
thf(6385,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[6384:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(313,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v1_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_altcat_2 @ B ) ),
inference(cnf,[status(esa)],[312]) ).
thf(22840,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21218,365]) ).
thf(22841,plain,
v1_funct_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[22840:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk16 ) ) )),bind(B,$thf( u1_altcat_1 @ ( k5_waybel34 @ sk16 ) ))]]) ).
thf(3564,plain,
( ( v3_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,898]) ).
thf(3579,plain,
( ( v3_yellow18 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3564]) ).
thf(5555,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2295]) ).
thf(5556,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v3_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5555:[bind(A,$thf( sk31 ))]]) ).
thf(5579,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2049]) ).
thf(5580,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5579:[bind(A,$thf( sk29 ))]]) ).
thf(158,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ C @ A )
& ? [D: $i] : ( m1_pboole @ D @ B ) )
=> ( r2_altcat_2 @ A @ B @ C @ C ) ),
inference(miniscope,[status(thm)],[157]) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ C @ A )
| ~ ( m1_pboole @ D @ B )
| ( r2_altcat_2 @ A @ B @ C @ C ) ),
inference(cnf,[status(esa)],[158]) ).
thf(187,plain,
v3_membered @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(172,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[166]) ).
thf(219,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(274,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v3_yellow21 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(2883,plain,
( ( v2_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,814]) ).
thf(2906,plain,
( ( v2_yellow18 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2883]) ).
thf(58,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(377,plain,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(5569,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,782]) ).
thf(5570,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk6 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5569:[bind(A,$thf( sk6 ))]]) ).
thf(10036,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk6 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5570,146]) ).
thf(10037,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk6 ) ) ),
inference(pattern_uni,[status(thm)],[10036:[bind(A,$thf( k5_waybel34 @ sk6 ))]]) ).
thf(318,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v1_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_yellow21 @ B ) ),
inference(cnf,[status(esa)],[312]) ).
thf(753,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| sk3
| ( r2_hidden @ k1_xboole_0 @ sk1 )
| ( A
!= ( u1_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,140]) ).
thf(754,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| sk3
| ( r2_hidden @ k1_xboole_0 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[753:[bind(A,$thf( u1_struct_0 @ sk2 ))]]) ).
thf(8457,plain,
( sk3
| ( r2_hidden @ k1_xboole_0 @ sk1 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,754]) ).
thf(8485,plain,
( sk3
| ( r2_hidden @ k1_xboole_0 @ sk1 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[8457]) ).
thf(13017,plain,
! [A: $i] :
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6368,146]) ).
thf(13018,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[13017:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(378,plain,
! [A: $i] : ( m1_subset_1 @ ( sk20 @ A ) @ A ),
inference(cnf,[status(esa)],[377]) ).
thf(143,plain,
( sk3
| ~ ( m1_subset_1 @ sk2 @ ( u1_struct_0 @ ( k9_waybel34 @ sk1 ) ) ) ),
inference(cnf,[status(esa)],[131]) ).
thf(2501,plain,
! [A: $i] :
( sk3
| ( ( m1_subset_1 @ ( sk20 @ A ) @ A )
!= ( m1_subset_1 @ sk2 @ ( u1_struct_0 @ ( k9_waybel34 @ sk1 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[378,143]) ).
thf(2506,plain,
! [A: $i] :
( sk3
| ( ( sk20 @ A )
!= sk2 )
| ( A
!= ( u1_struct_0 @ ( k9_waybel34 @ sk1 ) ) ) ),
inference(simp,[status(thm)],[2501]) ).
thf(2510,plain,
( sk3
| ( ( sk20 @ ( u1_struct_0 @ ( k9_waybel34 @ sk1 ) ) )
!= sk2 ) ),
inference(simp,[status(thm)],[2506]) ).
thf(977,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,762]) ).
thf(979,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[977]) ).
thf(111,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_orders_2 @ A )
=> ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
thf(604,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_orders_2 @ A )
=> ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(406,plain,
! [B: $i,A: $i] :
( ~ ( v5_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v4_ordinal2 @ B ) ),
inference(cnf,[status(esa)],[405]) ).
thf(1618,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk15 )
!= ( v1_xboole_0 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[330,818]) ).
thf(1627,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk15 != sk5 ) ),
inference(simp,[status(thm)],[1618]) ).
thf(2774,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk5 != k1_xboole_0 ) ),
inference(rewrite,[status(thm)],[1627,927]) ).
thf(23804,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22200,364]) ).
thf(23805,plain,
v1_relat_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[23804:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_altcat_1 @ sk12 ) ))]]) ).
thf(362,plain,
v4_membered @ sk16,
inference(cnf,[status(esa)],[356]) ).
thf(5609,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v4_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,852]) ).
thf(5610,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v4_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5609:[bind(A,$thf( sk12 ))]]) ).
thf(92,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
thf(509,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(21556,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk5 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,182]) ).
thf(21581,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk5 != sk2 ) ),
inference(simp,[status(thm)],[21556]) ).
thf(22331,plain,
( ( sk5 != sk2 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,21581]) ).
thf(22350,plain,
( ( sk5 != sk2 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[22331]) ).
thf(303,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ( v1_yellow21 @ A ) ),
inference(cnf,[status(esa)],[293]) ).
thf(5374,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2302]) ).
thf(5381,plain,
( ( v1_lattice3 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5374]) ).
thf(5615,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1587]) ).
thf(5616,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v2_lattice3 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5615:[bind(A,$thf( sk21 ))]]) ).
thf(84,axiom,
! [A: $i] :
( ( v1_finset_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
thf(477,plain,
! [A: $i] :
( ( v1_finset_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_finset_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(7767,plain,
! [A: $i] :
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5580,146]) ).
thf(7768,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[7767:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m1_pboole @ C @ ( k2_zfmisc_1 @ A @ A ) ) )
=> ( m1_pboole @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_altcat_1) ).
thf(322,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
& ( m1_pboole @ C @ ( k2_zfmisc_1 @ A @ A ) ) )
=> ( m1_pboole @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(323,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m1_pboole @ C @ ( k2_zfmisc_1 @ A @ A ) )
| ( m1_pboole @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ),
inference(cnf,[status(esa)],[322]) ).
thf(213,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(20998,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk29 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[564,399]) ).
thf(20999,plain,
l1_struct_0 @ sk29,
inference(pattern_uni,[status(thm)],[20998:[bind(A,$thf( sk29 ))]]) ).
thf(5645,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_funct_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk8 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,816]) ).
thf(5646,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk8 ) )
| ( v2_funct_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5645:[bind(A,$thf( sk8 ))]]) ).
thf(10731,plain,
! [A: $i] :
( ( v2_funct_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk8 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5646,146]) ).
thf(10732,plain,
( ( v2_funct_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk8 ) ) ),
inference(pattern_uni,[status(thm)],[10731:[bind(A,$thf( k5_waybel34 @ sk8 ))]]) ).
thf(1026,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,802]) ).
thf(1029,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[1026]) ).
thf(779,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,133]) ).
thf(780,plain,
( ~ ( v1_xboole_0 @ sk2 )
| sk3
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[779:[bind(A,$thf( sk2 ))]]) ).
thf(5655,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,780]) ).
thf(5656,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
| sk3
| ( v1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5655:[bind(A,$thf( sk2 ))]]) ).
thf(6369,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk5 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,3040]) ).
thf(6376,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( sk5 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[6369]) ).
thf(345,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v3_yellow18 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(552,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v4_yellow18 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(8155,plain,
! [A: $i] :
( sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5656,146]) ).
thf(8156,plain,
( sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[8155:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(11187,plain,
! [A: $i] :
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5674,146]) ).
thf(11188,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[11187:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(248,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) )
| ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( B = E ) ),
inference(cnf,[status(esa)],[246]) ).
thf(251,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( B = E )
| ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ),
inference(lifteq,[status(thm)],[248]) ).
thf(9509,plain,
! [B: $i,A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 )
| ( B != sk29 ) ),
inference(paramod_ordered,[status(thm)],[163,9481]) ).
thf(9510,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(pattern_uni,[status(thm)],[9509:[bind(A,$thf( A )),bind(B,$thf( sk29 ))]]) ).
thf(9511,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[9510]) ).
thf(19904,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk5 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,19901]) ).
thf(19917,plain,
( ( u1_struct_0 @ sk5 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[19904]) ).
thf(95,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B )
& ( v5_membered @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
thf(521,plain,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B )
& ( v5_membered @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(7596,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk19 ) )
!= ( l1_altcat_1 @ k1_xboole_0 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[5576]) ).
thf(7598,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk19 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[7596]) ).
thf(21064,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk23 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,21005]) ).
thf(21065,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk23 ) ),
inference(pattern_uni,[status(thm)],[21064:[bind(A,$thf( u1_struct_0 @ sk23 ))]]) ).
thf(10274,plain,
! [A: $i] :
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5616,146]) ).
thf(10275,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[10274:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(867,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,738]) ).
thf(868,plain,
( ( v3_orders_2 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[867]) ).
thf(78,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(455,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(225,plain,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ? [B: $i] :
( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) )
=> ( r1_altcat_2 @ A @ A ) ),
inference(miniscope,[status(thm)],[224]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_funct_1 @ A )
| ~ ( v1_relat_1 @ B )
| ~ ( v1_funct_1 @ B )
| ( r1_altcat_2 @ A @ A ) ),
inference(cnf,[status(esa)],[225]) ).
thf(7231,plain,
! [A: $i] :
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5572,146]) ).
thf(7232,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[7231:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_pboole @ C @ A )
& ( m1_pboole @ D @ B ) )
=> ( ( r2_altcat_2 @ A @ B @ C @ D )
<=> ( r1_altcat_2 @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r2_altcat_2) ).
thf(304,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_pboole @ C @ A )
& ( m1_pboole @ D @ B ) )
=> ( ( ( r2_altcat_2 @ A @ B @ C @ D )
=> ( r1_altcat_2 @ C @ D ) )
& ( ( r1_altcat_2 @ C @ D )
=> ( r2_altcat_2 @ A @ B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(306,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ C @ A )
| ~ ( m1_pboole @ D @ B )
| ~ ( r1_altcat_2 @ C @ D )
| ( r2_altcat_2 @ A @ B @ C @ D ) ),
inference(cnf,[status(esa)],[304]) ).
thf(299,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ( v9_altcat_1 @ A ) ),
inference(cnf,[status(esa)],[293]) ).
thf(18521,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk6 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[18498,146]) ).
thf(18522,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[18521:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk6 ) ))]]) ).
thf(109,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_8) ).
thf(589,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(21084,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk31 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,21037]) ).
thf(21097,plain,
( ( u1_struct_0 @ sk31 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[21084]) ).
thf(12355,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,5925]) ).
thf(12368,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v3_orders_2 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[12355]) ).
thf(548,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(4728,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1968]) ).
thf(4735,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4728]) ).
thf(553,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(79,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(458,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(10516,plain,
! [A: $i] :
( ( v11_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5626,146]) ).
thf(10517,plain,
( ( v11_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[10516:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(130,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(722,plain,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(255,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v12_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[253]) ).
thf(2863,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk5 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,808]) ).
thf(2878,plain,
( ( v1_altcat_2 @ k1_xboole_0 )
| ( sk5 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2863]) ).
thf(18001,plain,
! [A: $i] :
( ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) )
| ( ( v3_struct_0 @ A )
!= ( v3_struct_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[393,570]) ).
thf(18002,plain,
( ~ ( l1_struct_0 @ sk29 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[18001:[bind(A,$thf( sk29 ))]]) ).
thf(21404,plain,
( ~ $true
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk29 ) ) ),
inference(rewrite,[status(thm)],[18002,20999]) ).
thf(21405,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk29 ) ),
inference(simp,[status(thm)],[21404]) ).
thf(12106,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5712,146]) ).
thf(12107,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk29 ) ) ),
inference(pattern_uni,[status(thm)],[12106:[bind(A,$thf( k5_waybel34 @ sk29 ))]]) ).
thf(115,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v22_waybel_0 @ C @ A @ B ) )
=> ( ~ ( v1_xboole_0 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel17) ).
thf(617,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v22_waybel_0 @ C @ A @ B ) )
=> ( ~ ( v1_xboole_0 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(1748,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_orders_2 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,424]) ).
thf(1749,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1748:[bind(A,$thf( sk23 ))]]) ).
thf(5677,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1749]) ).
thf(5678,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5677:[bind(A,$thf( sk23 ))]]) ).
thf(342,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v12_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(23320,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22000,365]) ).
thf(23321,plain,
v1_funct_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ),
inference(pattern_uni,[status(thm)],[23320:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) @ ( u1_struct_0 @ sk19 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk19 ) @ ( u1_altcat_1 @ sk19 ) ))]]) ).
thf(355,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) )
| ( l2_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ),
inference(cnf,[status(esa)],[353]) ).
thf(12074,plain,
! [A: $i] :
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5706,146]) ).
thf(12075,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[12074:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ! [D: $i] :
( ( m3_pboole @ D @ A @ B @ C )
=> ( m1_pboole @ D @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m3_pboole) ).
thf(194,plain,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ! [D: $i] :
( ( m3_pboole @ D @ A @ B @ C )
=> ( m1_pboole @ D @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4038,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1005]) ).
thf(4045,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4038]) ).
thf(5601,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,820]) ).
thf(5602,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ~ ( v3_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5601:[bind(A,$thf( sk21 ))]]) ).
thf(871,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,740]) ).
thf(872,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[871]) ).
thf(10111,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5608,146]) ).
thf(10112,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10111:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(13046,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[149,6486]) ).
thf(13047,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk12 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[13046:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(414,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v1_finset_1 @ ( sk22 @ A ) ) ),
inference(cnf,[status(esa)],[411]) ).
thf(46,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( l2_altcat_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
thf(326,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ! [B: $i] :
( ( m1_altcat_2 @ B @ A )
=> ( l2_altcat_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(327,plain,
! [B: $i,A: $i] :
( ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( l2_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[326]) ).
thf(23227,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21258,364]) ).
thf(23228,plain,
v1_relat_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ),
inference(pattern_uni,[status(thm)],[23227:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) @ ( u1_struct_0 @ ( k5_waybel34 @ sk9 ) ) )),bind(B,$thf( u1_altcat_1 @ ( k5_waybel34 @ sk9 ) ))]]) ).
thf(4193,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1601]) ).
thf(4200,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4193]) ).
thf(409,plain,
! [B: $i,A: $i] :
( ~ ( v5_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v1_int_1 @ B ) ),
inference(cnf,[status(esa)],[405]) ).
thf(11224,plain,
! [A: $i] :
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5678,146]) ).
thf(11225,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[11224:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(5222,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2234]) ).
thf(5229,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5222]) ).
thf(103,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v1_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
thf(557,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v1_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(1002,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ sk19 )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[376,146]) ).
thf(1003,plain,
l1_struct_0 @ sk19,
inference(pattern_uni,[status(thm)],[1002:[bind(A,$thf( sk19 ))]]) ).
thf(127,axiom,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).
thf(705,plain,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B )
& ( v1_finset_1 @ C ) )
=> ( v1_finset_1 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_finset_1) ).
thf(150,plain,
! [A: $i,B: $i,C: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B )
& ( v1_finset_1 @ C ) )
=> ( v1_finset_1 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2405,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_struct_0 @ k1_xboole_0 )
| ( A != sk19 ) ),
inference(paramod_ordered,[status(thm)],[149,1003]) ).
thf(2406,plain,
( ~ ( v1_xboole_0 @ sk19 )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2405:[bind(A,$thf( sk19 ))]]) ).
thf(5392,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk19 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2406]) ).
thf(5399,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk19 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5392]) ).
thf(128,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v24_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
thf(707,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v24_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(22357,plain,
( ( sk29 != sk2 )
| ( ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,21583]) ).
thf(22376,plain,
( ( sk29 != sk2 )
| ( ( u1_struct_0 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[22357]) ).
thf(263,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(310,plain,
v1_funct_1 @ sk14,
inference(cnf,[status(esa)],[309]) ).
thf(5683,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk19 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2406]) ).
thf(5684,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk19 ) )
| ( l1_struct_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5683:[bind(A,$thf( sk19 ))]]) ).
thf(1812,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_orders_2 @ k1_xboole_0 )
| ( A != sk23 ) ),
inference(paramod_ordered,[status(thm)],[149,425]) ).
thf(1813,plain,
( ~ ( v1_xboole_0 @ sk23 )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1812:[bind(A,$thf( sk23 ))]]) ).
thf(370,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v9_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ( v11_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[366]) ).
thf(21463,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( u1_struct_0 @ sk29 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,21405]) ).
thf(21464,plain,
l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk29 ) ),
inference(pattern_uni,[status(thm)],[21463:[bind(A,$thf( u1_struct_0 @ sk29 ))]]) ).
thf(15636,plain,
! [C: $i,B: $i,A: $i] :
( ( v1_funct_1 @ C )
| ( ( m1_pboole @ ( sk13 @ A ) @ A )
!= ( m1_pboole @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[283,365]) ).
thf(15637,plain,
! [A: $i] : ( v1_funct_1 @ ( sk13 @ A ) ),
inference(pattern_uni,[status(thm)],[15636:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk13 @ D ))]]) ).
thf(15640,plain,
! [A: $i] : ( v1_funct_1 @ ( sk13 @ A ) ),
inference(simp,[status(thm)],[15637]) ).
thf(5667,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk23 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1813]) ).
thf(5668,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
| ( l1_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5667:[bind(A,$thf( sk23 ))]]) ).
thf(11033,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5668,146]) ).
thf(11034,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[11033:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(359,plain,
v2_membered @ sk16,
inference(cnf,[status(esa)],[356]) ).
thf(5637,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v9_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,900]) ).
thf(5638,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v9_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5637:[bind(A,$thf( sk12 ))]]) ).
thf(12840,plain,
! [A: $i] :
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk11 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6357,146]) ).
thf(12841,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk11 ) ) ),
inference(pattern_uni,[status(thm)],[12840:[bind(A,$thf( k5_waybel34 @ sk11 ))]]) ).
thf(4430,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1749]) ).
thf(4437,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4430]) ).
thf(177,plain,
! [A: $i] :
( ~ ( v2_membered @ A )
| ( v1_membered @ A ) ),
inference(cnf,[status(esa)],[176]) ).
thf(470,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k9_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[466]) ).
thf(7582,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk19 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5576]) ).
thf(7583,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk19 ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7582:[bind(A,$thf( k5_waybel34 @ sk19 ))]]) ).
thf(949,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,784]) ).
thf(951,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[949]) ).
thf(314,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v1_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v12_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[312]) ).
thf(5595,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,774]) ).
thf(5596,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v3_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5595:[bind(A,$thf( sk12 ))]]) ).
thf(10611,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,8707]) ).
thf(10648,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[10611]) ).
thf(13961,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != k1_xboole_0 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,10648]) ).
thf(13962,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[13961:[bind(A,$thf( sk2 ))]]) ).
thf(13994,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[13962]) ).
thf(14365,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6571]) ).
thf(14378,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[14365]) ).
thf(336,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_membered @ A ) ),
inference(cnf,[status(esa)],[332]) ).
thf(126,axiom,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( v1_xcmplx_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_membered) ).
thf(703,plain,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( v1_xcmplx_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(21504,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk23 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21065,146]) ).
thf(21505,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk23 ) ),
inference(pattern_uni,[status(thm)],[21504:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk23 ) ))]]) ).
thf(4604,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1946]) ).
thf(4611,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4604]) ).
thf(2349,plain,
( sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,780]) ).
thf(2357,plain,
( sk3
| ( v1_orders_2 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2349]) ).
thf(74,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(446,plain,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(22173,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk12 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21210,365]) ).
thf(22174,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk12 ),
inference(pattern_uni,[status(thm)],[22173:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk12 ) @ ( u1_struct_0 @ sk12 ) )),bind(B,$thf( u1_altcat_1 @ sk12 ))]]) ).
thf(113,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
thf(612,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(2257,plain,
( sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,760]) ).
thf(2266,plain,
( sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[2257]) ).
thf(6104,plain,
! [A: $i] :
( ( sk11 != k1_xboole_0 )
| ( l1_altcat_1 @ A )
| ( ( l2_altcat_1 @ k1_xboole_0 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[2767,223]) ).
thf(6105,plain,
( ( sk11 != k1_xboole_0 )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6104:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(15315,plain,
! [C: $i,B: $i,A: $i] :
( ( v1_relat_1 @ C )
| ( ( m1_pboole @ ( sk13 @ A ) @ A )
!= ( m1_pboole @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[283,364]) ).
thf(15316,plain,
! [A: $i] : ( v1_relat_1 @ ( sk13 @ A ) ),
inference(pattern_uni,[status(thm)],[15315:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk13 @ D ))]]) ).
thf(15319,plain,
! [A: $i] : ( v1_relat_1 @ ( sk13 @ A ) ),
inference(simp,[status(thm)],[15316]) ).
thf(8139,plain,
! [A: $i] :
( sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk2 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5558,146]) ).
thf(8140,plain,
( sk3
| ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[8139:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(117,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v3_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
thf(627,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_lattice3 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v3_yellow_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(76,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).
thf(450,plain,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(100,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
thf(539,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(11449,plain,
! [A: $i] :
( ( v12_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5686,146]) ).
thf(11450,plain,
( ( v12_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[11449:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(12598,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,9511]) ).
thf(12599,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(pattern_uni,[status(thm)],[12598:[bind(A,$thf( sk2 ))]]) ).
thf(12633,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk29 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[12599]) ).
thf(218,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(3331,plain,
( ( v6_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,858]) ).
thf(3346,plain,
( ( v6_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3331]) ).
thf(10898,plain,
! [A: $i] :
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5662,146]) ).
thf(10899,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[10898:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(10711,plain,
! [A: $i] :
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5644,146]) ).
thf(10712,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10711:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(16806,plain,
! [A: $i] :
( ( m1_altcat_2 @ ( sk18 @ A ) @ A )
| ( ( l2_altcat_1 @ sk11 )
!= ( l2_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[221,374]) ).
thf(16807,plain,
m1_altcat_2 @ ( sk18 @ sk11 ) @ sk11,
inference(pattern_uni,[status(thm)],[16806:[bind(A,$thf( sk11 ))]]) ).
thf(247,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) )
| ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( C = F ) ),
inference(cnf,[status(esa)],[246]) ).
thf(250,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( g2_altcat_1 @ A @ B @ C )
!= ( g2_altcat_1 @ D @ E @ F ) )
| ( C = F )
| ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ),
inference(lifteq,[status(thm)],[247]) ).
thf(556,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_yellow21 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(86,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( k3_yellow21 @ A @ B )
= ( k1_yellow21 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_yellow21) ).
thf(482,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( k3_yellow21 @ A @ B )
= ( k1_yellow21 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(203,plain,
v1_finset_1 @ sk9,
inference(cnf,[status(esa)],[202]) ).
thf(186,plain,
v2_membered @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(171,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v12_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[166]) ).
thf(139,plain,
( ( m1_subset_1 @ sk2 @ ( u1_struct_0 @ ( k9_waybel34 @ sk1 ) ) )
| ~ sk3 ),
inference(cnf,[status(esa)],[131]) ).
thf(20990,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_orders_2 @ sk25 )
!= ( l1_orders_2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[465,399]) ).
thf(20991,plain,
l1_struct_0 @ sk25,
inference(pattern_uni,[status(thm)],[20990:[bind(A,$thf( sk25 ))]]) ).
thf(258,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_altcat_2 @ B ) ),
inference(cnf,[status(esa)],[253]) ).
thf(1867,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ sk15 ) ) ),
inference(paramod_ordered,[status(thm)],[330,862]) ).
thf(1876,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk31 != sk15 ) ),
inference(simp,[status(thm)],[1867]) ).
thf(3220,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(rewrite,[status(thm)],[1876,927]) ).
thf(6487,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,3049]) ).
thf(6494,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[6487]) ).
thf(6396,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v4_orders_2 @ k1_xboole_0 )
| ( A
!= ( k5_waybel34 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[149,5710]) ).
thf(6397,plain,
( ~ ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( v4_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6396:[bind(A,$thf( k5_waybel34 @ sk2 ))]]) ).
thf(13708,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6397]) ).
thf(13721,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v4_orders_2 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[13708]) ).
thf(5080,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2171]) ).
thf(5087,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5080]) ).
thf(331,plain,
v1_relat_1 @ sk15,
inference(cnf,[status(esa)],[328]) ).
thf(2394,plain,
v1_relat_1 @ k1_xboole_0,
inference(rewrite,[status(thm)],[331,927]) ).
thf(4175,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1587]) ).
thf(4182,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4175]) ).
thf(6509,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk5 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,3083]) ).
thf(6516,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( sk5 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[6509]) ).
thf(4314,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1684]) ).
thf(4321,plain,
( ( v3_lattice3 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4314]) ).
thf(2569,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( m1_relset_1 @ E @ C @ D )
| ( ( m2_relset_1 @ ( sk10 @ A @ B ) @ B @ A )
!= ( m2_relset_1 @ E @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[2551,155]) ).
thf(2570,plain,
! [B: $i,A: $i] : ( m1_relset_1 @ ( sk10 @ A @ B ) @ B @ A ),
inference(pattern_uni,[status(thm)],[2569:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( sk10 @ F @ G ))]]) ).
thf(2576,plain,
! [B: $i,A: $i] : ( m1_relset_1 @ ( sk10 @ A @ B ) @ B @ A ),
inference(simp,[status(thm)],[2570]) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_yellow21 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(11286,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9218]) ).
thf(11322,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[11286]) ).
thf(549,plain,
! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow18 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[543]) ).
thf(99,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_membered) ).
thf(536,plain,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(4595,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1881]) ).
thf(4602,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4595]) ).
thf(3301,plain,
( ( v11_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk12 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,856]) ).
thf(3324,plain,
( ( v11_altcat_1 @ k1_xboole_0 )
| ( sk12 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[3301]) ).
thf(913,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk1 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,764]) ).
thf(914,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( sk1 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[913]) ).
thf(5567,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v1_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2042]) ).
thf(5568,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v1_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5567:[bind(A,$thf( sk29 ))]]) ).
thf(10086,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5602,146]) ).
thf(10087,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[10086:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(4439,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1813]) ).
thf(4446,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4439]) ).
thf(346,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v2_yellow18 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(5671,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2056]) ).
thf(5672,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v2_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5671:[bind(A,$thf( sk29 ))]]) ).
thf(8492,plain,
( sk3
| ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,756]) ).
thf(8520,plain,
( sk3
| ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[8492]) ).
thf(10130,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,8683]) ).
thf(10168,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk21 != sk2 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[10130]) ).
thf(13388,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 )
| ( A != sk21 ) ),
inference(paramod_ordered,[status(thm)],[149,10168]) ).
thf(13389,plain,
( ~ ( v1_xboole_0 @ sk21 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( sk2 != k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[13388:[bind(A,$thf( sk21 ))]]) ).
thf(5703,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk31 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,2186]) ).
thf(5704,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
| ( v2_yellow_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5703:[bind(A,$thf( sk31 ))]]) ).
thf(12192,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk29 != sk2 )
| ( ( v1_xboole_0 @ sk1 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9488]) ).
thf(12230,plain,
( ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ k1_xboole_0 )
| ~ sk3
| ( sk29 != sk2 )
| ( sk1 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[12192]) ).
thf(151,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( v1_finset_1 @ A )
| ~ ( v1_finset_1 @ B )
| ~ ( v1_finset_1 @ C )
| ( v1_finset_1 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ),
inference(cnf,[status(esa)],[150]) ).
thf(300,plain,
! [A: $i] :
( ~ ( l2_altcat_1 @ A )
| ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ( v3_yellow18 @ A ) ),
inference(cnf,[status(esa)],[293]) ).
thf(13440,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk2 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6236]) ).
thf(13453,plain,
( ( l1_altcat_1 @ k1_xboole_0 )
| ( v1_lattice3 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk2 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[13440]) ).
thf(5605,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_yellow21 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,894]) ).
thf(5606,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v2_yellow21 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5605:[bind(A,$thf( sk12 ))]]) ).
thf(410,plain,
! [B: $i,A: $i] :
( ~ ( v5_membered @ A )
| ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) ),
inference(cnf,[status(esa)],[405]) ).
thf(262,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v12_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(11738,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk5 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5698,146]) ).
thf(11739,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[11738:[bind(A,$thf( k5_waybel34 @ sk5 ))]]) ).
thf(19007,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( ( u1_struct_0 @ k1_xboole_0 )
!= k1_xboole_0 )
| ( A != sk6 ) ),
inference(paramod_ordered,[status(thm)],[149,18512]) ).
thf(19008,plain,
( ~ ( v1_xboole_0 @ sk6 )
| ( ( u1_struct_0 @ k1_xboole_0 )
!= k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[19007:[bind(A,$thf( sk6 ))]]) ).
thf(22549,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk11 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21344,365]) ).
thf(22550,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk11 ),
inference(pattern_uni,[status(thm)],[22549:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) )),bind(B,$thf( u1_altcat_1 @ sk11 ))]]) ).
thf(273,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v2_yellow21 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(24439,plain,
! [B: $i,A: $i] :
( ( v1_funct_1 @ B )
| ( ( m1_pboole @ ( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22576,365]) ).
thf(24440,plain,
v1_funct_1 @ ( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ),
inference(pattern_uni,[status(thm)],[24439:[bind(A,$thf( k3_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) )),bind(B,$thf( k2_altcat_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_altcat_1 @ sk11 ) ))]]) ).
thf(21564,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( ( v3_struct_0 @ sk31 )
!= ( v3_struct_0 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[21024,596]) ).
thf(21594,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk2 ) )
| ( sk31 != sk2 ) ),
inference(simp,[status(thm)],[21564]) ).
thf(13256,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6519,146]) ).
thf(13257,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[13256:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(5553,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk21 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1031]) ).
thf(5554,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
| ( v2_orders_2 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5553:[bind(A,$thf( sk21 ))]]) ).
thf(5071,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2105]) ).
thf(5078,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5071]) ).
thf(190,plain,
v4_membered @ k1_xboole_0,
inference(cnf,[status(esa)],[184]) ).
thf(1672,plain,
! [A: $i] :
( ( v1_funct_1 @ A )
| ( ( v1_xboole_0 @ k1_xboole_0 )
!= ( v1_xboole_0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[189,165]) ).
thf(1673,plain,
v1_funct_1 @ k1_xboole_0,
inference(pattern_uni,[status(thm)],[1672:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(5356,plain,
( ( v3_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2295]) ).
thf(5371,plain,
( ( v3_yellow_0 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5356]) ).
thf(4448,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk25 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1820]) ).
thf(4455,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( sk25 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4448]) ).
thf(208,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( B = D ) ),
inference(cnf,[status(esa)],[207]) ).
thf(210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( B = D )
| ~ ( m1_relset_1 @ B @ A @ A ) ),
inference(lifteq,[status(thm)],[208]) ).
thf(341,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v2_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v9_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[338]) ).
thf(268,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow21 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v1_altcat_2 @ B ) ),
inference(cnf,[status(esa)],[261]) ).
thf(358,plain,
v1_membered @ sk16,
inference(cnf,[status(esa)],[356]) ).
thf(9001,plain,
! [A: $i] :
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5594,146]) ).
thf(9002,plain,
( ( l1_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[9001:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(12502,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l1_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ ( k5_waybel34 @ sk16 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3029,5845]) ).
thf(12503,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ ( k5_waybel34 @ sk16 ) ) )
| ( l1_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[12502:[bind(A,$thf( k5_waybel34 @ sk16 ))]]) ).
thf(5585,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v25_waybel_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk29 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,1978]) ).
thf(5586,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk29 ) )
| ( v25_waybel_0 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5585:[bind(A,$thf( sk29 ))]]) ).
thf(305,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ C @ A )
| ~ ( m1_pboole @ D @ B )
| ~ ( r2_altcat_2 @ A @ B @ C @ D )
| ( r1_altcat_2 @ C @ D ) ),
inference(cnf,[status(esa)],[304]) ).
thf(5699,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( l2_altcat_1 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,854]) ).
thf(5700,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( l2_altcat_1 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5699:[bind(A,$thf( sk12 ))]]) ).
thf(4296,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk21 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1632]) ).
thf(4303,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( sk21 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4296]) ).
thf(917,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk2 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,778]) ).
thf(918,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( sk2 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[917]) ).
thf(195,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ A )
| ~ ( m1_pboole @ C @ A )
| ~ ( m3_pboole @ D @ A @ B @ C )
| ( m1_pboole @ D @ A ) ),
inference(cnf,[status(esa)],[194]) ).
thf(22627,plain,
! [B: $i,A: $i] :
( ( v1_relat_1 @ B )
| ( ( m1_pboole @ ( u1_altcat_1 @ sk11 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) ) )
!= ( m1_pboole @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21344,364]) ).
thf(22628,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk11 ),
inference(pattern_uni,[status(thm)],[22627:[bind(A,$thf( k2_zfmisc_1 @ ( u1_struct_0 @ sk11 ) @ ( u1_struct_0 @ sk11 ) )),bind(B,$thf( u1_altcat_1 @ sk11 ))]]) ).
thf(395,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( v2_orders_2 @ A )
| ~ ( v3_orders_2 @ A )
| ~ ( v4_orders_2 @ A )
| ~ ( v1_lattice3 @ A )
| ~ ( v2_lattice3 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( v2_orders_2 @ B )
| ~ ( v3_orders_2 @ B )
| ~ ( v4_orders_2 @ B )
| ~ ( v1_lattice3 @ B )
| ~ ( v2_lattice3 @ B )
| ~ ( l1_orders_2 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ~ ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
| ( v1_funct_1 @ ( k2_waybel34 @ A @ B @ C ) ) ),
inference(cnf,[status(esa)],[394]) ).
thf(1016,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk6 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,782]) ).
thf(1019,plain,
( ~ ( v3_struct_0 @ k1_xboole_0 )
| ( sk6 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[1016]) ).
thf(72,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
thf(442,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(12590,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,9511]) ).
thf(12626,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( r2_hidden @ ( u1_struct_0 @ sk2 ) @ sk1 )
| ~ sk3
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[12590]) ).
thf(8443,plain,
! [A: $i] :
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk23 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5588,146]) ).
thf(8444,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk23 ) ) ),
inference(pattern_uni,[status(thm)],[8443:[bind(A,$thf( k5_waybel34 @ sk23 ))]]) ).
thf(21846,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ ( u1_struct_0 @ sk29 ) ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[21464,146]) ).
thf(21847,plain,
l1_struct_0 @ ( k5_waybel34 @ ( u1_struct_0 @ sk29 ) ),
inference(pattern_uni,[status(thm)],[21846:[bind(A,$thf( k5_waybel34 @ ( u1_struct_0 @ sk29 ) ))]]) ).
thf(70,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_2) ).
thf(427,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(11294,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[149,9218]) ).
thf(11295,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(pattern_uni,[status(thm)],[11294:[bind(A,$thf( sk2 ))]]) ).
thf(11330,plain,
( ~ ( v1_xboole_0 @ sk2 )
| ~ ( v1_xboole_0 @ sk23 )
| ~ ( r2_hidden @ ( u1_struct_0 @ k1_xboole_0 ) @ sk1 )
| ~ sk3 ),
inference(simp,[status(thm)],[11295]) ).
thf(4929,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2049]) ).
thf(4936,plain,
( ( v2_lattice3 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4929]) ).
thf(200,plain,
v1_funct_1 @ sk8,
inference(cnf,[status(esa)],[198]) ).
thf(4323,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk23 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1693]) ).
thf(4330,plain,
( ( v1_orders_2 @ k1_xboole_0 )
| ( sk23 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4323]) ).
thf(11372,plain,
! [A: $i] :
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk19 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5684,146]) ).
thf(11373,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk19 ) ) ),
inference(pattern_uni,[status(thm)],[11372:[bind(A,$thf( k5_waybel34 @ sk19 ))]]) ).
thf(369,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v9_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ( v9_altcat_1 @ B ) ),
inference(cnf,[status(esa)],[366]) ).
thf(112,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ D @ ( k1_altcat_1 @ A @ B @ C ) ) )
=> ( ( v1_funct_1 @ ( k5_yellow21 @ A @ B @ C @ D ) )
& ( v1_funct_2 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) )
& ( v5_orders_3 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( k3_yellow21 @ A @ B ) @ ( k3_yellow21 @ A @ C ) )
& ( m2_relset_1 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_yellow21) ).
thf(607,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A )
& ( l2_altcat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ D @ ( k1_altcat_1 @ A @ B @ C ) ) )
=> ( ( v1_funct_1 @ ( k5_yellow21 @ A @ B @ C @ D ) )
& ( v1_funct_2 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) )
& ( v5_orders_3 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( k3_yellow21 @ A @ B ) @ ( k3_yellow21 @ A @ C ) )
& ( m2_relset_1 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(337,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_membered @ A ) ),
inference(cnf,[status(esa)],[332]) ).
thf(11821,plain,
! [A: $i] :
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5700,146]) ).
thf(11822,plain,
( ( l2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[11821:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(90,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] :
( ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel10) ).
thf(496,plain,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] :
( ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(254,plain,
! [B: $i,A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( v3_yellow18 @ A )
| ~ ( l2_altcat_1 @ A )
| ~ ( m1_altcat_2 @ B @ A )
| ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v3_altcat_2 @ B @ A )
| ( v3_yellow18 @ B ) ),
inference(cnf,[status(esa)],[253]) ).
thf(10382,plain,
! [A: $i] :
( ( v2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5622,146]) ).
thf(10383,plain,
( ( v2_altcat_1 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk12 ) ) ),
inference(pattern_uni,[status(thm)],[10382:[bind(A,$thf( k5_waybel34 @ sk12 ))]]) ).
thf(5912,plain,
! [A: $i] :
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk21 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5554,146]) ).
thf(5913,plain,
( ( v2_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk21 ) ) ),
inference(pattern_uni,[status(thm)],[5912:[bind(A,$thf( k5_waybel34 @ sk21 ))]]) ).
thf(354,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( m1_pboole @ B @ ( k2_zfmisc_1 @ A @ A ) )
| ~ ( m3_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) )
| ( v6_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ),
inference(cnf,[status(esa)],[353]) ).
thf(10012,plain,
! [A: $i] :
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ A )
| ( ( l1_altcat_1 @ ( k5_waybel34 @ sk31 ) )
!= ( l1_altcat_1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5612,146]) ).
thf(10013,plain,
( ( v4_orders_2 @ k1_xboole_0 )
| ( l1_struct_0 @ ( k5_waybel34 @ sk31 ) ) ),
inference(pattern_uni,[status(thm)],[10012:[bind(A,$thf( k5_waybel34 @ sk31 ))]]) ).
thf(21465,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk29 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[189,21405]) ).
thf(21478,plain,
( ( u1_struct_0 @ sk29 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[21465]) ).
thf(215,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) ),
inference(cnf,[status(esa)],[212]) ).
thf(4737,plain,
( ( v25_waybel_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk29 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,1978]) ).
thf(4752,plain,
( ( v25_waybel_0 @ k1_xboole_0 )
| ( sk29 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[4737]) ).
thf(5240,plain,
( ( v1_yellow_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ sk31 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,2288]) ).
thf(5255,plain,
( ( v1_yellow_0 @ k1_xboole_0 )
| ( sk31 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[5240]) ).
thf(15284,plain,
( ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( l1_struct_0 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ ( k5_waybel34 @ sk1 ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ) ),
inference(paramod_ordered,[status(thm)],[189,6788]) ).
thf(15305,plain,
( ( l1_struct_0 @ k1_xboole_0 )
| ~ ( v2_setfam_1 @ k1_xboole_0 )
| ( ( k5_waybel34 @ sk1 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[15284]) ).
thf(5573,plain,
! [A: $i] :
( ( l1_altcat_1 @ ( k5_waybel34 @ A ) )
| ( v3_yellow18 @ k1_xboole_0 )
| ( ( v1_xboole_0 @ A )
!= ( v1_xboole_0 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[3029,898]) ).
thf(5574,plain,
( ( l1_altcat_1 @ ( k5_waybel34 @ sk12 ) )
| ( v3_yellow18 @ k1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5573:[bind(A,$thf( sk12 ))]]) ).
thf(39329,plain,
$false,
inference(e,[status(thm)],[24141,20993,5390,555,352,5686,15806,365,138,2295,760,479,19101,333,1031,5654,5676,10753,234,6527,5582,1005,14468,217,5644,23704,379,4592,3185,408,2976,762,21585,6219,13062,3040,308,19081,440,655,614,269,202,597,5614,22770,3382,385,384,142,472,12522,5674,2042,6505,6401,3049,12852,4575,533,22706,550,814,9218,21156,698,5708,1954,5636,340,9481,13029,6236,10599,782,9195,301,1724,22474,4963,3597,21079,651,174,404,898,185,1001,2723,18496,1601,320,8678,565,389,12832,372,14029,5640,357,3029,570,184,21210,8996,21101,802,344,12578,5712,6519,5706,196,4428,460,157,10655,6240,20981,12837,22576,2049,421,16873,5622,325,228,289,448,3557,21037,261,12517,24040,10687,189,8717,2767,284,5925,416,19927,19120,11132,152,756,4173,5861,3724,376,623,5558,238,1978,514,1677,806,5682,216,1946,164,2105,9490,179,1632,321,21024,3163,211,646,253,485,5680,10786,5650,348,574,353,8759,397,24541,10442,2281,293,453,396,133,6772,411,243,265,12306,206,602,5572,147,11939,5929,5220,634,5096,12536,734,221,19095,5648,132,774,527,312,307,10062,11528,233,5751,546,201,18498,19903,381,11698,6760,380,5562,13051,15627,6571,220,366,4312,12127,5670,10975,1580,11719,561,392,424,23422,21083,334,9488,957,894,6550,778,12664,302,260,862,598,12878,160,3022,820,192,407,693,630,275,137,165,18503,22052,5594,8683,252,197,852,5690,583,5113,493,2741,3033,324,11503,229,566,5702,361,15050,4725,1968,21591,2565,24684,21611,21609,21178,2179,5566,7934,5658,3028,22200,551,4063,285,224,16893,6413,5714,317,21258,5238,156,20985,9945,1856,1587,188,388,169,13099,593,21797,21026,519,5626,578,10661,356,141,13074,420,22122,5941,488,5694,339,14752,193,2666,547,212,21001,328,471,554,18512,5620,8687,4191,5588,12091,4054,5865,5662,2551,21306,738,6788,7587,6211,173,22937,7027,11336,569,4953,3364,2968,393,5576,22252,11274,371,3083,503,134,5747,244,13014,266,360,205,541,398,4036,530,718,6497,12183,237,10802,6486,311,906,10862,22396,12813,166,21583,264,11148,856,5608,573,180,444,11561,149,601,6368,412,750,5666,425,2176,4708,10227,3042,375,5598,5698,176,423,23132,3472,3945,4926,8124,9521,10874,545,21974,584,21218,1007,19086,191,402,21822,732,286,15320,577,5612,7041,291,281,204,413,3213,22772,641,391,15641,2193,144,21460,10215,466,335,5578,350,14384,382,572,6385,313,3051,6357,22841,236,3579,181,5735,11085,5634,5556,5580,22422,159,187,172,219,274,784,419,2906,377,230,10037,318,8485,13018,2510,764,979,6585,604,900,406,2774,23805,362,567,245,5610,509,22350,303,5381,599,5616,477,387,5584,7768,758,816,323,213,20999,10732,1029,5656,155,198,1820,6376,345,858,552,2343,8156,11188,594,140,240,251,9511,19917,521,7598,399,21065,1594,2171,10275,868,455,223,226,241,7232,780,5646,394,306,9197,2288,135,563,299,5849,5688,18522,426,589,21097,12368,548,4735,553,458,10517,722,927,374,255,2878,1684,2234,21405,12107,617,5678,342,23321,5710,355,5652,754,12075,194,145,4045,580,1961,5602,872,10112,13047,414,327,23228,4200,3058,409,11225,5570,776,5624,5229,557,5716,1003,20983,705,282,8707,150,5399,707,22376,5592,263,310,5684,199,5731,1813,370,3026,21464,5560,6508,15640,338,11034,359,5638,12841,4437,177,182,470,576,7583,951,808,1702,864,1749,314,595,5596,13994,2056,14378,9486,336,703,21505,21135,4611,2279,2357,600,175,386,446,571,1881,22174,612,2266,143,6105,15319,8140,627,450,539,11450,12633,495,218,3346,10899,10712,16807,250,465,231,363,556,482,203,5660,1834,5632,2406,304,351,186,10648,171,139,896,748,20991,258,3220,390,401,6494,13721,5087,5600,2394,4182,6516,4321,5692,207,21589,2576,272,11322,549,536,22000,4602,568,3324,290,914,378,235,6397,246,21005,5568,10087,383,832,5590,4446,346,5672,8520,13389,5704,19901,214,12230,151,300,999,2302,13453,5606,410,262,146,11739,818,19008,22550,273,24440,21594,13257,21581,5554,5078,405,854,190,183,1673,422,3132,5371,790,373,4455,603,564,210,326,341,268,358,1693,9002,5564,12503,400,5586,5642,2063,283,305,5700,239,242,4303,918,136,2186,10168,21344,195,22628,415,395,740,464,332,1827,575,860,596,1019,3020,9193,131,19079,178,442,987,5945,12626,8444,21847,427,5668,11330,4936,163,200,4330,850,5891,11373,5845,369,607,337,5618,309,543,11822,5664,222,592,496,364,8685,254,227,10383,322,5877,5913,354,10013,21478,215,4752,5255,21446,15305,5574,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 14:07:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.62/1.04 % [INFO] Parsing done (190ms).
% 1.62/1.04 % [INFO] Running in sequential loop mode.
% 2.20/1.25 % [INFO] eprover registered as external prover.
% 2.20/1.25 % [INFO] cvc4 registered as external prover.
% 2.20/1.25 % [INFO] Scanning for conjecture ...
% 2.35/1.35 % [INFO] Found a conjecture and 137 axioms. Running axiom selection ...
% 2.50/1.43 % [INFO] Axiom selection finished. Selected 128 axioms (removed 9 axioms).
% 3.11/1.54 % [INFO] Problem is first-order (TPTP FOF).
% 3.13/1.55 % [INFO] Type checking passed.
% 3.13/1.56 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 161.51/29.73 % External prover 'e' found a proof!
% 161.51/29.73 % [INFO] Killing All external provers ...
% 161.51/29.73 % Time passed: 29210ms (effective reasoning time: 28683ms)
% 161.51/29.73 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 161.51/29.73 % Axioms used in derivation (128): rc2_yellow_0, dt_k3_altcat_1, cc15_membered, existence_l1_struct_0, rc2_setfam_1, redefinition_m2_relset_1, fc1_altcat_4, existence_m1_altcat_2, cc1_waybel17, cc2_finset_1, dt_l1_altcat_1, rc7_functor0, cc12_membered, dt_g2_altcat_1, rc4_finset_1, dt_k5_yellow21, redefinition_k3_yellow21, fc10_waybel_8, cc10_membered, dt_k9_waybel34, dt_u2_altcat_1, cc2_yellow21, t1_subset, rc1_membered, d11_altcat_2, d6_yellow21, rc1_waybel10, dt_l2_altcat_1, dt_m3_pboole, cc12_waybel_0, rc3_funct_1, cc1_lattice3, dt_m2_relset_1, cc11_waybel_0, rc13_waybel_0, cc14_waybel_0, d11_waybel34, rc1_funct_1, dt_u1_orders_2, cc5_yellow21, rc1_lattice3, fc8_waybel_8, fc6_waybel_8, dt_k1_yellow21, rc2_lattice3, t6_boole, fc6_waybel34, redefinition_r2_altcat_2, t5_subset, cc9_waybel_0, cc19_membered, cc8_yellow21, existence_m1_relset_1, rc3_setfam_1, fc7_waybel_8, cc7_yellow21, fc6_membered, existence_l2_altcat_1, cc11_membered, cc2_functor0, t4_subset, fc9_waybel_8, cc20_membered, t7_boole, existence_l1_orders_2, cc1_funct_1, dt_m1_altcat_2, rc3_struct_0, cc13_waybel_0, dt_g1_orders_2, rc2_funct_1, cc2_setfam_1, cc4_membered, cc1_yellow_2, dt_m1_pboole, existence_m3_pboole, cc18_membered, abstractness_v1_orders_2, cc4_yellow_0, existence_m1_pboole, cc2_funct_1, cc1_yellow21, t3_subset, cc1_relset_1, cc13_membered, existence_m1_subset_1, dt_k2_altcat_1, existence_m2_relset_1, existence_l1_altcat_1, free_g2_altcat_1, dt_l1_orders_2, free_g1_orders_2, fc1_struct_0, rc1_yellow21, dt_k5_waybel34, reflexivity_r1_tarski, cc11_yellow21, cc17_membered, cc9_yellow21, cc10_waybel_0, cc5_yellow_0, rc3_finset_1, dt_u1_altcat_1, rc1_finset_1, fc4_waybel_8, cc1_finset_1, dt_k3_yellow21, cc1_yellow_0, t8_boole, reflexivity_r2_altcat_2, rc5_struct_0, t2_subset, cc1_membered, abstractness_v6_altcat_1, cc2_membered, cc2_lattice3, cc3_membered, cc14_membered, cc6_yellow21, cc16_membered, reflexivity_r1_altcat_2, dt_k2_waybel34, fc14_finset_1, cc3_yellow_0, fc5_waybel_8, t15_waybel34, antisymmetry_r2_hidden, fc15_finset_1
% 161.51/29.73 % No. of inferences in proof: 1581
% 161.51/29.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 29210 ms resp. 28683 ms w/o parsing
% 161.98/29.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 161.98/29.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------