TSTP Solution File: LAT356+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 11:28:04 EDT 2023
% Result : Theorem 8.59s 2.96s
% Output : Refutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 135
% Syntax : Number of formulae : 221 ( 11 unt; 51 typ; 0 def)
% Number of atoms : 1450 ( 18 equ; 0 cnn)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 4521 ( 172 ~; 2 |;1046 &;3069 @)
% ( 3 <=>; 229 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 51 usr; 2 con; 0-4 aty)
% Number of variables : 327 ( 0 ^; 277 !; 50 ?; 327 :)
% 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(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(k1_waybel34_type,type,
k1_waybel34: $i > $i > $i > $i ).
thf(k7_grcat_1_type,type,
k7_grcat_1: $i > $i ).
thf(k2_waybel34_type,type,
k2_waybel34: $i > $i > $i > $i ).
thf(v1_finset_1_type,type,
v1_finset_1: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
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(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $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(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(v6_waybel_1_type,type,
v6_waybel_1: $i > $i > $o ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(v11_quantal1_type,type,
v11_quantal1: $i > $o ).
thf(v5_orders_3_type,type,
v5_orders_3: $i > $i > $i > $o ).
thf(v18_waybel_0_type,type,
v18_waybel_0: $i > $i > $i > $o ).
thf(v20_waybel_0_type,type,
v20_waybel_0: $i > $i > $i > $o ).
thf(v22_waybel_0_type,type,
v22_waybel_0: $i > $i > $i > $o ).
thf(v19_waybel_0_type,type,
v19_waybel_0: $i > $i > $i > $o ).
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(v17_waybel_0_type,type,
v17_waybel_0: $i > $i > $i > $o ).
thf(v21_waybel_0_type,type,
v21_waybel_0: $i > $i > $i > $o ).
thf(v23_waybel_0_type,type,
v23_waybel_0: $i > $i > $i > $o ).
thf(v7_waybel_1_type,type,
v7_waybel_1: $i > $i > $o ).
thf(v8_waybel_1_type,type,
v8_waybel_1: $i > $i > $o ).
thf(v5_waybel_1_type,type,
v5_waybel_1: $i > $i > $i > $o ).
thf(v3_waybel_1_type,type,
v3_waybel_1: $i > $i > $i > $o ).
thf(k1_waybel_1_type,type,
k1_waybel_1: $i > $i > $i > $i > $i ).
thf(v4_waybel_1_type,type,
v4_waybel_1: $i > $i > $i > $o ).
thf(m1_waybel_1_type,type,
m1_waybel_1: $i > $i > $i > $o ).
thf(k4_tarski_type,type,
k4_tarski: $i > $i > $i ).
thf(80,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_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 ) )
& ( v5_waybel_1 @ C @ B @ A ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v18_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_waybel_1) ).
thf(481,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_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 ) )
& ( v5_waybel_1 @ C @ B @ A ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v18_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(85,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_yellow_0 @ 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_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v18_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_yellow_9) ).
thf(511,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_yellow_0 @ 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_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v18_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(57,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/sandbox/benchmark/theBenchmark.p',cc11_waybel_0) ).
thf(324,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)],[57]) ).
thf(30,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(169,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(83,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v23_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v2_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_waybel_0) ).
thf(503,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v23_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v2_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(41,axiom,
? [A: $i] : ( l1_orders_2 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(223,plain,
? [A: $i] : ( l1_orders_2 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(51,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A )
& ( v7_waybel_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel_1) ).
thf(282,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A )
& ( v7_waybel_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(16,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(127,plain,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(21,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(143,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)],[21]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v2_yellow_0 @ 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_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_yellow_9) ).
thf(373,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v2_yellow_0 @ 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_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(79,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A )
& ( v8_waybel_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_waybel_1) ).
thf(472,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A )
& ( v8_waybel_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(24,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(153,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(35,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(185,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(53,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_1) ).
thf(301,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(69,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel_1) ).
thf(389,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(10,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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(110,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)],[10]) ).
thf(33,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(179,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(8,axiom,
! [A: $i] :
( ( v1_finset_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
thf(106,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)],[8]) ).
thf(45,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/sandbox/benchmark/theBenchmark.p',cc9_waybel_0) ).
thf(238,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)],[45]) ).
thf(62,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/sandbox/benchmark/theBenchmark.p',cc3_yellow_0) ).
thf(348,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)],[62]) ).
thf(78,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ( v2_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ B )
& ( v5_orders_3 @ B @ A @ A )
& ( v17_waybel_0 @ B @ A @ A )
& ( v18_waybel_0 @ B @ A @ A )
& ( v19_waybel_0 @ B @ A @ A )
& ( v20_waybel_0 @ B @ A @ A )
& ( v21_waybel_0 @ B @ A @ A )
& ( v22_waybel_0 @ B @ A @ A )
& ( v6_waybel_1 @ B @ A )
& ( v7_waybel_1 @ B @ A )
& ( v8_waybel_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel10) ).
thf(453,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ( v2_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ B )
& ( v5_orders_3 @ B @ A @ A )
& ( v17_waybel_0 @ B @ A @ A )
& ( v18_waybel_0 @ B @ A @ A )
& ( v19_waybel_0 @ B @ A @ A )
& ( v20_waybel_0 @ B @ A @ A )
& ( v21_waybel_0 @ B @ A @ A )
& ( v22_waybel_0 @ B @ A @ A )
& ( v6_waybel_1 @ B @ A )
& ( v7_waybel_1 @ B @ A )
& ( v8_waybel_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(18,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/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(133,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)],[18]) ).
thf(74,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/sandbox/benchmark/theBenchmark.p',cc10_waybel_0) ).
thf(428,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)],[74]) ).
thf(12,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(116,plain,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(46,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/sandbox/benchmark/theBenchmark.p',rc1_waybel10) ).
thf(243,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)],[46]) ).
thf(54,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
thf(307,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(76,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ 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 )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v17_waybel_0 @ C @ A @ B ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( D
= ( k1_waybel34 @ A @ B @ C ) )
<=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
thf(439,plain,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ 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 )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v17_waybel_0 @ C @ A @ B ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( ( D
= ( k1_waybel34 @ A @ B @ C ) )
=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B ) )
& ( ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B )
=> ( D
= ( k1_waybel34 @ A @ B @ C ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(6,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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(102,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)],[6]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_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 ) )
& ( v4_waybel_1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_1) ).
thf(334,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_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 ) )
& ( v4_waybel_1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(27,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(160,plain,
? [A: $i] : ( l1_struct_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(49,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) )
=> ( v3_yellow_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_yellow_0) ).
thf(275,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)],[49]) ).
thf(29,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/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
thf(165,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)],[29]) ).
thf(81,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/sandbox/benchmark/theBenchmark.p',rc2_yellow_0) ).
thf(489,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)],[81]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B ) )
=> ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).
thf(96,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)],[3]) ).
thf(58,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
thf(328,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(48,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ ( k7_grcat_1 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v17_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v18_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v19_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v20_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v21_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v22_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v8_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel10) ).
thf(256,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ ( k7_grcat_1 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v17_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v18_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v19_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v20_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v21_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v22_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v8_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(15,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/sandbox/benchmark/theBenchmark.p',t5_subset) ).
thf(124,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)],[15]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v17_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_waybel_0) ).
thf(225,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v17_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v19_waybel_0 @ C @ A @ B )
& ( v21_waybel_0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(65,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( m1_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel_1) ).
thf(360,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( m1_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(84,axiom,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] :
( ( m1_waybel_1 @ C @ A @ B )
& ( v3_waybel_1 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel34) ).
thf(508,plain,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] :
( ( m1_waybel_1 @ C @ A @ B )
& ( v3_waybel_1 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_waybel_1 @ A @ B @ C @ D )
= ( k4_tarski @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_1) ).
thf(412,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m1_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_waybel_1 @ A @ B @ C @ D )
= ( k4_tarski @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(148,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)],[23]) ).
thf(32,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(176,plain,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(52,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel_1) ).
thf(291,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(13,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/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
thf(118,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)],[13]) ).
thf(77,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_waybel_1) ).
thf(445,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ? [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_relat_1 @ B )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(56,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 )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_relat_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ~ ( v1_xboole_0 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v18_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v20_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v22_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v5_waybel_1 @ ( k1_waybel34 @ A @ B @ C ) @ A @ B )
& ( v5_orders_3 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel34) ).
thf(313,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 )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_relat_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ~ ( v1_xboole_0 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v18_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v20_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v22_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A )
& ( v5_waybel_1 @ ( k1_waybel34 @ A @ B @ C ) @ A @ B )
& ( v5_orders_3 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(34,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/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).
thf(181,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)],[34]) ).
thf(1,conjecture,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( ( k1_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) )
& ( ( k2_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel34) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( ( k1_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) )
& ( ( k2_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(86,plain,
~ ! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( ( k1_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) )
& ( ( k2_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ B )
& ( v5_orders_3 @ B @ A @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel10) ).
thf(187,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ B )
& ( v5_orders_3 @ B @ A @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(31,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
thf(172,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(43,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel_1) ).
thf(230,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(66,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/sandbox/benchmark/theBenchmark.p',cc12_waybel_0) ).
thf(362,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)],[66]) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',cc1_setfam_1) ).
thf(98,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)],[4]) ).
thf(20,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(140,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(25,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(155,plain,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v18_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_waybel_0) ).
thf(198,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ 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 ) )
& ( v18_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v20_waybel_0 @ C @ A @ B )
& ( v22_waybel_0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(73,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
thf(426,plain,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(28,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_setfam_1) ).
thf(162,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,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/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
thf(112,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)],[11]) ).
thf(61,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/sandbox/benchmark/theBenchmark.p',cc1_waybel17) ).
thf(342,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)],[61]) ).
thf(64,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/sandbox/benchmark/theBenchmark.p',cc13_waybel_0) ).
thf(355,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)],[64]) ).
thf(37,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 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
thf(194,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 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(22,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(145,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(47,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/sandbox/benchmark/theBenchmark.p',cc14_waybel_0) ).
thf(250,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)],[47]) ).
thf(39,axiom,
! [A: $i,B: $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 ) )
=> ? [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 ) )
& ( v19_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice5) ).
thf(203,plain,
! [A: $i,B: $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 ) )
=> ? [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 ) )
& ( v19_waybel_0 @ C @ A @ B )
& ( v20_waybel_0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(26,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(158,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(63,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/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
thf(351,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)],[63]) ).
thf(44,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v3_yellow_0 @ A )
=> ( ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_yellow_0) ).
thf(235,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)],[44]) ).
thf(75,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ 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 )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v18_waybel_0 @ C @ B @ A ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( D
= ( k2_waybel34 @ A @ B @ C ) )
<=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ D @ C ) @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
thf(433,plain,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ 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 )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v18_waybel_0 @ C @ B @ A ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( ( D
= ( k2_waybel34 @ A @ B @ C ) )
=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ D @ C ) @ A @ B ) )
& ( ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ D @ C ) @ A @ B )
=> ( D
= ( k2_waybel34 @ A @ B @ C ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(68,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v8_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_waybel_1) ).
thf(383,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v8_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(40,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/sandbox/benchmark/theBenchmark.p',cc1_yellow_2) ).
thf(210,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)],[40]) ).
thf(19,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
thf(136,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(70,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v8_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel_1) ).
thf(400,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v8_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(72,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 )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v18_waybel_0 @ C @ B @ A )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_relat_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ~ ( v1_xboole_0 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v19_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v21_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v4_waybel_1 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v5_orders_3 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel34) ).
thf(415,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 )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v18_waybel_0 @ C @ B @ A )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_relat_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_1 @ ( k2_waybel34 @ A @ B @ C ) )
& ~ ( v1_xboole_0 @ ( k2_waybel34 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_partfun1 @ ( k2_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v19_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v21_waybel_0 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v4_waybel_1 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B )
& ( v5_orders_3 @ ( k2_waybel34 @ A @ B @ C ) @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(59,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ A @ ( k7_grcat_1 @ A ) @ ( k7_grcat_1 @ A ) ) @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
thf(332,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ A @ ( k7_grcat_1 @ A ) @ ( k7_grcat_1 @ A ) ) @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(17,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(131,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(50,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel10) ).
thf(277,plain,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(82,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] : ( m1_waybel_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_waybel_1) ).
thf(501,plain,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ? [C: $i] : ( m1_waybel_1 @ C @ A @ B ) ),
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/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(122,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(55,axiom,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v2_lattice3 @ 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 ) )
& ( v19_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel21) ).
thf(309,plain,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v2_lattice3 @ 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 ) )
& ( v19_waybel_0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v5_orders_3 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(5,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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(100,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)],[5]) ).
thf(532,plain,
$false,
inference(cvc4,[status(thm)],[481,511,324,169,503,223,282,127,143,373,472,153,185,301,389,110,179,106,238,348,453,133,428,116,243,307,439,102,334,160,275,165,489,96,328,256,124,225,360,508,412,148,176,291,118,445,313,181,86,187,172,230,362,98,140,155,198,108,426,162,112,342,355,194,145,250,203,104,158,351,235,433,383,210,136,400,415,332,131,277,501,122,309,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n001.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 15:04:05 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.03/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.88/1.20 % [INFO] Parsing done (216ms).
% 1.88/1.21 % [INFO] Running in sequential loop mode.
% 2.37/1.43 % [INFO] eprover registered as external prover.
% 2.37/1.44 % [INFO] cvc4 registered as external prover.
% 2.37/1.44 % [INFO] Scanning for conjecture ...
% 2.70/1.53 % [INFO] Found a conjecture and 129 axioms. Running axiom selection ...
% 2.70/1.61 % [INFO] Axiom selection finished. Selected 83 axioms (removed 46 axioms).
% 3.37/1.73 % [INFO] Problem is first-order (TPTP FOF).
% 3.37/1.74 % [INFO] Type checking passed.
% 3.37/1.74 % [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 ...
% 8.59/2.95 % External prover 'cvc4' found a proof!
% 8.59/2.95 % [INFO] Killing All external provers ...
% 8.59/2.95 % Time passed: 2417ms (effective reasoning time: 1742ms)
% 8.59/2.95 % 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)>
% 8.59/2.96 % Axioms used in derivation (83): rc2_yellow_0, rc1_funct_1, cc3_waybel_1, t6_boole, cc4_yellow_0, dt_l1_orders_2, fc1_struct_0, redefinition_m2_relset_1, dt_k7_grcat_1, cc1_waybel17, rc4_yellow_9, cc2_finset_1, cc1_waybel21, fc3_waybel_1, fc4_waybel10, dt_k1_waybel34, cc7_waybel_0, fc3_waybel10, rc4_finset_1, cc1_setfam_1, existence_m1_waybel_1, d2_waybel34, t1_subset, rc2_waybel10, fc5_waybel_1, rc1_waybel10, fc4_waybel_1, rc3_waybel_1, cc12_waybel_0, rc3_funct_1, cc1_lattice3, dt_m2_relset_1, cc11_waybel_0, cc14_waybel_0, fc2_waybel34, t5_subset, cc9_waybel_0, existence_m1_relset_1, t4_subset, cc2_waybel_1, t7_boole, existence_l1_orders_2, cc1_funct_1, rc3_struct_0, fc1_waybel34, cc13_waybel_0, rc2_funct_1, cc1_yellow_2, rc3_yellow_9, cc1_waybel10, cc2_funct_1, cc1_relset_1, existence_m1_subset_1, d1_waybel34, rc1_waybel_1, existence_m2_relset_1, fc2_waybel_1, rc2_waybel_1, cc10_waybel_0, cc5_yellow_0, rc3_finset_1, cc6_waybel_0, rc1_finset_1, redefinition_k1_waybel_1, cc1_finset_1, cc4_waybel_1, cc1_yellow_0, t8_boole, rc1_waybel34, rc5_struct_0, t2_subset, cc8_waybel_0, cc2_lattice3, t6_waybel34, existence_l1_struct_0, dt_k1_waybel_1, rc1_setfam_1, rc1_lattice5, dt_k2_waybel34, fc14_finset_1, cc3_yellow_0, cc1_waybel_1, antisymmetry_r2_hidden
% 8.59/2.96 % No. of inferences in proof: 170
% 8.59/2.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2417 ms resp. 1742 ms w/o parsing
% 8.87/3.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.87/3.04 % [INFO] Killing All external provers ...
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