TSTP Solution File: LAT361+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 11:28:06 EDT 2023
% Result : Theorem 8.25s 2.83s
% Output : Refutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 160
% Syntax : Number of formulae : 262 ( 17 unt; 60 typ; 0 def)
% Number of atoms : 1246 ( 32 equ; 0 cnn)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 4186 ( 203 ~; 2 |; 812 &;2939 @)
% ( 1 <=>; 229 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 115 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 60 usr; 2 con; 0-6 aty)
% Number of variables : 475 ( 0 ^; 413 !; 62 ?; 475 :)
% Comments :
%------------------------------------------------------------------------------
thf(v2_setfam_1_type,type,
v2_setfam_1: $i > $o ).
thf(k13_functor0_type,type,
k13_functor0: $i > $i > $i > $i > $i > $i ).
thf(k5_waybel34_type,type,
k5_waybel34: $i > $i ).
thf(k4_waybel34_type,type,
k4_waybel34: $i > $i ).
thf(k7_waybel34_type,type,
k7_waybel34: $i > $i ).
thf(k6_waybel34_type,type,
k6_waybel34: $i > $i ).
thf(k12_functor0_type,type,
k12_functor0: $i > $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(m1_functor0_type,type,
m1_functor0: $i > $i > $i > $i > $i > $i > $o ).
thf(v1_funcop_1_type,type,
v1_funcop_1: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(l1_functor0_type,type,
l1_functor0: $i > $i > $i > $o ).
thf(u1_functor0_type,type,
u1_functor0: $i > $i > $i > $i ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
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(v1_finset_1_type,type,
v1_finset_1: $i > $o ).
thf(l1_altcat_1_type,type,
l1_altcat_1: $i > $o ).
thf(u1_altcat_1_type,type,
u1_altcat_1: $i > $i ).
thf(v9_functor0_type,type,
v9_functor0: $i > $i > $i > $o ).
thf(g2_functor0_type,type,
g2_functor0: $i > $i > $i > $i > $i ).
thf(l2_functor0_type,type,
l2_functor0: $i > $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v2_altcat_1_type,type,
v2_altcat_1: $i > $o ).
thf(v12_altcat_1_type,type,
v12_altcat_1: $i > $o ).
thf(l2_altcat_1_type,type,
l2_altcat_1: $i > $o ).
thf(v8_functor0_type,type,
v8_functor0: $i > $i > $i > $o ).
thf(k11_functor0_type,type,
k11_functor0: $i > $i ).
thf(v10_functor0_type,type,
v10_functor0: $i > $i > $i > $o ).
thf(v12_functor0_type,type,
v12_functor0: $i > $i > $i > $o ).
thf(v13_functor0_type,type,
v13_functor0: $i > $i > $i > $o ).
thf(m2_functor0_type,type,
m2_functor0: $i > $i > $i > $o ).
thf(v16_functor0_type,type,
v16_functor0: $i > $i > $i > $o ).
thf(v6_functor0_type,type,
v6_functor0: $i > $i > $i > $o ).
thf(v11_functor0_type,type,
v11_functor0: $i > $i > $i > $o ).
thf(v14_functor0_type,type,
v14_functor0: $i > $i > $i > $o ).
thf(u2_functor0_type,type,
u2_functor0: $i > $i > $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v15_functor0_type,type,
v15_functor0: $i > $i > $i > $o ).
thf(v6_altcat_1_type,type,
v6_altcat_1: $i > $o ).
thf(v9_altcat_1_type,type,
v9_altcat_1: $i > $o ).
thf(v11_altcat_1_type,type,
v11_altcat_1: $i > $o ).
thf(v1_altcat_2_type,type,
v1_altcat_2: $i > $o ).
thf(v2_yellow18_type,type,
v2_yellow18: $i > $o ).
thf(v3_yellow18_type,type,
v3_yellow18: $i > $o ).
thf(v4_yellow18_type,type,
v4_yellow18: $i > $o ).
thf(v1_yellow21_type,type,
v1_yellow21: $i > $o ).
thf(v2_yellow21_type,type,
v2_yellow21: $i > $o ).
thf(v3_yellow21_type,type,
v3_yellow21: $i > $o ).
thf(k15_functor0_type,type,
k15_functor0: $i > $i > $i > $i ).
thf(v21_functor0_type,type,
v21_functor0: $i > $i > $i > $o ).
thf(18,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(144,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)],[18]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ! [C: $i] :
( ( l2_functor0 @ C @ A @ B )
=> ( l1_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_functor0) ).
thf(175,plain,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ! [C: $i] :
( ( l2_functor0 @ C @ A @ B )
=> ( l1_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( l2_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_functor0) ).
thf(479,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( l2_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] : ( m2_functor0 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_functor0) ).
thf(249,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] : ( m2_functor0 @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(76,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_functor0) ).
thf(352,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(79,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(365,plain,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(138,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,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(115,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(35,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(202,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(8,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(120,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( l1_altcat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
thf(247,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( l1_altcat_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v11_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v10_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v11_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc17_functor0) ).
thf(384,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v11_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v10_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v11_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(17,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(142,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)],[17]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) )
=> ( ( v9_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B )
& ( l2_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g2_functor0) ).
thf(153,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) )
=> ( ( v9_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B )
& ( l2_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v16_functor0 @ C @ A @ B )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v14_functor0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_functor2) ).
thf(185,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v16_functor0 @ C @ A @ B )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v14_functor0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(69,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_functor0) ).
thf(320,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(94,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k4_waybel34 @ A ) )
& ( v2_yellow18 @ ( k4_waybel34 @ A ) )
& ( v3_yellow18 @ ( k4_waybel34 @ A ) )
& ( v4_yellow18 @ ( k4_waybel34 @ A ) )
& ( v1_yellow21 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
thf(436,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k4_waybel34 @ A ) )
& ( v2_yellow18 @ ( k4_waybel34 @ A ) )
& ( v3_yellow18 @ ( k4_waybel34 @ A ) )
& ( v4_yellow18 @ ( k4_waybel34 @ A ) )
& ( v1_yellow21 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(81,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( ( v8_functor0 @ C @ A @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v21_functor0 @ C @ A @ B )
=> ! [D: $i] :
( ( ( v8_functor0 @ D @ B @ A )
& ( l2_functor0 @ D @ B @ A ) )
=> ( ( ( g2_functor0 @ B @ A @ ( u1_functor0 @ B @ A @ D ) @ ( u2_functor0 @ B @ A @ D ) )
= ( k15_functor0 @ A @ B @ C ) )
=> ( ( k13_functor0 @ B @ A @ B @ D @ C )
= ( k12_functor0 @ B ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_functor1) ).
thf(372,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( v1_altcat_2 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( ( v8_functor0 @ C @ A @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v21_functor0 @ C @ A @ B )
=> ! [D: $i] :
( ( ( v8_functor0 @ D @ B @ A )
& ( l2_functor0 @ D @ B @ A ) )
=> ( ( ( g2_functor0 @ B @ A @ ( u1_functor0 @ B @ A @ D ) @ ( u2_functor0 @ B @ A @ D ) )
= ( k15_functor0 @ A @ B @ C ) )
=> ( ( k13_functor0 @ B @ A @ B @ D @ C )
= ( k12_functor0 @ B ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(5,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(110,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)],[5]) ).
thf(70,axiom,
? [A: $i] : ( l1_altcat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_altcat_1) ).
thf(325,plain,
? [A: $i] : ( l1_altcat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_struct_0 @ B ) )
=> ! [C: $i] :
( ( l1_functor0 @ C @ A @ B )
=> ( ( v10_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_functor0) ).
thf(289,plain,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_struct_0 @ B ) )
=> ! [C: $i] :
( ( l1_functor0 @ C @ A @ B )
=> ( ( v10_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_functor0) ).
thf(211,plain,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ! [F: $i] :
( ( m1_functor0 @ F @ A @ B @ C @ D @ E )
=> ( v1_funcop_1 @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_functor0) ).
thf(106,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ! [F: $i] :
( ( m1_functor0 @ F @ A @ B @ C @ D @ E )
=> ( v1_funcop_1 @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v16_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_functor0) ).
thf(293,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v16_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(92,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) )
& ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
thf(428,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) )
& ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(66,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(312,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)],[66]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( m1_functor0 @ ( u2_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( u1_functor0 @ A @ B @ C ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_functor0) ).
thf(307,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( m1_functor0 @ ( u2_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( u1_functor0 @ A @ B @ C ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pboole) ).
thf(117,plain,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(84,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_setfam_1) ).
thf(381,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(1,conjecture,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k13_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k12_functor0 @ ( k5_waybel34 @ A ) ) )
& ( ( k13_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k12_functor0 @ ( k4_waybel34 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_waybel34) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k13_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k12_functor0 @ ( k5_waybel34 @ A ) ) )
& ( ( k13_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k12_functor0 @ ( k4_waybel34 @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(102,plain,
~ ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k13_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k12_functor0 @ ( k5_waybel34 @ A ) ) )
& ( ( k13_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k12_functor0 @ ( k4_waybel34 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(73,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(334,plain,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(91,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( v9_functor0 @ ( k12_functor0 @ A ) @ A @ A )
& ( v15_functor0 @ ( k12_functor0 @ A ) @ A @ A )
& ( m2_functor0 @ ( k12_functor0 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_functor0) ).
thf(424,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( v9_functor0 @ ( k12_functor0 @ A ) @ A @ A )
& ( v15_functor0 @ ( k12_functor0 @ A ) @ A @ A )
& ( m2_functor0 @ ( k12_functor0 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(55,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(275,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)],[55]) ).
thf(99,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).
thf(467,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(41,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(229,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)],[41]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v9_functor0 @ C @ A @ B )
=> ( C
= ( g2_functor0 @ A @ B @ ( u1_functor0 @ A @ B @ C ) @ ( u2_functor0 @ A @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
thf(317,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v9_functor0 @ C @ A @ B )
=> ( C
= ( g2_functor0 @ A @ B @ ( u1_functor0 @ A @ B @ C ) @ ( u2_functor0 @ A @ B @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(23,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(156,plain,
? [A: $i] : ( l1_struct_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(77,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v21_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_functor0) ).
thf(356,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v21_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(90,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel34) ).
thf(420,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(52,axiom,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v6_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A )
& ( v2_yellow21 @ A )
& ( v3_yellow21 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_yellow21) ).
thf(256,plain,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v6_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A )
& ( v2_yellow21 @ A )
& ( v3_yellow21 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(9,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(124,plain,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(100,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v12_altcat_1 @ C )
& ( l2_altcat_1 @ C )
& ( v6_functor0 @ D @ A @ B )
& ( v8_functor0 @ D @ A @ B )
& ( v12_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v12_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v12_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc21_functor0) ).
thf(476,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v12_altcat_1 @ C )
& ( l2_altcat_1 @ C )
& ( v6_functor0 @ D @ A @ B )
& ( v8_functor0 @ D @ A @ B )
& ( v12_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v12_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v12_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(13,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(134,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)],[13]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v15_functor0 @ C @ A @ B )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v13_functor0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor2) ).
thf(205,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v15_functor0 @ C @ A @ B )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v10_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v13_functor0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(88,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
thf(398,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ! [F: $i] :
( ( m1_functor0 @ F @ A @ B @ C @ D @ E )
=> ( m1_pboole @ F @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_functor0) ).
thf(128,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ! [F: $i] :
( ( m1_functor0 @ F @ A @ B @ C @ D @ E )
=> ( m1_pboole @ F @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(44,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(237,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)],[44]) ).
thf(56,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow21 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow21) ).
thf(279,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v3_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow21 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ( l1_struct_0 @ B ) )
=> ? [C: $i] : ( l1_functor0 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_functor0) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ( l1_struct_0 @ B ) )
=> ? [C: $i] : ( l1_functor0 @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v10_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v10_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v10_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc16_functor0) ).
thf(375,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v10_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v10_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v10_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v1_relat_1 @ ( u2_functor0 @ A @ B @ C ) )
& ( v1_funct_1 @ ( u2_functor0 @ A @ B @ C ) )
& ( v1_funcop_1 @ ( u2_functor0 @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_functor0) ).
thf(191,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v1_relat_1 @ ( u2_functor0 @ A @ B @ C ) )
& ( v1_funct_1 @ ( u2_functor0 @ A @ B @ C ) )
& ( v1_funcop_1 @ ( u2_functor0 @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v9_functor0 @ ( k15_functor0 @ A @ B @ C ) @ B @ A )
& ( l2_functor0 @ ( k15_functor0 @ A @ B @ C ) @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_functor0) ).
thf(286,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_altcat_1 @ B )
& ( l2_functor0 @ C @ A @ B ) )
=> ( ( v9_functor0 @ ( k15_functor0 @ A @ B @ C ) @ B @ A )
& ( l2_functor0 @ ( k15_functor0 @ A @ B @ C ) @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( l2_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_functor0) ).
thf(291,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( l2_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(89,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
thf(406,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(47,axiom,
? [A: $i] : ( l2_altcat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_altcat_1) ).
thf(245,plain,
? [A: $i] : ( l2_altcat_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_struct_0 @ B ) )
=> ! [C: $i] :
( ( l1_functor0 @ C @ A @ B )
=> ( ( v11_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_functor0) ).
thf(271,plain,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_struct_0 @ B ) )
=> ! [C: $i] :
( ( l1_functor0 @ C @ A @ B )
=> ( ( v11_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(86,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
thf(387,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(16,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(140,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)],[16]) ).
thf(33,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(198,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)],[33]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ? [F: $i] : ( m1_functor0 @ F @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_functor0) ).
thf(108,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_pboole @ D @ A )
& ( m1_pboole @ E @ B ) )
=> ? [F: $i] : ( m1_functor0 @ F @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(97,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
thf(462,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] : ( l2_functor0 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_functor0) ).
thf(240,plain,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] : ( l2_functor0 @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_functor0) ).
thf(251,plain,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v11_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( l1_struct_0 @ A )
& ( l1_struct_0 @ B )
& ( l1_functor0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ ( u1_functor0 @ A @ B @ C ) )
& ( v1_funct_2 @ ( u1_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m2_relset_1 @ ( u1_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_functor0) ).
thf(130,plain,
! [A: $i,B: $i,C: $i] :
( ( ( l1_struct_0 @ A )
& ( l1_struct_0 @ B )
& ( l1_functor0 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ ( u1_functor0 @ A @ B @ C ) )
& ( v1_funct_2 @ ( u1_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m2_relset_1 @ ( u1_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_functor0) ).
thf(223,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(25,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(167,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)],[25]) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( ( v11_functor0 @ C @ A @ B )
& ( v14_functor0 @ C @ A @ B ) )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v16_functor0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_functor2) ).
thf(295,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( ( v11_functor0 @ C @ A @ B )
& ( v14_functor0 @ C @ A @ B ) )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v16_functor0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(71,axiom,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_functor0) ).
thf(327,plain,
? [A: $i] :
( ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(28,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( v8_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v10_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v12_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v13_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_functor0) ).
thf(177,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( v8_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v10_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v12_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v13_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(72,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(331,plain,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] :
( ( m2_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B )
& ( v15_functor0 @ C @ A @ B )
& ( v16_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc10_functor0) ).
thf(359,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ? [C: $i] :
( ( m2_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B )
& ( v15_functor0 @ C @ A @ B )
& ( v16_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(42,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(231,plain,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(95,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).
thf(450,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( ( v10_functor0 @ C @ A @ B )
& ( v13_functor0 @ C @ A @ B ) )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v15_functor0 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_functor2) ).
thf(218,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( ( v10_functor0 @ C @ A @ B )
& ( v13_functor0 @ C @ A @ B ) )
=> ( ( v6_functor0 @ C @ A @ B )
& ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B )
& ( v15_functor0 @ C @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(80,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
thf(368,plain,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(63,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor0) ).
thf(304,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v12_altcat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v1_altcat_2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( g2_functor0 @ A @ B @ C @ D )
= ( g2_functor0 @ E @ F @ G @ H ) )
=> ( ( A = E )
& ( B = F )
& ( C = G )
& ( D = H ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g2_functor0) ).
thf(158,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) )
& ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( g2_functor0 @ A @ B @ C @ D )
= ( g2_functor0 @ E @ F @ G @ H ) )
=> ( ( A = E )
& ( B = F )
& ( C = G )
& ( D = H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(26,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(171,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v8_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v8_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc20_functor0) ).
thf(378,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v8_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v8_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(43,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(235,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(93,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v10_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v11_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v11_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc18_functor0) ).
thf(433,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v10_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v11_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v11_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(38,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(214,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)],[38]) ).
thf(21,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
thf(151,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(62,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A ) )
=> ? [B: $i] :
( ( l2_functor0 @ B @ A @ A )
& ( v8_functor0 @ B @ A @ A )
& ( v10_functor0 @ B @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc11_functor0) ).
thf(300,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A ) )
=> ? [B: $i] :
( ( l2_functor0 @ B @ A @ A )
& ( v8_functor0 @ B @ A @ A )
& ( v10_functor0 @ B @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(67,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(315,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(19,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(146,plain,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(29,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(183,plain,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v15_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_functor0) ).
thf(273,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v15_functor0 @ C @ A @ B )
=> ( v6_functor0 @ C @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(46,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( l2_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_functor0) ).
thf(242,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( l2_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(75,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_yellow21) ).
thf(341,plain,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v2_yellow21 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v9_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( v1_altcat_2 @ A )
& ( v2_yellow18 @ A )
& ( v3_yellow18 @ A )
& ( v4_yellow18 @ A )
& ( v1_yellow21 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_functor0) ).
thf(195,plain,
! [A: $i,B: $i] :
( ( ( l1_altcat_1 @ A )
& ( l1_altcat_1 @ B ) )
=> ? [C: $i] :
( ( l2_functor0 @ C @ A @ B )
& ( v9_functor0 @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(10,axiom,
! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pboole) ).
thf(126,plain,
! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(14,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(136,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)],[14]) ).
thf(87,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( k12_functor0 @ A )
= ( k11_functor0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k12_functor0) ).
thf(395,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ( ( k12_functor0 @ A )
= ( k11_functor0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(98,axiom,
? [A: $i] :
~ ( v2_setfam_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_setfam_1) ).
thf(464,plain,
? [A: $i] :
~ ( v2_setfam_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(96,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v11_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v11_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v10_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc19_functor0) ).
thf(459,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_altcat_2 @ B )
& ( l1_altcat_1 @ B )
& ~ ( v3_struct_0 @ C )
& ( v1_altcat_2 @ C )
& ( l1_altcat_1 @ C )
& ( v8_functor0 @ D @ A @ B )
& ( v11_functor0 @ D @ A @ B )
& ( l2_functor0 @ D @ A @ B )
& ( v11_functor0 @ E @ B @ C )
& ( l2_functor0 @ E @ B @ C ) )
=> ( ( v9_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C )
& ( v10_functor0 @ ( k13_functor0 @ A @ B @ C @ D @ E ) @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(34,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
thf(200,plain,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( l1_struct_0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(254,plain,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(74,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A ) )
=> ( ( v8_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v10_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_functor0) ).
thf(337,plain,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_altcat_1 @ A ) )
=> ( ( v8_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v9_functor0 @ ( k11_functor0 @ A ) @ A @ A )
& ( v10_functor0 @ ( k11_functor0 @ A ) @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_functor2) ).
thf(309,plain,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( m2_functor0 @ C @ A @ B )
=> ( ( v8_functor0 @ C @ A @ B )
& ( v12_functor0 @ C @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(513,plain,
$false,
inference(cvc4,[status(thm)],[144,175,479,249,352,365,138,115,202,120,247,384,142,153,185,320,436,372,110,325,289,211,106,293,428,312,307,117,381,102,334,424,275,467,229,317,156,356,420,256,124,476,134,205,398,128,237,279,149,375,191,286,291,406,245,271,387,140,198,108,462,240,251,130,223,167,295,327,177,331,359,231,450,218,368,304,158,171,378,235,433,214,151,300,315,146,183,273,242,341,195,126,136,395,464,459,200,254,337,309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n019.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 14:22:43 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.64/1.06 % [INFO] Parsing done (199ms).
% 1.64/1.07 % [INFO] Running in sequential loop mode.
% 2.25/1.28 % [INFO] eprover registered as external prover.
% 2.25/1.28 % [INFO] cvc4 registered as external prover.
% 2.25/1.28 % [INFO] Scanning for conjecture ...
% 2.47/1.37 % [INFO] Found a conjecture and 136 axioms. Running axiom selection ...
% 2.73/1.45 % [INFO] Axiom selection finished. Selected 99 axioms (removed 37 axioms).
% 3.15/1.57 % [INFO] Problem is first-order (TPTP FOF).
% 3.22/1.58 % [INFO] Type checking passed.
% 3.22/1.58 % [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 ...
% 8.25/2.83 % External prover 'cvc4' found a proof!
% 8.25/2.83 % [INFO] Killing All external provers ...
% 8.25/2.83 % Time passed: 2302ms (effective reasoning time: 1757ms)
% 8.25/2.83 % 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)>
% 8.25/2.83 % Axioms used in derivation (99): cc5_functor0, dt_m2_relset_1, dt_k15_functor0, t5_subset, rc9_functor0, dt_u1_functor0, rc2_setfam_1, redefinition_m2_relset_1, fc21_functor0, rc7_functor0, cc2_finset_1, fc16_functor0, cc4_functor0, dt_k7_waybel34, dt_l1_altcat_1, rc4_finset_1, rc6_functor0, dt_m1_functor0, cc2_yellow21, t1_subset, fc5_waybel34, existence_m2_functor0, free_g2_functor0, rc8_functor0, rc11_functor0, dt_l2_altcat_1, rc3_funct_1, rc1_funct_1, fc13_functor0, dt_k13_functor0, dt_k12_functor0, t6_boole, fc6_waybel34, existence_m1_relset_1, rc3_setfam_1, existence_m1_functor0, cc3_functor0, existence_l2_functor0, existence_l2_altcat_1, fc14_functor0, cc2_functor0, t4_subset, t7_boole, cc1_funct_1, rc3_struct_0, rc10_functor0, rc2_funct_1, cc2_setfam_1, fc19_functor0, fc20_functor0, dt_m1_pboole, t18_waybel34, existence_m1_pboole, cc1_functor2, cc2_funct_1, cc1_yellow21, t21_functor1, cc1_relset_1, existence_m1_subset_1, cc6_functor0, existence_m2_relset_1, existence_l1_altcat_1, fc17_functor0, rc4_functor0, cc1_functor0, rc3_functor0, dt_u2_functor0, dt_k4_waybel34, redefinition_k12_functor0, fc1_struct_0, rc1_yellow21, dt_g2_functor0, dt_k5_waybel34, fc7_functor0, cc3_functor2, fc15_functor0, rc3_finset_1, dt_u1_altcat_1, dt_k6_waybel34, rc1_finset_1, cc4_functor2, cc1_finset_1, fc8_waybel34, t8_boole, dt_m2_functor0, rc5_functor0, rc5_struct_0, dt_k11_functor0, t2_subset, cc5_functor2, existence_l1_struct_0, abstractness_v9_functor0, fc7_waybel34, fc14_finset_1, dt_l2_functor0, cc2_functor2, antisymmetry_r2_hidden, existence_l1_functor0, fc18_functor0
% 8.25/2.83 % No. of inferences in proof: 202
% 8.25/2.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2302 ms resp. 1757 ms w/o parsing
% 8.73/2.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.73/2.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------