%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT370+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 : n015.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 07:47:33 AM UTC 2026
% Result : Theorem 132.38s 37.15s
% Output : Refutation 133.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 148
% Syntax : Number of formulae : 896 ( 254 unt; 0 typ; 19 def)
% Number of atoms : 4120 ( 356 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 14016 (1000 ~; 651 |;1783 &;10213 @)
% ( 3 <=>; 366 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 89 ( 86 usr; 17 con; 0-3 aty)
% Number of variables : 2570 ( 7 ^;2477 !; 67 ?;2570 :)
% ( 0 !>; 0 ?*; 0 @-; 19 @+)
% Comments :
%------------------------------------------------------------------------------
thf(v2_orders_2_decl,type,
v2_orders_2: $i > $o ).
thf(v3_orders_2_decl,type,
v3_orders_2: $i > $o ).
thf(v4_orders_2_decl,type,
v4_orders_2: $i > $o ).
thf(v1_lattice3_decl,type,
v1_lattice3: $i > $o ).
thf(v2_lattice3_decl,type,
v2_lattice3: $i > $o ).
thf(v3_lattice3_decl,type,
v3_lattice3: $i > $o ).
thf(v3_waybel_3_decl,type,
v3_waybel_3: $i > $o ).
thf(l1_orders_2_decl,type,
l1_orders_2: $i > $o ).
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(u1_struct_0_decl,type,
u1_struct_0: $i > $i ).
thf(v7_waybel_1_decl,type,
v7_waybel_1: $i > $i > $o ).
thf(m2_relset_1_decl,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v1_waybel34_decl,type,
v1_waybel34: $i > $i > $i > $o ).
thf(k2_waybel_1_decl,type,
k2_waybel_1: $i > $i > $i > $i ).
thf(k2_yellow_2_decl,type,
k2_yellow_2: $i > $i > $i > $i ).
thf(v4_waybel_0_decl,type,
v4_waybel_0: $i > $i > $o ).
thf(v3_membered_decl,type,
v3_membered: $i > $o ).
thf(v2_membered_decl,type,
v2_membered: $i > $o ).
thf(r2_hidden_decl,type,
r2_hidden: $i > $i > $o ).
thf(m1_subset_1_decl,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_decl,type,
k1_zfmisc_1: $i > $i ).
thf(v1_membered_decl,type,
v1_membered: $i > $o ).
thf(r1_tarski_decl,type,
r1_tarski: $i > $i > $o ).
thf(v1_xboole_0_decl,type,
v1_xboole_0: $i > $o ).
thf(m1_relset_1_decl,type,
m1_relset_1: $i > $i > $i > $o ).
thf(g1_orders_2_decl,type,
g1_orders_2: $i > $i > $i ).
thf(v1_relat_1_decl,type,
v1_relat_1: $i > $o ).
thf(k8_relat_1_decl,type,
k8_relat_1: $i > $i > $i ).
thf(l1_struct_0_decl,type,
l1_struct_0: $i > $o ).
thf(v1_finset_1_decl,type,
v1_finset_1: $i > $o ).
thf(k2_zfmisc_1_decl,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k1_xboole_0_decl,type,
k1_xboole_0: $i ).
thf(v3_struct_0_decl,type,
v3_struct_0: $i > $o ).
thf(v1_orders_2_decl,type,
v1_orders_2: $i > $o ).
thf(u1_orders_2_decl,type,
u1_orders_2: $i > $i ).
thf(m1_yellow_0_decl,type,
m1_yellow_0: $i > $i > $o ).
thf(v7_yellow_0_decl,type,
v7_yellow_0: $i > $i > $o ).
thf(v18_waybel_0_decl,type,
v18_waybel_0: $i > $i > $i > $o ).
thf(k2_waybel34_decl,type,
k2_waybel34: $i > $i > $i > $i ).
thf(v1_partfun1_decl,type,
v1_partfun1: $i > $i > $i > $o ).
thf(v17_waybel_0_decl,type,
v17_waybel_0: $i > $i > $i > $o ).
thf(v19_waybel_0_decl,type,
v19_waybel_0: $i > $i > $i > $o ).
thf(v21_waybel_0_decl,type,
v21_waybel_0: $i > $i > $i > $o ).
thf(v4_waybel_1_decl,type,
v4_waybel_1: $i > $i > $i > $o ).
thf(v5_orders_3_decl,type,
v5_orders_3: $i > $i > $i > $o ).
thf(v6_waybel_1_decl,type,
v6_waybel_1: $i > $i > $o ).
thf(v11_quantal1_decl,type,
v11_quantal1: $i > $o ).
thf(k1_waybel34_decl,type,
k1_waybel34: $i > $i > $i > $i ).
thf(v20_waybel_0_decl,type,
v20_waybel_0: $i > $i > $i > $o ).
thf(v22_waybel_0_decl,type,
v22_waybel_0: $i > $i > $i > $o ).
thf(v2_yellow_0_decl,type,
v2_yellow_0: $i > $o ).
thf(v24_waybel_0_decl,type,
v24_waybel_0: $i > $o ).
thf(v25_waybel_0_decl,type,
v25_waybel_0: $i > $o ).
thf(v1_yellow_0_decl,type,
v1_yellow_0: $i > $o ).
thf(v3_yellow_0_decl,type,
v3_yellow_0: $i > $o ).
thf(v4_yellow_0_decl,type,
v4_yellow_0: $i > $i > $o ).
thf(k7_grcat_1_decl,type,
k7_grcat_1: $i > $i ).
thf(v23_waybel_0_decl,type,
v23_waybel_0: $i > $i > $i > $o ).
thf(v2_funct_1_decl,type,
v2_funct_1: $i > $o ).
thf(v8_waybel_1_decl,type,
v8_waybel_1: $i > $i > $o ).
thf(v5_yellow_0_decl,type,
v5_yellow_0: $i > $i > $o ).
thf(v3_waybel_0_decl,type,
v3_waybel_0: $i > $i > $o ).
thf(v2_waybel_3_decl,type,
v2_waybel_3: $i > $o ).
thf(v5_waybel_1_decl,type,
v5_waybel_1: $i > $i > $i > $o ).
thf(k3_waybel_1_decl,type,
k3_waybel_1: $i > $i > $i > $i ).
thf(v2_funct_2_decl,type,
v2_funct_2: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i > $i > $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i > $i ).
thf(sk6_decl,type,
sk6: $i > $i ).
thf(sk7_decl,type,
sk7: $i > $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk12_decl,type,
sk12: $i ).
thf(sk14_decl,type,
sk14: $i ).
thf(sk15_decl,type,
sk15: $i > $i > $i ).
thf(sk20_decl,type,
sk20: $i ).
thf(sk25_decl,type,
sk25: $i ).
thf(sk26_decl,type,
sk26: $i ).
thf(sk27_decl,type,
sk27: $i ).
thf(sk29_decl,type,
sk29: $i ).
thf(sk31_decl,type,
sk31: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( ( A @ l1_orders_2 )
& ( A @ v3_waybel_3 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( ( ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( A @ m2_relset_1 ) ) )
& ( sk1 @ ( A @ v7_waybel_1 ) )
& ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( A @ v1_funct_2 ) ) )
& ( A @ v1_funct_1 ) )
=> ( ( A @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( A @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
=> ( sk1 @ ( A @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ m1_relset_1 ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] : ( A @ l1_struct_0 ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] : ( A @ ( B @ m1_subset_1 ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ v1_finset_1 )
& ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: $i] : ( A @ l1_orders_2 ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ m2_relset_1 ) ) ) ) ) ).
thf(sk20_def,definition,
( sk20
= ( @+[A: $i] :
( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( @+[A: $i] :
( ( A @ v3_waybel_3 )
& ( A @ v2_waybel_3 )
& ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ) ) ) ).
thf(sk26_def,definition,
( sk26
= ( @+[A: $i] :
( ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( @+[A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( @+[A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk31_def,definition,
( sk31
= ( @+[A: $i] :
( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(90,axiom,
? [A: $i] :
( ( A @ v3_waybel_3 )
& ( A @ v2_waybel_3 )
& ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_3) ).
thf(645,plain,
? [A: $i] :
( ( A @ v3_waybel_3 )
& ( A @ v2_waybel_3 )
& ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(108,axiom,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(755,plain,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(756,plain,
( ( sk27 @ v1_funct_1 )
& ( sk27 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[755]) ).
thf(757,plain,
sk27 @ v1_relat_1,
inference(cnfConj,[status(thm)],[756]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ v1_relat_1 )
=> ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
thf(178,plain,
! [A: $i,B: $i] :
( ( B @ v1_relat_1 )
=> ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(179,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
| ~ ( B @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[178]) ).
thf(2447,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[757,179]) ).
thf(2448,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2447]) ).
thf(2449,plain,
! [A: $i] : ( sk27 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2448:[bind(A,$thf( A )),bind(B,$thf( sk27 ))]]) ).
thf(2487,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2449,179]) ).
thf(2488,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2487]) ).
thf(2489,plain,
! [B: $i,A: $i] : ( sk27 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2488:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( sk27 @ ( D @ k8_relat_1 ) ))]]) ).
thf(2505,plain,
! [B: $i,A: $i] : ( sk27 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2489]) ).
thf(2603,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2505,179]) ).
thf(2604,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2603]) ).
thf(2605,plain,
! [C: $i,B: $i,A: $i] : ( sk27 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2604:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( sk27 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).
thf(2630,plain,
! [C: $i,B: $i,A: $i] : ( sk27 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2605]) ).
thf(34,axiom,
? [A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
thf(249,plain,
? [A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(116,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(806,plain,
? [A: $i] :
( ( A @ v1_funct_1 )
& ( A @ v1_xboole_0 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(807,plain,
( ( sk29 @ v1_funct_1 )
& ( sk29 @ v1_xboole_0 )
& ( sk29 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[806]) ).
thf(808,plain,
sk29 @ v1_relat_1,
inference(cnfConj,[status(thm)],[807]) ).
thf(809,plain,
sk29 @ v1_xboole_0,
inference(cnfConj,[status(thm)],[807]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(201,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(202,plain,
! [A: $i] :
( ( A = k1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[201]) ).
thf(203,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
| ( A = k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[202]) ).
thf(1040,plain,
! [A: $i] :
( ( ( sk29 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ~ $true
| ( A = k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[809,203]) ).
thf(1041,plain,
! [A: $i] :
( ( ( sk29 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A = k1_xboole_0 ) ),
inference(simp,[status(thm)],[1040]) ).
thf(1042,plain,
sk29 = k1_xboole_0,
inference(pattern_uni,[status(thm)],[1041:[bind(A,$thf( sk29 ))]]) ).
thf(1310,plain,
k1_xboole_0 @ v1_relat_1,
inference(rewrite,[status(thm)],[808,1042]) ).
thf(2441,plain,
! [B: $i,A: $i] :
( ( ( k1_xboole_0 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1310,179]) ).
thf(2442,plain,
! [B: $i,A: $i] :
( ( ( k1_xboole_0 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2441]) ).
thf(2443,plain,
! [A: $i] : ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2442:[bind(A,$thf( A )),bind(B,$thf( k1_xboole_0 ))]]) ).
thf(2463,plain,
! [C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2443,179]) ).
thf(2464,plain,
! [C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2463]) ).
thf(2465,plain,
! [B: $i,A: $i] : ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2464:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( k1_xboole_0 @ ( D @ k8_relat_1 ) ))]]) ).
thf(2480,plain,
! [B: $i,A: $i] : ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2465]) ).
thf(31,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v4_orders_2 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel_8) ).
thf(231,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v4_orders_2 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(232,plain,
! [A: $i] :
( ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
| ~ ( A @ l1_orders_2 )
| ~ ( A @ v4_orders_2 ) )
& ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
| ~ ( A @ l1_orders_2 )
| ~ ( A @ v4_orders_2 ) ) ),
inference(cnf,[status(esa)],[231]) ).
thf(234,plain,
! [A: $i] :
( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v4_orders_2 )
| ~ ( A @ l1_orders_2 )
| ~ ( A @ v4_orders_2 ) ),
inference(cnfConj,[status(thm)],[232]) ).
thf(79,axiom,
? [A: $i] :
( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
thf(551,plain,
? [A: $i] :
( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(552,plain,
( ( sk20 @ v25_waybel_0 )
& ( sk20 @ v24_waybel_0 )
& ( sk20 @ v3_yellow_0 )
& ( sk20 @ v2_yellow_0 )
& ( sk20 @ v1_yellow_0 )
& ( sk20 @ v3_lattice3 )
& ( sk20 @ v2_lattice3 )
& ( sk20 @ v1_lattice3 )
& ( sk20 @ v4_orders_2 )
& ( sk20 @ v3_orders_2 )
& ( sk20 @ v2_orders_2 )
& ( sk20 @ v1_orders_2 )
& ~ ( sk20 @ v3_struct_0 )
& ( sk20 @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[551]) ).
thf(555,plain,
sk20 @ v3_orders_2,
inference(cnfConj,[status(thm)],[552]) ).
thf(91,axiom,
? [A: $i] :
( ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
thf(663,plain,
? [A: $i] :
( ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(664,plain,
( ( sk26 @ v3_yellow_0 )
& ( sk26 @ v2_yellow_0 )
& ( sk26 @ v1_yellow_0 )
& ( sk26 @ v3_lattice3 )
& ( sk26 @ v2_lattice3 )
& ( sk26 @ v1_lattice3 )
& ( sk26 @ v4_orders_2 )
& ( sk26 @ v3_orders_2 )
& ( sk26 @ v2_orders_2 )
& ~ ( sk26 @ v3_struct_0 )
& ( sk26 @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[663]) ).
thf(666,plain,
sk26 @ v1_yellow_0,
inference(cnfConj,[status(thm)],[664]) ).
thf(87,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( C @ ( B @ ( A @ k3_waybel_1 ) ) )
= ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ k7_grcat_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_waybel_1) ).
thf(629,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( C @ ( B @ ( A @ k3_waybel_1 ) ) )
= ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ k7_grcat_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(20,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(199,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(200,plain,
! [A: $i] : ( A @ ( A @ sk6 @ m1_subset_1 ) ),
inference(cnf,[status(esa)],[199]) ).
thf(23,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(209,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)],[23]) ).
thf(210,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)],[209]) ).
thf(5509,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ 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)],[200,210]) ).
thf(5510,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5509]) ).
thf(5511,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5510:[bind(A,$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 @ sk6 ))]]) ).
thf(5515,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 ),
inference(simp,[status(thm)],[5511]) ).
thf(5538,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5515,179]) ).
thf(5539,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5538]) ).
thf(5540,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5539:[bind(A,$thf( G )),bind(B,$thf( H )),bind(C,$thf( C )),bind(D,$thf( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 ))]]) ).
thf(5561,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5540]) ).
thf(54,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_orders_2 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel_8) ).
thf(365,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_orders_2 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(1,conjecture,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_waybel_3 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_waybel34) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_waybel_3 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(131,plain,
~ ! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_waybel_3 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(132,plain,
( ~ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
& ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ) )
& ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ m2_relset_1 ) ) )
& ( sk1 @ ( sk2 @ v7_waybel_1 ) )
& ( sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ v1_funct_2 ) ) )
& ( sk2 @ v1_funct_1 )
& ( sk1 @ l1_orders_2 )
& ( sk1 @ v3_waybel_3 )
& ( sk1 @ v3_lattice3 )
& ( sk1 @ v2_lattice3 )
& ( sk1 @ v1_lattice3 )
& ( sk1 @ v4_orders_2 )
& ( sk1 @ v3_orders_2 )
& ( sk1 @ v2_orders_2 ) ),
inference(cnf,[status(esa)],[131]) ).
thf(138,plain,
sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ v1_funct_2 ) ),
inference(cnfConj,[status(thm)],[132]) ).
thf(51,axiom,
? [A: $i] : ( A @ l1_orders_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(355,plain,
? [A: $i] : ( A @ l1_orders_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(356,plain,
sk14 @ l1_orders_2,
inference(cnf,[status(esa)],[355]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v1_lattice3 )
=> ~ ( A @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
thf(343,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v1_lattice3 )
=> ~ ( A @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(344,plain,
! [A: $i] :
( ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_lattice3 )
| ~ ( A @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[343]) ).
thf(934,plain,
! [A: $i] :
( ( ( sk14 @ l1_orders_2 )
!= ( A @ l1_orders_2 ) )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_lattice3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[356,344]) ).
thf(935,plain,
! [A: $i] :
( ( ( sk14 @ l1_orders_2 )
!= ( A @ l1_orders_2 ) )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_lattice3 ) ),
inference(simp,[status(thm)],[934]) ).
thf(936,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_lattice3 ) ),
inference(pattern_uni,[status(thm)],[935:[bind(A,$thf( sk14 ))]]) ).
thf(1167,plain,
! [A: $i] :
( ( A != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,936]) ).
thf(1168,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_lattice3 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1167:[bind(A,$thf( sk14 ))]]) ).
thf(1307,plain,
k1_xboole_0 @ v1_xboole_0,
inference(rewrite,[status(thm)],[809,1042]) ).
thf(145,plain,
sk1 @ l1_orders_2,
inference(cnfConj,[status(thm)],[132]) ).
thf(1219,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ l1_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,145]) ).
thf(1220,plain,
( ( k1_xboole_0 @ l1_orders_2 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1219:[bind(A,$thf( sk1 ))]]) ).
thf(2291,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_orders_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1220]) ).
thf(2292,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ l1_orders_2 ) ),
inference(simp,[status(thm)],[2291]) ).
thf(2295,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ l1_orders_2 ) ),
inference(simp,[status(thm)],[2292]) ).
thf(5591,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5561,179]) ).
thf(5592,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5591]) ).
thf(5593,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5592:[bind(A,$thf( F )),bind(B,$thf( J )),bind(C,$thf( K )),bind(D,$thf( D )),bind(E,$thf( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) ))]]) ).
thf(5627,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5593]) ).
thf(5794,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5627,179]) ).
thf(5795,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5794]) ).
thf(5796,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5795:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( M )),bind(D,$thf( N )),bind(E,$thf( E )),bind(F,$thf( N @ ( M @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).
thf(5829,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5796]) ).
thf(5883,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5829,179]) ).
thf(5884,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5883]) ).
thf(5885,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5884:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( P )),bind(E,$thf( Q )),bind(F,$thf( F )),bind(G,$thf( Q @ ( P @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).
thf(5937,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5885]) ).
thf(6126,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5937,179]) ).
thf(6127,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6126]) ).
thf(6128,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6127:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( S )),bind(F,$thf( T )),bind(G,$thf( G )),bind(H,$thf( T @ ( S @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).
thf(6179,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6128]) ).
thf(6251,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6179,179]) ).
thf(6252,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( G @ ( F @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6251]) ).
thf(6253,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6252:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( V )),bind(G,$thf( W )),bind(H,$thf( H )),bind(I,$thf( W @ ( V @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).
thf(6317,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6253]) ).
thf(73,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_1) ).
thf(518,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(11,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(170,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(26,axiom,
? [A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(217,plain,
? [A: $i] :
( ( A @ v1_finset_1 )
& ~ ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(136,plain,
sk1 @ v1_lattice3,
inference(cnfConj,[status(thm)],[132]) ).
thf(1269,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v1_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,136]) ).
thf(1270,plain,
( ( k1_xboole_0 @ v1_lattice3 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1269:[bind(A,$thf( sk1 ))]]) ).
thf(2640,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_lattice3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1270]) ).
thf(2641,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v1_lattice3 ) ),
inference(simp,[status(thm)],[2640]) ).
thf(2644,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v1_lattice3 ) ),
inference(simp,[status(thm)],[2641]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
thf(741,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(646,plain,
( ( sk25 @ v3_waybel_3 )
& ( sk25 @ v2_waybel_3 )
& ( sk25 @ v25_waybel_0 )
& ( sk25 @ v24_waybel_0 )
& ( sk25 @ v3_yellow_0 )
& ( sk25 @ v2_yellow_0 )
& ( sk25 @ v1_yellow_0 )
& ( sk25 @ v3_lattice3 )
& ( sk25 @ v2_lattice3 )
& ( sk25 @ v1_lattice3 )
& ( sk25 @ v4_orders_2 )
& ( sk25 @ v3_orders_2 )
& ( sk25 @ v2_orders_2 )
& ( sk25 @ v1_orders_2 )
& ~ ( sk25 @ v3_struct_0 )
& ( sk25 @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[645]) ).
thf(655,plain,
sk25 @ v2_lattice3,
inference(cnfConj,[status(thm)],[646]) ).
thf(38,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( A @ ( B @ v5_orders_3 ) ) )
& ( B @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel10) ).
thf(269,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( A @ ( B @ v5_orders_3 ) ) )
& ( B @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(43,axiom,
? [A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
thf(302,plain,
? [A: $i] :
( ( A @ v3_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ( A @ v1_orders_2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_orders_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(303,plain,
( ( sk12 @ v3_lattice3 )
& ( sk12 @ v4_orders_2 )
& ( sk12 @ v3_orders_2 )
& ( sk12 @ v2_orders_2 )
& ( sk12 @ v1_orders_2 )
& ~ ( sk12 @ v3_struct_0 )
& ( sk12 @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[302]) ).
thf(308,plain,
sk12 @ l1_orders_2,
inference(cnfConj,[status(thm)],[303]) ).
thf(128,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(901,plain,
? [A: $i] :
( ( A @ v2_funct_1 )
& ( A @ v1_funct_1 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(902,plain,
( ( sk31 @ v2_funct_1 )
& ( sk31 @ v1_funct_1 )
& ( sk31 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[901]) ).
thf(903,plain,
sk31 @ v1_relat_1,
inference(cnfConj,[status(thm)],[902]) ).
thf(2456,plain,
! [B: $i,A: $i] :
( ( ( sk31 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[903,179]) ).
thf(2457,plain,
! [B: $i,A: $i] :
( ( ( sk31 @ v1_relat_1 )
!= ( B @ v1_relat_1 ) )
| ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2456]) ).
thf(2458,plain,
! [A: $i] : ( sk31 @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2457:[bind(A,$thf( A )),bind(B,$thf( sk31 ))]]) ).
thf(2509,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2458,179]) ).
thf(2510,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( C @ v1_relat_1 ) )
| ( C @ ( B @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2509]) ).
thf(2511,plain,
! [B: $i,A: $i] : ( sk31 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2510:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( sk31 @ ( D @ k8_relat_1 ) ))]]) ).
thf(2530,plain,
! [B: $i,A: $i] : ( sk31 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2511]) ).
thf(2696,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2530,179]) ).
thf(2697,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2696]) ).
thf(2698,plain,
! [C: $i,B: $i,A: $i] : ( sk31 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2697:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( sk31 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).
thf(2722,plain,
! [C: $i,B: $i,A: $i] : ( sk31 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2698]) ).
thf(2919,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2722,179]) ).
thf(2920,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2919]) ).
thf(2921,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2920:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( sk31 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).
thf(2947,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2921]) ).
thf(559,plain,
sk20 @ v1_lattice3,
inference(cnfConj,[status(thm)],[552]) ).
thf(963,plain,
( ( ( sk20 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[559,936]) ).
thf(964,plain,
( ( ( sk20 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[963]) ).
thf(970,plain,
( ( sk20 != sk14 )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[964]) ).
thf(1141,plain,
! [A: $i] :
( ( A != sk20 )
| ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,970]) ).
thf(1142,plain,
( ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1141:[bind(A,$thf( sk20 ))]]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v24_waybel_0 )
& ( A @ v1_lattice3 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
thf(379,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v24_waybel_0 )
& ( A @ v1_lattice3 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel10) ).
thf(385,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(2769,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2630,179]) ).
thf(2770,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2769]) ).
thf(2771,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2770:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( sk27 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).
thf(2802,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2771]) ).
thf(3126,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2802,179]) ).
thf(3127,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3126]) ).
thf(3128,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3127:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( sk27 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).
thf(3171,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3128]) ).
thf(3284,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3171,179]) ).
thf(3285,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3284]) ).
thf(3286,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3285:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( sk27 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).
thf(3334,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3286]) ).
thf(3644,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3334,179]) ).
thf(3645,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3644]) ).
thf(3646,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3645:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( sk27 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).
thf(3709,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3646]) ).
thf(4024,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3709,179]) ).
thf(4025,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4024]) ).
thf(4026,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4025:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( sk27 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).
thf(4097,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4026]) ).
thf(142,plain,
sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_waybel_1 ) ) @ v1_waybel34 ) ),
inference(cnfConj,[status(thm)],[132]) ).
thf(99,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ( A @ ( B @ v3_waybel_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel_0) ).
thf(715,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ( A @ ( B @ v3_waybel_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(250,plain,
( ( sk10 @ v3_lattice3 )
& ( sk10 @ v2_lattice3 )
& ( sk10 @ v1_lattice3 )
& ( sk10 @ v4_orders_2 )
& ( sk10 @ v3_orders_2 )
& ( sk10 @ v2_orders_2 )
& ( sk10 @ v1_orders_2 )
& ~ ( sk10 @ v3_struct_0 )
& ( sk10 @ l1_orders_2 ) ),
inference(cnf,[status(esa)],[249]) ).
thf(258,plain,
~ ( sk10 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[250]) ).
thf(1259,plain,
! [A: $i] :
( ( A != sk10 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,258]) ).
thf(1260,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk10 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1259:[bind(A,$thf( sk10 ))]]) ).
thf(7,axiom,
! [A: $i,B: $i] : ( A @ ( A @ r1_tarski ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(158,plain,
! [A: $i] : ( A @ ( A @ r1_tarski ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(159,plain,
! [A: $i] : ( A @ ( A @ r1_tarski ) ),
inference(cnf,[status(esa)],[158]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
<=> ( B @ ( A @ r1_tarski ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
thf(182,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ r1_tarski ) )
=> ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) )
& ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
=> ( B @ ( A @ r1_tarski ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(183,plain,
( ! [A: $i,B: $i] :
( ( B @ ( A @ r1_tarski ) )
=> ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) )
& ! [A: $i,B: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
=> ( B @ ( A @ r1_tarski ) ) ) ),
inference(miniscope,[status(thm)],[182]) ).
thf(184,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
| ~ ( D @ ( C @ r1_tarski ) ) )
& ( ( B @ ( A @ r1_tarski ) )
| ~ ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) ) ),
inference(cnf,[status(esa)],[183]) ).
thf(186,plain,
! [B: $i,A: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
| ~ ( B @ ( A @ r1_tarski ) ) ),
inference(cnfConj,[status(thm)],[184]) ).
thf(187,plain,
! [B: $i,A: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
| ~ ( B @ ( A @ r1_tarski ) ) ),
inference(simp,[status(thm)],[186]) ).
thf(2883,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( C @ ( B @ r1_tarski ) ) )
| ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[159,187]) ).
thf(2884,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( C @ ( B @ r1_tarski ) ) )
| ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
inference(simp,[status(thm)],[2883]) ).
thf(2885,plain,
! [A: $i] : ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ),
inference(pattern_uni,[status(thm)],[2884:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(5502,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ 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)],[2885,210]) ).
thf(5503,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5502]) ).
thf(5504,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5503:[bind(A,$thf( F @ ( E @ k2_zfmisc_1 ) )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( F @ ( E @ k2_zfmisc_1 ) ))]]) ).
thf(5512,plain,
! [B: $i,A: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5504]) ).
thf(5525,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5512,179]) ).
thf(5526,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5525]) ).
thf(5527,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5526:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( C )),bind(D,$thf( F @ ( E @ k2_zfmisc_1 ) ))]]) ).
thf(5534,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5527]) ).
thf(5569,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5534,179]) ).
thf(5570,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ k2_zfmisc_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5569]) ).
thf(5571,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5570:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( I )),bind(D,$thf( D )),bind(E,$thf( I @ ( H @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) ))]]) ).
thf(5584,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5571]) ).
thf(5763,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5584,179]) ).
thf(5764,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ k2_zfmisc_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5763]) ).
thf(5765,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5764:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( L )),bind(E,$thf( E )),bind(F,$thf( L @ ( K @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).
thf(5786,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5765]) ).
thf(5843,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5786,179]) ).
thf(5844,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( D @ k2_zfmisc_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5843]) ).
thf(5845,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5844:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( O )),bind(F,$thf( F )),bind(G,$thf( O @ ( N @ k2_zfmisc_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).
thf(5877,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5845]) ).
thf(6077,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5877,179]) ).
thf(6078,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ k2_zfmisc_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6077]) ).
thf(6079,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6078:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( R )),bind(G,$thf( G )),bind(H,$thf( R @ ( Q @ k2_zfmisc_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).
thf(6125,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6079]) ).
thf(6193,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6125,179]) ).
thf(6194,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( G @ ( F @ k2_zfmisc_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6193]) ).
thf(6195,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6194:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( U )),bind(H,$thf( H )),bind(I,$thf( U @ ( T @ k2_zfmisc_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).
thf(6241,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6195]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ v3_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).
thf(151,plain,
! [A: $i] :
( ( A @ v3_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(152,plain,
! [B: $i,A: $i] :
( ( ( B @ v3_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) )
& ( ( B @ v2_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) )
& ( ( B @ v1_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(153,plain,
! [B: $i,A: $i] :
( ( B @ v1_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) ),
inference(cnfConj,[status(thm)],[152]) ).
thf(4403,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4097,179]) ).
thf(4404,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4403]) ).
thf(4405,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4404:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( sk27 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).
thf(4482,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4405]) ).
thf(4669,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4482,179]) ).
thf(4670,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4669]) ).
thf(4671,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4670:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( sk27 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).
thf(4762,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4671]) ).
thf(670,plain,
sk26 @ v2_orders_2,
inference(cnfConj,[status(thm)],[664]) ).
thf(185,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ r1_tarski ) )
| ~ ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) ),
inference(cnfConj,[status(thm)],[184]) ).
thf(121,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v23_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v2_funct_1 )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_waybel_0) ).
thf(841,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v23_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v2_funct_1 )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(41,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(288,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)],[41]) ).
thf(565,plain,
sk20 @ v24_waybel_0,
inference(cnfConj,[status(thm)],[552]) ).
thf(252,plain,
sk10 @ v1_lattice3,
inference(cnfConj,[status(thm)],[250]) ).
thf(965,plain,
( ( ( sk14 @ v1_lattice3 )
!= ( sk10 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[252,936]) ).
thf(966,plain,
( ( ( sk14 @ v1_lattice3 )
!= ( sk10 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[965]) ).
thf(971,plain,
( ( sk14 != sk10 )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[966]) ).
thf(1227,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk14 != sk10 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,971]) ).
thf(1228,plain,
( ( sk14 != sk10 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1227:[bind(A,$thf( sk14 ))]]) ).
thf(651,plain,
sk25 @ v1_orders_2,
inference(cnfConj,[status(thm)],[646]) ).
thf(257,plain,
sk10 @ l1_orders_2,
inference(cnfConj,[status(thm)],[250]) ).
thf(3175,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2947,179]) ).
thf(3176,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3175]) ).
thf(3177,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3176:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( sk31 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).
thf(3212,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3177]) ).
thf(3517,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3212,179]) ).
thf(3518,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3517]) ).
thf(3519,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3518:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( sk31 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).
thf(3573,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3519]) ).
thf(3711,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3573,179]) ).
thf(3712,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3711]) ).
thf(3713,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3712:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( sk31 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).
thf(3756,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3713]) ).
thf(4100,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3756,179]) ).
thf(4101,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4100]) ).
thf(4102,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4101:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( sk31 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).
thf(4151,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4102]) ).
thf(4488,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4151,179]) ).
thf(4489,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4488]) ).
thf(4490,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4489:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( sk31 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).
thf(4546,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4490]) ).
thf(4917,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4546,179]) ).
thf(4918,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4917]) ).
thf(4919,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4918:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( sk31 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).
thf(5006,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4919]) ).
thf(5219,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5006,179]) ).
thf(5220,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5219]) ).
thf(5221,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5220:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( sk31 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).
thf(5306,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5221]) ).
thf(6464,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6317,179]) ).
thf(6465,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( H @ ( G @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6464]) ).
thf(6466,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6465:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( Y )),bind(H,$thf( Z )),bind(I,$thf( I )),bind(J,$thf( Z @ ( Y @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).
thf(6521,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6466]) ).
thf(6625,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6521,179]) ).
thf(6626,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( I @ ( H @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6625]) ).
thf(6627,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6626:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( ZB )),bind(I,$thf( ZC )),bind(J,$thf( J )),bind(K,$thf( ZC @ ( ZB @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).
thf(6704,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6627]) ).
thf(6894,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6704,179]) ).
thf(6895,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6894]) ).
thf(6896,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6895:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZE )),bind(J,$thf( ZF )),bind(K,$thf( K )),bind(L,$thf( ZF @ ( ZE @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).
thf(6987,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6896]) ).
thf(139,plain,
sk1 @ v3_orders_2,
inference(cnfConj,[status(thm)],[132]) ).
thf(1263,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v3_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,139]) ).
thf(1264,plain,
( ( k1_xboole_0 @ v3_orders_2 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1263:[bind(A,$thf( sk1 ))]]) ).
thf(9,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(164,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)],[9]) ).
thf(165,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 )
| ~ ( B @ ( A @ m1_subset_1 ) ) ),
inference(cnf,[status(esa)],[164]) ).
thf(1303,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[200,165]) ).
thf(1304,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1303]) ).
thf(1305,plain,
! [A: $i] :
( ( A @ ( A @ sk6 @ r2_hidden ) )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1304:[bind(A,$thf( D )),bind(B,$thf( D @ sk6 )),bind(C,$thf( D ))]]) ).
thf(1306,plain,
! [A: $i] :
( ( A @ ( A @ sk6 @ r2_hidden ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1305]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(188,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(189,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ m1_subset_1 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[188]) ).
thf(3101,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ r2_hidden ) )
!= ( C @ ( B @ r2_hidden ) ) )
| ( C @ ( B @ m1_subset_1 ) )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[1306,189]) ).
thf(3102,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ r2_hidden ) )
!= ( C @ ( B @ r2_hidden ) ) )
| ( C @ ( B @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3101]) ).
thf(3103,plain,
! [A: $i] :
( ( A @ ( A @ sk6 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3102:[bind(A,$thf( D )),bind(B,$thf( D @ sk6 )),bind(C,$thf( D ))]]) ).
thf(3125,plain,
! [A: $i] :
( ( A @ ( A @ sk6 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3103]) ).
thf(52,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(357,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(19,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(194,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)],[19]) ).
thf(195,plain,
! [A: $i] :
( ( ( A @ sk5 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) )
& ( ~ ( A @ sk5 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[194]) ).
thf(196,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[195]) ).
thf(141,plain,
sk1 @ ( sk2 @ v7_waybel_1 ),
inference(cnfConj,[status(thm)],[132]) ).
thf(1131,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,141]) ).
thf(1132,plain,
( ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1131:[bind(A,$thf( sk1 ))]]) ).
thf(22,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(204,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)],[22]) ).
thf(205,plain,
! [A: $i] :
( ( ( A @ sk7 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) )
& ( ~ ( A @ sk7 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) )
& ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[204]) ).
thf(206,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[205]) ).
thf(3817,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[206,185]) ).
thf(3818,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3817]) ).
thf(3819,plain,
! [A: $i] :
( ( A @ ( A @ sk7 @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3818:[bind(A,$thf( D )),bind(B,$thf( D @ sk7 )),bind(C,$thf( D ))]]) ).
thf(3855,plain,
! [A: $i] :
( ( A @ ( A @ sk7 @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3819]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
=> ( ( B @ ( A @ g1_orders_2 ) @ l1_orders_2 )
& ( B @ ( A @ g1_orders_2 ) @ v1_orders_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
thf(460,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
=> ( ( B @ ( A @ g1_orders_2 ) @ l1_orders_2 )
& ( B @ ( A @ g1_orders_2 ) @ v1_orders_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ v2_membered )
=> ( A @ v1_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).
thf(156,plain,
! [A: $i] :
( ( A @ v2_membered )
=> ( A @ v1_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(157,plain,
! [A: $i] :
( ( A @ v1_membered )
| ~ ( A @ v2_membered ) ),
inference(cnf,[status(esa)],[156]) ).
thf(45,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(325,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)],[45]) ).
thf(5116,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4762,179]) ).
thf(5117,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5116]) ).
thf(5118,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5117:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( sk27 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).
thf(5217,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5118]) ).
thf(7360,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5217,179]) ).
thf(7361,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7360]) ).
thf(7362,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7361:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( sk27 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).
thf(7436,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk27 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7362]) ).
thf(647,plain,
sk25 @ v1_lattice3,
inference(cnfConj,[status(thm)],[646]) ).
thf(961,plain,
( ( ( sk25 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[647,936]) ).
thf(962,plain,
( ( ( sk25 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[961]) ).
thf(969,plain,
( ( sk25 != sk14 )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[962]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ? [B: $i] :
( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v1_orders_2 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_yellow_0) ).
thf(606,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ? [B: $i] :
( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v1_orders_2 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(29,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(226,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(227,plain,
~ ? [A: $i,B: $i] :
( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(miniscope,[status(thm)],[226]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[227]) ).
thf(25,axiom,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(213,plain,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(214,plain,
( ~ ( sk8 @ v3_struct_0 )
& ( sk8 @ l1_struct_0 ) ),
inference(cnf,[status(esa)],[213]) ).
thf(216,plain,
~ ( sk8 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[214]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(150,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ r2_hidden ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[149]) ).
thf(922,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ r2_hidden ) )
!= ( B @ ( A @ r2_hidden ) ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(eqfactor_ordered,[status(thm)],[150]) ).
thf(923,plain,
! [A: $i] :
~ ( A @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[922:[bind(A,$thf( B ))]]) ).
thf(924,plain,
! [A: $i] :
~ ( A @ ( A @ r2_hidden ) ),
inference(simp,[status(thm)],[923]) ).
thf(905,plain,
sk31 @ v2_funct_1,
inference(cnfConj,[status(thm)],[902]) ).
thf(70,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v2_orders_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_yellow_0) ).
thf(492,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v2_orders_2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(24,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(211,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)],[24]) ).
thf(253,plain,
sk10 @ v2_lattice3,
inference(cnfConj,[status(thm)],[250]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ v3_membered )
=> ( A @ v2_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).
thf(147,plain,
! [A: $i] :
( ( A @ v3_membered )
=> ( A @ v2_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6397,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6241,179]) ).
thf(6398,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( H @ ( G @ k2_zfmisc_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6397]) ).
thf(6399,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6398:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( X )),bind(I,$thf( I )),bind(J,$thf( X @ ( W @ k2_zfmisc_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).
thf(6462,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6399]) ).
thf(6549,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6462,179]) ).
thf(6550,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( I @ ( H @ k2_zfmisc_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6549]) ).
thf(6551,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6550:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZA )),bind(J,$thf( J )),bind(K,$thf( ZA @ ( Z @ k2_zfmisc_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).
thf(6604,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6551]) ).
thf(6809,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6604,179]) ).
thf(6810,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( J @ ( I @ k2_zfmisc_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6809]) ).
thf(6811,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6810:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZD )),bind(K,$thf( K )),bind(L,$thf( ZD @ ( ZC @ k2_zfmisc_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).
thf(6875,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6811]) ).
thf(6997,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6875,179]) ).
thf(6998,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( K @ ( J @ k2_zfmisc_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[6997]) ).
thf(6999,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[6998:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZG )),bind(L,$thf( L )),bind(M,$thf( ZG @ ( ZF @ k2_zfmisc_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).
thf(7070,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[6999]) ).
thf(7859,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( N @ v1_relat_1 ) )
| ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7070,179]) ).
thf(7860,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( L @ ( K @ k2_zfmisc_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( N @ v1_relat_1 ) )
| ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7859]) ).
thf(7861,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7860:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZJ )),bind(M,$thf( M )),bind(N,$thf( ZJ @ ( ZI @ k2_zfmisc_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).
thf(7954,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( M @ ( L @ k2_zfmisc_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7861]) ).
thf(133,plain,
sk1 @ v3_lattice3,
inference(cnfConj,[status(thm)],[132]) ).
thf(660,plain,
sk25 @ l1_orders_2,
inference(cnfConj,[status(thm)],[646]) ).
thf(10,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(166,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(167,plain,
~ ? [A: $i] :
( ? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A != B ) )
& ( A @ v1_xboole_0 ) ),
inference(miniscope,[status(thm)],[166]) ).
thf(168,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ( A = B )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[167]) ).
thf(169,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 )
| ( A = B ) ),
inference(lifteq,[status(thm)],[168]) ).
thf(667,plain,
sk26 @ v1_lattice3,
inference(cnfConj,[status(thm)],[664]) ).
thf(988,plain,
( ( ( sk26 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[667,936]) ).
thf(989,plain,
( ( ( sk26 @ v1_lattice3 )
!= ( sk14 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[988]) ).
thf(990,plain,
( ( sk26 != sk14 )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[989]) ).
thf(1663,plain,
! [B: $i,A: $i] :
( ( A != sk26 )
| ( B != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[169,990]) ).
thf(1664,plain,
! [A: $i] :
( ( A != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1663:[bind(A,$thf( sk26 ))]]) ).
thf(1943,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1664]) ).
thf(72,axiom,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel10) ).
thf(507,plain,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v2_lattice3 )
=> ~ ( A @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
thf(527,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v2_lattice3 )
=> ~ ( A @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(103,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( B @ l1_orders_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
thf(734,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( B @ l1_orders_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ v1_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( B @ v1_membered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).
thf(221,plain,
! [A: $i] :
( ( A @ v1_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( B @ v1_membered ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(307,plain,
~ ( sk12 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[303]) ).
thf(967,plain,
( ( ( sk14 @ v1_lattice3 )
!= ( sk1 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[136,936]) ).
thf(968,plain,
( ( ( sk14 @ v1_lattice3 )
!= ( sk1 @ v1_lattice3 ) )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[967]) ).
thf(972,plain,
( ( sk14 != sk1 )
| ~ ( sk14 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[968]) ).
thf(1885,plain,
! [B: $i,A: $i] :
( ( A != sk14 )
| ( B != sk1 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[169,972]) ).
thf(1886,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1885:[bind(A,$thf( sk14 ))]]) ).
thf(2011,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk1 @ v1_xboole_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1886]) ).
thf(76,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel21) ).
thf(529,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(661,plain,
sk25 @ v3_yellow_0,
inference(cnfConj,[status(thm)],[646]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_yellow_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
thf(546,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v1_yellow_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(146,plain,
sk1 @ v2_lattice3,
inference(cnfConj,[status(thm)],[132]) ).
thf(1036,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v2_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,146]) ).
thf(1037,plain,
( ( k1_xboole_0 @ v2_lattice3 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1036:[bind(A,$thf( sk1 ))]]) ).
thf(1298,plain,
( ( ( sk29 @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_lattice3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[809,1037]) ).
thf(1299,plain,
( ( ( sk29 @ v1_xboole_0 )
!= ( sk1 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_lattice3 ) ),
inference(simp,[status(thm)],[1298]) ).
thf(1302,plain,
( ( sk29 != sk1 )
| ( k1_xboole_0 @ v2_lattice3 ) ),
inference(simp,[status(thm)],[1299]) ).
thf(2646,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_lattice3 ) ),
inference(rewrite,[status(thm)],[1302,1042]) ).
thf(218,plain,
( ( sk9 @ v1_finset_1 )
& ~ ( sk9 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[217]) ).
thf(220,plain,
sk9 @ v1_finset_1,
inference(cnfConj,[status(thm)],[218]) ).
thf(5488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[206,210]) ).
thf(5489,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5488]) ).
thf(5490,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
| ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5489:[bind(A,$thf( G @ ( F @ k2_zfmisc_1 ) )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( G @ ( F @ k2_zfmisc_1 ) @ sk7 ))]]) ).
thf(5519,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ sk7 @ v1_relat_1 )
| ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5490]) ).
thf(233,plain,
! [A: $i] :
( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
| ~ ( A @ l1_orders_2 )
| ~ ( A @ v4_orders_2 ) ),
inference(cnfConj,[status(thm)],[232]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 ) )
=> ( A @ v3_yellow_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow_0) ).
thf(452,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 ) )
=> ( A @ v3_yellow_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1002,plain,
! [B: $i,A: $i] :
( ( ( sk29 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ $true
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[809,228]) ).
thf(1003,plain,
! [B: $i,A: $i] :
( ( ( sk29 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[1002]) ).
thf(1004,plain,
! [A: $i] :
~ ( sk29 @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[1003:[bind(A,$thf( A )),bind(B,$thf( sk29 ))]]) ).
thf(1311,plain,
! [A: $i] :
~ ( k1_xboole_0 @ ( A @ r2_hidden ) ),
inference(rewrite,[status(thm)],[1004,1042]) ).
thf(77,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_orders_3 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_waybel_1 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v22_waybel_0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v20_waybel_0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v18_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel34) ).
thf(534,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_orders_3 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v5_waybel_1 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v22_waybel_0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v20_waybel_0 ) ) )
& ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v18_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ? [B: $i] : ( A @ ( B @ m1_yellow_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_yellow_0) ).
thf(894,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ? [B: $i] : ( A @ ( B @ m1_yellow_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
thf(746,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(1101,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v3_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,133]) ).
thf(1102,plain,
( ( k1_xboole_0 @ v3_lattice3 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1101:[bind(A,$thf( sk1 ))]]) ).
thf(1351,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_lattice3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1102]) ).
thf(1352,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_lattice3 ) ),
inference(simp,[status(thm)],[1351]) ).
thf(1355,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v3_lattice3 ) ),
inference(simp,[status(thm)],[1352]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ v2_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).
thf(160,plain,
! [A: $i] :
( ( A @ v2_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(561,plain,
~ ( sk20 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[552]) ).
thf(35,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(260,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)],[35]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_funct_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(349,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_funct_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
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(192,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(95,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v4_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v4_orders_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_yellow_0) ).
thf(693,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v4_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v4_orders_2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(140,plain,
sk1 @ v3_waybel_3,
inference(cnfConj,[status(thm)],[132]) ).
thf(1193,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v3_waybel_3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,140]) ).
thf(1194,plain,
( ( k1_xboole_0 @ v3_waybel_3 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1193:[bind(A,$thf( sk1 ))]]) ).
thf(2146,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_waybel_3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1194]) ).
thf(2147,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_waybel_3 ) ),
inference(simp,[status(thm)],[2146]) ).
thf(2150,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v3_waybel_3 ) ),
inference(simp,[status(thm)],[2147]) ).
thf(137,plain,
sk1 @ v2_orders_2,
inference(cnfConj,[status(thm)],[132]) ).
thf(197,plain,
! [A: $i] :
( ~ ( A @ sk5 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[195]) ).
thf(1573,plain,
! [B: $i,A: $i] :
( ( A != sk20 )
| ( B != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[169,970]) ).
thf(1574,plain,
! [A: $i] :
( ( A != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1573:[bind(A,$thf( sk20 ))]]) ).
thf(1920,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1574]) ).
thf(86,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v3_orders_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_yellow_0) ).
thf(625,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
=> ( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v3_orders_2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(4375,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1132]) ).
thf(4376,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) ) ),
inference(simp,[status(thm)],[4375]) ).
thf(4385,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ ( sk2 @ v7_waybel_1 ) ) ),
inference(simp,[status(thm)],[4376]) ).
thf(665,plain,
sk26 @ v2_lattice3,
inference(cnfConj,[status(thm)],[664]) ).
thf(3381,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[3125,185]) ).
thf(3382,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3381]) ).
thf(3383,plain,
! [A: $i] :
( ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3382:[bind(A,$thf( E @ k1_zfmisc_1 )),bind(B,$thf( E @ k1_zfmisc_1 @ sk6 )),bind(C,$thf( E ))]]) ).
thf(3408,plain,
! [A: $i] :
( ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3383]) ).
thf(1105,plain,
! [A: $i] :
( ( A != sk12 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,307]) ).
thf(1106,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk12 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1105:[bind(A,$thf( sk12 ))]]) ).
thf(566,plain,
sk20 @ v3_lattice3,
inference(cnfConj,[status(thm)],[552]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_finset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(229,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_finset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(122,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_1) ).
thf(847,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(1115,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v2_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,137]) ).
thf(1116,plain,
( ( k1_xboole_0 @ v2_orders_2 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1115:[bind(A,$thf( sk1 ))]]) ).
thf(1356,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_orders_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1116]) ).
thf(1357,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v2_orders_2 ) ),
inference(simp,[status(thm)],[1356]) ).
thf(1360,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v2_orders_2 ) ),
inference(simp,[status(thm)],[1357]) ).
thf(96,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ u1_orders_2 @ m2_relset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
thf(697,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ u1_orders_2 @ m2_relset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(650,plain,
~ ( sk25 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[646]) ).
thf(85,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_waybel_1) ).
thf(615,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(1095,plain,
! [A: $i] :
( ( A != sk8 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,216]) ).
thf(1096,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk8 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1095:[bind(A,$thf( sk8 ))]]) ).
thf(256,plain,
sk10 @ v2_orders_2,
inference(cnfConj,[status(thm)],[250]) ).
thf(1081,plain,
! [A: $i] :
( ( A != sk26 )
| ( k1_xboole_0 @ v2_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,670]) ).
thf(1082,plain,
( ( k1_xboole_0 @ v2_orders_2 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1081:[bind(A,$thf( sk26 ))]]) ).
thf(28,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(223,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)],[28]) ).
thf(224,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)],[223]) ).
thf(225,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)],[224]) ).
thf(554,plain,
sk20 @ v1_yellow_0,
inference(cnfConj,[status(thm)],[552]) ).
thf(193,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)],[192]) ).
thf(669,plain,
sk26 @ l1_orders_2,
inference(cnfConj,[status(thm)],[664]) ).
thf(1125,plain,
! [A: $i] :
( ( A != sk25 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,650]) ).
thf(1126,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1125:[bind(A,$thf( sk25 ))]]) ).
thf(2232,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1126]) ).
thf(2233,plain,
( ( ( sk25 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2232]) ).
thf(2240,plain,
( ( sk25 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2233]) ).
thf(7472,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5306,179]) ).
thf(7473,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk31 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7472]) ).
thf(7474,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7473:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( sk31 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).
thf(7572,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( sk31 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7474]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ l1_struct_0 )
=> ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ m2_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
thf(679,plain,
! [A: $i] :
( ( A @ l1_struct_0 )
=> ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ m2_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(212,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)],[211]) ).
thf(654,plain,
sk25 @ v2_orders_2,
inference(cnfConj,[status(thm)],[646]) ).
thf(1059,plain,
! [A: $i] :
( ( A != sk25 )
| ( k1_xboole_0 @ v2_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,655]) ).
thf(1060,plain,
( ( k1_xboole_0 @ v2_lattice3 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1059:[bind(A,$thf( sk25 ))]]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v2_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
thf(393,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v2_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(1113,plain,
! [A: $i] :
( ( A != sk20 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,561]) ).
thf(1114,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1113:[bind(A,$thf( sk20 ))]]) ).
thf(130,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v1_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_yellow_9) ).
thf(911,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v1_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(134,plain,
sk2 @ v1_funct_1,
inference(cnfConj,[status(thm)],[132]) ).
thf(113,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_1) ).
thf(792,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v2_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_2) ).
thf(311,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v2_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(3820,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[206,165]) ).
thf(3821,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3820]) ).
thf(3822,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[3821:[bind(A,$thf( E )),bind(B,$thf( E @ sk7 )),bind(C,$thf( E @ k1_zfmisc_1 ))]]) ).
thf(3856,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk7 @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[3822]) ).
thf(657,plain,
sk25 @ v2_waybel_3,
inference(cnfConj,[status(thm)],[646]) ).
thf(1053,plain,
! [A: $i] :
( ( A != sk20 )
| ( k1_xboole_0 @ v3_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,555]) ).
thf(1054,plain,
( ( k1_xboole_0 @ v3_orders_2 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1053:[bind(A,$thf( sk20 ))]]) ).
thf(558,plain,
sk20 @ v4_orders_2,
inference(cnfConj,[status(thm)],[552]) ).
thf(674,plain,
~ ( sk26 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[664]) ).
thf(82,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v21_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v20_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v19_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v18_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v17_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v5_orders_3 ) ) )
& ( B @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v2_funct_1 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel10) ).
thf(586,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v8_waybel_1 ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v21_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v20_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v19_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v18_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v17_waybel_0 ) ) )
& ( A @ ( A @ ( B @ v5_orders_3 ) ) )
& ( B @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v2_funct_1 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v4_waybel_1 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel34) ).
thf(237,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( A @ ( B @ ( C @ v18_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v5_orders_3 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v4_waybel_1 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(1285,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk1 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,972]) ).
thf(1286,plain,
( ( sk1 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1285:[bind(A,$thf( sk14 ))]]) ).
thf(1034,plain,
! [A: $i] :
( ( A != sk26 )
| ( k1_xboole_0 @ v1_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,667]) ).
thf(1035,plain,
( ( k1_xboole_0 @ v1_lattice3 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1034:[bind(A,$thf( sk26 ))]]) ).
thf(662,plain,
sk25 @ v3_lattice3,
inference(cnfConj,[status(thm)],[646]) ).
thf(125,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_waybel_3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_waybel_3 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_3) ).
thf(888,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_waybel_3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_waybel_3 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(129,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(906,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)],[129]) ).
thf(62,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v22_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v21_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v20_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v19_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v18_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v17_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ k7_grcat_1 @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel10) ).
thf(412,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v22_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v21_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v20_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v19_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v18_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v17_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ k7_grcat_1 @ v11_quantal1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(2531,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2480,179]) ).
thf(2532,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( D @ v1_relat_1 ) )
| ( D @ ( C @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2531]) ).
thf(2533,plain,
! [C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2532:[bind(A,$thf( E )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( E @ k8_relat_1 ) ))]]) ).
thf(2556,plain,
! [C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2533]) ).
thf(148,plain,
! [A: $i] :
( ( A @ v2_membered )
| ~ ( A @ v3_membered ) ),
inference(cnf,[status(esa)],[147]) ).
thf(14,axiom,
? [A: $i] : ( A @ l1_struct_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(180,plain,
? [A: $i] : ( A @ l1_struct_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v3_yellow_0 )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
thf(375,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v3_yellow_0 )
=> ( ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(1153,plain,
! [A: $i] :
( ( A != sk26 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,674]) ).
thf(1154,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1153:[bind(A,$thf( sk26 ))]]) ).
thf(118,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k1_waybel34 ) ) )
= ( B @ ( A @ ( A @ k2_waybel_1 ) ) ) )
& ( ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k2_waybel34 ) ) )
= ( B @ ( A @ ( A @ k3_waybel_1 ) ) ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v17_waybel_0 ) ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v18_waybel_0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_waybel34) ).
thf(819,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k1_waybel34 ) ) )
= ( B @ ( A @ ( A @ k2_waybel_1 ) ) ) )
& ( ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ k2_waybel34 ) ) )
= ( B @ ( A @ ( A @ k3_waybel_1 ) ) ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v17_waybel_0 ) ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( A @ ( B @ ( A @ ( A @ k2_waybel_1 ) ) @ v18_waybel_0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
=> ! [C: $i,D: $i] :
( ( ( B @ ( A @ g1_orders_2 ) )
= ( D @ ( C @ g1_orders_2 ) ) )
=> ( ( B = D )
& ( A = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
thf(172,plain,
! [A: $i,B: $i] :
( ( A @ ( A @ ( B @ m1_relset_1 ) ) )
=> ! [C: $i,D: $i] :
( ( ( B @ ( A @ g1_orders_2 ) )
= ( D @ ( C @ g1_orders_2 ) ) )
=> ( ( B = D )
& ( A = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(173,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B = D )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) )
| ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) )
& ( ( A = C )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) )
| ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ) ),
inference(cnf,[status(esa)],[172]) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) )
| ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ),
inference(cnfConj,[status(thm)],[173]) ).
thf(176,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) )
| ( A = C )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) ) ),
inference(lifteq,[status(thm)],[174]) ).
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(190,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(191,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)],[190]) ).
thf(2727,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2556,179]) ).
thf(2728,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( E @ v1_relat_1 ) )
| ( E @ ( D @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2727]) ).
thf(2729,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2728:[bind(A,$thf( F )),bind(B,$thf( H )),bind(C,$thf( J )),bind(D,$thf( D )),bind(E,$thf( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( F @ k8_relat_1 ) ))]]) ).
thf(2757,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2729]) ).
thf(2959,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2757,179]) ).
thf(2960,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( F @ v1_relat_1 ) )
| ( F @ ( E @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[2959]) ).
thf(2961,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[2960:[bind(A,$thf( G )),bind(B,$thf( I )),bind(C,$thf( K )),bind(D,$thf( M )),bind(E,$thf( E )),bind(F,$thf( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( G @ k8_relat_1 ) ))]]) ).
thf(3002,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[2961]) ).
thf(3224,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3002,179]) ).
thf(3225,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( G @ v1_relat_1 ) )
| ( G @ ( F @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3224]) ).
thf(3226,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3225:[bind(A,$thf( H )),bind(B,$thf( J )),bind(C,$thf( L )),bind(D,$thf( N )),bind(E,$thf( P )),bind(F,$thf( F )),bind(G,$thf( k1_xboole_0 @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( H @ k8_relat_1 ) ))]]) ).
thf(3278,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3226]) ).
thf(3575,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3278,179]) ).
thf(3576,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( H @ v1_relat_1 ) )
| ( H @ ( G @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3575]) ).
thf(3577,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3576:[bind(A,$thf( I )),bind(B,$thf( K )),bind(C,$thf( M )),bind(D,$thf( O )),bind(E,$thf( Q )),bind(F,$thf( S )),bind(G,$thf( G )),bind(H,$thf( k1_xboole_0 @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( I @ k8_relat_1 ) ))]]) ).
thf(3636,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3577]) ).
thf(259,plain,
sk10 @ v3_orders_2,
inference(cnfConj,[status(thm)],[250]) ).
thf(562,plain,
sk20 @ v2_yellow_0,
inference(cnfConj,[status(thm)],[552]) ).
thf(904,plain,
sk31 @ v1_funct_1,
inference(cnfConj,[status(thm)],[902]) ).
thf(2671,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[200,185]) ).
thf(2672,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ sk6 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) ) ),
inference(simp,[status(thm)],[2671]) ).
thf(2673,plain,
! [A: $i] : ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) ),
inference(pattern_uni,[status(thm)],[2672:[bind(A,$thf( E @ k1_zfmisc_1 )),bind(B,$thf( E @ k1_zfmisc_1 @ sk6 )),bind(C,$thf( E ))]]) ).
thf(2674,plain,
! [A: $i] : ( A @ ( A @ k1_zfmisc_1 @ sk6 @ r1_tarski ) ),
inference(simp,[status(thm)],[2673]) ).
thf(84,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
<=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_waybel34) ).
thf(611,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m2_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 ) )
=> ( ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) ) )
& ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
=> ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ ( B @ ( A @ ( A @ k3_waybel_1 ) ) @ v22_waybel_0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(144,plain,
~ ( sk1 @ ( sk2 @ ( sk1 @ ( sk1 @ k2_yellow_2 ) ) @ v4_waybel_0 ) ),
inference(cnfConj,[status(thm)],[132]) ).
thf(1057,plain,
! [A: $i] :
( ( A != sk12 )
| ( k1_xboole_0 @ l1_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,308]) ).
thf(1058,plain,
( ( k1_xboole_0 @ l1_orders_2 )
| ~ ( sk12 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1057:[bind(A,$thf( sk12 ))]]) ).
thf(32,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ~ ( B @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_waybel10) ).
thf(235,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ~ ( B @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(236,plain,
! [B: $i,A: $i] :
( ~ ( B @ v3_struct_0 )
| ~ ( A @ ( B @ v7_yellow_0 ) )
| ~ ( A @ ( B @ m1_yellow_0 ) )
| ~ ( A @ l1_orders_2 )
| ~ ( A @ v3_lattice3 )
| ~ ( A @ v2_lattice3 )
| ~ ( A @ v1_lattice3 )
| ~ ( A @ v4_orders_2 )
| ~ ( A @ v3_orders_2 )
| ~ ( A @ v2_orders_2 ) ),
inference(cnf,[status(esa)],[235]) ).
thf(115,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ( A @ ( B @ v5_yellow_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_yellow_0) ).
thf(804,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( A @ ( B @ v7_yellow_0 ) )
=> ( A @ ( B @ v5_yellow_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(181,plain,
sk4 @ l1_struct_0,
inference(cnf,[status(esa)],[180]) ).
thf(937,plain,
! [A: $i] :
( ( ( sk1 @ l1_orders_2 )
!= ( A @ l1_orders_2 ) )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_lattice3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[145,344]) ).
thf(938,plain,
! [A: $i] :
( ( ( sk1 @ l1_orders_2 )
!= ( A @ l1_orders_2 ) )
| ~ ( A @ v3_struct_0 )
| ~ ( A @ v1_lattice3 ) ),
inference(simp,[status(thm)],[937]) ).
thf(939,plain,
( ~ ( sk1 @ v3_struct_0 )
| ~ ( sk1 @ v1_lattice3 ) ),
inference(pattern_uni,[status(thm)],[938:[bind(A,$thf( sk1 ))]]) ).
thf(943,plain,
( ~ ( sk1 @ v3_struct_0 )
| ~ $true ),
inference(rewrite,[status(thm)],[939,136]) ).
thf(944,plain,
~ ( sk1 @ v3_struct_0 ),
inference(simp,[status(thm)],[943]) ).
thf(1223,plain,
! [A: $i] :
( ( A != sk1 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,944]) ).
thf(1224,plain,
( ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1223:[bind(A,$thf( sk1 ))]]) ).
thf(3946,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3636,179]) ).
thf(3947,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( I @ v1_relat_1 ) )
| ( I @ ( H @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[3946]) ).
thf(3948,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[3947:[bind(A,$thf( J )),bind(B,$thf( L )),bind(C,$thf( N )),bind(D,$thf( P )),bind(E,$thf( R )),bind(F,$thf( T )),bind(G,$thf( V )),bind(H,$thf( H )),bind(I,$thf( k1_xboole_0 @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( J @ k8_relat_1 ) ))]]) ).
thf(4014,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[3948]) ).
thf(4176,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4014,179]) ).
thf(4177,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( J @ v1_relat_1 ) )
| ( J @ ( I @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4176]) ).
thf(4178,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4177:[bind(A,$thf( K )),bind(B,$thf( M )),bind(C,$thf( O )),bind(D,$thf( Q )),bind(E,$thf( S )),bind(F,$thf( U )),bind(G,$thf( W )),bind(H,$thf( Y )),bind(I,$thf( I )),bind(J,$thf( k1_xboole_0 @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) @ ( K @ k8_relat_1 ) ))]]) ).
thf(4240,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4178]) ).
thf(4573,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4240,179]) ).
thf(4574,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( K @ v1_relat_1 ) )
| ( K @ ( J @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[4573]) ).
thf(4575,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[4574:[bind(A,$thf( L )),bind(B,$thf( N )),bind(C,$thf( P )),bind(D,$thf( R )),bind(E,$thf( T )),bind(F,$thf( V )),bind(G,$thf( X )),bind(H,$thf( Z )),bind(I,$thf( ZB )),bind(J,$thf( J )),bind(K,$thf( k1_xboole_0 @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) @ ( L @ k8_relat_1 ) ))]]) ).
thf(4652,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[4575]) ).
thf(5011,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4652,179]) ).
thf(5012,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( L @ v1_relat_1 ) )
| ( L @ ( K @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[5011]) ).
thf(5013,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[5012:[bind(A,$thf( M )),bind(B,$thf( O )),bind(C,$thf( Q )),bind(D,$thf( S )),bind(E,$thf( U )),bind(F,$thf( W )),bind(G,$thf( Y )),bind(H,$thf( ZA )),bind(I,$thf( ZC )),bind(J,$thf( ZE )),bind(K,$thf( K )),bind(L,$thf( k1_xboole_0 @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) @ ( M @ k8_relat_1 ) ))]]) ).
thf(5092,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[5013]) ).
thf(7246,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5092,179]) ).
thf(7247,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7246]) ).
thf(7248,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7247:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZF )),bind(K,$thf( ZH )),bind(L,$thf( L )),bind(M,$thf( k1_xboole_0 @ ( ZH @ k8_relat_1 ) @ ( ZF @ k8_relat_1 ) @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).
thf(7331,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7248]) ).
thf(7962,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( N @ v1_relat_1 ) )
| ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7331,179]) ).
thf(7963,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( k1_xboole_0 @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( N @ v1_relat_1 ) )
| ( N @ ( M @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7962]) ).
thf(7964,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7963:[bind(A,$thf( O )),bind(B,$thf( Q )),bind(C,$thf( S )),bind(D,$thf( U )),bind(E,$thf( W )),bind(F,$thf( Y )),bind(G,$thf( ZA )),bind(H,$thf( ZC )),bind(I,$thf( ZE )),bind(J,$thf( ZG )),bind(K,$thf( ZI )),bind(L,$thf( ZK )),bind(M,$thf( M )),bind(N,$thf( k1_xboole_0 @ ( ZK @ k8_relat_1 ) @ ( ZI @ k8_relat_1 ) @ ( ZG @ k8_relat_1 ) @ ( ZE @ k8_relat_1 ) @ ( ZC @ k8_relat_1 ) @ ( ZA @ k8_relat_1 ) @ ( Y @ k8_relat_1 ) @ ( W @ k8_relat_1 ) @ ( U @ k8_relat_1 ) @ ( S @ k8_relat_1 ) @ ( Q @ k8_relat_1 ) @ ( O @ k8_relat_1 ) ))]]) ).
thf(8059,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( k1_xboole_0 @ ( M @ k8_relat_1 ) @ ( L @ k8_relat_1 ) @ ( K @ k8_relat_1 ) @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7964]) ).
thf(1091,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk25 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,969]) ).
thf(1092,plain,
( ( sk25 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1091:[bind(A,$thf( sk14 ))]]) ).
thf(672,plain,
sk26 @ v3_lattice3,
inference(cnfConj,[status(thm)],[664]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v24_waybel_0 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
thf(764,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v24_waybel_0 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_yellow_0 )
& ( A @ v2_yellow_0 )
& ( A @ v1_yellow_0 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(61,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v24_waybel_0 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel_8) ).
thf(406,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v24_waybel_0 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(219,plain,
~ ( sk9 @ v1_xboole_0 ),
inference(cnfConj,[status(thm)],[218]) ).
thf(104,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ m1_yellow_0 ) )
& ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
thf(736,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ m1_yellow_0 ) )
& ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(230,plain,
! [A: $i] :
( ( A @ v1_finset_1 )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[229]) ).
thf(80,axiom,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc15_waybel10) ).
thf(567,plain,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( A @ ( B @ v22_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_waybel_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v7_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v5_yellow_0 ) )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(649,plain,
sk25 @ v25_waybel_0,
inference(cnfConj,[status(thm)],[646]) ).
thf(208,plain,
! [A: $i] :
( ( A @ sk7 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[205]) ).
thf(1763,plain,
! [B: $i,A: $i] :
( ( A != sk14 )
| ( B != sk10 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[169,971]) ).
thf(1764,plain,
! [A: $i] :
( ( A != sk10 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1763:[bind(A,$thf( sk14 ))]]) ).
thf(1969,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk10 @ v1_xboole_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1764]) ).
thf(117,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v2_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_yellow_0) ).
thf(811,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_yellow_0 ) )
=> ( ( ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v2_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(758,plain,
sk27 @ v1_funct_1,
inference(cnfConj,[status(thm)],[756]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( ( B @ v1_funct_1 )
& ( B @ v1_relat_1 ) )
=> ( ( B @ ( A @ k8_relat_1 ) @ v1_funct_1 )
& ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
thf(345,plain,
! [A: $i,B: $i] :
( ( ( B @ v1_funct_1 )
& ( B @ v1_relat_1 ) )
=> ( ( B @ ( A @ k8_relat_1 ) @ v1_funct_1 )
& ( B @ ( A @ k8_relat_1 ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(69,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_1) ).
thf(483,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(251,plain,
sk10 @ v1_orders_2,
inference(cnfConj,[status(thm)],[250]) ).
thf(198,plain,
! [A: $i] :
( ( A @ sk5 @ v1_finset_1 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[195]) ).
thf(2253,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1154]) ).
thf(2254,plain,
( ( ( sk26 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2253]) ).
thf(2261,plain,
( ( sk26 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2254]) ).
thf(114,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_lattice3 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_lattice3 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel_8) ).
thf(799,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_lattice3 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_lattice3 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel_1) ).
thf(726,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(668,plain,
sk26 @ v2_yellow_0,
inference(cnfConj,[status(thm)],[664]) ).
thf(155,plain,
! [B: $i,A: $i] :
( ( B @ v3_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) ),
inference(cnfConj,[status(thm)],[152]) ).
thf(2435,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_orders_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1264]) ).
thf(2436,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v3_orders_2 ) ),
inference(simp,[status(thm)],[2435]) ).
thf(2439,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v3_orders_2 ) ),
inference(simp,[status(thm)],[2436]) ).
thf(119,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v2_funct_1 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel_1) ).
thf(827,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v2_funct_1 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(89,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ ( C @ v5_waybel_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_waybel_1) ).
thf(636,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( A @ ( B @ ( C @ v5_waybel_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(306,plain,
sk12 @ v3_orders_2,
inference(cnfConj,[status(thm)],[303]) ).
thf(653,plain,
sk25 @ v3_waybel_3,
inference(cnfConj,[status(thm)],[646]) ).
thf(658,plain,
sk25 @ v1_yellow_0,
inference(cnfConj,[status(thm)],[646]) ).
thf(135,plain,
sk1 @ v4_orders_2,
inference(cnfConj,[status(thm)],[132]) ).
thf(563,plain,
sk20 @ v3_yellow_0,
inference(cnfConj,[status(thm)],[552]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(267,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(101,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_yellow_0 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
thf(722,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v3_yellow_0 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(675,plain,
sk26 @ v3_yellow_0,
inference(cnfConj,[status(thm)],[664]) ).
thf(1165,plain,
! [A: $i] :
( ( A != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( k1_xboole_0 @ v1_lattice3 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,936]) ).
thf(1166,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( k1_xboole_0 @ v1_lattice3 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1165:[bind(A,$thf( sk14 ))]]) ).
thf(1207,plain,
! [A: $i] :
( ( A != sk1 )
| ( k1_xboole_0 @ v4_orders_2 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,135]) ).
thf(1208,plain,
( ( k1_xboole_0 @ v4_orders_2 )
| ~ ( sk1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1207:[bind(A,$thf( sk1 ))]]) ).
thf(255,plain,
sk10 @ v4_orders_2,
inference(cnfConj,[status(thm)],[250]) ).
thf(2816,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[196,185]) ).
thf(2817,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2816]) ).
thf(2818,plain,
! [A: $i] :
( ( A @ ( A @ sk5 @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2817:[bind(A,$thf( D )),bind(B,$thf( D @ sk5 )),bind(C,$thf( D ))]]) ).
thf(2846,plain,
! [A: $i] :
( ( A @ ( A @ sk5 @ r1_tarski ) )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2818]) ).
thf(553,plain,
sk20 @ v2_lattice3,
inference(cnfConj,[status(thm)],[552]) ).
thf(120,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v1_lattice3 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_lattice3 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel_8) ).
thf(836,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v1_lattice3 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_lattice3 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ( ( B @ v2_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v2_membered ) )
& ( ( B @ v1_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v2_membered ) ) ),
inference(cnf,[status(esa)],[160]) ).
thf(162,plain,
! [B: $i,A: $i] :
( ( B @ v1_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v2_membered ) ),
inference(cnfConj,[status(thm)],[161]) ).
thf(648,plain,
sk25 @ v3_orders_2,
inference(cnfConj,[status(thm)],[646]) ).
thf(2574,plain,
( ( ( sk10 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1260]) ).
thf(2575,plain,
( ( ( sk10 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2574]) ).
thf(2582,plain,
( ( sk10 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2575]) ).
thf(111,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_2) ).
thf(776,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(74,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v3_waybel_3 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_waybel34 ) ) )
=> ( B @ ( A @ ( C @ v22_waybel_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_waybel34) ).
thf(525,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v3_waybel_3 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( A @ ( B @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_waybel34 ) ) )
=> ( B @ ( A @ ( C @ v22_waybel_0 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(557,plain,
sk20 @ l1_orders_2,
inference(cnfConj,[status(thm)],[552]) ).
thf(81,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_yellow_0) ).
thf(580,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(124,axiom,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel34) ).
thf(872,plain,
! [A: $i,B: $i] :
( ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ( B @ v1_funct_1 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
& ( A @ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( B @ ( A @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_waybel_0) ).
thf(282,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
& ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel34) ).
thf(327,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v18_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_lattice3 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v25_waybel_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v24_waybel_0 )
& ( B @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_yellow_0 ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_yellow_0 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v4_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v2_orders_2 )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v1_orders_2 )
& ~ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(1229,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk10 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,971]) ).
thf(1230,plain,
( ( sk10 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1229:[bind(A,$thf( sk14 ))]]) ).
thf(310,plain,
sk12 @ v1_orders_2,
inference(cnfConj,[status(thm)],[303]) ).
thf(100,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_8) ).
thf(717,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v2_orders_2 )
& ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_waybel_0) ).
thf(359,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(1129,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,141]) ).
thf(1130,plain,
( ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
| ~ ( sk2 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1129:[bind(A,$thf( sk2 ))]]) ).
thf(673,plain,
sk26 @ v4_orders_2,
inference(cnfConj,[status(thm)],[664]) ).
thf(175,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) )
| ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) ) ),
inference(cnfConj,[status(thm)],[173]) ).
thf(177,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( A @ ( B @ m1_relset_1 ) ) )
| ( B = D )
| ( ( B @ ( A @ g1_orders_2 ) )
!= ( D @ ( C @ g1_orders_2 ) ) ) ),
inference(lifteq,[status(thm)],[175]) ).
thf(1187,plain,
! [A: $i] :
( ( A != sk26 )
| ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,990]) ).
thf(1188,plain,
( ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1187:[bind(A,$thf( sk26 ))]]) ).
thf(1185,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk26 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,990]) ).
thf(1186,plain,
( ( sk26 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1185:[bind(A,$thf( sk14 ))]]) ).
thf(2418,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1224]) ).
thf(2419,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2418]) ).
thf(2426,plain,
( ( sk1 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2419]) ).
thf(656,plain,
sk25 @ v2_yellow_0,
inference(cnfConj,[status(thm)],[646]) ).
thf(143,plain,
sk1 @ u1_struct_0 @ ( sk1 @ u1_struct_0 @ ( sk2 @ m2_relset_1 ) ),
inference(cnfConj,[status(thm)],[132]) ).
thf(123,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_1) ).
thf(859,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v8_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v7_waybel_1 ) )
& ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(154,plain,
! [B: $i,A: $i] :
( ( B @ v2_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v3_membered ) ),
inference(cnfConj,[status(thm)],[152]) ).
thf(1283,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk14 != sk1 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,972]) ).
thf(1284,plain,
( ( sk14 != sk1 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1283:[bind(A,$thf( sk14 ))]]) ).
thf(1093,plain,
! [A: $i] :
( ( A != sk25 )
| ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,969]) ).
thf(1094,plain,
( ( sk14 != k1_xboole_0 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1093:[bind(A,$thf( sk25 ))]]) ).
thf(1139,plain,
! [A: $i] :
( ( A != sk14 )
| ( sk20 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,970]) ).
thf(1140,plain,
( ( sk20 != sk14 )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1139:[bind(A,$thf( sk14 ))]]) ).
thf(1083,plain,
! [A: $i] :
( ( A != sk20 )
| ( k1_xboole_0 @ v24_waybel_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,565]) ).
thf(1084,plain,
( ( k1_xboole_0 @ v24_waybel_0 )
| ~ ( sk20 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1083:[bind(A,$thf( sk20 ))]]) ).
thf(7584,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[6987,179]) ).
thf(7585,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( K @ ( J @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 )
!= ( M @ v1_relat_1 ) )
| ( M @ ( L @ k8_relat_1 ) @ v1_relat_1 ) ),
inference(simp,[status(thm)],[7584]) ).
thf(7586,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(pattern_uni,[status(thm)],[7585:[bind(A,$thf( N )),bind(B,$thf( P )),bind(C,$thf( R )),bind(D,$thf( T )),bind(E,$thf( V )),bind(F,$thf( X )),bind(G,$thf( Z )),bind(H,$thf( ZB )),bind(I,$thf( ZD )),bind(J,$thf( ZH )),bind(K,$thf( ZI )),bind(L,$thf( L )),bind(M,$thf( ZI @ ( ZH @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( ZD @ k8_relat_1 ) @ ( ZB @ k8_relat_1 ) @ ( Z @ k8_relat_1 ) @ ( X @ k8_relat_1 ) @ ( V @ k8_relat_1 ) @ ( T @ k8_relat_1 ) @ ( R @ k8_relat_1 ) @ ( P @ k8_relat_1 ) @ ( N @ k8_relat_1 ) ))]]) ).
thf(7676,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( L @ ( K @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ sk6 @ ( J @ k8_relat_1 ) @ ( I @ k8_relat_1 ) @ ( H @ k8_relat_1 ) @ ( G @ k8_relat_1 ) @ ( F @ k8_relat_1 ) @ ( E @ k8_relat_1 ) @ ( D @ k8_relat_1 ) @ ( C @ k8_relat_1 ) @ ( B @ k8_relat_1 ) @ ( A @ k8_relat_1 ) @ v1_relat_1 ),
inference(simp,[status(thm)],[7586]) ).
thf(556,plain,
sk20 @ v1_orders_2,
inference(cnfConj,[status(thm)],[552]) ).
thf(109,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ m2_relset_1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel_1) ).
thf(759,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ m2_relset_1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(671,plain,
sk26 @ v3_orders_2,
inference(cnfConj,[status(thm)],[664]) ).
thf(97,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v4_waybel_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel_1) ).
thf(699,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v4_waybel_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(2279,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_orders_2 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1208]) ).
thf(2280,plain,
( ( ( sk1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( k1_xboole_0 @ v4_orders_2 ) ),
inference(simp,[status(thm)],[2279]) ).
thf(2283,plain,
( ( sk1 != k1_xboole_0 )
| ( k1_xboole_0 @ v4_orders_2 ) ),
inference(simp,[status(thm)],[2280]) ).
thf(127,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
thf(896,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k3_waybel_1 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(304,plain,
sk12 @ v4_orders_2,
inference(cnfConj,[status(thm)],[303]) ).
thf(88,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_8) ).
thf(632,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v1_orders_2 )
& ~ ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) @ v3_struct_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(171,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk3 ) @ m1_relset_1 ) ) ),
inference(cnf,[status(esa)],[170]) ).
thf(112,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_yellow_9) ).
thf(781,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v21_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v17_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ~ ( C @ v1_xboole_0 )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(652,plain,
sk25 @ v4_orders_2,
inference(cnfConj,[status(thm)],[646]) ).
thf(50,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(351,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)],[50]) ).
thf(207,plain,
! [A: $i] :
( ~ ( A @ sk7 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[205]) ).
thf(810,plain,
sk29 @ v1_funct_1,
inference(cnfConj,[status(thm)],[807]) ).
thf(1308,plain,
k1_xboole_0 @ v1_funct_1,
inference(rewrite,[status(thm)],[810,1042]) ).
thf(94,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( A @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v5_orders_3 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel10) ).
thf(684,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ ( A @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v5_orders_3 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_partfun1 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v2_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_2 ) ) )
& ~ ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_xboole_0 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_funct_1 )
& ( C @ ( B @ ( A @ k2_waybel_1 ) ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(2893,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2885,165]) ).
thf(2894,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2893]) ).
thf(2895,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2894:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ k1_zfmisc_1 ))]]) ).
thf(2917,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2895]) ).
thf(5482,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[196,210]) ).
thf(5483,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) ) )
| ( D @ v1_relat_1 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5482]) ).
thf(5484,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ sk5 @ v1_relat_1 )
| ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[5483:[bind(A,$thf( G @ ( F @ k2_zfmisc_1 ) )),bind(B,$thf( F )),bind(C,$thf( G )),bind(D,$thf( G @ ( F @ k2_zfmisc_1 ) @ sk5 ))]]) ).
thf(5517,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ sk5 @ v1_relat_1 )
| ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[5484]) ).
thf(1005,plain,
( ( ( sk29 @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[809,219]) ).
thf(1006,plain,
( ( sk29 @ v1_xboole_0 )
!= ( sk9 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1005]) ).
thf(1007,plain,
sk29 != sk9,
inference(simp,[status(thm)],[1006]) ).
thf(1309,plain,
sk9 != k1_xboole_0,
inference(rewrite,[status(thm)],[1007,1042]) ).
thf(107,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( C @ ( B @ ( A @ k2_waybel_1 ) ) )
= ( C @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ k8_relat_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_waybel_1) ).
thf(752,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( B @ l1_orders_2 )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( C @ ( B @ ( A @ k2_waybel_1 ) ) )
= ( C @ ( C @ ( B @ ( A @ k2_yellow_2 ) ) @ u1_struct_0 @ k8_relat_1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(63,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ? [B: $i] :
( ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v25_waybel_0 )
& ( B @ v24_waybel_0 )
& ( A @ ( B @ v4_waybel_0 ) )
& ( A @ ( B @ v3_waybel_0 ) )
& ( A @ ( B @ v7_yellow_0 ) )
& ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v3_yellow_0 )
& ( B @ v2_yellow_0 )
& ( B @ v1_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel21) ).
thf(432,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v3_lattice3 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ? [B: $i] :
( ( B @ v3_lattice3 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v25_waybel_0 )
& ( B @ v24_waybel_0 )
& ( A @ ( B @ v4_waybel_0 ) )
& ( A @ ( B @ v3_waybel_0 ) )
& ( A @ ( B @ v7_yellow_0 ) )
& ( A @ ( B @ v5_yellow_0 ) )
& ( A @ ( B @ v4_yellow_0 ) )
& ( B @ v3_yellow_0 )
& ( B @ v2_yellow_0 )
& ( B @ v1_yellow_0 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_yellow_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(6784,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ v1_finset_1 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,230]) ).
thf(6785,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ v1_finset_1 ) ),
inference(simp,[status(thm)],[6784]) ).
thf(6786,plain,
k1_xboole_0 @ v1_finset_1,
inference(pattern_uni,[status(thm)],[6785:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
thf(262,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ m2_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k2_waybel34 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(4347,plain,
( ( ( sk2 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1130]) ).
thf(4348,plain,
( ( ( sk2 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) ) ),
inference(simp,[status(thm)],[4347]) ).
thf(4357,plain,
( ( sk2 != k1_xboole_0 )
| ( sk1 @ ( k1_xboole_0 @ v7_waybel_1 ) ) ),
inference(simp,[status(thm)],[4348]) ).
thf(564,plain,
sk20 @ v25_waybel_0,
inference(cnfConj,[status(thm)],[552]) ).
thf(305,plain,
sk12 @ v3_lattice3,
inference(cnfConj,[status(thm)],[303]) ).
thf(358,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk15 ) @ m2_relset_1 ) ) ),
inference(cnf,[status(esa)],[357]) ).
thf(68,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v2_waybel_3 )
& ( A @ v24_waybel_0 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ v3_waybel_3 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_waybel_3) ).
thf(474,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v2_waybel_3 )
& ( A @ v24_waybel_0 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ v3_waybel_3 )
& ( A @ v1_yellow_0 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(1055,plain,
! [A: $i] :
( ( A != sk26 )
| ( k1_xboole_0 @ v1_yellow_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[203,666]) ).
thf(1056,plain,
( ( k1_xboole_0 @ v1_yellow_0 )
| ~ ( sk26 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1055:[bind(A,$thf( sk26 ))]]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
thf(400,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( ( A @ v3_lattice3 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v25_waybel_0 )
& ( A @ v24_waybel_0 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(1467,plain,
! [B: $i,A: $i] :
( ( A != sk25 )
| ( B != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( B @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[169,969]) ).
thf(1468,plain,
! [A: $i] :
( ( A != sk14 )
| ~ ( sk14 @ v3_struct_0 )
| ~ ( A @ v1_xboole_0 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[1467:[bind(A,$thf( sk25 ))]]) ).
thf(2040,plain,
( ~ ( sk14 @ v3_struct_0 )
| ~ ( sk14 @ v1_xboole_0 )
| ~ ( sk25 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[1468]) ).
thf(1338,plain,
( ( ( sk8 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1096]) ).
thf(1339,plain,
( ( ( sk8 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1338]) ).
thf(1346,plain,
( ( sk8 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[1339]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice5) ).
thf(294,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ? [C: $i] :
( ( B @ ( A @ ( C @ v20_waybel_0 ) ) )
& ( B @ ( A @ ( C @ v19_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(2119,plain,
( ( ( sk20 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1114]) ).
thf(2120,plain,
( ( ( sk20 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2119]) ).
thf(2127,plain,
( ( sk20 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2120]) ).
thf(67,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_waybel_1) ).
thf(464,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v7_waybel_1 ) )
& ( A @ ( B @ v6_waybel_1 ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ v1_funct_2 ) ) )
& ~ ( B @ v1_xboole_0 )
& ( B @ v1_funct_1 )
& ( B @ v1_relat_1 )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( B @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(2819,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ~ $true
| ( A @ v1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[196,165]) ).
thf(2820,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ m1_subset_1 ) )
!= ( C @ ( B @ m1_subset_1 ) ) )
| ( C @ ( B @ r2_hidden ) )
| ( C @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2819]) ).
thf(2821,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(pattern_uni,[status(thm)],[2820:[bind(A,$thf( E )),bind(B,$thf( E @ sk5 )),bind(C,$thf( E @ k1_zfmisc_1 ))]]) ).
thf(2847,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ ( A @ sk5 @ r2_hidden ) )
| ( A @ k1_zfmisc_1 @ v1_xboole_0 )
| ( A @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[2821]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ m2_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel34) ).
thf(277,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ( B @ l1_orders_2 )
& ( B @ v2_lattice3 )
& ( B @ v1_lattice3 )
& ( B @ v4_orders_2 )
& ( B @ v3_orders_2 )
& ( B @ v2_orders_2 )
& ( A @ l1_orders_2 )
& ( A @ v2_lattice3 )
& ( A @ v1_lattice3 )
& ( A @ v4_orders_2 )
& ( A @ v3_orders_2 )
& ( A @ v2_orders_2 ) )
=> ( ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ m2_relset_1 ) ) )
& ( A @ u1_struct_0 @ ( B @ u1_struct_0 @ ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k1_waybel34 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
thf(369,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ( B @ v2_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v2_membered ) ),
inference(cnfConj,[status(thm)],[161]) ).
thf(254,plain,
sk10 @ v3_lattice3,
inference(cnfConj,[status(thm)],[250]) ).
thf(215,plain,
sk8 @ l1_struct_0,
inference(cnfConj,[status(thm)],[214]) ).
thf(98,axiom,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ~ ( C @ v1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel17) ).
thf(708,plain,
! [A: $i,B: $i] :
( ( ( B @ l1_orders_2 )
& ( B @ v4_orders_2 )
& ( B @ v2_orders_2 )
& ~ ( B @ v3_struct_0 )
& ( A @ l1_orders_2 )
& ( A @ v4_orders_2 )
& ( A @ v2_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ! [C: $i] :
( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ m1_relset_1 ) ) )
=> ( ( ( B @ ( A @ ( C @ v22_waybel_0 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 ) )
=> ( ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_partfun1 ) ) )
& ( B @ ( A @ ( C @ v5_orders_3 ) ) )
& ( B @ u1_struct_0 @ ( A @ u1_struct_0 @ ( C @ v1_funct_2 ) ) )
& ( C @ v1_funct_1 )
& ~ ( C @ v1_xboole_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(309,plain,
sk12 @ v2_orders_2,
inference(cnfConj,[status(thm)],[303]) ).
thf(659,plain,
sk25 @ v24_waybel_0,
inference(cnfConj,[status(thm)],[646]) ).
thf(560,plain,
sk20 @ v2_orders_2,
inference(cnfConj,[status(thm)],[552]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v1_orders_2 )
=> ( A
= ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
thf(676,plain,
! [A: $i] :
( ( A @ l1_orders_2 )
=> ( ( A @ v1_orders_2 )
=> ( A
= ( A @ u1_orders_2 @ ( A @ u1_struct_0 @ g1_orders_2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(2098,plain,
( ( ( sk12 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1307,1106]) ).
thf(2099,plain,
( ( ( sk12 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2098]) ).
thf(2106,plain,
( ( sk12 != k1_xboole_0 )
| ~ ( k1_xboole_0 @ v3_struct_0 ) ),
inference(simp,[status(thm)],[2099]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ( B @ v1_membered )
| ~ ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
| ~ ( A @ v1_membered ) ),
inference(cnf,[status(esa)],[221]) ).
thf(71,axiom,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_waybel_1) ).
thf(496,plain,
! [A: $i] :
( ( ( A @ l1_orders_2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ ( A @ k7_grcat_1 @ v6_waybel_1 ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v23_waybel_0 ) ) )
& ( A @ ( A @ ( A @ k7_grcat_1 @ v5_orders_3 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_partfun1 ) ) )
& ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ~ ( A @ k7_grcat_1 @ v1_xboole_0 )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ l1_struct_0 )
=> ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_waybel10) ).
thf(454,plain,
! [A: $i] :
( ( A @ l1_struct_0 )
=> ( ( A @ u1_struct_0 @ ( A @ u1_struct_0 @ ( A @ k7_grcat_1 @ v1_funct_2 ) ) )
& ( A @ k7_grcat_1 @ v2_funct_1 )
& ( A @ k7_grcat_1 @ v1_funct_1 )
& ( A @ k7_grcat_1 @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(10925,plain,
$false,
inference(e,[status(thm)],[645,2630,249,2480,234,555,666,629,5561,365,138,1168,2295,6317,518,170,217,2644,741,655,269,308,2947,1142,379,385,1310,4097,142,715,1260,6241,153,4762,670,185,841,288,565,1228,651,257,4546,5306,4151,6987,1264,344,3125,357,196,1132,3855,460,157,559,189,325,7436,969,606,5829,228,216,924,179,806,905,492,164,211,253,147,2530,7954,133,660,3756,1943,507,527,206,734,221,307,2011,529,661,546,2646,220,5519,233,452,1306,201,1311,534,894,746,1042,1355,302,160,561,165,260,349,5512,192,693,2150,137,197,1920,625,4385,665,5534,757,551,3408,5515,1106,566,229,847,252,5937,1360,697,1270,650,5006,356,169,141,156,615,1096,188,256,1082,225,554,193,669,901,5786,2240,7572,679,970,3573,212,647,654,4482,1060,5217,393,1114,911,2505,134,792,311,3856,657,1054,558,674,586,343,237,1286,1035,662,888,906,412,2556,166,148,180,149,375,1154,819,176,191,3636,204,259,562,904,5627,2674,936,611,144,3002,1058,236,804,181,1224,8059,1092,159,672,764,1194,187,406,172,219,6179,736,990,230,567,649,2802,6604,208,1969,1307,811,5584,758,345,2757,483,251,4652,198,2261,140,799,213,726,668,155,2439,827,636,223,306,226,653,658,6704,135,563,267,1102,722,675,1166,1208,663,255,2449,2846,553,836,6875,162,944,648,209,3278,355,2582,7070,194,145,776,525,557,580,872,282,150,971,327,1230,310,3334,717,6125,359,1130,1220,199,673,4240,177,182,1188,1186,7331,2426,656,2722,143,859,154,1284,1094,1140,231,2458,1084,7676,556,2885,203,903,759,1126,671,3171,2443,699,2283,896,3709,304,258,632,171,139,781,158,652,351,235,207,667,1308,6521,684,2917,6462,5517,1309,1116,151,752,4014,432,6786,262,146,190,4357,564,305,210,5092,358,474,1056,400,2040,1346,294,136,2127,464,2847,131,178,277,369,163,200,254,5877,3212,215,708,972,309,659,1037,560,755,676,2106,222,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT370+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
% 0.14/0.41 % Computer : n015.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Fri Sep 25 21:31:43 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.83/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.79/1.33 % [INFO] Parsing done (326ms).
% 1.79/1.34 % [INFO] Running in sequential loop mode.
% 2.82/1.73 % [INFO] eprover registered as external prover.
% 2.82/1.73 % [INFO] Scanning for conjecture ...
% 3.21/1.90 % [INFO] Found a conjecture (or negated_conjecture) and 147 axioms. Running axiom selection ...
% 3.63/2.06 % [INFO] Axiom selection finished. Selected 128 axioms (removed 19 axioms).
% 4.37/2.27 % [INFO] Problem is first-order (TPTP FOF).
% 4.37/2.29 % [INFO] Type checking passed.
% 4.59/2.30 % [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 ...
% 132.38/37.14 % External prover 'e' found a proof!
% 132.38/37.14 % [INFO] Killing All external provers ...
% 132.38/37.14 % Time passed: 36586ms (effective reasoning time: 35792ms)
% 132.38/37.14 % 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)>
% 132.38/37.15 % Axioms used in derivation (128): d17_waybel_1, dt_l1_orders_2, fc10_waybel34, redefinition_m2_relset_1, dt_k7_grcat_1, cc1_waybel17, rc4_yellow_9, cc2_finset_1, cc1_waybel21, fc3_waybel_1, fc4_waybel10, dt_k1_waybel34, dt_k2_waybel_1, fc9_waybel34, cc7_waybel_0, fc10_waybel_8, fc3_waybel10, rc4_finset_1, t1_subset, rc2_waybel10, rc1_waybel21, rc2_yellow_0, fc5_waybel_1, fc2_yellow_2, rc1_waybel10, fc4_waybel_1, t25_waybel34, cc12_waybel_0, rc3_funct_1, rc3_waybel_1, cc1_waybel_0, cc4_waybel_3, cc1_lattice3, dt_m2_relset_1, rc3_yellow_0, cc14_waybel_0, cc11_waybel_0, rc13_waybel_0, rc1_funct_1, dt_u1_orders_2, cc3_waybel_1, rc1_lattice3, fc8_waybel_8, fc6_waybel_8, rc2_lattice3, t6_boole, fc2_waybel34, t5_subset, cc9_waybel_0, existence_m1_relset_1, fc7_waybel_8, d16_waybel_1, cc9_yellow_0, cc11_yellow_0, t4_subset, fc9_waybel_8, dt_k2_yellow_2, cc2_waybel_1, t7_boole, existence_l1_orders_2, cc1_funct_1, rc3_struct_0, fc1_waybel34, fc5_funct_1, cc13_waybel_0, dt_g1_orders_2, rc2_funct_1, cc4_membered, t40_waybel34, cc1_yellow_2, rc3_yellow_9, cc1_waybel10, cc6_yellow_0, cc18_membered, abstractness_v1_orders_2, cc4_yellow_0, fc10_waybel10, cc2_funct_1, t3_subset, cc1_relset_1, existence_m1_subset_1, cc2_waybel10, dt_k8_relat_1, rc2_waybel_3, rc1_waybel_1, t39_waybel34, fc15_waybel10, existence_m2_relset_1, free_g1_orders_2, cc5_waybel_3, fc1_struct_0, cc7_yellow_0, rc4_yellow_0, reflexivity_r1_tarski, fc2_waybel_1, rc2_waybel_1, cc17_membered, cc10_waybel_0, existence_m1_yellow_0, rc3_finset_1, cc6_waybel_0, dt_m1_yellow_0, cc5_yellow_0, rc1_finset_1, fc4_waybel_8, cc1_finset_1, cc4_waybel_1, cc1_yellow_0, t8_boole, rc5_struct_0, t2_subset, dt_k3_waybel_1, fc2_waybel10, cc8_waybel_0, cc2_lattice3, cc3_membered, fc6_waybel_1, existence_l1_struct_0, cc8_yellow_0, cc16_membered, rc1_lattice5, dt_k2_waybel34, fc14_finset_1, cc3_yellow_0, cc1_waybel_1, fc5_waybel_8, antisymmetry_r2_hidden, fc7_waybel_1
% 132.38/37.15 % No. of inferences in proof: 877
% 132.38/37.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 36586 ms resp. 35792 ms w/o parsing
% 133.67/37.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 133.67/37.45 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------