TSTP Solution File: LAT351+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 11:28:03 EDT 2023
% Result : Theorem 9.90s 2.98s
% Output : Refutation 10.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 171
% Syntax : Number of formulae : 285 ( 33 unt; 59 typ; 0 def)
% Number of atoms : 1369 ( 38 equ; 0 cnn)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 3605 ( 203 ~; 2 |; 918 &;2259 @)
% ( 5 <=>; 218 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 74 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 59 usr; 2 con; 0-3 aty)
% Number of variables : 341 ( 0 ^; 284 !; 57 ?; 341 :)
% Comments :
%------------------------------------------------------------------------------
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(v3_lattice3_type,type,
v3_lattice3: $i > $o ).
thf(v3_waybel_3_type,type,
v3_waybel_3: $i > $o ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(r1_waybel22_type,type,
r1_waybel22: $i > $i > $o ).
thf(k1_card_1_type,type,
k1_card_1: $i > $i ).
thf(r5_waybel_1_type,type,
r5_waybel_1: $i > $i > $o ).
thf(k2_yellow_1_type,type,
k2_yellow_1: $i > $i ).
thf(k9_waybel_0_type,type,
k9_waybel_0: $i > $i ).
thf(k3_yellow_1_type,type,
k3_yellow_1: $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
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(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v1_setfam_1_type,type,
v1_setfam_1: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k1_struct_0_type,type,
k1_struct_0: $i > $i > $i ).
thf(k1_tarski_type,type,
k1_tarski: $i > $i ).
thf(g1_orders_2_type,type,
g1_orders_2: $i > $i > $i ).
thf(k1_waybel22_type,type,
k1_waybel22: $i > $i ).
thf(a_1_0_waybel22_type,type,
a_1_0_waybel22: $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_orders_2_type,type,
v1_orders_2: $i > $o ).
thf(v3_realset2_type,type,
v3_realset2: $i > $o ).
thf(v3_waybel_8_type,type,
v3_waybel_8: $i > $o ).
thf(u1_orders_2_type,type,
u1_orders_2: $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(v2_waybel_3_type,type,
v2_waybel_3: $i > $o ).
thf(v1_waybel_8_type,type,
v1_waybel_8: $i > $o ).
thf(v2_waybel_8_type,type,
v2_waybel_8: $i > $o ).
thf(v1_waybel_5_type,type,
v1_waybel_5: $i > $o ).
thf(v2_waybel_0_type,type,
v2_waybel_0: $i > $i > $o ).
thf(k5_waybel_0_type,type,
k5_waybel_0: $i > $i > $i ).
thf(v13_waybel_0_type,type,
v13_waybel_0: $i > $i > $o ).
thf(v1_yellow_0_type,type,
v1_yellow_0: $i > $o ).
thf(v25_waybel_0_type,type,
v25_waybel_0: $i > $o ).
thf(v1_card_1_type,type,
v1_card_1: $i > $o ).
thf(k7_waybel_0_type,type,
k7_waybel_0: $i > $i > $i ).
thf(v3_yellow_0_type,type,
v3_yellow_0: $i > $o ).
thf(v16_waybel_0_type,type,
v16_waybel_0: $i > $o ).
thf(v9_waybel_1_type,type,
v9_waybel_1: $i > $o ).
thf(v2_waybel_1_type,type,
v2_waybel_1: $i > $o ).
thf(a_1_1_waybel_0_type,type,
a_1_1_waybel_0: $i > $i ).
thf(v10_waybel_1_type,type,
v10_waybel_1: $i > $o ).
thf(v11_waybel_1_type,type,
v11_waybel_1: $i > $o ).
thf(82,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_lattice3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow_0) ).
thf(503,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_lattice3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(14,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(161,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)],[14]) ).
thf(6,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(138,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(39,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_setfam_1) ).
thf(234,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(93,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(555,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)],[93]) ).
thf(98,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(582,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)],[98]) ).
thf(35,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(217,plain,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(43,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
thf(247,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(105,axiom,
! [A: $i] :
( ~ ( v3_struct_0 @ ( k3_yellow_1 @ A ) )
& ( v1_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v2_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v3_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v4_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v1_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v2_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v3_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v1_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v2_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v3_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v24_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v25_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v9_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v10_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v11_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v3_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v1_waybel_8 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_8 @ ( k3_yellow_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).
thf(614,plain,
! [A: $i] :
( ~ ( v3_struct_0 @ ( k3_yellow_1 @ A ) )
& ( v1_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v2_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v3_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v4_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v1_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v2_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v3_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v1_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v2_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v3_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v24_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v25_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v9_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v10_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v11_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v3_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v1_waybel_8 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_8 @ ( k3_yellow_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(67,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(384,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)],[67]) ).
thf(88,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(533,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)],[88]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(174,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(23,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(185,plain,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(76,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 )
& ( v16_waybel_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v2_waybel_1 @ A )
& ( v9_waybel_1 @ A )
& ( v1_waybel_5 @ A )
& ( v3_realset2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_7) ).
thf(436,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 )
& ( v16_waybel_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v2_waybel_1 @ A )
& ( v9_waybel_1 @ A )
& ( v1_waybel_5 @ A )
& ( v3_realset2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(68,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(389,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)],[68]) ).
thf(12,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(157,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)],[12]) ).
thf(102,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(606,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)],[102]) ).
thf(10,axiom,
! [A: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_setfam_1) ).
thf(152,plain,
! [A: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(53,axiom,
! [A: $i] :
( ( v1_orders_2 @ ( k2_yellow_1 @ A ) )
& ( l1_orders_2 @ ( k2_yellow_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
thf(316,plain,
! [A: $i] :
( ( v1_orders_2 @ ( k2_yellow_1 @ A ) )
& ( l1_orders_2 @ ( k2_yellow_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(34,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(216,plain,
v1_xboole_0 @ k1_xboole_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_struct_0 @ A @ B )
= ( k1_tarski @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
thf(179,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_struct_0 @ A @ B )
= ( k1_tarski @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(54,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
thf(321,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k7_waybel_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_waybel_0) ).
thf(376,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k7_waybel_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k1_struct_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_struct_0) ).
thf(211,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k1_struct_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(45,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(253,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)],[45]) ).
thf(37,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(221,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(4,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(132,plain,
! [A: $i] : ( r1_tarski @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(70,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(396,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)],[70]) ).
thf(107,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ ( a_1_0_waybel22 @ B ) )
<=> ? [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k3_yellow_1 @ B ) ) )
& ( A
= ( k7_waybel_0 @ ( k3_yellow_1 @ B ) @ C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( C
= ( k1_tarski @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_0_waybel22) ).
thf(660,plain,
! [A: $i,B: $i] :
( ( ( r2_hidden @ A @ ( a_1_0_waybel22 @ B ) )
=> ? [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k3_yellow_1 @ B ) ) )
& ( A
= ( k7_waybel_0 @ ( k3_yellow_1 @ B ) @ C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( C
= ( k1_tarski @ D ) ) ) ) )
& ( ? [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k3_yellow_1 @ B ) ) )
& ( A
= ( k7_waybel_0 @ ( k3_yellow_1 @ B ) @ C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( C
= ( k1_tarski @ D ) ) ) )
=> ( r2_hidden @ A @ ( a_1_0_waybel22 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(30,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(206,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)],[30]) ).
thf(48,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(292,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(84,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(512,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)],[84]) ).
thf(110,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(678,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)],[110]) ).
thf(87,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(529,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)],[87]) ).
thf(56,axiom,
! [A: $i] : ( v1_card_1 @ ( k1_card_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_card_1) ).
thf(334,plain,
! [A: $i] : ( v1_card_1 @ ( k1_card_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(113,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( v13_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_waybel_0) ).
thf(693,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( v13_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(78,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(467,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)],[78]) ).
thf(27,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(197,plain,
? [A: $i] : ( l1_struct_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(63,axiom,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v16_waybel_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc12_waybel_0) ).
thf(361,plain,
? [A: $i] :
( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v16_waybel_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(77,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 )
& ( v3_realset2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow_0) ).
thf(456,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 )
& ( v3_realset2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
thf(224,plain,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) )
& ( ( r2_hidden @ C @ B )
=> ( r2_hidden @ C @ A ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(24,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(188,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(62,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v2_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( v1_waybel_8 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_waybel_8) ).
thf(356,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v2_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v24_waybel_0 @ A )
& ( v1_waybel_8 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(17,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(169,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)],[17]) ).
thf(7,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(141,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(103,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ~ ( v1_xboole_0 @ ( k9_waybel_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel16) ).
thf(610,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ~ ( v1_xboole_0 @ ( k9_waybel_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(79,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(471,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)],[79]) ).
thf(81,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v1_waybel_5 @ 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 )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_5) ).
thf(488,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v1_waybel_5 @ 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 )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(58,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(339,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)],[58]) ).
thf(86,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(526,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)],[86]) ).
thf(5,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(134,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)],[5]) ).
thf(42,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(244,plain,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(90,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v1_waybel_5 @ A ) )
=> ( ~ ( v3_struct_0 @ 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',cc1_yellow_7) ).
thf(541,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v1_waybel_5 @ A ) )
=> ( ~ ( v3_struct_0 @ 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)],[90]) ).
thf(106,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(657,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)],[106]) ).
thf(99,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( r5_waybel_1 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r5_waybel_1) ).
thf(586,plain,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( r5_waybel_1 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(3,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(128,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(40,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(237,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)],[40]) ).
thf(20,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(176,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(97,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ~ ( v1_xboole_0 @ ( k7_waybel_0 @ A @ B ) )
& ( v2_waybel_0 @ ( k7_waybel_0 @ A @ B ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel_0) ).
thf(579,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ~ ( v1_xboole_0 @ ( k7_waybel_0 @ A @ B ) )
& ( v2_waybel_0 @ ( k7_waybel_0 @ A @ B ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(204,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(61,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_waybel_5 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_waybel_5) ).
thf(350,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_waybel_5 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(13,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(159,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)],[13]) ).
thf(101,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( v13_waybel_0 @ ( k7_waybel_0 @ A @ B ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_0) ).
thf(604,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( v13_waybel_0 @ ( k7_waybel_0 @ A @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(18,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(172,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(111,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( r2_hidden @ A @ ( a_1_1_waybel_0 @ B ) )
<=> ? [C: $i] :
( ~ ( v1_xboole_0 @ C )
& ( v2_waybel_0 @ C @ B )
& ( v13_waybel_0 @ C @ B )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( A = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_1_waybel_0) ).
thf(681,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( ( r2_hidden @ A @ ( a_1_1_waybel_0 @ B ) )
=> ? [C: $i] :
( ~ ( v1_xboole_0 @ C )
& ( v2_waybel_0 @ C @ B )
& ( v13_waybel_0 @ C @ B )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( A = C ) ) )
& ( ? [C: $i] :
( ~ ( v1_xboole_0 @ C )
& ( v2_waybel_0 @ C @ B )
& ( v13_waybel_0 @ C @ B )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( A = C ) )
=> ( r2_hidden @ A @ ( a_1_1_waybel_0 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(36,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(219,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)],[36]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( v2_waybel_0 @ B @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( v2_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A )
& ( v13_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc17_waybel_0) ).
thf(303,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( v2_waybel_0 @ B @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( v2_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A )
& ( v13_waybel_0 @ ( k5_waybel_0 @ A @ B ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(31,axiom,
! [A: $i] :
( ( k1_waybel22 @ A )
= ( a_1_0_waybel22 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel22) ).
thf(208,plain,
! [A: $i] :
( ( k1_waybel22 @ A )
= ( a_1_0_waybel22 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(83,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( k9_waybel_0 @ A )
= ( a_1_1_waybel_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d24_waybel_0) ).
thf(509,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( k9_waybel_0 @ A )
= ( a_1_1_waybel_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(75,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
thf(434,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(60,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(345,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)],[60]) ).
thf(55,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v24_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v25_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
thf(323,plain,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v24_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v25_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(33,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(213,plain,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ ( k1_tarski @ A ) @ ( k1_tarski @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) )
& ( v3_realset2 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_0) ).
thf(240,plain,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ ( k1_tarski @ A ) @ ( k1_tarski @ A ) )
=> ( ~ ( v3_struct_0 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) )
& ( v1_orders_2 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) )
& ( v3_realset2 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(71,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel_8) ).
thf(399,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(47,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A )
& ( v1_waybel_8 @ A )
& ( v2_waybel_8 @ A )
& ( v3_waybel_8 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_8) ).
thf(278,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A )
& ( v1_waybel_8 @ A )
& ( v2_waybel_8 @ A )
& ( v3_waybel_8 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(74,axiom,
! [A: $i] :
( ( k1_card_1 @ ( k1_waybel22 @ A ) )
= ( k1_card_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel22) ).
thf(431,plain,
! [A: $i] :
( ( k1_card_1 @ ( k1_waybel22 @ A ) )
= ( k1_card_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(16,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(167,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(69,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(394,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)],[69]) ).
thf(51,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(306,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)],[51]) ).
thf(100,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v24_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v25_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel22) ).
thf(589,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v24_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v25_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(59,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(342,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)],[59]) ).
thf(92,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ~ ( v1_xboole_0 @ ( k5_waybel_0 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel_0) ).
thf(553,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ~ ( v1_xboole_0 @ ( k5_waybel_0 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(8,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(145,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)],[8]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(46,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_waybel_8 @ 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 ) ) )
& ( v3_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 ) ) )
& ( v1_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_yellow_0 @ ( 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 ) ) )
& ( v2_waybel_3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_waybel_3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_waybel_8) ).
thf(263,plain,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_waybel_8 @ 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 ) ) )
& ( v3_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 ) ) )
& ( v1_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_yellow_0 @ ( 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 ) ) )
& ( v2_waybel_3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_waybel_3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v1_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v3_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(22,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v1_xboole_0 @ ( k1_tarski @ A ) )
& ( v1_setfam_1 @ ( k1_tarski @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_setfam_1) ).
thf(182,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v1_xboole_0 @ ( k1_tarski @ A ) )
& ( v1_setfam_1 @ ( k1_tarski @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(28,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(199,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)],[28]) ).
thf(109,axiom,
! [A: $i] :
( ( v1_orders_2 @ ( k3_yellow_1 @ A ) )
& ( l1_orders_2 @ ( k3_yellow_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
thf(673,plain,
! [A: $i] :
( ( v1_orders_2 @ ( k3_yellow_1 @ A ) )
& ( l1_orders_2 @ ( k3_yellow_1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(57,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_waybel_0 @ A @ B )
= ( k5_waybel_0 @ A @ ( k1_struct_0 @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d18_waybel_0) ).
thf(336,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_waybel_0 @ A @ B )
= ( k5_waybel_0 @ A @ ( k1_struct_0 @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(11,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(154,plain,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(52,axiom,
! [A: $i] : ( m1_subset_1 @ ( k1_waybel22 @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k3_yellow_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel22) ).
thf(314,plain,
! [A: $i] : ( m1_subset_1 @ ( k1_waybel22 @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k3_yellow_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(104,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) )
=> ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel22) ).
thf(612,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) )
=> ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(44,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(250,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(108,axiom,
? [A: $i] : ( l1_orders_2 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(671,plain,
? [A: $i] : ( l1_orders_2 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(85,axiom,
! [A: $i] : ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) @ ( k1_waybel22 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_waybel22) ).
thf(524,plain,
! [A: $i] : ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) @ ( k1_waybel22 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(64,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_waybel_8 @ 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 ) ) )
& ( v4_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 ) ) )
& ( v1_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_waybel_8) ).
thf(368,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_waybel_8 @ 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 ) ) )
& ( v4_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 ) ) )
& ( v1_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) )
& ( v2_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( r1_waybel22 @ B @ C )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ A ) ) )
=> ( r5_waybel_1 @ B @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel22) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( r1_waybel22 @ B @ C )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ A ) ) )
=> ( r5_waybel_1 @ B @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(114,plain,
~ ! [A: $i,B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( r1_waybel22 @ B @ C )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ A ) ) )
=> ( r5_waybel_1 @ B @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(73,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A )
& ( v1_waybel_8 @ A )
& ( v2_waybel_8 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_8) ).
thf(418,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_waybel_8 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v2_waybel_3 @ A )
& ( v3_waybel_3 @ A )
& ( v1_waybel_8 @ A )
& ( v2_waybel_8 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(66,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(378,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)],[66]) ).
thf(91,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(549,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)],[91]) ).
thf(89,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B )
& ( v2_waybel_0 @ B @ A )
& ( v13_waybel_0 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_waybel_0) ).
thf(536,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B )
& ( v2_waybel_0 @ B @ A )
& ( v13_waybel_0 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(72,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v1_waybel_5 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v9_waybel_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_5) ).
thf(410,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v1_waybel_5 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v9_waybel_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(25,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(190,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)],[25]) ).
thf(95,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(564,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)],[95]) ).
thf(49,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 )
& ( v1_waybel_5 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_5) ).
thf(294,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 )
& ( v1_waybel_5 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(26,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(195,plain,
? [A: $i] : ( v1_xboole_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(96,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v16_waybel_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel_0) ).
thf(575,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_realset2 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v16_waybel_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(15,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(163,plain,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(112,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(691,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)],[112]) ).
thf(80,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k5_waybel_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel_0) ).
thf(486,plain,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k5_waybel_0 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(94,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v3_waybel_3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i,D: $i] :
( ( ( r1_waybel22 @ A @ C )
& ( r1_waybel22 @ B @ D )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ D ) ) )
=> ( r5_waybel_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_waybel22) ).
thf(560,plain,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v3_waybel_3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i,D: $i] :
( ( ( r1_waybel22 @ A @ C )
& ( r1_waybel22 @ B @ D )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ D ) ) )
=> ( r5_waybel_1 @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(725,plain,
$false,
inference(cvc4,[status(thm)],[503,161,138,234,555,582,217,247,614,384,533,174,185,436,389,157,606,152,316,216,179,321,376,211,253,221,132,396,660,206,292,512,678,529,334,693,467,197,361,456,224,188,356,169,141,610,471,488,339,526,134,244,541,657,586,128,237,176,579,204,350,159,604,172,681,219,303,208,509,434,345,323,213,240,399,278,431,167,394,306,589,342,553,145,150,263,182,199,673,336,154,314,612,250,671,524,368,114,418,378,549,536,410,190,564,294,195,575,163,691,486,560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.09 % Command : run_Leo-III %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Thu May 18 14:39:50 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.67/0.66 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.96/0.82 % [INFO] Parsing done (161ms).
% 0.96/0.83 % [INFO] Running in sequential loop mode.
% 1.54/1.03 % [INFO] eprover registered as external prover.
% 1.54/1.03 % [INFO] cvc4 registered as external prover.
% 1.54/1.04 % [INFO] Scanning for conjecture ...
% 1.67/1.13 % [INFO] Found a conjecture and 120 axioms. Running axiom selection ...
% 2.03/1.21 % [INFO] Axiom selection finished. Selected 111 axioms (removed 9 axioms).
% 2.35/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 2.35/1.32 % [INFO] Type checking passed.
% 2.35/1.33 % [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 ...
% 9.90/2.97 % External prover 'cvc4' found a proof!
% 9.90/2.97 % [INFO] Killing All external provers ...
% 9.90/2.97 % Time passed: 2601ms (effective reasoning time: 2145ms)
% 9.90/2.97 % 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)>
% 9.90/2.98 % Axioms used in derivation (111): fc4_subset_1, cc4_waybel_5, dt_l1_orders_2, fc2_waybel16, redefinition_m2_relset_1, dt_k7_waybel_0, fraenkel_a_1_0_waybel22, fc10_waybel_8, cc3_waybel_5, t1_subset, fc12_waybel_8, cc1_setfam_1, fc1_xboole_0, rc2_yellow_0, dt_k1_struct_0, cc2_waybel_8, cc12_waybel_0, rc3_funct_1, d18_waybel_0, cc1_waybel22, cc1_lattice3, dt_m2_relset_1, fc1_waybel16, cc14_waybel_0, d24_waybel_0, cc11_waybel_0, rc13_waybel_0, rc1_waybel_5, rc1_funct_1, cc2_waybel_5, dt_u1_orders_2, fc17_waybel_0, fc14_waybel_0, fc8_waybel_8, fc6_waybel_8, fc1_waybel22, rc1_lattice3, fc2_setfam_1, dt_k3_yellow_1, rc2_lattice3, rc2_subset_1, cc5_waybel_0, t6_boole, dt_k1_card_1, dt_k1_waybel22, t5_subset, cc9_waybel_0, existence_m1_relset_1, cc2_yellow_0, fc7_waybel_8, fc2_subset_1, cc4_waybel_8, t17_waybel22, t2_tarski, t4_subset, fc9_waybel_8, t16_waybel22, t7_boole, existence_l1_orders_2, cc1_funct_1, fc1_subset_1, rc1_yellow_7, rc3_struct_0, cc13_waybel_0, dt_g1_orders_2, rc2_funct_1, rc1_subset_1, reflexivity_r5_waybel_1, abstractness_v1_orders_2, cc4_yellow_0, cc2_funct_1, t3_subset, cc1_relset_1, existence_m1_subset_1, fc14_waybel_8, fc8_waybel_0, dt_k2_yellow_1, cc3_waybel_8, existence_m2_relset_1, fc1_yellow_0, free_g1_orders_2, fc1_struct_0, redefinition_k1_struct_0, d2_waybel22, reflexivity_r1_tarski, rc10_waybel_0, cc10_waybel_0, cc5_yellow_0, fc10_waybel_0, fc11_waybel_8, fc4_waybel_8, cc1_waybel_8, cc1_yellow_0, t8_boole, rc1_xboole_0, rc5_struct_0, t2_subset, dt_k5_waybel_0, rc1_yellow_0, cc2_lattice3, existence_l1_struct_0, rc12_waybel_0, rc1_setfam_1, fc12_waybel_0, t10_waybel22, rc2_xboole_0, fraenkel_a_1_1_waybel_0, cc1_yellow_7, cc3_yellow_0, fc5_waybel_8, antisymmetry_r2_hidden
% 9.90/2.98 % No. of inferences in proof: 226
% 9.90/2.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2601 ms resp. 2145 ms w/o parsing
% 10.08/3.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.08/3.09 % [INFO] Killing All external provers ...
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