%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT361+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:47:30 AM UTC 2026
% Result : Theorem 91.71s 28.03s
% Output : Refutation 89.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 125
% Syntax : Number of formulae : 1427 ( 136 unt; 0 typ; 25 def)
% Number of atoms : 6246 (1020 equ; 0 cnn)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 16260 (2654 ~;2541 |; 920 &;9912 @)
% ( 1 <=>; 232 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 88 ( 85 usr; 15 con; 0-6 aty)
% Number of variables : 1498 ( 24 ^;1380 !; 69 ?;1498 :)
% ( 0 !>; 0 ?*; 0 @-; 25 @+)
% Comments :
%------------------------------------------------------------------------------
thf(v2_setfam_1_decl,type,
v2_setfam_1: $i > $o ).
thf(k13_functor0_decl,type,
k13_functor0: $i > $i > $i > $i > $i > $i ).
thf(k5_waybel34_decl,type,
k5_waybel34: $i > $i ).
thf(k4_waybel34_decl,type,
k4_waybel34: $i > $i ).
thf(k7_waybel34_decl,type,
k7_waybel34: $i > $i ).
thf(k6_waybel34_decl,type,
k6_waybel34: $i > $i ).
thf(k12_functor0_decl,type,
k12_functor0: $i > $i ).
thf(v1_funct_1_decl,type,
v1_funct_1: $i > $o ).
thf(v1_funct_2_decl,type,
v1_funct_2: $i > $i > $i > $o ).
thf(m1_relset_1_decl,type,
m1_relset_1: $i > $i > $i > $o ).
thf(m1_pboole_decl,type,
m1_pboole: $i > $i > $o ).
thf(m1_functor0_decl,type,
m1_functor0: $i > $i > $i > $i > $i > $i > $o ).
thf(v1_funcop_1_decl,type,
v1_funcop_1: $i > $o ).
thf(m2_relset_1_decl,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v1_relat_1_decl,type,
v1_relat_1: $i > $o ).
thf(v2_funct_1_decl,type,
v2_funct_1: $i > $o ).
thf(l1_struct_0_decl,type,
l1_struct_0: $i > $o ).
thf(l1_functor0_decl,type,
l1_functor0: $i > $i > $i > $o ).
thf(u1_functor0_decl,type,
u1_functor0: $i > $i > $i > $i ).
thf(k2_zfmisc_1_decl,type,
k2_zfmisc_1: $i > $i > $i ).
thf(u1_struct_0_decl,type,
u1_struct_0: $i > $i ).
thf(m1_subset_1_decl,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_decl,type,
k1_zfmisc_1: $i > $i ).
thf(r2_hidden_decl,type,
r2_hidden: $i > $i > $o ).
thf(v1_finset_1_decl,type,
v1_finset_1: $i > $o ).
thf(l1_altcat_1_decl,type,
l1_altcat_1: $i > $o ).
thf(u1_altcat_1_decl,type,
u1_altcat_1: $i > $i ).
thf(v9_functor0_decl,type,
v9_functor0: $i > $i > $i > $o ).
thf(g2_functor0_decl,type,
g2_functor0: $i > $i > $i > $i > $i ).
thf(l2_functor0_decl,type,
l2_functor0: $i > $i > $i > $o ).
thf(v1_xboole_0_decl,type,
v1_xboole_0: $i > $o ).
thf(v3_struct_0_decl,type,
v3_struct_0: $i > $o ).
thf(v2_altcat_1_decl,type,
v2_altcat_1: $i > $o ).
thf(v12_altcat_1_decl,type,
v12_altcat_1: $i > $o ).
thf(l2_altcat_1_decl,type,
l2_altcat_1: $i > $o ).
thf(v8_functor0_decl,type,
v8_functor0: $i > $i > $i > $o ).
thf(k11_functor0_decl,type,
k11_functor0: $i > $i ).
thf(v10_functor0_decl,type,
v10_functor0: $i > $i > $i > $o ).
thf(v12_functor0_decl,type,
v12_functor0: $i > $i > $i > $o ).
thf(v13_functor0_decl,type,
v13_functor0: $i > $i > $i > $o ).
thf(m2_functor0_decl,type,
m2_functor0: $i > $i > $i > $o ).
thf(v16_functor0_decl,type,
v16_functor0: $i > $i > $i > $o ).
thf(v6_functor0_decl,type,
v6_functor0: $i > $i > $i > $o ).
thf(v11_functor0_decl,type,
v11_functor0: $i > $i > $i > $o ).
thf(v14_functor0_decl,type,
v14_functor0: $i > $i > $i > $o ).
thf(u2_functor0_decl,type,
u2_functor0: $i > $i > $i > $i ).
thf(k1_xboole_0_decl,type,
k1_xboole_0: $i ).
thf(v15_functor0_decl,type,
v15_functor0: $i > $i > $i > $o ).
thf(v6_altcat_1_decl,type,
v6_altcat_1: $i > $o ).
thf(v9_altcat_1_decl,type,
v9_altcat_1: $i > $o ).
thf(v11_altcat_1_decl,type,
v11_altcat_1: $i > $o ).
thf(v1_altcat_2_decl,type,
v1_altcat_2: $i > $o ).
thf(v2_yellow18_decl,type,
v2_yellow18: $i > $o ).
thf(v3_yellow18_decl,type,
v3_yellow18: $i > $o ).
thf(v4_yellow18_decl,type,
v4_yellow18: $i > $o ).
thf(v1_yellow21_decl,type,
v1_yellow21: $i > $o ).
thf(v2_yellow21_decl,type,
v2_yellow21: $i > $o ).
thf(v3_yellow21_decl,type,
v3_yellow21: $i > $o ).
thf(k15_functor0_decl,type,
k15_functor0: $i > $i > $i > $i ).
thf(v21_functor0_decl,type,
v21_functor0: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i > $i > $i > $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i > $i > $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i > $i > $i ).
thf(sk6_decl,type,
sk6: $i > $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i > $i > $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i > $i ).
thf(sk12_decl,type,
sk12: $i > $i > $i ).
thf(sk13_decl,type,
sk13: $i > $i > $i ).
thf(sk14_decl,type,
sk14: $i > $i ).
thf(sk15_decl,type,
sk15: $i > $i > $i ).
thf(sk16_decl,type,
sk16: $i > $i ).
thf(sk17_decl,type,
sk17: $i > $i > $i ).
thf(sk18_decl,type,
sk18: $i ).
thf(sk21_decl,type,
sk21: $i ).
thf(sk22_decl,type,
sk22: $i > $i ).
thf(sk25_decl,type,
sk25: $i ).
thf(sk26_decl,type,
sk26: $i ).
thf(sk27_decl,type,
sk27: $i ).
thf(sk28_decl,type,
sk28: $i ).
thf(sk32_decl,type,
sk32: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k6_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k4_waybel34 @ k12_functor0 ) )
& ( ( A @ k6_waybel34 @ ( A @ k7_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k5_waybel34 @ k12_functor0 ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( ^ [A: $i,B: $i,C: $i,D: $i,E: $i] :
@+[F: $i] : ( A @ ( B @ ( C @ ( D @ ( E @ ( F @ m1_functor0 ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ m2_relset_1 ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ m1_relset_1 ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] : ( A @ ( B @ m1_pboole ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ l1_functor0 ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] : ( A @ l1_struct_0 ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( ^ [A: $i] :
@+[B: $i] : ( A @ ( B @ m1_subset_1 ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( A @ ( B @ ( C @ v9_functor0 ) ) )
& ( A @ ( B @ ( C @ l2_functor0 ) ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( A @ ( B @ ( C @ v10_functor0 ) ) )
& ( A @ ( B @ ( C @ l2_functor0 ) ) ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: $i,B: $i] :
@+[C: $i] :
( ( A @ ( B @ ( C @ v12_functor0 ) ) )
& ( A @ ( B @ ( C @ v9_functor0 ) ) )
& ( A @ ( B @ ( C @ v8_functor0 ) ) )
& ( A @ ( B @ ( C @ v6_functor0 ) ) )
& ( A @ ( B @ ( C @ l2_functor0 ) ) ) ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i] :
@+[B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ l2_functor0 ) ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: $i] : ( A @ l2_altcat_1 ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( @+[A: $i] :
( ( A @ v3_yellow21 )
& ( A @ v2_yellow21 )
& ( A @ v1_yellow21 )
& ( A @ v4_yellow18 )
& ( A @ v3_yellow18 )
& ( A @ v2_yellow18 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v9_altcat_1 )
& ( A @ v6_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ) ) ) ).
thf(sk22_def,definition,
( sk22
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( @+[A: $i] : ( A @ l1_altcat_1 ) ) ) ).
thf(sk26_def,definition,
( sk26
= ( @+[A: $i] :
( ( A @ v1_altcat_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( @+[A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ) ) ) ).
thf(sk28_def,definition,
( sk28
= ( @+[A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( @+[A: $i] :
~ ( A @ v2_setfam_1 ) ) ) ).
thf(29,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(194,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(195,plain,
! [A: $i] : ( A @ ( A @ sk11 @ m1_subset_1 ) ),
inference(cnf,[status(esa)],[194]) ).
thf(66,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ v1_xboole_0 )
& ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
thf(342,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ v1_xboole_0 )
& ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(343,plain,
~ ? [A: $i,B: $i] :
( ? [C: $i] :
( ( C @ v1_xboole_0 )
& ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
& ( B @ ( A @ r2_hidden ) ) ),
inference(miniscope,[status(thm)],[342]) ).
thf(344,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ v1_xboole_0 )
| ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[343]) ).
thf(642,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( D @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
| ~ ( D @ v1_xboole_0 )
| ~ $true
| ~ ( C @ ( B @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[195,344]) ).
thf(643,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( D @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
| ~ ( D @ v1_xboole_0 )
| ~ ( C @ ( B @ r2_hidden ) ) ),
inference(simp,[status(thm)],[642]) ).
thf(644,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( B @ k1_zfmisc_1 @ sk11 @ ( A @ r2_hidden ) ) ),
inference(pattern_uni,[status(thm)],[643:[bind(A,$thf( F @ k1_zfmisc_1 )),bind(B,$thf( B )),bind(C,$thf( F @ k1_zfmisc_1 @ sk11 )),bind(D,$thf( F ))]]) ).
thf(645,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( B @ k1_zfmisc_1 @ sk11 @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[644]) ).
thf(55,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
thf(298,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(299,plain,
! [A: $i] :
( ( ( A @ sk22 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) )
& ( ~ ( A @ sk22 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k1_zfmisc_1 @ ( A @ sk22 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[298]) ).
thf(302,plain,
! [A: $i] :
( ( A @ sk22 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[299]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(216,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(217,plain,
! [A: $i] :
( ( A = k1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[216]) ).
thf(218,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
| ( A = k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[217]) ).
thf(52,axiom,
? [A: $i] :
( ( A @ v3_yellow21 )
& ( A @ v2_yellow21 )
& ( A @ v1_yellow21 )
& ( A @ v4_yellow18 )
& ( A @ v3_yellow18 )
& ( A @ v2_yellow18 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v9_altcat_1 )
& ( A @ v6_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_yellow21) ).
thf(278,plain,
? [A: $i] :
( ( A @ v3_yellow21 )
& ( A @ v2_yellow21 )
& ( A @ v1_yellow21 )
& ( A @ v4_yellow18 )
& ( A @ v3_yellow18 )
& ( A @ v2_yellow18 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v9_altcat_1 )
& ( A @ v6_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(279,plain,
( ( sk21 @ v3_yellow21 )
& ( sk21 @ v2_yellow21 )
& ( sk21 @ v1_yellow21 )
& ( sk21 @ v4_yellow18 )
& ( sk21 @ v3_yellow18 )
& ( sk21 @ v2_yellow18 )
& ( sk21 @ v1_altcat_2 )
& ( sk21 @ v12_altcat_1 )
& ( sk21 @ v11_altcat_1 )
& ( sk21 @ v9_altcat_1 )
& ( sk21 @ v6_altcat_1 )
& ( sk21 @ v2_altcat_1 )
& ~ ( sk21 @ v3_struct_0 )
& ( sk21 @ l2_altcat_1 ) ),
inference(cnf,[status(esa)],[278]) ).
thf(288,plain,
sk21 @ v1_yellow21,
inference(cnfConj,[status(thm)],[279]) ).
thf(736,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v1_yellow21 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,288]) ).
thf(737,plain,
( ( k1_xboole_0 @ v1_yellow21 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[736:[bind(A,$thf( sk21 ))]]) ).
thf(1320,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,737]) ).
thf(1321,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1320]) ).
thf(1322,plain,
( ( k1_xboole_0 @ v1_yellow21 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1321:[bind(A,$thf( sk21 ))]]) ).
thf(23,axiom,
? [A: $i] : ( A @ l1_struct_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(163,plain,
? [A: $i] : ( A @ l1_struct_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(164,plain,
sk9 @ l1_struct_0,
inference(cnf,[status(esa)],[163]) ).
thf(789,plain,
! [A: $i] :
( ( A != sk9 )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,164]) ).
thf(790,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ~ ( sk9 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[789:[bind(A,$thf( sk9 ))]]) ).
thf(1584,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,790]) ).
thf(1585,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1584]) ).
thf(1586,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk9 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1585:[bind(A,$thf( sk9 ))]]) ).
thf(285,plain,
sk21 @ v3_yellow21,
inference(cnfConj,[status(thm)],[279]) ).
thf(851,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v3_yellow21 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,285]) ).
thf(852,plain,
( ( k1_xboole_0 @ v3_yellow21 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[851:[bind(A,$thf( sk21 ))]]) ).
thf(1877,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,852]) ).
thf(1878,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1877]) ).
thf(1879,plain,
( ( k1_xboole_0 @ v3_yellow21 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1878:[bind(A,$thf( sk21 ))]]) ).
thf(38,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
thf(230,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(231,plain,
! [A: $i] :
( ( ( A @ sk14 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) )
& ( ~ ( A @ sk14 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k1_zfmisc_1 @ ( A @ sk14 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[230]) ).
thf(234,plain,
! [A: $i] :
( ( A @ sk14 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[231]) ).
thf(73,axiom,
? [A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(367,plain,
? [A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(368,plain,
( ( sk28 @ v1_finset_1 )
& ~ ( sk28 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[367]) ).
thf(369,plain,
~ ( sk28 @ v1_xboole_0 ),
inference(cnfConj,[status(thm)],[368]) ).
thf(656,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,369]) ).
thf(657,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ v1_xboole_0 ) )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[656]) ).
thf(658,plain,
sk28 @ sk14 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[657:[bind(A,$thf( sk28 ))]]) ).
thf(927,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,658]) ).
thf(928,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[927:[bind(A,$thf( sk28 @ sk14 ))]]) ).
thf(4003,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,928]) ).
thf(4004,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[4003]) ).
thf(4005,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[4004:[bind(A,$thf( sk28 @ sk14 ))]]) ).
thf(33,axiom,
! [A: $i] :
( ( ( A @ l1_struct_0 )
& ~ ( A @ v3_struct_0 ) )
=> ~ ( A @ u1_struct_0 @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(212,plain,
! [A: $i] :
( ( ( A @ l1_struct_0 )
& ~ ( A @ v3_struct_0 ) )
=> ~ ( A @ u1_struct_0 @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(213,plain,
! [A: $i] :
( ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 )
| ( A @ v3_struct_0 ) ),
inference(cnf,[status(esa)],[212]) ).
thf(71,axiom,
? [A: $i] :
( ( A @ v1_altcat_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_functor0) ).
thf(358,plain,
? [A: $i] :
( ( A @ v1_altcat_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l2_altcat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(359,plain,
( ( sk26 @ v1_altcat_2 )
& ~ ( sk26 @ v3_struct_0 )
& ( sk26 @ l2_altcat_1 ) ),
inference(cnf,[status(esa)],[358]) ).
thf(361,plain,
~ ( sk26 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[359]) ).
thf(7689,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk26 @ v3_struct_0 ) )
| ~ $true
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,361]) ).
thf(7690,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk26 @ v3_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7689]) ).
thf(7691,plain,
( ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7690:[bind(A,$thf( sk26 ))]]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( B @ ( A @ ( C @ v9_functor0 ) ) )
=> ( C
= ( C @ ( B @ ( A @ u2_functor0 ) ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ ( B @ ( A @ g2_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
thf(347,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( B @ ( A @ ( C @ v9_functor0 ) ) )
=> ( C
= ( C @ ( B @ ( A @ u2_functor0 ) ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ ( B @ ( A @ g2_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(7668,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[164,213]) ).
thf(7669,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[7668]) ).
thf(7670,plain,
( ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 )
| ( sk9 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7669:[bind(A,$thf( sk9 ))]]) ).
thf(287,plain,
~ ( sk21 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[279]) ).
thf(1019,plain,
! [A: $i] :
( ( A != sk21 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,287]) ).
thf(1020,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1019:[bind(A,$thf( sk21 ))]]) ).
thf(1363,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1020]) ).
thf(1364,plain,
! [A: $i] :
( ~ ( A @ v3_struct_0 )
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1363:[]]) ).
thf(8112,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ $true
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1364]) ).
thf(8113,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8112]) ).
thf(8114,plain,
( ~ ( sk21 @ v1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8113:[bind(A,$thf( sk9 ))]]) ).
thf(72,axiom,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(363,plain,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(364,plain,
( ~ ( sk27 @ v3_struct_0 )
& ( sk27 @ l1_struct_0 ) ),
inference(cnf,[status(esa)],[363]) ).
thf(365,plain,
sk27 @ l1_struct_0,
inference(cnfConj,[status(thm)],[364]) ).
thf(7648,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[365,213]) ).
thf(7649,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[7648]) ).
thf(7650,plain,
( ~ ( sk27 @ u1_struct_0 @ v1_xboole_0 )
| ( sk27 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7649:[bind(A,$thf( sk27 ))]]) ).
thf(366,plain,
~ ( sk27 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[364]) ).
thf(7737,plain,
( ~ ( sk27 @ u1_struct_0 @ v1_xboole_0 )
| $false ),
inference(rewrite,[status(thm)],[7650,366]) ).
thf(7738,plain,
~ ( sk27 @ u1_struct_0 @ v1_xboole_0 ),
inference(simp,[status(thm)],[7737]) ).
thf(7749,plain,
! [A: $i] :
( ( A != sk27 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7738]) ).
thf(7750,plain,
( ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7749:[bind(A,$thf( sk27 ))]]) ).
thf(8280,plain,
( ~ $true
| ( ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(eqfactor_ordered,[status(thm)],[7750]) ).
thf(8283,plain,
( ( ( k1_xboole_0 @ u1_struct_0 )
!= sk27 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8280]) ).
thf(98,axiom,
? [A: $i] :
~ ( A @ v2_setfam_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_setfam_1) ).
thf(518,plain,
? [A: $i] :
~ ( A @ v2_setfam_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(26,axiom,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
thf(180,plain,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(181,plain,
( ( sk10 @ v1_funct_1 )
& ( sk10 @ v1_xboole_0 )
& ( sk10 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[180]) ).
thf(183,plain,
sk10 @ v1_xboole_0,
inference(cnfConj,[status(thm)],[181]) ).
thf(79,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(404,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(405,plain,
~ ? [A: $i,B: $i] :
( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(miniscope,[status(thm)],[404]) ).
thf(406,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[405]) ).
thf(578,plain,
! [B: $i,A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ $true
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[183,406]) ).
thf(579,plain,
! [B: $i,A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[578]) ).
thf(580,plain,
! [A: $i] :
~ ( sk10 @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[579:[bind(A,$thf( A )),bind(B,$thf( sk10 ))]]) ).
thf(755,plain,
! [A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ~ $true
| ( A = k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[183,218]) ).
thf(756,plain,
! [A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A = k1_xboole_0 ) ),
inference(simp,[status(thm)],[755]) ).
thf(757,plain,
sk10 = k1_xboole_0,
inference(pattern_uni,[status(thm)],[756:[bind(A,$thf( sk10 ))]]) ).
thf(1083,plain,
! [A: $i] :
~ ( k1_xboole_0 @ ( A @ r2_hidden ) ),
inference(rewrite,[status(thm)],[580,757]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l1_functor0 ) ) )
& ( B @ l1_struct_0 )
& ( A @ l1_struct_0 ) )
=> ( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_functor0) ).
thf(134,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l1_functor0 ) ) )
& ( B @ l1_struct_0 )
& ( A @ l1_struct_0 ) )
=> ( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ m2_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) )
& ( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_2 ) ) )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) )
& ( ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_1 )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) ) ),
inference(cnf,[status(esa)],[134]) ).
thf(138,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ m2_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(cnfConj,[status(thm)],[135]) ).
thf(70,axiom,
? [A: $i] : ( A @ l1_altcat_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_altcat_1) ).
thf(356,plain,
? [A: $i] : ( A @ l1_altcat_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(357,plain,
sk25 @ l1_altcat_1,
inference(cnf,[status(esa)],[356]) ).
thf(777,plain,
! [A: $i] :
( ( A != sk25 )
| ( k1_xboole_0 @ l1_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,357]) ).
thf(778,plain,
( ( k1_xboole_0 @ l1_altcat_1 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[777:[bind(A,$thf( sk25 ))]]) ).
thf(1452,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,778]) ).
thf(1453,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1452]) ).
thf(1454,plain,
( ( k1_xboole_0 @ l1_altcat_1 )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1453:[bind(A,$thf( sk25 ))]]) ).
thf(281,plain,
sk21 @ v12_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(909,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v12_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,281]) ).
thf(910,plain,
( ( k1_xboole_0 @ v12_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[909:[bind(A,$thf( sk21 ))]]) ).
thf(2029,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,910]) ).
thf(2030,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2029]) ).
thf(2031,plain,
( ( k1_xboole_0 @ v12_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2030:[bind(A,$thf( sk21 ))]]) ).
thf(7671,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,1020]) ).
thf(7672,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ ( sk21 @ v1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7671]) ).
thf(7673,plain,
( ~ ( sk21 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7672:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(845,plain,
! [A: $i] :
( ( A != sk27 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,366]) ).
thf(846,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[845:[bind(A,$thf( sk27 ))]]) ).
thf(6,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(117,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(118,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk3 ) @ m2_relset_1 ) ) ),
inference(cnf,[status(esa)],[117]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
<=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(111,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m2_relset_1 ) ) ) )
& ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(112,plain,
( ! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m2_relset_1 ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ) ),
inference(miniscope,[status(thm)],[111]) ).
thf(113,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ ( F @ m2_relset_1 ) ) )
| ~ ( E @ ( D @ ( F @ m1_relset_1 ) ) ) )
& ( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ m2_relset_1 ) ) ) ) ),
inference(cnf,[status(esa)],[112]) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ m2_relset_1 ) ) ) ),
inference(cnfConj,[status(thm)],[113]) ).
thf(603,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk3 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m1_relset_1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[118,114]) ).
thf(604,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk3 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m1_relset_1 ) ) ) ),
inference(simp,[status(thm)],[603]) ).
thf(605,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk3 ) @ m1_relset_1 ) ) ),
inference(pattern_uni,[status(thm)],[604:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk3 ) ))]]) ).
thf(606,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk3 ) @ m1_relset_1 ) ) ),
inference(simp,[status(thm)],[605]) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
inference(cnfConj,[status(thm)],[113]) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(622,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk3 ) @ m1_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m1_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m2_relset_1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[606,116]) ).
thf(623,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk3 ) @ m1_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m1_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m2_relset_1 ) ) ) ),
inference(simp,[status(thm)],[622]) ).
thf(624,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk3 ) @ m2_relset_1 ) ) ),
inference(pattern_uni,[status(thm)],[623:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk3 ) ))]]) ).
thf(628,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk3 ) @ m2_relset_1 ) ) ),
inference(simp,[status(thm)],[624]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ m1_subset_1 ) )
=> ( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(248,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ m1_subset_1 ) )
=> ( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(249,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 )
| ~ ( B @ ( A @ m1_subset_1 ) ) ),
inference(cnf,[status(esa)],[248]) ).
thf(1078,plain,
k1_xboole_0 @ v1_xboole_0,
inference(rewrite,[status(thm)],[183,757]) ).
thf(1,conjecture,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k6_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k4_waybel34 @ k12_functor0 ) )
& ( ( A @ k6_waybel34 @ ( A @ k7_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k5_waybel34 @ k12_functor0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_waybel34) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k6_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k4_waybel34 @ k12_functor0 ) )
& ( ( A @ k6_waybel34 @ ( A @ k7_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k5_waybel34 @ k12_functor0 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(102,plain,
~ ! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k6_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k4_waybel34 @ k12_functor0 ) )
& ( ( A @ k6_waybel34 @ ( A @ k7_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k13_functor0 ) ) ) ) )
= ( A @ k5_waybel34 @ k12_functor0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(103,plain,
( ( ( ( sk1 @ k7_waybel34 @ ( sk1 @ k6_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k4_waybel34 @ k12_functor0 ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) )
& ~ ( sk1 @ v2_setfam_1 ) ),
inference(cnf,[status(esa)],[102]) ).
thf(104,plain,
~ ( sk1 @ v2_setfam_1 ),
inference(cnfConj,[status(thm)],[103]) ).
thf(971,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,104]) ).
thf(972,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[971:[bind(A,$thf( sk1 ))]]) ).
thf(1138,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,972]) ).
thf(1139,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 ) ),
inference(simp,[status(thm)],[1138]) ).
thf(1146,plain,
( ( sk1 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 ) ),
inference(simp,[status(thm)],[1139]) ).
thf(1152,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ( sk1 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1146]) ).
thf(1153,plain,
! [A: $i] :
( ( sk1 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1152:[]]) ).
thf(2075,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ( sk1 != k1_xboole_0 )
| ~ ( B @ v2_setfam_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1153]) ).
thf(2076,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ( sk1 != k1_xboole_0 )
| ~ ( B @ v2_setfam_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2075]) ).
thf(2077,plain,
! [A: $i] :
( ( sk1 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2076:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(1357,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,1020]) ).
thf(1358,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1357]) ).
thf(1365,plain,
( ( sk21 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1358]) ).
thf(8093,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1365]) ).
thf(8094,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8093]) ).
thf(8129,plain,
( ( sk9 != k1_xboole_0 )
| ( sk21 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8094]) ).
thf(847,plain,
! [A: $i] :
( ( A != sk26 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,361]) ).
thf(848,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[847:[bind(A,$thf( sk26 ))]]) ).
thf(1247,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,848]) ).
thf(1248,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1247]) ).
thf(1255,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1248]) ).
thf(1595,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ( sk26 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1255]) ).
thf(1596,plain,
! [A: $i] :
( ( sk26 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1595:[]]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(276,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(290,plain,
sk21 @ v9_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(1017,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v9_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,290]) ).
thf(1018,plain,
( ( k1_xboole_0 @ v9_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1017:[bind(A,$thf( sk21 ))]]) ).
thf(2379,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1018]) ).
thf(2380,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2379]) ).
thf(2381,plain,
( ( k1_xboole_0 @ v9_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2380:[bind(A,$thf( sk21 ))]]) ).
thf(1135,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,972]) ).
thf(1136,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1135]) ).
thf(1137,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( sk1 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1136:[bind(A,$thf( sk1 ))]]) ).
thf(1267,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1137]) ).
thf(1268,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1267:[bind(A,$thf( sk1 @ sk14 ))]]) ).
thf(1692,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1268]) ).
thf(1693,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1692]) ).
thf(1694,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1693:[bind(A,$thf( sk1 @ sk14 ))]]) ).
thf(2434,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1694]) ).
thf(2435,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2434]) ).
thf(2436,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2435:[bind(A,$thf( sk1 @ sk14 @ sk22 ))]]) ).
thf(3375,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2436]) ).
thf(3376,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3375]) ).
thf(3377,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3376:[bind(A,$thf( sk1 @ sk14 @ sk22 ))]]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc9_functor0) ).
thf(241,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(242,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v12_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v9_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v8_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v6_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk15 ) @ l2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[241]) ).
thf(247,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v6_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[242]) ).
thf(87,axiom,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ k12_functor0 )
= ( A @ k11_functor0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k12_functor0) ).
thf(440,plain,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ k12_functor0 )
= ( A @ k11_functor0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(7744,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7738]) ).
thf(7745,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ v1_xboole_0 ) )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7744]) ).
thf(7746,plain,
sk27 @ u1_struct_0 @ sk22 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[7745:[bind(A,$thf( sk27 @ u1_struct_0 ))]]) ).
thf(7780,plain,
! [A: $i] :
( ( A
!= ( sk27 @ u1_struct_0 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7746]) ).
thf(7781,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk27 @ u1_struct_0 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7780:[bind(A,$thf( sk27 @ u1_struct_0 @ sk22 ))]]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v14_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_functor2) ).
thf(196,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v14_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( C @ v14_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v11_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[196]) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v11_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[197]) ).
thf(3380,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2436]) ).
thf(3381,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3380]) ).
thf(3382,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3381:[bind(A,$thf( sk1 @ sk14 @ sk22 ))]]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
thf(157,plain,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(158,plain,
! [A: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnf,[status(esa)],[157]) ).
thf(2462,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[357,158]) ).
thf(2463,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) ) ),
inference(simp,[status(thm)],[2462]) ).
thf(2464,plain,
sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( sk25 @ u1_altcat_1 @ m1_pboole ),
inference(pattern_uni,[status(thm)],[2463:[bind(A,$thf( sk25 ))]]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ m1_pboole ) )
=> ( ( B @ v1_funct_1 )
& ( B @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
thf(119,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ m1_pboole ) )
=> ( ( B @ v1_funct_1 )
& ( B @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(120,plain,
! [B: $i,A: $i] :
( ( ( B @ v1_funct_1 )
| ~ ( A @ ( B @ m1_pboole ) ) )
& ( ( B @ v1_relat_1 )
| ~ ( A @ ( B @ m1_pboole ) ) ) ),
inference(cnf,[status(esa)],[119]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( B @ v1_funct_1 )
| ~ ( A @ ( B @ m1_pboole ) ) ),
inference(cnfConj,[status(thm)],[120]) ).
thf(2541,plain,
! [B: $i,A: $i] :
( ( ( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( sk25 @ u1_altcat_1 @ m1_pboole ) )
!= ( A @ ( B @ m1_pboole ) ) )
| ( B @ v1_funct_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2464,122]) ).
thf(2542,plain,
! [B: $i,A: $i] :
( ( ( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( sk25 @ u1_altcat_1 @ m1_pboole ) )
!= ( A @ ( B @ m1_pboole ) ) )
| ( B @ v1_funct_1 ) ),
inference(simp,[status(thm)],[2541]) ).
thf(2543,plain,
sk25 @ u1_altcat_1 @ v1_funct_1,
inference(pattern_uni,[status(thm)],[2542:[bind(A,$thf( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) )),bind(B,$thf( sk25 @ u1_altcat_1 ))]]) ).
thf(2565,plain,
! [A: $i] :
( ( A != sk25 )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2543]) ).
thf(2566,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2565:[bind(A,$thf( sk25 ))]]) ).
thf(5871,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,2566]) ).
thf(5872,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 ) ),
inference(simp,[status(thm)],[5871]) ).
thf(5878,plain,
( ( sk25 != k1_xboole_0 )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 ) ),
inference(simp,[status(thm)],[5872]) ).
thf(639,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( C @ v1_xboole_0 ) )
| ~ $true
| ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[183,344]) ).
thf(640,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk10 @ v1_xboole_0 )
!= ( C @ v1_xboole_0 ) )
| ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[639]) ).
thf(641,plain,
! [B: $i,A: $i] :
( ~ ( sk10 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(pattern_uni,[status(thm)],[640:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk10 ))]]) ).
thf(646,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( sk10 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
| ~ $true
| ~ ( C @ ( B @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[195,641]) ).
thf(647,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( sk10 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
| ~ ( C @ ( B @ r2_hidden ) ) ),
inference(simp,[status(thm)],[646]) ).
thf(648,plain,
! [A: $i] :
~ ( sk10 @ k1_zfmisc_1 @ sk11 @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[647:[bind(A,$thf( sk10 @ k1_zfmisc_1 )),bind(B,$thf( B )),bind(C,$thf( sk10 @ k1_zfmisc_1 @ sk11 ))]]) ).
thf(649,plain,
! [A: $i] :
~ ( sk10 @ k1_zfmisc_1 @ sk11 @ ( A @ r2_hidden ) ),
inference(simp,[status(thm)],[648]) ).
thf(919,plain,
! [B: $i,A: $i] :
( ( A
!= ( sk10 @ k1_zfmisc_1 ) )
| ~ ( k1_xboole_0 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,649]) ).
thf(920,plain,
! [A: $i] :
( ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ ( sk10 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[919:[bind(A,$thf( sk10 @ k1_zfmisc_1 )),bind(B,$thf( B ))]]) ).
thf(1042,plain,
! [A: $i] :
( ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ ( sk10 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[920]) ).
thf(3077,plain,
! [A: $i] :
( ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(rewrite,[status(thm)],[1042,757]) ).
thf(3081,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,3077]) ).
thf(3082,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[3081]) ).
thf(3098,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ k1_zfmisc_1 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[3082]) ).
thf(1679,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ( sk21 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1365]) ).
thf(1680,plain,
! [A: $i] :
( ( sk21 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1679:[]]) ).
thf(8099,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ $true
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1680]) ).
thf(8100,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8099]) ).
thf(8101,plain,
( ( sk21 != k1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8100:[bind(A,$thf( sk9 ))]]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
thf(214,plain,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(215,plain,
! [A: $i] :
( ( A @ l1_struct_0 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnf,[status(esa)],[214]) ).
thf(659,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ l1_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[357,215]) ).
thf(660,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[659]) ).
thf(661,plain,
sk25 @ l1_struct_0,
inference(pattern_uni,[status(thm)],[660:[bind(A,$thf( sk25 ))]]) ).
thf(7730,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ $true
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,287]) ).
thf(7731,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7730]) ).
thf(7732,plain,
( ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( sk21 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7731:[bind(A,$thf( sk21 ))]]) ).
thf(8234,plain,
( ( ( sk25 @ l1_struct_0 )
!= ( sk21 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[661,7732]) ).
thf(8235,plain,
( ( ( sk25 @ l1_struct_0 )
!= ( sk21 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8234]) ).
thf(8247,plain,
( ( sk25 != sk21 )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8235]) ).
thf(9125,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8247]) ).
thf(9126,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9125]) ).
thf(9127,plain,
( ( sk25 != sk21 )
| ( sk21 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9126:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(9,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(128,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(129,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk5 ) @ m1_relset_1 ) ) ),
inference(cnf,[status(esa)],[128]) ).
thf(610,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk5 ) @ m1_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m1_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m2_relset_1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[129,116]) ).
thf(611,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk5 ) @ m1_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m1_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m2_relset_1 ) ) ) ),
inference(simp,[status(thm)],[610]) ).
thf(612,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) ),
inference(pattern_uni,[status(thm)],[611:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk5 ) ))]]) ).
thf(617,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) ),
inference(simp,[status(thm)],[612]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(141,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
| ~ ( B @ ( A @ ( C @ m2_relset_1 ) ) ) ),
inference(cnf,[status(esa)],[141]) ).
thf(1716,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[617,142]) ).
thf(1717,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) ),
inference(simp,[status(thm)],[1716]) ).
thf(1718,plain,
! [B: $i,A: $i] : ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk5 ) @ m1_subset_1 ) ),
inference(pattern_uni,[status(thm)],[1717:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk5 ) ))]]) ).
thf(1720,plain,
! [B: $i,A: $i] : ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk5 ) @ m1_subset_1 ) ),
inference(simp,[status(thm)],[1718]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( C @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(139,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( C @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(140,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ v1_relat_1 )
| ~ ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
inference(cnf,[status(esa)],[139]) ).
thf(1746,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk5 ) @ m1_subset_1 ) )
!= ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) )
| ( E @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1720,140]) ).
thf(1747,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk5 ) @ m1_subset_1 ) )
!= ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) )
| ( E @ v1_relat_1 ) ),
inference(simp,[status(thm)],[1746]) ).
thf(1748,plain,
! [B: $i,A: $i] : ( B @ ( A @ sk5 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[1747:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk5 ) ))]]) ).
thf(1756,plain,
! [B: $i,A: $i] : ( B @ ( A @ sk5 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[1748]) ).
thf(91,axiom,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k12_functor0 @ m2_functor0 ) ) )
& ( A @ ( A @ ( A @ k12_functor0 @ v15_functor0 ) ) )
& ( A @ ( A @ ( A @ k12_functor0 @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_functor0) ).
thf(472,plain,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k12_functor0 @ m2_functor0 ) ) )
& ( A @ ( A @ ( A @ k12_functor0 @ v15_functor0 ) ) )
& ( A @ ( A @ ( A @ k12_functor0 @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(1132,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,972]) ).
thf(1133,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1132]) ).
thf(1134,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( sk1 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1133:[bind(A,$thf( sk1 ))]]) ).
thf(1259,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1134]) ).
thf(1260,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1259:[bind(A,$thf( sk1 @ sk22 ))]]) ).
thf(1487,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1260]) ).
thf(1488,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1487]) ).
thf(1489,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1488:[bind(A,$thf( sk1 @ sk22 ))]]) ).
thf(2283,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1489]) ).
thf(2284,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2283]) ).
thf(2285,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2284:[bind(A,$thf( sk1 @ sk22 @ sk22 ))]]) ).
thf(2851,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2285]) ).
thf(2852,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2851]) ).
thf(2853,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2852:[bind(A,$thf( sk1 @ sk22 @ sk22 ))]]) ).
thf(6239,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2853]) ).
thf(6240,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6239]) ).
thf(6241,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk22 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6240:[bind(A,$thf( sk1 @ sk22 @ sk22 @ sk14 ))]]) ).
thf(19,axiom,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(151,plain,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(152,plain,
( ( sk7 @ v1_funct_1 )
& ( sk7 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[151]) ).
thf(153,plain,
sk7 @ v1_relat_1,
inference(cnfConj,[status(thm)],[152]) ).
thf(1082,plain,
! [A: $i] :
~ ( k1_xboole_0 @ k1_zfmisc_1 @ sk11 @ ( A @ r2_hidden ) ),
inference(rewrite,[status(thm)],[649,757]) ).
thf(1221,plain,
! [B: $i,A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ k1_zfmisc_1 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1082]) ).
thf(1222,plain,
! [B: $i,A: $i] :
( ~ ( A @ k1_zfmisc_1 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1221:[]]) ).
thf(1713,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk3 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[118,142]) ).
thf(1714,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk3 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) ),
inference(simp,[status(thm)],[1713]) ).
thf(1715,plain,
! [B: $i,A: $i] : ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk3 ) @ m1_subset_1 ) ),
inference(pattern_uni,[status(thm)],[1714:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk3 ) ))]]) ).
thf(1719,plain,
! [B: $i,A: $i] : ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk3 ) @ m1_subset_1 ) ),
inference(simp,[status(thm)],[1715]) ).
thf(1726,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk3 ) @ m1_subset_1 ) )
!= ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) )
| ( E @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1719,140]) ).
thf(1727,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( B @ ( A @ sk3 ) @ m1_subset_1 ) )
!= ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( E @ m1_subset_1 ) ) )
| ( E @ v1_relat_1 ) ),
inference(simp,[status(thm)],[1726]) ).
thf(1728,plain,
! [B: $i,A: $i] : ( B @ ( A @ sk3 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[1727:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk3 ) ))]]) ).
thf(1735,plain,
! [B: $i,A: $i] : ( B @ ( A @ sk3 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[1728]) ).
thf(7796,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[365,7691]) ).
thf(7797,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7796]) ).
thf(7824,plain,
( ( sk27 != sk26 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7797]) ).
thf(44,axiom,
! [A: $i] :
( ( ( A @ l1_struct_0 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(256,plain,
! [A: $i] :
( ( ( A @ l1_struct_0 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(257,plain,
! [A: $i] :
( ( ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 )
| ( A @ v3_struct_0 ) )
& ( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ~ ( A @ l1_struct_0 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[256]) ).
thf(259,plain,
! [A: $i] :
( ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[257]) ).
thf(22016,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[365,259]) ).
thf(22017,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[22016]) ).
thf(22018,plain,
( ~ ( sk27 @ sk16 @ v1_xboole_0 )
| ( sk27 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[22017:[bind(A,$thf( sk27 ))]]) ).
thf(22116,plain,
( ~ ( sk27 @ sk16 @ v1_xboole_0 )
| $false ),
inference(rewrite,[status(thm)],[22018,366]) ).
thf(22117,plain,
~ ( sk27 @ sk16 @ v1_xboole_0 ),
inference(simp,[status(thm)],[22116]) ).
thf(22121,plain,
( ( ( sk27 @ sk16 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,22117]) ).
thf(22122,plain,
( ( sk27 @ sk16 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22121]) ).
thf(22140,plain,
( ( sk27 @ sk16 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[22122]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l2_functor0 ) ) )
=> ( B @ ( A @ ( C @ l1_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_functor0) ).
thf(185,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l2_functor0 ) ) )
=> ( B @ ( A @ ( C @ l1_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(362,plain,
sk26 @ v1_altcat_2,
inference(cnfConj,[status(thm)],[359]) ).
thf(915,plain,
! [A: $i] :
( ( A != sk26 )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,362]) ).
thf(916,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[915:[bind(A,$thf( sk26 ))]]) ).
thf(2044,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,916]) ).
thf(2045,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2044]) ).
thf(2046,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ( sk26 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2045:[bind(A,$thf( sk26 ))]]) ).
thf(6481,plain,
( ~ $true
| ( ( sk28 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[4005]) ).
thf(6483,plain,
( ( ( sk28 @ sk14 @ sk22 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6481]) ).
thf(731,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,369]) ).
thf(732,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ v1_xboole_0 ) )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[731]) ).
thf(733,plain,
sk28 @ sk22 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[732:[bind(A,$thf( sk28 ))]]) ).
thf(745,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,733]) ).
thf(746,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[745:[bind(A,$thf( sk28 @ sk22 ))]]) ).
thf(3878,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,746]) ).
thf(3879,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3878]) ).
thf(3880,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3879:[bind(A,$thf( sk28 @ sk22 ))]]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
=> ( ( D = H )
& ( C = G )
& ( B = F )
& ( A = E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_functor0) ).
thf(165,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
=> ( ( D = H )
& ( C = G )
& ( B = F )
& ( A = E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(166,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D = H )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[165]) ).
thf(170,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = H )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[166]) ).
thf(174,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 )
| ( D = H )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) ) ),
inference(lifteq,[status(thm)],[170]) ).
thf(1241,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,848]) ).
thf(1242,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1241]) ).
thf(1243,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk26 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1242:[bind(A,$thf( sk26 ))]]) ).
thf(2856,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2285]) ).
thf(2857,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2856]) ).
thf(2858,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2857:[bind(A,$thf( sk1 @ sk22 @ sk22 ))]]) ).
thf(6266,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2858]) ).
thf(6267,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6266]) ).
thf(6268,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk22 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6267:[bind(A,$thf( sk1 @ sk22 @ sk22 @ sk22 ))]]) ).
thf(8086,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1255]) ).
thf(8087,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8086]) ).
thf(8133,plain,
( ( sk9 != k1_xboole_0 )
| ( sk26 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8087]) ).
thf(7784,plain,
! [A: $i] :
( ( A != sk27 )
| ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7746]) ).
thf(7785,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7784:[bind(A,$thf( sk27 ))]]) ).
thf(11144,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7785]) ).
thf(11145,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[11144]) ).
thf(11146,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[11145:[bind(A,$thf( sk27 ))]]) ).
thf(11149,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7785]) ).
thf(11150,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[11149]) ).
thf(11151,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk22 @ v1_finset_1 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[11150:[bind(A,$thf( sk27 ))]]) ).
thf(1690,plain,
( ( ( sk1 @ sk14 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,1268]) ).
thf(1691,plain,
( ( ( sk1 @ sk14 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1690]) ).
thf(1703,plain,
( ( ( sk1 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1691]) ).
thf(1226,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,846]) ).
thf(1227,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1226]) ).
thf(1228,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1227:[bind(A,$thf( sk27 ))]]) ).
thf(1253,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,848]) ).
thf(1254,plain,
! [A: $i] :
( ~ ( A @ v3_struct_0 )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1253:[]]) ).
thf(1482,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1260]) ).
thf(1483,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1482]) ).
thf(1484,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1483:[bind(A,$thf( sk1 @ sk22 ))]]) ).
thf(2082,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1484]) ).
thf(2083,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2082]) ).
thf(2084,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2083:[bind(A,$thf( sk1 @ sk22 @ sk14 ))]]) ).
thf(2604,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2084]) ).
thf(2605,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2604]) ).
thf(2606,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2605:[bind(A,$thf( sk1 @ sk22 @ sk14 ))]]) ).
thf(5951,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[2606]) ).
thf(5953,plain,
( ( ( sk1 @ sk22 @ sk14 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5951]) ).
thf(1582,plain,
( ( ( sk9 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,790]) ).
thf(1583,plain,
( ( ( sk9 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1582]) ).
thf(1589,plain,
( ( sk9 != k1_xboole_0 )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1583]) ).
thf(7811,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( sk9 != k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[1589,7691]) ).
thf(7812,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk9 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7811]) ).
thf(7825,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk9 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7812]) ).
thf(762,plain,
! [A: $i] :
( ( A != sk27 )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,365]) ).
thf(763,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[762:[bind(A,$thf( sk27 ))]]) ).
thf(1443,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,763]) ).
thf(1444,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1443]) ).
thf(1450,plain,
( ( sk27 != k1_xboole_0 )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1444]) ).
thf(7804,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( sk27 != k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[1450,7691]) ).
thf(7805,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk27 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7804]) ).
thf(7822,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk27 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7805]) ).
thf(843,plain,
! [A: $i] :
( ( A != sk25 )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,661]) ).
thf(844,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[843:[bind(A,$thf( sk25 ))]]) ).
thf(1864,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,844]) ).
thf(1865,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1864]) ).
thf(1871,plain,
( ( sk25 != k1_xboole_0 )
| ( k1_xboole_0 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[1865]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ? [F: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_functor0) ).
thf(109,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ? [F: $i] : ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(110,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ( A @ ( B @ ( C @ ( D @ ( E @ sk2 ) ) ) ) @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ ( E @ m1_pboole ) )
| ~ ( A @ ( D @ m1_pboole ) )
| ~ ( B @ ( A @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 ) ),
inference(cnf,[status(esa)],[109]) ).
thf(8067,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk9 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7670]) ).
thf(8068,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk9 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8067]) ).
thf(8069,plain,
( ( sk9 @ v3_struct_0 )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8068:[bind(A,$thf( sk9 @ u1_struct_0 ))]]) ).
thf(7677,plain,
! [A: $i] :
( ( ( sk25 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[661,213]) ).
thf(7678,plain,
! [A: $i] :
( ( ( sk25 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[7677]) ).
thf(7679,plain,
( ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 )
| ( sk25 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7678:[bind(A,$thf( sk25 ))]]) ).
thf(8169,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk25 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7679,361]) ).
thf(8170,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk25 @ v3_struct_0 ) )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8169]) ).
thf(8208,plain,
( ( sk26 != sk25 )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8170]) ).
thf(8,axiom,
? [A: $i] :
( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
thf(123,plain,
? [A: $i] :
( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(124,plain,
( ( sk4 @ v2_funct_1 )
& ( sk4 @ v1_funct_1 )
& ( sk4 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[123]) ).
thf(125,plain,
sk4 @ v1_relat_1,
inference(cnfConj,[status(thm)],[124]) ).
thf(8321,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[8069,361]) ).
thf(8322,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8321]) ).
thf(8374,plain,
( ( sk26 != sk9 )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8322]) ).
thf(282,plain,
sk21 @ v4_yellow18,
inference(cnfConj,[status(thm)],[279]) ).
thf(933,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v4_yellow18 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,282]) ).
thf(934,plain,
( ( k1_xboole_0 @ v4_yellow18 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[933:[bind(A,$thf( sk21 ))]]) ).
thf(1455,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,778]) ).
thf(1456,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 ) ),
inference(simp,[status(thm)],[1455]) ).
thf(1462,plain,
( ( sk25 != k1_xboole_0 )
| ( k1_xboole_0 @ l1_altcat_1 ) ),
inference(simp,[status(thm)],[1456]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( B @ v1_relat_1 )
| ~ ( A @ ( B @ m1_pboole ) ) ),
inference(cnfConj,[status(thm)],[120]) ).
thf(2512,plain,
! [B: $i,A: $i] :
( ( ( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( sk25 @ u1_altcat_1 @ m1_pboole ) )
!= ( A @ ( B @ m1_pboole ) ) )
| ( B @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2464,121]) ).
thf(2513,plain,
! [B: $i,A: $i] :
( ( ( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( sk25 @ u1_altcat_1 @ m1_pboole ) )
!= ( A @ ( B @ m1_pboole ) ) )
| ( B @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2512]) ).
thf(2514,plain,
sk25 @ u1_altcat_1 @ v1_relat_1,
inference(pattern_uni,[status(thm)],[2513:[bind(A,$thf( sk25 @ u1_struct_0 @ ( sk25 @ u1_struct_0 @ k2_zfmisc_1 ) )),bind(B,$thf( sk25 @ u1_altcat_1 ))]]) ).
thf(2552,plain,
! [A: $i] :
( ( A != sk25 )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2514]) ).
thf(2553,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2552:[bind(A,$thf( sk25 ))]]) ).
thf(5859,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,2553]) ).
thf(5860,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5859]) ).
thf(5866,plain,
( ( sk25 != k1_xboole_0 )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5860]) ).
thf(28,axiom,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v13_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v12_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_functor0) ).
thf(187,plain,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v13_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v12_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(188,plain,
! [A: $i] :
( ( ( A @ ( A @ ( A @ k11_functor0 @ v13_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( A @ ( A @ ( A @ k11_functor0 @ v12_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[187]) ).
thf(189,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[188]) ).
thf(1687,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1268]) ).
thf(1688,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1687]) ).
thf(1689,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1688:[bind(A,$thf( sk1 @ sk14 ))]]) ).
thf(2308,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1689]) ).
thf(2309,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2308]) ).
thf(2310,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2309:[bind(A,$thf( sk1 @ sk14 @ sk14 ))]]) ).
thf(3125,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2310]) ).
thf(3126,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3125]) ).
thf(3127,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3126:[bind(A,$thf( sk1 @ sk14 @ sk14 ))]]) ).
thf(6609,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3127]) ).
thf(6611,plain,
( ( ( sk1 @ sk14 @ sk14 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6609]) ).
thf(284,plain,
sk21 @ v2_yellow18,
inference(cnfConj,[status(thm)],[279]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_functor0) ).
thf(226,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(227,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk13 ) @ v10_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk13 ) @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[226]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk13 ) @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[227]) ).
thf(289,plain,
sk21 @ v3_yellow18,
inference(cnfConj,[status(thm)],[279]) ).
thf(2377,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,1018]) ).
thf(2378,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 ) ),
inference(simp,[status(thm)],[2377]) ).
thf(2388,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v9_altcat_1 ) ),
inference(simp,[status(thm)],[2378]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ l2_functor0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l2_functor0) ).
thf(260,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ l2_functor0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(261,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk17 ) @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnf,[status(esa)],[260]) ).
thf(127,plain,
sk4 @ v2_funct_1,
inference(cnfConj,[status(thm)],[124]) ).
thf(939,plain,
! [A: $i] :
( ( A != sk4 )
| ( k1_xboole_0 @ v2_funct_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,127]) ).
thf(940,plain,
( ( k1_xboole_0 @ v2_funct_1 )
| ~ ( sk4 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[939:[bind(A,$thf( sk4 ))]]) ).
thf(2366,plain,
( ( ( sk4 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,940]) ).
thf(2367,plain,
( ( ( sk4 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 ) ),
inference(simp,[status(thm)],[2366]) ).
thf(2373,plain,
( ( sk4 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_funct_1 ) ),
inference(simp,[status(thm)],[2367]) ).
thf(3998,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,928]) ).
thf(3999,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3998]) ).
thf(4000,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3999:[bind(A,$thf( sk28 @ sk14 ))]]) ).
thf(6216,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk14 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,4000]) ).
thf(6217,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk14 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6216]) ).
thf(6218,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk14 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6217:[bind(A,$thf( sk28 @ sk14 @ sk14 ))]]) ).
thf(6981,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,6218]) ).
thf(6982,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6981]) ).
thf(6983,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6982:[bind(A,$thf( sk28 @ sk14 @ sk14 ))]]) ).
thf(519,plain,
~ ! [A: $i] : ( A @ v2_setfam_1 ),
inference(miniscope,[status(thm)],[518]) ).
thf(520,plain,
~ ( sk32 @ v2_setfam_1 ),
inference(cnf,[status(esa)],[519]) ).
thf(923,plain,
! [A: $i] :
( ( A != sk32 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,520]) ).
thf(924,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ ( sk32 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[923:[bind(A,$thf( sk32 ))]]) ).
thf(2322,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[1689]) ).
thf(2324,plain,
( ( ( sk1 @ sk14 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2322]) ).
thf(8230,plain,
( ( ( sk21 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[164,7732]) ).
thf(8231,plain,
( ( ( sk21 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8230]) ).
thf(8249,plain,
( ( sk21 != sk9 )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8231]) ).
thf(9509,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8249]) ).
thf(9510,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 ) ),
inference(simp,[status(thm)],[9509]) ).
thf(9520,plain,
( ( ( sk21 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk21 != sk9 ) ),
inference(simp,[status(thm)],[9510]) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( ( B @ ( A @ ( C @ v14_functor0 ) ) )
& ( B @ ( A @ ( C @ v11_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_functor2) ).
thf(321,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( ( B @ ( A @ ( C @ v14_functor0 ) ) )
& ( B @ ( A @ ( C @ v11_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(47,axiom,
? [A: $i] : ( A @ l2_altcat_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l2_altcat_1) ).
thf(266,plain,
? [A: $i] : ( A @ l2_altcat_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(267,plain,
sk18 @ l2_altcat_1,
inference(cnf,[status(esa)],[266]) ).
thf(925,plain,
! [A: $i] :
( ( A != sk18 )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,267]) ).
thf(926,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( sk18 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[925:[bind(A,$thf( sk18 ))]]) ).
thf(2225,plain,
( ( ( sk18 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,926]) ).
thf(2226,plain,
( ( ( sk18 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[2225]) ).
thf(2236,plain,
( ( sk18 != k1_xboole_0 )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[2226]) ).
thf(105,plain,
( ( ( sk1 @ k7_waybel34 @ ( sk1 @ k6_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k4_waybel34 @ k12_functor0 ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(cnfConj,[status(thm)],[103]) ).
thf(106,plain,
( ( ( sk1 @ k7_waybel34 @ ( sk1 @ k6_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k4_waybel34 @ k12_functor0 ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(lifteq,[status(thm)],[105]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( ( B @ ( A @ ( C @ v13_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_functor2) ).
thf(235,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( ( B @ ( A @ ( C @ v13_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(236,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[235]) ).
thf(238,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[236]) ).
thf(1579,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,790]) ).
thf(1580,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1579]) ).
thf(1581,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk9 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1580:[bind(A,$thf( sk9 ))]]) ).
thf(1232,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,846]) ).
thf(1233,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1232]) ).
thf(1240,plain,
( ( sk27 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1233]) ).
thf(1470,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ( sk27 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1240]) ).
thf(1471,plain,
! [A: $i] :
( ( sk27 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1470:[]]) ).
thf(8107,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk27 != k1_xboole_0 )
| ~ $true
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1471]) ).
thf(8108,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk27 != k1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8107]) ).
thf(8109,plain,
( ( sk27 != k1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8108:[bind(A,$thf( sk9 ))]]) ).
thf(8262,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,7750]) ).
thf(8263,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8262]) ).
thf(8284,plain,
( ( sk27 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8263]) ).
thf(25,axiom,
! [A: $i] :
( ( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) )
=> ( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
thf(175,plain,
! [A: $i] :
( ( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) )
=> ( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(176,plain,
! [A: $i] :
( ( ( A @ v2_funct_1 )
| ~ ( A @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 )
| ~ ( A @ v1_relat_1 ) )
& ( ( A @ v1_funct_1 )
| ~ ( A @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 )
| ~ ( A @ v1_relat_1 ) )
& ( ( A @ v1_relat_1 )
| ~ ( A @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 )
| ~ ( A @ v1_relat_1 ) ) ),
inference(cnf,[status(esa)],[175]) ).
thf(179,plain,
! [A: $i] :
( ( A @ v2_funct_1 )
| ~ ( A @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 )
| ~ ( A @ v1_relat_1 ) ),
inference(cnfConj,[status(thm)],[176]) ).
thf(7739,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7738]) ).
thf(7740,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ v1_xboole_0 ) )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7739]) ).
thf(7741,plain,
sk27 @ u1_struct_0 @ sk14 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[7740:[bind(A,$thf( sk27 @ u1_struct_0 ))]]) ).
thf(7763,plain,
! [A: $i] :
( ( A
!= ( sk27 @ u1_struct_0 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7741]) ).
thf(7764,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk27 @ u1_struct_0 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7763:[bind(A,$thf( sk27 @ u1_struct_0 @ sk14 ))]]) ).
thf(10621,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7764]) ).
thf(10622,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10621]) ).
thf(10623,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk27 @ u1_struct_0 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10622:[bind(A,$thf( sk27 @ u1_struct_0 @ sk14 ))]]) ).
thf(88,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ( ( A @ k4_waybel34 @ l2_altcat_1 )
& ( A @ k4_waybel34 @ v2_yellow21 )
& ( A @ k4_waybel34 @ v12_altcat_1 )
& ( A @ k4_waybel34 @ v11_altcat_1 )
& ( A @ k4_waybel34 @ v6_altcat_1 )
& ( A @ k4_waybel34 @ v2_altcat_1 )
& ~ ( A @ k4_waybel34 @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
thf(443,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ( ( A @ k4_waybel34 @ l2_altcat_1 )
& ( A @ k4_waybel34 @ v2_yellow21 )
& ( A @ k4_waybel34 @ v12_altcat_1 )
& ( A @ k4_waybel34 @ v11_altcat_1 )
& ( A @ k4_waybel34 @ v6_altcat_1 )
& ( A @ k4_waybel34 @ v2_altcat_1 )
& ~ ( A @ k4_waybel34 @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v2_yellow21 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_yellow21 )
& ( A @ v4_yellow18 )
& ( A @ v3_yellow18 )
& ( A @ v2_yellow18 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v9_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow21) ).
thf(376,plain,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v2_yellow21 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_yellow21 )
& ( A @ v4_yellow18 )
& ( A @ v3_yellow18 )
& ( A @ v2_yellow18 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v9_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(7817,plain,
! [A: $i] :
( ( A != sk26 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7691]) ).
thf(7818,plain,
( ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7817:[bind(A,$thf( sk26 ))]]) ).
thf(42,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(250,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(251,plain,
~ ? [A: $i] :
( ? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A != B ) )
& ( A @ v1_xboole_0 ) ),
inference(miniscope,[status(thm)],[250]) ).
thf(252,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ( A = B )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[251]) ).
thf(253,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ( A = B ) ),
inference(lifteq,[status(thm)],[252]) ).
thf(1326,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,737]) ).
thf(1327,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 ) ),
inference(simp,[status(thm)],[1326]) ).
thf(1334,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v1_yellow21 ) ),
inference(simp,[status(thm)],[1327]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_functor0) ).
thf(208,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(209,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ ( A @ ( B @ sk12 ) @ v9_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( B @ ( A @ ( A @ ( B @ sk12 ) @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[208]) ).
thf(211,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk12 ) @ v9_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[209]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) )
=> ( C @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
thf(147,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) )
=> ( C @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ( B @ v2_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v16_functor0 ) ) )
& ( B @ ( A @ ( C @ v15_functor0 ) ) )
& ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ m2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_functor0) ).
thf(397,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ( B @ v2_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v16_functor0 ) ) )
& ( B @ ( A @ ( C @ v15_functor0 ) ) )
& ( B @ ( A @ ( C @ v9_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ m2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(280,plain,
sk21 @ v2_yellow21,
inference(cnfConj,[status(thm)],[279]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v13_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_functor2) ).
thf(219,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v13_functor0 ) ) )
& ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(220,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) )
& ( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ) ),
inference(cnf,[status(esa)],[219]) ).
thf(221,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[220]) ).
thf(1875,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,852]) ).
thf(1876,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 ) ),
inference(simp,[status(thm)],[1875]) ).
thf(1886,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v3_yellow21 ) ),
inference(simp,[status(thm)],[1876]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ! [F: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
=> ( A @ ( F @ m1_pboole ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_functor0) ).
thf(132,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ! [F: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
=> ( A @ ( F @ m1_pboole ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(133,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( F @ m1_pboole ) )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ ( E @ m1_pboole ) )
| ~ ( A @ ( D @ m1_pboole ) )
| ~ ( B @ ( A @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 ) ),
inference(cnf,[status(esa)],[132]) ).
thf(8084,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,366]) ).
thf(8085,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8084]) ).
thf(8138,plain,
( ( sk27 != sk9 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8085]) ).
thf(8689,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk9 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8138]) ).
thf(8690,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk9 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8689]) ).
thf(8691,plain,
( ( sk27 != sk9 )
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8690:[bind(A,$thf( sk9 @ u1_struct_0 ))]]) ).
thf(283,plain,
sk21 @ l2_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(1025,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,283]) ).
thf(1026,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1025:[bind(A,$thf( sk21 ))]]) ).
thf(2390,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1026]) ).
thf(2391,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2390]) ).
thf(2392,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2391:[bind(A,$thf( sk21 ))]]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funcop_1 )
& ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_functor0) ).
thf(203,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funcop_1 )
& ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(204,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funcop_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funct_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_relat_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[203]) ).
thf(206,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funct_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[204]) ).
thf(8088,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk9 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7670]) ).
thf(8089,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk9 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8088]) ).
thf(8090,plain,
( ( sk9 @ v3_struct_0 )
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8089:[bind(A,$thf( sk9 @ u1_struct_0 ))]]) ).
thf(8717,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[8090,361]) ).
thf(8718,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8717]) ).
thf(8774,plain,
( ( sk26 != sk9 )
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8718]) ).
thf(631,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m1_relset_1 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[617,114]) ).
thf(632,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ ( B @ ( A @ sk5 ) @ m2_relset_1 ) ) )
!= ( D @ ( C @ ( E @ m2_relset_1 ) ) ) )
| ( D @ ( C @ ( E @ m1_relset_1 ) ) ) ),
inference(simp,[status(thm)],[631]) ).
thf(633,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk5 ) @ m1_relset_1 ) ) ),
inference(pattern_uni,[status(thm)],[632:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( G )),bind(D,$thf( F )),bind(E,$thf( G @ ( F @ sk5 ) ))]]) ).
thf(634,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( B @ ( A @ sk5 ) @ m1_relset_1 ) ) ),
inference(simp,[status(thm)],[633]) ).
thf(1445,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,763]) ).
thf(1446,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1445]) ).
thf(1447,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1446:[bind(A,$thf( sk27 ))]]) ).
thf(293,plain,
sk21 @ v1_altcat_2,
inference(cnfConj,[status(thm)],[279]) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v9_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[242]) ).
thf(5622,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3880]) ).
thf(5623,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5622]) ).
thf(5624,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk22 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5623:[bind(A,$thf( sk28 @ sk22 @ sk14 ))]]) ).
thf(6491,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,5624]) ).
thf(6492,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6491]) ).
thf(6493,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6492:[bind(A,$thf( sk28 @ sk22 @ sk14 ))]]) ).
thf(7049,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,6493]) ).
thf(7050,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7049]) ).
thf(7051,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7050:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk22 ))]]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_functor0) ).
thf(262,plain,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(263,plain,
! [A: $i] :
( ( ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) )
| ~ ( A @ l1_altcat_1 ) )
& ( ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[262]) ).
thf(265,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[263]) ).
thf(292,plain,
sk21 @ v11_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(96,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v10_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc19_functor0) ).
thf(512,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v10_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ m2_functor0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_functor0) ).
thf(270,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ m2_functor0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(1336,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk32 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,924]) ).
thf(1337,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk32 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1336]) ).
thf(1338,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( sk32 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1337:[bind(A,$thf( sk32 ))]]) ).
thf(7802,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[164,7691]) ).
thf(7803,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7802]) ).
thf(7819,plain,
( ( sk26 != sk9 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7803]) ).
thf(8602,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,7819]) ).
thf(8603,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 ) ),
inference(simp,[status(thm)],[8602]) ).
thf(8613,plain,
( ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk26 != sk9 ) ),
inference(simp,[status(thm)],[8603]) ).
thf(8091,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,361]) ).
thf(8092,plain,
( ( ( sk26 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8091]) ).
thf(8139,plain,
( ( sk26 != sk9 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8092]) ).
thf(8998,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8139]) ).
thf(8999,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 ) ),
inference(simp,[status(thm)],[8998]) ).
thf(9009,plain,
( ( ( sk9 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk26 != sk9 ) ),
inference(simp,[status(thm)],[8999]) ).
thf(6471,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk14 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,4005]) ).
thf(6472,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk14 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6471]) ).
thf(6473,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk14 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6472:[bind(A,$thf( sk28 @ sk14 @ sk22 ))]]) ).
thf(7003,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,6473]) ).
thf(7004,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7003]) ).
thf(7005,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7004:[bind(A,$thf( sk28 @ sk14 @ sk22 ))]]) ).
thf(1866,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,844]) ).
thf(1867,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1866]) ).
thf(1868,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1867:[bind(A,$thf( sk25 ))]]) ).
thf(835,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v2_yellow21 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,280]) ).
thf(836,plain,
( ( k1_xboole_0 @ v2_yellow21 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[835:[bind(A,$thf( sk21 ))]]) ).
thf(1634,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,836]) ).
thf(1635,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1634]) ).
thf(1636,plain,
( ( k1_xboole_0 @ v2_yellow21 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1635:[bind(A,$thf( sk21 ))]]) ).
thf(6280,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk22 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[2858]) ).
thf(6282,plain,
( ( ( sk1 @ sk22 @ sk22 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6280]) ).
thf(839,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,293]) ).
thf(840,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[839:[bind(A,$thf( sk21 ))]]) ).
thf(1649,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,840]) ).
thf(1650,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1649]) ).
thf(1651,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1650:[bind(A,$thf( sk21 ))]]) ).
thf(291,plain,
sk21 @ v2_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(905,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v2_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,291]) ).
thf(906,plain,
( ( k1_xboole_0 @ v2_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[905:[bind(A,$thf( sk21 ))]]) ).
thf(2009,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,906]) ).
thf(2010,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2009]) ).
thf(2011,plain,
( ( k1_xboole_0 @ v2_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2010:[bind(A,$thf( sk21 ))]]) ).
thf(3096,plain,
! [B: $i,A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ sk11 @ ( B @ r2_hidden ) )
| ~ ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3077]) ).
thf(3097,plain,
! [B: $i,A: $i] :
( ~ ( A @ sk11 @ ( B @ r2_hidden ) )
| ~ ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3096:[]]) ).
thf(233,plain,
! [A: $i] :
( ~ ( A @ sk14 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[231]) ).
thf(89,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ v3_yellow21 )
& ( A @ k5_waybel34 @ v2_yellow21 )
& ( A @ k5_waybel34 @ v1_yellow21 )
& ( A @ k5_waybel34 @ v4_yellow18 )
& ( A @ k5_waybel34 @ v3_yellow18 )
& ( A @ k5_waybel34 @ v2_yellow18 )
& ( A @ k5_waybel34 @ v1_altcat_2 )
& ( A @ k5_waybel34 @ v12_altcat_1 )
& ( A @ k5_waybel34 @ v11_altcat_1 )
& ( A @ k5_waybel34 @ v9_altcat_1 )
& ( A @ k5_waybel34 @ v6_altcat_1 )
& ( A @ k5_waybel34 @ v2_altcat_1 )
& ~ ( A @ k5_waybel34 @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
thf(452,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ v3_yellow21 )
& ( A @ k5_waybel34 @ v2_yellow21 )
& ( A @ k5_waybel34 @ v1_yellow21 )
& ( A @ k5_waybel34 @ v4_yellow18 )
& ( A @ k5_waybel34 @ v3_yellow18 )
& ( A @ k5_waybel34 @ v2_yellow18 )
& ( A @ k5_waybel34 @ v1_altcat_2 )
& ( A @ k5_waybel34 @ v12_altcat_1 )
& ( A @ k5_waybel34 @ v11_altcat_1 )
& ( A @ k5_waybel34 @ v9_altcat_1 )
& ( A @ k5_waybel34 @ v6_altcat_1 )
& ( A @ k5_waybel34 @ v2_altcat_1 )
& ~ ( A @ k5_waybel34 @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(5873,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2566]) ).
thf(5874,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5873]) ).
thf(5875,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[5874:[bind(A,$thf( sk25 ))]]) ).
thf(7742,plain,
( ( ( sk27 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,7738]) ).
thf(7743,plain,
( ( sk27 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7742]) ).
thf(7751,plain,
( ( sk27 @ u1_struct_0 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[7743]) ).
thf(7755,plain,
! [A: $i] :
( ( A != sk27 )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7751]) ).
thf(7756,plain,
( ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7755:[bind(A,$thf( sk27 ))]]) ).
thf(8288,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,7756]) ).
thf(8289,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[8288]) ).
thf(8302,plain,
( ( sk27 != k1_xboole_0 )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[8289]) ).
thf(7813,plain,
! [A: $i] :
( ( A != sk26 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7691]) ).
thf(7814,plain,
( ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7813:[bind(A,$thf( sk26 ))]]) ).
thf(201,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[197]) ).
thf(1781,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ l1_struct_0 )
| ~ $true
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[1454,215]) ).
thf(1782,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ l1_struct_0 )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1781]) ).
thf(1783,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1782:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(7767,plain,
! [A: $i] :
( ( A != sk27 )
| ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,7741]) ).
thf(7768,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[7767:[bind(A,$thf( sk27 ))]]) ).
thf(10637,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7768]) ).
thf(10638,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10637]) ).
thf(10639,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10638:[bind(A,$thf( sk27 ))]]) ).
thf(1273,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ( sk1 @ sk14 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1137]) ).
thf(1274,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ( sk1 @ sk14 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1273:[]]) ).
thf(2599,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2084]) ).
thf(2600,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2599]) ).
thf(2601,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk22 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2600:[bind(A,$thf( sk1 @ sk22 @ sk14 ))]]) ).
thf(8166,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk25 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7679]) ).
thf(8167,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8166]) ).
thf(8168,plain,
( ( sk25 @ v3_struct_0 )
| ( sk25 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8167:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(841,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v11_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,292]) ).
thf(842,plain,
( ( k1_xboole_0 @ v11_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[841:[bind(A,$thf( sk21 ))]]) ).
thf(1664,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,842]) ).
thf(1665,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1664]) ).
thf(1666,plain,
( ( k1_xboole_0 @ v11_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1665:[bind(A,$thf( sk21 ))]]) ).
thf(8079,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ $true
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1254]) ).
thf(8080,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8079]) ).
thf(8081,plain,
( ~ ( sk26 @ v1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8080:[bind(A,$thf( sk9 ))]]) ).
thf(192,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v12_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[188]) ).
thf(80,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ m2_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v16_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
thf(407,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ m2_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v16_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(787,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v3_yellow18 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,289]) ).
thf(788,plain,
( ( k1_xboole_0 @ v3_yellow18 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[787:[bind(A,$thf( sk21 ))]]) ).
thf(137,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_2 ) ) )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(cnfConj,[status(thm)],[135]) ).
thf(8125,plain,
( ( ( sk21 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,287]) ).
thf(8126,plain,
( ( ( sk21 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8125]) ).
thf(8128,plain,
( ( sk21 != sk9 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8126]) ).
thf(8672,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8128]) ).
thf(8673,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 ) ),
inference(simp,[status(thm)],[8672]) ).
thf(8683,plain,
( ( ( sk9 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk21 != sk9 ) ),
inference(simp,[status(thm)],[8673]) ).
thf(5935,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2606]) ).
thf(5936,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5935]) ).
thf(5937,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5936:[bind(A,$thf( sk1 @ sk22 @ sk14 @ sk22 ))]]) ).
thf(7061,plain,
( ~ $true
| ( ( sk28 @ sk22 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[6493]) ).
thf(7063,plain,
( ( ( sk28 @ sk22 @ sk14 @ sk22 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7061]) ).
thf(1144,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,972]) ).
thf(1145,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1144:[]]) ).
thf(1949,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1145]) ).
thf(1950,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1949]) ).
thf(1951,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1950:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(10,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_pboole ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_pboole) ).
thf(130,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_pboole ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(131,plain,
! [A: $i] : ( A @ ( A @ sk6 @ m1_pboole ) ),
inference(cnf,[status(esa)],[130]) ).
thf(662,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_pboole ) )
!= ( B @ ( C @ m1_pboole ) ) )
| ( C @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[131,121]) ).
thf(663,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_pboole ) )
!= ( B @ ( C @ m1_pboole ) ) )
| ( C @ v1_relat_1 ) ),
inference(simp,[status(thm)],[662]) ).
thf(664,plain,
! [A: $i] : ( A @ sk6 @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[663:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ sk6 ))]]) ).
thf(665,plain,
! [A: $i] : ( A @ sk6 @ v1_relat_1 ),
inference(simp,[status(thm)],[664]) ).
thf(9130,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8247]) ).
thf(9131,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9130]) ).
thf(9132,plain,
( ( sk25 != sk21 )
| ( sk21 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9131:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(553,plain,
( ( ( sk28 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[183,369]) ).
thf(554,plain,
( ( sk28 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[553]) ).
thf(555,plain,
sk28 != sk10,
inference(simp,[status(thm)],[554]) ).
thf(1079,plain,
sk28 != k1_xboole_0,
inference(rewrite,[status(thm)],[555,757]) ).
thf(5856,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2553]) ).
thf(5857,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5856]) ).
thf(5858,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[5857:[bind(A,$thf( sk25 ))]]) ).
thf(8285,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7756]) ).
thf(8286,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8285]) ).
thf(8287,plain,
( ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8286:[bind(A,$thf( sk27 ))]]) ).
thf(1238,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v3_struct_0 )
| ~ ( sk27 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,846]) ).
thf(1239,plain,
! [A: $i] :
( ~ ( A @ v3_struct_0 )
| ~ ( sk27 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1238:[]]) ).
thf(8102,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ $true
| ~ ( sk27 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1239]) ).
thf(8103,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ~ ( sk27 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8102]) ).
thf(8104,plain,
( ~ ( sk27 @ v1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8103:[bind(A,$thf( sk9 ))]]) ).
thf(90,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ m2_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v16_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_waybel34) ).
thf(467,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ m2_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v16_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(229,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk13 ) @ v10_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[227]) ).
thf(224,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v8_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[220]) ).
thf(8236,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk21 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7732]) ).
thf(8237,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ ( sk21 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8236]) ).
thf(8238,plain,
( ~ ( sk21 @ l1_struct_0 )
| ( sk21 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8237:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ( A @ l1_struct_0 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ l1_functor0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_functor0) ).
thf(155,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ( A @ l1_struct_0 ) )
=> ? [C: $i] : ( B @ ( A @ ( C @ l1_functor0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(156,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk8 ) @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(cnf,[status(esa)],[155]) ).
thf(8221,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk21 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7732]) ).
thf(8222,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ ( sk21 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8221]) ).
thf(8223,plain,
( ~ ( sk21 @ l1_struct_0 )
| ( sk21 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8222:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(76,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_functor0) ).
thf(388,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ v6_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(3883,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,746]) ).
thf(3884,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3883]) ).
thf(3885,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3884:[bind(A,$thf( sk28 @ sk22 ))]]) ).
thf(5887,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3885]) ).
thf(5888,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk22 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5887]) ).
thf(5889,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk22 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5888:[bind(A,$thf( sk28 @ sk22 @ sk22 ))]]) ).
thf(22054,plain,
! [A: $i] :
( ( ( sk25 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[661,259]) ).
thf(22055,plain,
! [A: $i] :
( ( ( sk25 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[22054]) ).
thf(22056,plain,
( ~ ( sk25 @ sk16 @ v1_xboole_0 )
| ( sk25 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[22055:[bind(A,$thf( sk25 ))]]) ).
thf(6778,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,5889]) ).
thf(6779,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6778]) ).
thf(6780,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6779:[bind(A,$thf( sk28 @ sk22 @ sk22 ))]]) ).
thf(1342,plain,
( ( ( sk32 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,924]) ).
thf(1343,plain,
( ( ( sk32 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 ) ),
inference(simp,[status(thm)],[1342]) ).
thf(1350,plain,
( ( sk32 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 ) ),
inference(simp,[status(thm)],[1343]) ).
thf(3120,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2310]) ).
thf(3121,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk1 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3120]) ).
thf(3122,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( sk1 @ sk14 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[3121:[bind(A,$thf( sk1 @ sk14 @ sk14 ))]]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_functor0) ).
thf(317,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(1485,plain,
( ( ( sk1 @ sk22 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,1260]) ).
thf(1486,plain,
( ( ( sk1 @ sk22 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1485]) ).
thf(1498,plain,
( ( ( sk1 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1486]) ).
thf(10642,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7768]) ).
thf(10643,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10642]) ).
thf(10644,plain,
( ( k1_xboole_0 @ u1_struct_0 @ sk14 @ v1_finset_1 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10643:[bind(A,$thf( sk27 ))]]) ).
thf(911,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( sk10 @ k1_zfmisc_1 ) )
| ~ ( k1_xboole_0 @ ( C @ m1_subset_1 ) )
| ~ ( C @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,641]) ).
thf(912,plain,
! [B: $i,A: $i] :
( ~ ( k1_xboole_0 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) )
| ~ ( sk10 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[911:[bind(A,$thf( sk10 @ k1_zfmisc_1 )),bind(B,$thf( B )),bind(C,$thf( C ))]]) ).
thf(1039,plain,
! [B: $i,A: $i] :
( ~ ( k1_xboole_0 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) )
| ~ ( sk10 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[912]) ).
thf(7101,plain,
! [B: $i,A: $i] :
( ~ ( k1_xboole_0 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) )
| ~ ( k1_xboole_0 @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(rewrite,[status(thm)],[1039,757]) ).
thf(225,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[220]) ).
thf(2323,plain,
( ( ( sk1 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2322]) ).
thf(9506,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8249]) ).
thf(9507,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9506]) ).
thf(9508,plain,
( ( sk21 != sk9 )
| ( sk21 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9507:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(8224,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk21 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[365,7732]) ).
thf(8225,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk21 @ l1_struct_0 ) )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8224]) ).
thf(8251,plain,
( ( sk27 != sk21 )
| ~ ( sk21 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8225]) ).
thf(193,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v13_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[188]) ).
thf(22066,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk26 @ v3_struct_0 ) )
| ~ $true
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[259,361]) ).
thf(22067,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk26 @ v3_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[22066]) ).
thf(22068,plain,
( ~ ( sk26 @ sk16 @ v1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[22067:[bind(A,$thf( sk26 ))]]) ).
thf(22236,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[365,22068]) ).
thf(22237,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22236]) ).
thf(22274,plain,
( ( sk27 != sk26 )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22237]) ).
thf(8256,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7750]) ).
thf(8257,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8256]) ).
thf(8258,plain,
( ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8257:[bind(A,$thf( sk27 ))]]) ).
thf(2453,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ~ $true
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[1454,158]) ).
thf(2454,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2453]) ).
thf(2455,plain,
( ( k1_xboole_0 @ u1_struct_0 @ ( k1_xboole_0 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( k1_xboole_0 @ u1_altcat_1 @ m1_pboole ) )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2454:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(2042,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,916]) ).
thf(2043,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 ) ),
inference(simp,[status(thm)],[2042]) ).
thf(2053,plain,
( ( sk26 != k1_xboole_0 )
| ( k1_xboole_0 @ v1_altcat_2 ) ),
inference(simp,[status(thm)],[2043]) ).
thf(8110,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,848]) ).
thf(8111,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8110]) ).
thf(8132,plain,
( ( sk9 != k1_xboole_0 )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8111]) ).
thf(6486,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,5624]) ).
thf(6487,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6486]) ).
thf(6488,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6487:[bind(A,$thf( sk28 @ sk22 @ sk14 ))]]) ).
thf(6835,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,6488]) ).
thf(6836,plain,
! [A: $i] :
( ( A
!= ( sk28 @ sk22 @ sk14 @ sk14 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6835]) ).
thf(6837,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk28 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6836:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk14 ))]]) ).
thf(2027,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,910]) ).
thf(2028,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 ) ),
inference(simp,[status(thm)],[2027]) ).
thf(2038,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v12_altcat_1 ) ),
inference(simp,[status(thm)],[2028]) ).
thf(360,plain,
sk26 @ l2_altcat_1,
inference(cnfConj,[status(thm)],[359]) ).
thf(853,plain,
! [A: $i] :
( ( A != sk26 )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,360]) ).
thf(854,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[853:[bind(A,$thf( sk26 ))]]) ).
thf(1887,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,854]) ).
thf(1888,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1887]) ).
thf(1889,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk26 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1888:[bind(A,$thf( sk26 ))]]) ).
thf(6860,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3377]) ).
thf(6861,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6860]) ).
thf(6862,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk22 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6861:[bind(A,$thf( sk1 @ sk14 @ sk22 @ sk14 ))]]) ).
thf(8203,plain,
( ( ( sk25 @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7679,287]) ).
thf(8204,plain,
( ( ( sk25 @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8203]) ).
thf(8215,plain,
( ( sk25 != sk21 )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8204]) ).
thf(9115,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8215]) ).
thf(9116,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9115]) ).
thf(9117,plain,
( ( sk25 != sk21 )
| ( sk25 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9116:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(2012,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,906]) ).
thf(2013,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 ) ),
inference(simp,[status(thm)],[2012]) ).
thf(2023,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_altcat_1 ) ),
inference(simp,[status(thm)],[2013]) ).
thf(7798,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk26 @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[1078,7691]) ).
thf(7799,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7798]) ).
thf(7821,plain,
( ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7799]) ).
thf(9511,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8249]) ).
thf(9512,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9511]) ).
thf(9513,plain,
( ( sk21 != sk9 )
| ( sk21 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9512:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(2448,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[1694]) ).
thf(2450,plain,
( ( ( sk1 @ sk14 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2448]) ).
thf(8070,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ $true
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1596]) ).
thf(8071,plain,
! [A: $i] :
( ( ( sk9 @ v3_struct_0 )
!= ( A @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8070]) ).
thf(8072,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( sk9 @ v1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[8071:[bind(A,$thf( sk9 ))]]) ).
thf(169,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[166]) ).
thf(173,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 )
| ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) ) ),
inference(lifteq,[status(thm)],[169]) ).
thf(1872,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,852]) ).
thf(1873,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1872]) ).
thf(1874,plain,
( ( k1_xboole_0 @ v3_yellow21 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1873:[bind(A,$thf( sk21 ))]]) ).
thf(2368,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk4 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,940]) ).
thf(2369,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk4 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2368]) ).
thf(2370,plain,
( ( k1_xboole_0 @ v2_funct_1 )
| ( sk4 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2369:[bind(A,$thf( sk4 ))]]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v21_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_functor0) ).
thf(393,plain,
! [A: $i] :
( ( A @ l1_altcat_1 )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v21_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(1265,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ( sk1 @ sk22 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1134]) ).
thf(1266,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ( sk1 @ sk22 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1265:[]]) ).
thf(1229,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,846]) ).
thf(1230,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1229]) ).
thf(1231,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1230:[bind(A,$thf( sk27 ))]]) ).
thf(6874,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk22 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3377]) ).
thf(6876,plain,
( ( ( sk1 @ sk14 @ sk22 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6874]) ).
thf(9110,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8215]) ).
thf(9111,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9110]) ).
thf(9112,plain,
( ( sk25 != sk21 )
| ( sk25 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9111:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(1457,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,778]) ).
thf(1458,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1457]) ).
thf(1459,plain,
( ( k1_xboole_0 @ l1_altcat_1 )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1458:[bind(A,$thf( sk25 ))]]) ).
thf(2480,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ~ $true
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[1459,158]) ).
thf(2481,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_altcat_1 @ m1_pboole ) )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2480]) ).
thf(2482,plain,
( ( k1_xboole_0 @ u1_struct_0 @ ( k1_xboole_0 @ u1_struct_0 @ k2_zfmisc_1 ) @ ( k1_xboole_0 @ u1_altcat_1 @ m1_pboole ) )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2481:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(1244,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,848]) ).
thf(1245,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1244]) ).
thf(1246,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk26 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1245:[bind(A,$thf( sk26 ))]]) ).
thf(74,axiom,
! [A: $i] :
( ( ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_functor0) ).
thf(371,plain,
! [A: $i] :
( ( ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ ( A @ k11_functor0 @ v10_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
& ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(6986,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,6218]) ).
thf(6987,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6986]) ).
thf(6988,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6987:[bind(A,$thf( sk28 @ sk14 @ sk14 ))]]) ).
thf(244,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v12_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[242]) ).
thf(205,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_relat_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[204]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k15_functor0 ) ) @ l2_functor0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k15_functor0 ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_functor0) ).
thf(311,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k15_functor0 ) ) @ l2_functor0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k15_functor0 ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(539,plain,
( ( ( sk1 @ k4_waybel34 @ k12_functor0 )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) )
| ( ( sk1 @ k7_waybel34 @ ( sk1 @ k6_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(eqfactor_ordered,[status(thm)],[106]) ).
thf(541,plain,
( ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k7_waybel34 @ ( sk1 @ k6_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(785,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v2_yellow18 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,284]) ).
thf(786,plain,
( ( k1_xboole_0 @ v2_yellow18 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[785:[bind(A,$thf( sk21 ))]]) ).
thf(1552,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,786]) ).
thf(1553,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 ) ),
inference(simp,[status(thm)],[1552]) ).
thf(1563,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_yellow18 ) ),
inference(simp,[status(thm)],[1553]) ).
thf(22107,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ $true
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[259,287]) ).
thf(22108,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( sk21 @ v3_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[22107]) ).
thf(22109,plain,
( ~ ( sk21 @ sk16 @ v1_xboole_0 )
| ~ ( sk21 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[22108:[bind(A,$thf( sk21 ))]]) ).
thf(8117,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk27 != k1_xboole_0 )
| ~ $true
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7670,1240]) ).
thf(8118,plain,
( ( ( sk9 @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk27 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8117]) ).
thf(8127,plain,
( ( sk9 != k1_xboole_0 )
| ( sk27 != k1_xboole_0 )
| ~ ( sk9 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8118]) ).
thf(237,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[236]) ).
thf(9083,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8208]) ).
thf(9084,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 ) ),
inference(simp,[status(thm)],[9083]) ).
thf(9094,plain,
( ( ( sk25 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk26 != sk25 ) ),
inference(simp,[status(thm)],[9084]) ).
thf(9128,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8247]) ).
thf(9129,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 ) ),
inference(simp,[status(thm)],[9128]) ).
thf(9139,plain,
( ( ( sk21 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk25 != sk21 ) ),
inference(simp,[status(thm)],[9129]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ r2_hidden ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[143]) ).
thf(584,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ r2_hidden ) )
!= ( B @ ( A @ r2_hidden ) ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(eqfactor_ordered,[status(thm)],[144]) ).
thf(585,plain,
! [A: $i] :
~ ( A @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[584:[bind(A,$thf( B ))]]) ).
thf(586,plain,
! [A: $i] :
~ ( A @ ( A @ r2_hidden ) ),
inference(simp,[status(thm)],[585]) ).
thf(286,plain,
sk21 @ v6_altcat_1,
inference(cnfConj,[status(thm)],[279]) ).
thf(903,plain,
! [A: $i] :
( ( A != sk21 )
| ( k1_xboole_0 @ v6_altcat_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,286]) ).
thf(904,plain,
( ( k1_xboole_0 @ v6_altcat_1 )
| ~ ( sk21 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[903:[bind(A,$thf( sk21 ))]]) ).
thf(1994,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,904]) ).
thf(1995,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1994]) ).
thf(1996,plain,
( ( k1_xboole_0 @ v6_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1995:[bind(A,$thf( sk21 ))]]) ).
thf(1999,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,904]) ).
thf(2000,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1999]) ).
thf(2001,plain,
( ( k1_xboole_0 @ v6_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2000:[bind(A,$thf( sk21 ))]]) ).
thf(9564,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= sk27 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8283]) ).
thf(9565,plain,
( ( ( sk27 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= sk27 ) ),
inference(simp,[status(thm)],[9564]) ).
thf(9577,plain,
( ( sk27 != k1_xboole_0 )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= sk27 ) ),
inference(simp,[status(thm)],[9565]) ).
thf(148,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ m1_subset_1 ) )
| ~ ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[147]) ).
thf(264,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[263]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g2_functor0) ).
thf(159,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(160,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ l2_functor0 ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) )
& ( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ v9_functor0 ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ) ),
inference(cnf,[status(esa)],[159]) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ v9_functor0 ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[160]) ).
thf(23097,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[357,265]) ).
thf(23098,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ ( A @ ( A @ k11_functor0 @ l2_functor0 ) ) ) ),
inference(simp,[status(thm)],[23097]) ).
thf(23099,plain,
sk25 @ ( sk25 @ ( sk25 @ k11_functor0 @ l2_functor0 ) ),
inference(pattern_uni,[status(thm)],[23098:[bind(A,$thf( sk25 ))]]) ).
thf(81,axiom,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v1_altcat_2 )
& ( B @ v12_altcat_1 )
& ( B @ v2_altcat_1 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v21_functor0 ) ) )
=> ! [D: $i] :
( ( ( A @ ( B @ ( D @ l2_functor0 ) ) )
& ( A @ ( B @ ( D @ v8_functor0 ) ) ) )
=> ( ( ( D @ ( A @ ( B @ u2_functor0 ) ) @ ( D @ ( A @ ( B @ u1_functor0 ) ) @ ( A @ ( B @ g2_functor0 ) ) ) )
= ( C @ ( B @ ( A @ k15_functor0 ) ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( B @ k13_functor0 ) ) ) ) )
= ( B @ k12_functor0 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_functor1) ).
thf(412,plain,
! [A: $i] :
( ( ( A @ l2_altcat_1 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v1_altcat_2 )
& ( B @ v12_altcat_1 )
& ( B @ v2_altcat_1 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) ) )
=> ( ( B @ ( A @ ( C @ v21_functor0 ) ) )
=> ! [D: $i] :
( ( ( A @ ( B @ ( D @ l2_functor0 ) ) )
& ( A @ ( B @ ( D @ v8_functor0 ) ) ) )
=> ( ( ( D @ ( A @ ( B @ u2_functor0 ) ) @ ( D @ ( A @ ( B @ u1_functor0 ) ) @ ( A @ ( B @ g2_functor0 ) ) ) )
= ( C @ ( B @ ( A @ k15_functor0 ) ) ) )
=> ( ( C @ ( D @ ( B @ ( A @ ( B @ k13_functor0 ) ) ) ) )
= ( B @ k12_functor0 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(3881,plain,
( ( ( sk28 @ sk22 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,746]) ).
thf(3882,plain,
( ( ( sk28 @ sk22 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3881]) ).
thf(3890,plain,
( ( ( sk28 @ sk22 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[3882]) ).
thf(7008,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,6473]) ).
thf(7009,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7008]) ).
thf(7010,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk14 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7009:[bind(A,$thf( sk28 @ sk14 @ sk22 ))]]) ).
thf(6226,plain,
( ~ $true
| ( ( sk28 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[4000]) ).
thf(6228,plain,
( ( ( sk28 @ sk14 @ sk14 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6226]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_functor0) ).
thf(296,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v15_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( B @ v1_finset_1 )
& ( A @ v1_finset_1 ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( ( B @ v1_finset_1 )
& ( A @ v1_finset_1 ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2374,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1018]) ).
thf(2375,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v9_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2374]) ).
thf(2376,plain,
( ( k1_xboole_0 @ v9_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2375:[bind(A,$thf( sk21 ))]]) ).
thf(1629,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,836]) ).
thf(1630,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1629]) ).
thf(1631,plain,
( ( k1_xboole_0 @ v2_yellow21 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1630:[bind(A,$thf( sk21 ))]]) ).
thf(8151,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk25 @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[1078,7679]) ).
thf(8152,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk25 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[8151]) ).
thf(8217,plain,
( ( ( sk25 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk25 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[8152]) ).
thf(84,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_setfam_1) ).
thf(423,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(191,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[188]) ).
thf(22238,plain,
( ( ( sk26 @ sk16 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk26 @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[1078,22068]) ).
thf(22239,plain,
( ( ( sk26 @ sk16 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[22238]) ).
thf(22277,plain,
( ( ( sk26 @ sk16 )
!= k1_xboole_0 )
| ~ ( sk26 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[22239]) ).
thf(2014,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,906]) ).
thf(2015,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2014]) ).
thf(2016,plain,
( ( k1_xboole_0 @ v2_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2015:[bind(A,$thf( sk21 ))]]) ).
thf(22133,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ sk16 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,22117]) ).
thf(22134,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ sk16 @ v1_xboole_0 ) )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[22133]) ).
thf(22135,plain,
sk27 @ sk16 @ sk22 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[22134:[bind(A,$thf( sk27 @ sk16 ))]]) ).
thf(8162,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk25 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[7679,366]) ).
thf(8163,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk25 @ v3_struct_0 ) )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8162]) ).
thf(8212,plain,
( ( sk27 != sk25 )
| ~ ( sk25 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[8163]) ).
thf(8654,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk26 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7824]) ).
thf(8655,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk26 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8654]) ).
thf(8656,plain,
( ( sk27 != sk26 )
| ( sk26 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8655:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(69,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_functor0) ).
thf(350,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ v10_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(8599,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7819]) ).
thf(8600,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8599]) ).
thf(8601,plain,
( ( sk26 != sk9 )
| ( sk26 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8600:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(7793,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk26 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7691]) ).
thf(7794,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ ( sk26 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7793]) ).
thf(7795,plain,
( ~ ( sk26 @ l1_struct_0 )
| ( sk26 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7794:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(22154,plain,
! [A: $i] :
( ( A != sk27 )
| ( ( k1_xboole_0 @ sk16 )
!= k1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,22140]) ).
thf(22155,plain,
( ( ( k1_xboole_0 @ sk16 )
!= k1_xboole_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[22154:[bind(A,$thf( sk27 ))]]) ).
thf(7268,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,6837]) ).
thf(7269,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7268]) ).
thf(7270,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk14 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7269:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk14 ))]]) ).
thf(8317,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[8069,366]) ).
thf(8318,plain,
( ( ( sk27 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8317]) ).
thf(8376,plain,
( ( sk27 != sk9 )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8318]) ).
thf(1354,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1020]) ).
thf(1355,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1354]) ).
thf(1356,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1355:[bind(A,$thf( sk21 ))]]) ).
thf(5632,plain,
( ~ $true
| ( ( sk28 @ sk22 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3880]) ).
thf(5634,plain,
( ( ( sk28 @ sk22 @ sk14 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5632]) ).
thf(2227,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk18 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,926]) ).
thf(2228,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk18 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2227]) ).
thf(2229,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk18 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2228:[bind(A,$thf( sk18 ))]]) ).
thf(1892,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,854]) ).
thf(1893,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1892]) ).
thf(1894,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk26 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1893:[bind(A,$thf( sk26 ))]]) ).
thf(7808,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk26 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7691]) ).
thf(7809,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ ( sk26 @ l1_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7808]) ).
thf(7810,plain,
( ~ ( sk26 @ l1_struct_0 )
| ( sk26 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7809:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v8_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v8_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc20_functor0) ).
thf(419,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v8_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v8_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk15 ) @ v8_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[242]) ).
thf(86,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ( ( A @ k5_waybel34 @ l2_altcat_1 )
& ( A @ k5_waybel34 @ v2_yellow21 )
& ( A @ k5_waybel34 @ v12_altcat_1 )
& ( A @ k5_waybel34 @ v11_altcat_1 )
& ( A @ k5_waybel34 @ v6_altcat_1 )
& ( A @ k5_waybel34 @ v2_altcat_1 )
& ~ ( A @ k5_waybel34 @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
thf(431,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ( ( A @ k5_waybel34 @ l2_altcat_1 )
& ( A @ k5_waybel34 @ v2_yellow21 )
& ( A @ k5_waybel34 @ v12_altcat_1 )
& ( A @ k5_waybel34 @ v11_altcat_1 )
& ( A @ k5_waybel34 @ v6_altcat_1 )
& ( A @ k5_waybel34 @ v2_altcat_1 )
& ~ ( A @ k5_waybel34 @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(432,plain,
! [A: $i] :
( ( ( A @ k5_waybel34 @ l2_altcat_1 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k5_waybel34 @ v2_yellow21 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k5_waybel34 @ v12_altcat_1 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k5_waybel34 @ v11_altcat_1 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k5_waybel34 @ v6_altcat_1 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k5_waybel34 @ v2_altcat_1 )
| ( A @ v1_xboole_0 ) )
& ( ~ ( A @ k5_waybel34 @ v3_struct_0 )
| ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[431]) ).
thf(434,plain,
! [A: $i] :
( ( A @ k5_waybel34 @ v12_altcat_1 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[432]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v3_yellow21 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_yellow21 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow21) ).
thf(303,plain,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v3_yellow21 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_yellow21 )
& ( A @ v1_altcat_2 )
& ( A @ v12_altcat_1 )
& ( A @ v11_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(22260,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk25 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[661,22068]) ).
thf(22261,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk25 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22260]) ).
thf(22273,plain,
( ( sk26 != sk25 )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22261]) ).
thf(5868,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,2566]) ).
thf(5869,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5868]) ).
thf(5870,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_funct_1 )
| ( sk25 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[5869:[bind(A,$thf( sk25 ))]]) ).
thf(168,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[166]) ).
thf(172,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 )
| ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) ) ),
inference(lifteq,[status(thm)],[168]) ).
thf(22042,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[164,259]) ).
thf(22043,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ~ ( A @ sk16 @ v1_xboole_0 )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[22042]) ).
thf(22044,plain,
( ~ ( sk9 @ sk16 @ v1_xboole_0 )
| ( sk9 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[22043:[bind(A,$thf( sk9 ))]]) ).
thf(22397,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ sk16 @ v1_xboole_0 ) )
| ~ $true
| ( sk9 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,22044]) ).
thf(22398,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ sk16 @ v1_xboole_0 ) )
| ( sk9 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[22397]) ).
thf(22399,plain,
( ( sk9 @ v3_struct_0 )
| ( sk9 @ sk16 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[22398:[bind(A,$thf( sk9 @ sk16 ))]]) ).
thf(1348,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( sk32 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,924]) ).
thf(1349,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ~ ( sk32 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1348:[]]) ).
thf(2096,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[1484]) ).
thf(2097,plain,
( ( ( sk1 @ sk22 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2096]) ).
thf(1602,plain,
! [A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ( sk32 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1350]) ).
thf(1603,plain,
! [A: $i] :
( ( sk32 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1602:[]]) ).
thf(2297,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[1489]) ).
thf(2299,plain,
( ( ( sk1 @ sk22 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2297]) ).
thf(1569,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,788]) ).
thf(1570,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1569]) ).
thf(1571,plain,
( ( k1_xboole_0 @ v3_yellow18 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1570:[bind(A,$thf( sk21 ))]]) ).
thf(22118,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ sk16 @ v1_xboole_0 ) )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,22117]) ).
thf(22119,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ sk16 @ v1_xboole_0 ) )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[22118]) ).
thf(22120,plain,
sk27 @ sk16 @ sk14 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[22119:[bind(A,$thf( sk27 @ sk16 ))]]) ).
thf(92,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k15_functor0 ) ) )
= ( A @ k6_waybel34 ) )
& ( ( A @ k6_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k15_functor0 ) ) )
= ( A @ k7_waybel34 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
thf(477,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( ( A @ k7_waybel34 @ ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ k15_functor0 ) ) )
= ( A @ k6_waybel34 ) )
& ( ( A @ k6_waybel34 @ ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ k15_functor0 ) ) )
= ( A @ k7_waybel34 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(184,plain,
sk10 @ v1_funct_1,
inference(cnfConj,[status(thm)],[181]) ).
thf(1080,plain,
k1_xboole_0 @ v1_funct_1,
inference(rewrite,[status(thm)],[184,757]) ).
thf(7273,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,6837]) ).
thf(7274,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7273]) ).
thf(7275,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7274:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk14 ))]]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ l2_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k13_functor0) ).
thf(535,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ l2_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(10626,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7764]) ).
thf(10627,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk14 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10626]) ).
thf(10628,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk27 @ u1_struct_0 @ sk14 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10627:[bind(A,$thf( sk27 @ u1_struct_0 @ sk14 ))]]) ).
thf(93,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v11_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc18_functor0) ).
thf(483,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v11_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(1554,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,786]) ).
thf(1555,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1554]) ).
thf(1556,plain,
( ( k1_xboole_0 @ v2_yellow18 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1555:[bind(A,$thf( sk21 ))]]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ! [F: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
=> ( F @ v1_funcop_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_functor0) ).
thf(107,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( E @ m1_pboole ) )
& ( A @ ( D @ m1_pboole ) )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ! [F: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
=> ( F @ v1_funcop_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(108,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ v1_funcop_1 )
| ~ ( E @ ( D @ ( C @ ( B @ ( A @ ( F @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ ( E @ m1_pboole ) )
| ~ ( A @ ( D @ m1_pboole ) )
| ~ ( B @ ( A @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ ( A @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 ) ),
inference(cnf,[status(esa)],[107]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_finset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(345,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_finset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(6847,plain,
( ~ $true
| ( ( sk28 @ sk22 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[6488]) ).
thf(6849,plain,
( ( ( sk28 @ sk22 @ sk14 @ sk14 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6847]) ).
thf(8659,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk26 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7824]) ).
thf(8660,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk26 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8659]) ).
thf(8661,plain,
( ( sk27 != sk26 )
| ( sk26 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8660:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(5861,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,2553]) ).
thf(5862,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5861]) ).
thf(5863,plain,
( ( k1_xboole_0 @ u1_altcat_1 @ v1_relat_1 )
| ( sk25 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[5862:[bind(A,$thf( sk25 ))]]) ).
thf(7806,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk25 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[661,7691]) ).
thf(7807,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk25 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7806]) ).
thf(7820,plain,
( ( sk26 != sk25 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[7807]) ).
thf(7683,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ $true
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,1255]) ).
thf(7684,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk26 != k1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7683]) ).
thf(7685,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7684:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(240,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[236]) ).
thf(1323,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,737]) ).
thf(1324,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_yellow21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1323]) ).
thf(1325,plain,
( ( k1_xboole_0 @ v1_yellow21 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1324:[bind(A,$thf( sk21 ))]]) ).
thf(6566,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3122]) ).
thf(6567,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6566]) ).
thf(6568,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk14 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6567:[bind(A,$thf( sk1 @ sk14 @ sk14 @ sk14 ))]]) ).
thf(198,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[197]) ).
thf(99,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v21_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v16_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v14_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v12_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v11_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v9_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v8_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v6_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel34) ).
thf(521,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v21_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v16_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v14_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v12_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v11_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v9_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v8_functor0 ) ) )
& ( A @ k4_waybel34 @ ( A @ k5_waybel34 @ ( A @ k7_waybel34 @ v6_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(6253,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk22 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[2853]) ).
thf(6255,plain,
( ( ( sk1 @ sk22 @ sk22 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6253]) ).
thf(2363,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk4 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,940]) ).
thf(2364,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk4 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_funct_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2363]) ).
thf(2365,plain,
( ( k1_xboole_0 @ v2_funct_1 )
| ( sk4 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2364:[bind(A,$thf( sk4 ))]]) ).
thf(1632,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,836]) ).
thf(1633,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow21 ) ),
inference(simp,[status(thm)],[1632]) ).
thf(1643,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_yellow21 ) ),
inference(simp,[status(thm)],[1633]) ).
thf(223,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[220]) ).
thf(2242,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,934]) ).
thf(2243,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2242]) ).
thf(2244,plain,
( ( k1_xboole_0 @ v4_yellow18 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2243:[bind(A,$thf( sk21 ))]]) ).
thf(8674,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8128]) ).
thf(8675,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk21 != sk9 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8674]) ).
thf(8676,plain,
( ( sk21 != sk9 )
| ( sk9 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8675:[bind(A,$thf( sk9 @ u1_struct_0 ))]]) ).
thf(9095,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8212]) ).
thf(9096,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9095]) ).
thf(9097,plain,
( ( sk27 != sk25 )
| ( sk25 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9096:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(2237,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,934]) ).
thf(2238,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2237]) ).
thf(2239,plain,
( ( k1_xboole_0 @ v4_yellow18 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2238:[bind(A,$thf( sk21 ))]]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_funct_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(254,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_funct_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(255,plain,
! [A: $i] :
( ( A @ v1_funct_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[254]) ).
thf(2449,plain,
( ( ( sk1 @ sk14 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2448]) ).
thf(1081,plain,
! [B: $i,A: $i] :
( ~ ( k1_xboole_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(rewrite,[status(thm)],[641,757]) ).
thf(7716,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ $true
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,848]) ).
thf(7717,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ~ ( sk26 @ v1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7716]) ).
thf(7718,plain,
( ~ ( sk26 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7717:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) @ l2_functor0 ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[160]) ).
thf(100,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v12_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v12_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( B @ ( A @ ( D @ v6_functor0 ) ) )
& ( C @ l2_altcat_1 )
& ( C @ v12_altcat_1 )
& ~ ( C @ v3_struct_0 )
& ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v12_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc21_functor0) ).
thf(531,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v12_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v12_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( B @ ( A @ ( D @ v6_functor0 ) ) )
& ( C @ l2_altcat_1 )
& ( C @ v12_altcat_1 )
& ~ ( C @ v3_struct_0 )
& ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v12_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(94,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ v3_yellow21 )
& ( A @ k4_waybel34 @ v2_yellow21 )
& ( A @ k4_waybel34 @ v1_yellow21 )
& ( A @ k4_waybel34 @ v4_yellow18 )
& ( A @ k4_waybel34 @ v3_yellow18 )
& ( A @ k4_waybel34 @ v2_yellow18 )
& ( A @ k4_waybel34 @ v1_altcat_2 )
& ( A @ k4_waybel34 @ v12_altcat_1 )
& ( A @ k4_waybel34 @ v11_altcat_1 )
& ( A @ k4_waybel34 @ v9_altcat_1 )
& ( A @ k4_waybel34 @ v6_altcat_1 )
& ( A @ k4_waybel34 @ v2_altcat_1 )
& ~ ( A @ k4_waybel34 @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
thf(487,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k4_waybel34 @ v3_yellow21 )
& ( A @ k4_waybel34 @ v2_yellow21 )
& ( A @ k4_waybel34 @ v1_yellow21 )
& ( A @ k4_waybel34 @ v4_yellow18 )
& ( A @ k4_waybel34 @ v3_yellow18 )
& ( A @ k4_waybel34 @ v2_yellow18 )
& ( A @ k4_waybel34 @ v1_altcat_2 )
& ( A @ k4_waybel34 @ v12_altcat_1 )
& ( A @ k4_waybel34 @ v11_altcat_1 )
& ( A @ k4_waybel34 @ v9_altcat_1 )
& ( A @ k4_waybel34 @ v6_altcat_1 )
& ( A @ k4_waybel34 @ v2_altcat_1 )
& ~ ( A @ k4_waybel34 @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(97,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ~ ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
thf(516,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ~ ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(1549,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,786]) ).
thf(1550,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_yellow18 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1549]) ).
thf(1551,plain,
( ( k1_xboole_0 @ v2_yellow18 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1550:[bind(A,$thf( sk21 ))]]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ v1_finset_1 )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( B @ v1_finset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
thf(145,plain,
! [A: $i] :
( ( A @ v1_finset_1 )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( B @ v1_finset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2395,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1026]) ).
thf(2396,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2395]) ).
thf(2397,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2396:[bind(A,$thf( sk21 ))]]) ).
thf(150,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ v1_finset_1 )
| ~ ( B @ v1_finset_1 )
| ~ ( A @ v1_finset_1 ) ),
inference(cnf,[status(esa)],[149]) ).
thf(6595,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3127]) ).
thf(6596,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk14 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6595]) ).
thf(6597,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk14 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6596:[bind(A,$thf( sk1 @ sk14 @ sk14 @ sk22 ))]]) ).
thf(1564,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,788]) ).
thf(1565,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1564]) ).
thf(1566,plain,
( ( k1_xboole_0 @ v3_yellow18 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1565:[bind(A,$thf( sk21 ))]]) ).
thf(62,axiom,
! [A: $i] :
( ( ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( A @ ( B @ v10_functor0 ) ) )
& ( A @ ( A @ ( B @ v8_functor0 ) ) )
& ( A @ ( A @ ( B @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc11_functor0) ).
thf(327,plain,
! [A: $i] :
( ( ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( A @ ( B @ v10_functor0 ) ) )
& ( A @ ( A @ ( B @ v8_functor0 ) ) )
& ( A @ ( A @ ( B @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(9524,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8251]) ).
thf(9525,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk21 ) ),
inference(simp,[status(thm)],[9524]) ).
thf(9535,plain,
( ( ( sk21 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk27 != sk21 ) ),
inference(simp,[status(thm)],[9525]) ).
thf(2298,plain,
( ( ( sk1 @ sk22 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2297]) ).
thf(199,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[197]) ).
thf(2222,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk18 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,926]) ).
thf(2223,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk18 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2222]) ).
thf(2224,plain,
( ( k1_xboole_0 @ l2_altcat_1 )
| ( sk18 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2223:[bind(A,$thf( sk18 ))]]) ).
thf(370,plain,
sk28 @ v1_finset_1,
inference(cnfConj,[status(thm)],[368]) ).
thf(5910,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,2601]) ).
thf(5911,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk22 @ sk14 @ sk14 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5910]) ).
thf(5912,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk22 @ sk14 @ sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5911:[bind(A,$thf( sk1 @ sk22 @ sk14 @ sk14 ))]]) ).
thf(95,axiom,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v21_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v16_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v14_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v12_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v11_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v9_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v8_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v6_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
thf(502,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
=> ( ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v21_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v16_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v14_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v12_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v11_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v9_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v8_functor0 ) ) )
& ( A @ k5_waybel34 @ ( A @ k4_waybel34 @ ( A @ k6_waybel34 @ v6_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(258,plain,
! [A: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ~ ( A @ l1_struct_0 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[257]) ).
thf(21751,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[164,258]) ).
thf(21752,plain,
! [A: $i] :
( ( ( sk9 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[21751]) ).
thf(21753,plain,
( ( sk9 @ u1_struct_0 @ k1_zfmisc_1 @ ( sk9 @ sk16 @ m1_subset_1 ) )
| ( sk9 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[21752:[bind(A,$thf( sk9 ))]]) ).
thf(1647,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,840]) ).
thf(1648,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 ) ),
inference(simp,[status(thm)],[1647]) ).
thf(1658,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v1_altcat_2 ) ),
inference(simp,[status(thm)],[1648]) ).
thf(3094,plain,
! [B: $i,A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3077]) ).
thf(3095,plain,
! [B: $i,A: $i] :
( ~ ( k1_xboole_0 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3094:[]]) ).
thf(542,plain,
( ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k6_waybel34 )
!= ( sk1 @ k7_waybel34 ) )
| ( ( sk1 @ k6_waybel34 )
!= ( sk1 @ k7_waybel34 ) )
| ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(544,plain,
( ( ( sk1 @ k6_waybel34 )
!= ( sk1 @ k7_waybel34 ) )
| ( ( sk1 @ k4_waybel34 )
!= ( sk1 @ k5_waybel34 ) )
| ( ( sk1 @ k6_waybel34 @ ( sk1 @ k7_waybel34 @ ( sk1 @ k5_waybel34 @ ( sk1 @ k4_waybel34 @ ( sk1 @ k5_waybel34 @ k13_functor0 ) ) ) ) )
!= ( sk1 @ k5_waybel34 @ k12_functor0 ) ) ),
inference(simp,[status(thm)],[542]) ).
thf(8363,plain,
( ( ( sk21 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ~ $true
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[8069,287]) ).
thf(8364,plain,
( ( ( sk21 @ v3_struct_0 )
!= ( sk9 @ v3_struct_0 ) )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8363]) ).
thf(8377,plain,
( ( sk21 != sk9 )
| ( sk9 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8364]) ).
thf(9080,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8208]) ).
thf(9081,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9080]) ).
thf(9082,plain,
( ( sk26 != sk25 )
| ( sk25 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9081:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_functor2) ).
thf(338,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v12_functor0 ) ) )
& ( B @ ( A @ ( C @ v8_functor0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(1890,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,854]) ).
thf(1891,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[1890]) ).
thf(1901,plain,
( ( sk26 != k1_xboole_0 )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[1891]) ).
thf(9098,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8212]) ).
thf(9099,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 ) ),
inference(simp,[status(thm)],[9098]) ).
thf(9109,plain,
( ( ( sk25 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk27 != sk25 ) ),
inference(simp,[status(thm)],[9099]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u2_functor0 ) ) @ m1_functor0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_functor0) ).
thf(336,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ l2_functor0 ) ) )
& ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ ( A @ u1_functor0 ) ) @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ ( B @ ( A @ u2_functor0 ) ) @ m1_functor0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(154,plain,
sk7 @ v1_funct_1,
inference(cnfConj,[status(thm)],[152]) ).
thf(1351,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,1020]) ).
thf(1352,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1351]) ).
thf(1353,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ( sk21 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1352:[bind(A,$thf( sk21 ))]]) ).
thf(6773,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,5889]) ).
thf(6774,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6773]) ).
thf(6775,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[6774:[bind(A,$thf( sk28 @ sk22 @ sk22 ))]]) ).
thf(7486,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7051]) ).
thf(7487,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7486]) ).
thf(7488,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7487:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk22 ))]]) ).
thf(10672,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7781]) ).
thf(10673,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10672]) ).
thf(10674,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk27 @ u1_struct_0 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10673:[bind(A,$thf( sk27 @ u1_struct_0 @ sk22 ))]]) ).
thf(8073,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk9 @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[1078,7670]) ).
thf(8074,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk9 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[8073]) ).
thf(8140,plain,
( ( ( sk9 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk9 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[8074]) ).
thf(1614,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[195,140]) ).
thf(1615,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk11 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 ) ),
inference(simp,[status(thm)],[1614]) ).
thf(1616,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk11 @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[1615:[bind(A,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 )),bind(B,$thf( G )),bind(C,$thf( H )),bind(D,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk11 ))]]) ).
thf(1617,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk11 @ v1_relat_1 ),
inference(simp,[status(thm)],[1616]) ).
thf(1938,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1145]) ).
thf(1939,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1938]) ).
thf(1940,plain,
! [A: $i] :
( ~ ( A @ v2_setfam_1 )
| ~ ( sk1 @ v1_xboole_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1939:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(2069,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ( sk1 != k1_xboole_0 )
| ~ ( B @ v2_setfam_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,1153]) ).
thf(2070,plain,
! [B: $i,A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ( sk1 != k1_xboole_0 )
| ~ ( B @ v2_setfam_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2069]) ).
thf(2071,plain,
! [A: $i] :
( ( sk1 != k1_xboole_0 )
| ~ ( A @ v2_setfam_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2070:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(8687,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk9 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8138]) ).
thf(8688,plain,
( ( ( sk9 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk27 != sk9 ) ),
inference(simp,[status(thm)],[8687]) ).
thf(8698,plain,
( ( ( sk9 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk27 != sk9 ) ),
inference(simp,[status(thm)],[8688]) ).
thf(182,plain,
sk10 @ v1_relat_1,
inference(cnfConj,[status(thm)],[181]) ).
thf(1084,plain,
k1_xboole_0 @ v1_relat_1,
inference(rewrite,[status(thm)],[182,757]) ).
thf(6901,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk22 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3382]) ).
thf(6903,plain,
( ( ( sk1 @ sk14 @ sk22 @ sk22 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6901]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_functor0) ).
thf(319,plain,
! [A: $i,B: $i] :
( ( ( B @ l2_altcat_1 )
& ( B @ v12_altcat_1 )
& ~ ( B @ v3_struct_0 )
& ( A @ l2_altcat_1 )
& ( A @ v12_altcat_1 )
& ( A @ v2_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ m2_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v16_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(9100,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8212]) ).
thf(9101,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk25 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9100]) ).
thf(9102,plain,
( ( sk27 != sk25 )
| ( sk25 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9101:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(8290,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7756]) ).
thf(8291,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8290]) ).
thf(8292,plain,
( ( ( k1_xboole_0 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8291:[bind(A,$thf( sk27 ))]]) ).
thf(5897,plain,
( ~ $true
| ( ( sk28 @ sk22 @ sk22 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3885]) ).
thf(5899,plain,
( ( ( sk28 @ sk22 @ sk22 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5897]) ).
thf(186,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnf,[status(esa)],[185]) ).
thf(8604,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7819]) ).
thf(8605,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk9 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8604]) ).
thf(8606,plain,
( ( sk26 != sk9 )
| ( sk26 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8605:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(167,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) )
| ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[166]) ).
thf(171,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ u1_altcat_1 @ ( A @ u1_altcat_1 @ ( C @ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( D @ m1_functor0 ) ) ) ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ m1_relset_1 ) ) )
| ~ ( B @ u1_struct_0 @ ( B @ u1_struct_0 @ k2_zfmisc_1 ) @ ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ k2_zfmisc_1 ) @ ( C @ v1_funct_2 ) ) )
| ~ ( C @ v1_funct_1 )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 )
| ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ g2_functor0 ) ) ) )
!= ( H @ ( G @ ( F @ ( E @ g2_functor0 ) ) ) ) ) ),
inference(lifteq,[status(thm)],[167]) ).
thf(4001,plain,
( ( ( sk28 @ sk14 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,928]) ).
thf(4002,plain,
( ( ( sk28 @ sk14 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[4001]) ).
thf(4010,plain,
( ( ( sk28 @ sk14 )
!= k1_xboole_0 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[4002]) ).
thf(21739,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ~ $true
| ( A @ v3_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[365,258]) ).
thf(21740,plain,
! [A: $i] :
( ( ( sk27 @ l1_struct_0 )
!= ( A @ l1_struct_0 ) )
| ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( A @ sk16 @ m1_subset_1 ) )
| ( A @ v3_struct_0 ) ),
inference(simp,[status(thm)],[21739]) ).
thf(21741,plain,
( ( sk27 @ u1_struct_0 @ k1_zfmisc_1 @ ( sk27 @ sk16 @ m1_subset_1 ) )
| ( sk27 @ v3_struct_0 ) ),
inference(pattern_uni,[status(thm)],[21740:[bind(A,$thf( sk27 ))]]) ).
thf(21948,plain,
( ( sk27 @ u1_struct_0 @ k1_zfmisc_1 @ ( sk27 @ sk16 @ m1_subset_1 ) )
| $false ),
inference(rewrite,[status(thm)],[21741,366]) ).
thf(21949,plain,
sk27 @ u1_struct_0 @ k1_zfmisc_1 @ ( sk27 @ sk16 @ m1_subset_1 ),
inference(simp,[status(thm)],[21948]) ).
thf(6582,plain,
( ~ $true
| ( ( sk1 @ sk14 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[3122]) ).
thf(6584,plain,
( ( ( sk1 @ sk14 @ sk14 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6582]) ).
thf(1644,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,840]) ).
thf(1645,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1644]) ).
thf(1646,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1645:[bind(A,$thf( sk21 ))]]) ).
thf(1339,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk32 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,924]) ).
thf(1340,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk32 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1339]) ).
thf(1341,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( sk32 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1340:[bind(A,$thf( sk32 ))]]) ).
thf(2098,plain,
( ( ( sk1 @ sk22 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2096]) ).
thf(2240,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,934]) ).
thf(2241,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_yellow18 ) ),
inference(simp,[status(thm)],[2240]) ).
thf(2251,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v4_yellow18 ) ),
inference(simp,[status(thm)],[2241]) ).
thf(2024,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,910]) ).
thf(2025,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v12_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2024]) ).
thf(2026,plain,
( ( k1_xboole_0 @ v12_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2025:[bind(A,$thf( sk21 ))]]) ).
thf(8226,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true
| ~ ( sk21 @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[1078,7732]) ).
thf(8227,plain,
( ( ( sk21 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( sk21 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[8226]) ).
thf(8253,plain,
( ( ( sk21 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ ( sk21 @ l1_struct_0 ) ),
inference(simp,[status(thm)],[8227]) ).
thf(2039,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,916]) ).
thf(2040,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_altcat_2 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[2039]) ).
thf(2041,plain,
( ( k1_xboole_0 @ v1_altcat_2 )
| ( sk26 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[2040:[bind(A,$thf( sk26 ))]]) ).
thf(433,plain,
! [A: $i] :
( ( A @ k5_waybel34 @ v2_yellow21 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[432]) ).
thf(207,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ u2_functor0 ) ) @ v1_funcop_1 )
| ~ ( B @ ( A @ ( C @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[204]) ).
thf(1211,plain,
! [B: $i,A: $i] :
( ( k1_xboole_0 != k1_xboole_0 )
| ~ ( A @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,1083]) ).
thf(1212,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1211:[]]) ).
thf(1659,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,842]) ).
thf(1660,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1659]) ).
thf(1661,plain,
( ( k1_xboole_0 @ v11_altcat_1 )
| ( sk21 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1660:[bind(A,$thf( sk21 ))]]) ).
thf(1440,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,763]) ).
thf(1441,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[1440]) ).
thf(1442,plain,
( ( k1_xboole_0 @ l1_struct_0 )
| ( sk27 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[1441:[bind(A,$thf( sk27 ))]]) ).
thf(246,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk15 ) @ l2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[242]) ).
thf(1074,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_pboole ) )
!= ( B @ ( C @ m1_pboole ) ) )
| ( C @ v1_funct_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[131,122]) ).
thf(1075,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_pboole ) )
!= ( B @ ( C @ m1_pboole ) ) )
| ( C @ v1_funct_1 ) ),
inference(simp,[status(thm)],[1074]) ).
thf(1076,plain,
! [A: $i] : ( A @ sk6 @ v1_funct_1 ),
inference(pattern_uni,[status(thm)],[1075:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ sk6 ))]]) ).
thf(1077,plain,
! [A: $i] : ( A @ sk6 @ v1_funct_1 ),
inference(simp,[status(thm)],[1076]) ).
thf(22138,plain,
! [A: $i] :
( ( A != sk27 )
| ~ ( k1_xboole_0 @ sk16 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,22117]) ).
thf(22139,plain,
( ~ ( k1_xboole_0 @ sk16 @ v1_xboole_0 )
| ~ ( sk27 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[22138:[bind(A,$thf( sk27 ))]]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_functor0) ).
thf(272,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_altcat_1 )
& ( A @ l1_altcat_1 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v11_functor0 ) ) )
& ( B @ ( A @ ( C @ l2_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l1_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v10_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_functor0) ).
thf(315,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l1_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v10_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(1567,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,788]) ).
thf(1568,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_yellow18 ) ),
inference(simp,[status(thm)],[1567]) ).
thf(1578,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v3_yellow18 ) ),
inference(simp,[status(thm)],[1568]) ).
thf(146,plain,
! [B: $i,A: $i] :
( ( B @ v1_finset_1 )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v1_finset_1 ) ),
inference(cnf,[status(esa)],[145]) ).
thf(9521,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk21 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,8251]) ).
thf(9522,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk21 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk27 != sk21 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9521]) ).
thf(9523,plain,
( ( sk27 != sk21 )
| ( sk21 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9522:[bind(A,$thf( sk21 @ u1_struct_0 ))]]) ).
thf(1662,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,842]) ).
thf(1663,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v11_altcat_1 ) ),
inference(simp,[status(thm)],[1662]) ).
thf(1673,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v11_altcat_1 ) ),
inference(simp,[status(thm)],[1663]) ).
thf(5924,plain,
( ~ $true
| ( ( sk1 @ sk22 @ sk14 @ sk14 @ v1_finset_1 )
!= ( k1_xboole_0 @ v1_finset_1 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(eqfactor_ordered,[status(thm)],[2601]) ).
thf(5926,plain,
( ( ( sk1 @ sk22 @ sk14 @ sk14 )
!= k1_xboole_0 )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[5924]) ).
thf(8619,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7820]) ).
thf(8620,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8619]) ).
thf(8621,plain,
( ( sk26 != sk25 )
| ( sk26 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8620:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(1997,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,904]) ).
thf(1998,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v6_altcat_1 ) ),
inference(simp,[status(thm)],[1997]) ).
thf(2008,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ v6_altcat_1 ) ),
inference(simp,[status(thm)],[1998]) ).
thf(190,plain,
! [A: $i] :
( ( A @ ( A @ ( A @ k11_functor0 @ v8_functor0 ) ) )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[188]) ).
thf(8614,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7820]) ).
thf(8615,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk26 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8614]) ).
thf(8616,plain,
( ( sk26 != sk25 )
| ( sk26 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8615:[bind(A,$thf( sk26 @ u1_struct_0 ))]]) ).
thf(210,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( A @ ( B @ sk12 ) @ l2_functor0 ) ) )
| ~ ( B @ l1_altcat_1 )
| ~ ( A @ l1_altcat_1 ) ),
inference(cnfConj,[status(thm)],[209]) ).
thf(239,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v12_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v13_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v10_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[236]) ).
thf(8629,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[365,7821]) ).
thf(8630,plain,
( ( ( sk27 @ l1_struct_0 )
!= ( sk26 @ l1_struct_0 ) )
| ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[8629]) ).
thf(8653,plain,
( ( sk27 != sk26 )
| ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 ) ),
inference(simp,[status(thm)],[8630]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( A @ l1_altcat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
thf(268,plain,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( A @ l1_altcat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(8266,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7750]) ).
thf(8267,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8266]) ).
thf(8268,plain,
( ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ( sk27 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8267:[bind(A,$thf( sk27 ))]]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l1_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v11_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_functor0) ).
thf(294,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_struct_0 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_struct_0 ) )
=> ! [C: $i] :
( ( B @ ( A @ ( C @ l1_functor0 ) ) )
=> ( ( B @ ( A @ ( C @ v11_functor0 ) ) )
=> ( B @ ( A @ ( C @ v6_functor0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(126,plain,
sk4 @ v1_funct_1,
inference(cnfConj,[status(thm)],[124]) ).
thf(136,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ u1_functor0 ) ) @ v1_funct_1 )
| ~ ( B @ ( A @ ( C @ l1_functor0 ) ) )
| ~ ( B @ l1_struct_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(cnfConj,[status(thm)],[135]) ).
thf(2393,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,1026]) ).
thf(2394,plain,
( ( ( sk21 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[2393]) ).
thf(2404,plain,
( ( sk21 != k1_xboole_0 )
| ( k1_xboole_0 @ l2_altcat_1 ) ),
inference(simp,[status(thm)],[2394]) ).
thf(6887,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,3382]) ).
thf(6888,plain,
! [A: $i] :
( ( A
!= ( sk1 @ sk14 @ sk22 @ sk22 ) )
| ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[6887]) ).
thf(6889,plain,
( ~ ( k1_xboole_0 @ v2_setfam_1 )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ ( sk1 @ sk14 @ sk22 @ sk22 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[6888:[bind(A,$thf( sk1 @ sk14 @ sk22 @ sk22 ))]]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v10_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc16_functor0) ).
thf(415,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v10_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_altcat_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_functor0) ).
thf(332,plain,
! [A: $i] :
( ( A @ l2_altcat_1 )
=> ( ( ( A @ v12_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_altcat_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v11_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc17_functor0) ).
thf(427,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( E @ l2_functor0 ) ) )
& ( C @ ( B @ ( E @ v10_functor0 ) ) )
& ( B @ ( A @ ( D @ l2_functor0 ) ) )
& ( B @ ( A @ ( D @ v11_functor0 ) ) )
& ( B @ ( A @ ( D @ v8_functor0 ) ) )
& ( C @ l1_altcat_1 )
& ( C @ v1_altcat_2 )
& ~ ( C @ v3_struct_0 )
& ( B @ l1_altcat_1 )
& ( B @ v1_altcat_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_altcat_1 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v11_functor0 ) ) )
& ( C @ ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ k13_functor0 ) ) ) ) @ v9_functor0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(9113,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,8215]) ).
thf(9114,plain,
( ( ( sk25 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk25 != sk21 ) ),
inference(simp,[status(thm)],[9113]) ).
thf(9124,plain,
( ( ( sk25 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk25 != sk21 ) ),
inference(simp,[status(thm)],[9114]) ).
thf(7491,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,7051]) ).
thf(7492,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk28 @ sk22 @ sk14 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[7491]) ).
thf(7493,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk28 @ sk22 @ sk14 @ sk22 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[7492:[bind(A,$thf( sk28 @ sk22 @ sk14 @ sk22 ))]]) ).
thf(8145,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ~ $true
| ( sk25 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7679]) ).
thf(8146,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk25 @ v3_struct_0 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[8145]) ).
thf(8147,plain,
( ( sk25 @ v3_struct_0 )
| ( sk25 @ u1_struct_0 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[8146:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(7692,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ $true
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(paramod_ordered,[status(thm)],[213,1365]) ).
thf(7693,plain,
! [A: $i] :
( ( ( A @ v3_struct_0 )
!= ( k1_xboole_0 @ v3_struct_0 ) )
| ( sk21 != k1_xboole_0 )
| ~ ( A @ u1_struct_0 @ v1_xboole_0 )
| ~ ( A @ l1_struct_0 ) ),
inference(simp,[status(thm)],[7692]) ).
thf(7694,plain,
( ( sk21 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ u1_struct_0 @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ l1_struct_0 ) ),
inference(pattern_uni,[status(thm)],[7693:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(200,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v14_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v16_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[197]) ).
thf(22835,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[357,264]) ).
thf(22836,plain,
! [A: $i] :
( ( ( sk25 @ l1_altcat_1 )
!= ( A @ l1_altcat_1 ) )
| ( A @ ( A @ ( A @ k11_functor0 @ v9_functor0 ) ) ) ),
inference(simp,[status(thm)],[22835]) ).
thf(22837,plain,
sk25 @ ( sk25 @ ( sk25 @ k11_functor0 @ v9_functor0 ) ),
inference(pattern_uni,[status(thm)],[22836:[bind(A,$thf( sk25 ))]]) ).
thf(9085,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,8208]) ).
thf(9086,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk25 @ u1_struct_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[9085]) ).
thf(9087,plain,
( ( sk26 != sk25 )
| ( sk25 @ u1_struct_0 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[9086:[bind(A,$thf( sk25 @ u1_struct_0 ))]]) ).
thf(222,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ v6_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ v15_functor0 ) ) )
| ~ ( B @ ( A @ ( C @ m2_functor0 ) ) )
| ~ ( B @ l2_altcat_1 )
| ~ ( B @ v12_altcat_1 )
| ( B @ v3_struct_0 )
| ~ ( A @ l2_altcat_1 )
| ~ ( A @ v12_altcat_1 )
| ~ ( A @ v2_altcat_1 )
| ( A @ v3_struct_0 ) ),
inference(cnfConj,[status(thm)],[220]) ).
thf(758,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( C @ k1_zfmisc_1 ) )
| ~ ( C @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ sk11 @ ( B @ r2_hidden ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[218,645]) ).
thf(759,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ ( B @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[758:[bind(A,$thf( D @ k1_zfmisc_1 )),bind(B,$thf( B )),bind(C,$thf( D ))]]) ).
thf(1069,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( k1_xboole_0 @ sk11 @ ( A @ r2_hidden ) )
| ~ ( B @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[759]) ).
thf(22434,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ sk16 @ v1_xboole_0 ) )
| ~ $true
| ( sk9 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[302,22044]) ).
thf(22435,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk9 @ sk16 @ v1_xboole_0 ) )
| ( sk9 @ v3_struct_0 )
| ( A @ sk22 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[22434]) ).
thf(22436,plain,
( ( sk9 @ v3_struct_0 )
| ( sk9 @ sk16 @ sk22 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[22435:[bind(A,$thf( sk9 @ sk16 ))]]) ).
thf(22242,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[164,22068]) ).
thf(22243,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( sk9 @ l1_struct_0 ) )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22242]) ).
thf(22276,plain,
( ( sk26 != sk9 )
| ~ ( sk26 @ sk16 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[22243]) ).
thf(7800,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ~ $true
| ( sk25 != k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[1871,7691]) ).
thf(7801,plain,
( ( ( sk26 @ l1_struct_0 )
!= ( k1_xboole_0 @ l1_struct_0 ) )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk25 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7800]) ).
thf(7823,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( sk26 @ u1_struct_0 @ v1_xboole_0 )
| ( sk25 != k1_xboole_0 ) ),
inference(simp,[status(thm)],[7801]) ).
thf(10667,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ~ $true
| ( A @ sk14 @ v1_finset_1 ) ),
inference(paramod_ordered,[status(thm)],[234,7781]) ).
thf(10668,plain,
! [A: $i] :
( ( ( A @ v1_xboole_0 )
!= ( sk27 @ u1_struct_0 @ sk22 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_finset_1 )
| ( A @ sk14 @ v1_finset_1 ) ),
inference(simp,[status(thm)],[10667]) ).
thf(10669,plain,
( ( k1_xboole_0 @ v1_finset_1 )
| ( sk27 @ u1_struct_0 @ sk22 @ sk14 @ v1_finset_1 ) ),
inference(pattern_uni,[status(thm)],[10668:[bind(A,$thf( sk27 @ u1_struct_0 @ sk22 ))]]) ).
thf(232,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk14 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[231]) ).
thf(8617,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1078,7820]) ).
thf(8618,plain,
( ( ( sk26 @ u1_struct_0 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk26 != sk25 ) ),
inference(simp,[status(thm)],[8617]) ).
thf(8628,plain,
( ( ( sk26 @ u1_struct_0 )
!= k1_xboole_0 )
| ( sk26 != sk25 ) ),
inference(simp,[status(thm)],[8618]) ).
thf(29039,plain,
$false,
inference(e,[status(thm)],[645,1322,1586,1879,4005,7691,347,8114,8283,518,1083,234,365,138,1454,2031,7673,846,628,249,2077,8129,1596,276,2381,3377,247,440,7781,202,3382,5878,3098,1078,8101,1137,9127,1756,142,472,1260,6241,153,1222,1735,7824,22140,185,2046,288,6483,3880,174,404,1243,6268,8133,11146,11151,1703,1228,1254,5953,7825,7822,1871,110,8069,8208,157,125,344,8374,934,357,196,1462,5866,189,6611,284,228,289,2388,261,2373,606,6983,1489,924,2324,9520,321,2236,106,238,121,1020,1581,8109,216,164,8284,179,1450,10623,443,376,7818,253,1334,211,147,397,280,221,1886,132,133,8691,2392,206,8774,634,1447,293,116,243,7051,265,292,248,512,270,1153,1338,8613,9009,7005,1868,1636,6282,1651,2011,3097,233,452,5875,117,8302,661,7814,201,1783,366,10639,102,1274,910,746,2601,8168,778,260,1666,2606,8081,165,1255,302,192,407,788,137,8683,5937,7063,852,1951,665,22117,9132,1079,757,5858,8287,8104,842,916,467,2464,229,361,1365,285,224,8238,156,8223,388,5889,22056,141,6780,8138,6218,7750,1350,3122,317,1498,10644,1719,356,2858,7101,225,2323,9508,8251,193,22274,8258,2455,2053,8132,6837,2038,1889,212,109,256,6862,9117,1082,2023,7821,9513,2450,8072,173,129,1874,8090,1720,2370,2285,393,1266,1231,7738,6876,2566,9112,2482,1246,371,6988,244,205,311,541,1563,1026,22068,22109,926,134,8127,128,237,266,8247,9094,360,9139,586,1996,298,2001,1146,1680,9577,148,264,161,7785,23099,906,8215,412,3890,7010,6228,180,296,149,2376,1631,733,8217,423,7751,291,118,281,259,4000,904,6493,191,286,8139,22277,2016,2514,1239,22135,8212,8656,350,159,8601,7795,22155,7270,3077,8249,144,7746,8376,1356,5634,7741,406,219,2229,2084,1894,7810,419,1589,230,362,245,737,434,303,208,22273,5870,187,172,22399,1349,2097,1603,2299,1571,22120,477,1080,7275,535,10628,483,1556,108,1471,7768,345,367,6849,8661,5863,7820,140,7685,213,848,520,240,1325,2553,155,6568,198,521,6255,130,2365,278,1643,223,2244,8676,267,431,241,1694,658,226,1364,9097,2239,255,2449,1081,7718,162,531,1134,487,617,516,7679,342,123,1145,1018,836,1551,194,145,2397,282,150,6597,1566,327,9535,8128,2298,5624,1484,7756,199,2224,370,5912,502,840,21753,3127,1658,3095,544,8377,3885,127,9082,338,1901,9109,336,154,1353,175,143,6775,2543,7488,10674,8140,1240,1617,1940,250,1459,203,2310,218,104,844,2071,8698,1084,363,7764,7670,6903,319,9102,8292,258,158,5899,186,8606,171,139,4010,786,21949,6584,1646,7732,1341,2098,2853,2251,2026,114,1689,8253,2041,433,207,1212,1661,1442,290,119,235,246,1077,22139,763,272,214,287,151,315,1578,262,146,9523,1673,790,5926,8621,2008,854,190,8616,210,107,239,8653,268,195,8268,283,294,126,136,358,6488,2404,6889,7819,928,415,332,1268,427,6473,9124,7493,131,22044,8147,7694,369,163,200,111,254,122,940,22837,2436,215,9087,222,1069,972,22436,22276,7823,10669,232,8628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT361+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/5.41 % Computer : n014.cluster.edu
% 0.15/5.41 % Model : x86_64 x86_64
% 0.15/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.41 % Memory : 8046.5625MB
% 0.15/5.41 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Fri Sep 25 21:19:53 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.18/6.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.90/6.31 % [INFO] Parsing done (308ms).
% 1.90/6.32 % [INFO] Running in sequential loop mode.
% 2.60/6.72 % [INFO] eprover registered as external prover.
% 2.60/6.72 % [INFO] Scanning for conjecture ...
% 2.77/6.88 % [INFO] Found a conjecture (or negated_conjecture) and 136 axioms. Running axiom selection ...
% 2.96/7.01 % [INFO] Axiom selection finished. Selected 99 axioms (removed 37 axioms).
% 3.65/7.19 % [INFO] Problem is first-order (TPTP FOF).
% 3.78/7.21 % [INFO] Type checking passed.
% 3.78/7.21 % [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 ...
% 90.95/28.02 % External prover 'e' found a proof!
% 90.95/28.03 % [INFO] Killing All external provers ...
% 90.95/28.03 % Time passed: 22473ms (effective reasoning time: 21698ms)
% 90.95/28.03 % 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)>
% 91.71/28.03 % 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
% 91.71/28.03 % No. of inferences in proof: 1402
% 91.71/28.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 22473 ms resp. 21698 ms w/o parsing
% 89.85/28.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 89.85/28.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------