%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : TOP029+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 : n011.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 09:52:30 AM UTC 2026
% Result : Theorem 119.77s 30.19s
% Output : Refutation 109.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 116
% Syntax : Number of formulae : 328 ( 78 unt; 0 typ; 12 def)
% Number of atoms : 1528 ( 78 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3617 ( 475 ~; 114 |; 693 &;1998 @)
% ( 4 <=>; 333 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 15 con; 0-2 aty)
% Number of variables : 409 ( 0 ^; 330 !; 67 ?; 409 :)
% ( 0 !>; 0 ?*; 0 @-; 12 @+)
% Comments :
%------------------------------------------------------------------------------
thf(v3_struct_0_decl,type,
v3_struct_0: $i > $o ).
thf(v2_pre_topc_decl,type,
v2_pre_topc: $i > $o ).
thf(l1_pre_topc_decl,type,
l1_pre_topc: $i > $o ).
thf(v2_t_0topsp_decl,type,
v2_t_0topsp: $i > $o ).
thf(m2_tsp_1_decl,type,
m2_tsp_1: $i > $i > $o ).
thf(v1_pre_topc_decl,type,
v1_pre_topc: $i > $o ).
thf(v2_tsp_2_decl,type,
v2_tsp_2: $i > $i > $o ).
thf(r2_hidden_decl,type,
r2_hidden: $i > $i > $o ).
thf(v4_membered_decl,type,
v4_membered: $i > $o ).
thf(m1_subset_1_decl,type,
m1_subset_1: $i > $i > $o ).
thf(v1_xcmplx_0_decl,type,
v1_xcmplx_0: $i > $o ).
thf(v1_xreal_0_decl,type,
v1_xreal_0: $i > $o ).
thf(v1_int_1_decl,type,
v1_int_1: $i > $o ).
thf(v1_rat_1_decl,type,
v1_rat_1: $i > $o ).
thf(v5_membered_decl,type,
v5_membered: $i > $o ).
thf(v4_ordinal2_decl,type,
v4_ordinal2: $i > $o ).
thf(v3_membered_decl,type,
v3_membered: $i > $o ).
thf(v2_membered_decl,type,
v2_membered: $i > $o ).
thf(k1_zfmisc_1_decl,type,
k1_zfmisc_1: $i > $i ).
thf(v1_membered_decl,type,
v1_membered: $i > $o ).
thf(v1_xboole_0_decl,type,
v1_xboole_0: $i > $o ).
thf(l1_struct_0_decl,type,
l1_struct_0: $i > $o ).
thf(r1_tarski_decl,type,
r1_tarski: $i > $i > $o ).
thf(k1_xboole_0_decl,type,
k1_xboole_0: $i ).
thf(g1_pre_topc_decl,type,
g1_pre_topc: $i > $i > $i ).
thf(m1_pre_topc_decl,type,
m1_pre_topc: $i > $i > $o ).
thf(v2_tex_2_decl,type,
v2_tex_2: $i > $i > $o ).
thf(v1_borsuk_1_decl,type,
v1_borsuk_1: $i > $i > $o ).
thf(u1_struct_0_decl,type,
u1_struct_0: $i > $i ).
thf(u1_pre_topc_decl,type,
u1_pre_topc: $i > $i ).
thf(v2_tops_1_decl,type,
v2_tops_1: $i > $i > $o ).
thf(v3_pre_topc_decl,type,
v3_pre_topc: $i > $i > $o ).
thf(v1_tsep_1_decl,type,
v1_tsep_1: $i > $i > $o ).
thf(v3_realset2_decl,type,
v3_realset2: $i > $o ).
thf(v4_pre_topc_decl,type,
v4_pre_topc: $i > $i > $o ).
thf(v1_tsp_1_decl,type,
v1_tsp_1: $i > $i > $o ).
thf(v1_tdlat_3_decl,type,
v1_tdlat_3: $i > $o ).
thf(v3_tops_1_decl,type,
v3_tops_1: $i > $i > $o ).
thf(v2_tdlat_3_decl,type,
v2_tdlat_3: $i > $o ).
thf(v1_tex_3_decl,type,
v1_tex_3: $i > $i > $o ).
thf(v3_tdlat_3_decl,type,
v3_tdlat_3: $i > $o ).
thf(v1_tsp_2_decl,type,
v1_tsp_2: $i > $i > $o ).
thf(v4_tdlat_3_decl,type,
v4_tdlat_3: $i > $o ).
thf(v5_tdlat_3_decl,type,
v5_tdlat_3: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk14_decl,type,
sk14: $i ).
thf(sk15_decl,type,
sk15: $i ).
thf(sk19_decl,type,
sk19: $i ).
thf(sk24_decl,type,
sk24: $i ).
thf(sk25_decl,type,
sk25: $i ).
thf(sk26_decl,type,
sk26: $i ).
thf(sk27_decl,type,
sk27: $i ).
thf(sk31_decl,type,
sk31: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ? [C: $i] :
( ( A @ ( C @ v2_tsp_2 ) )
& ( C @ ( B @ m2_tsp_1 ) )
& ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( ( ( sk1 @ ( A @ m2_tsp_1 ) )
& ( A @ v2_t_0topsp )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( sk1 @ ( B @ v2_tsp_2 ) )
& ( B @ ( A @ m2_tsp_1 ) )
& ( sk1 @ ( B @ m2_tsp_1 ) )
& ( B @ v1_pre_topc ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] : ( A @ l1_struct_0 ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
( ( A @ v5_membered )
& ( A @ v4_membered )
& ( A @ v3_membered )
& ( A @ v2_membered )
& ( A @ v1_membered )
& ~ ( A @ v1_xboole_0 ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( @+[A: $i] :
( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(sk19_def,definition,
( sk19
= ( @+[A: $i] :
( ( A @ v2_t_0topsp )
& ~ ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(sk24_def,definition,
( sk24
= ( @+[A: $i] :
( ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( @+[A: $i] : ( A @ l1_pre_topc ) ) ) ).
thf(sk26_def,definition,
( sk26
= ( @+[A: $i] :
( ( A @ v1_pre_topc )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( @+[A: $i] :
( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(sk31_def,definition,
( sk31
= ( @+[A: $i] :
( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ) ) ) ).
thf(93,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ~ ( B @ v2_t_0topsp )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_tsp_1) ).
thf(525,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ~ ( B @ v2_t_0topsp )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(51,axiom,
? [A: $i] :
( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_tsp_1) ).
thf(313,plain,
? [A: $i] :
( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(314,plain,
( ~ ( sk15 @ v2_t_0topsp )
& ( sk15 @ v2_pre_topc )
& ( sk15 @ v1_pre_topc )
& ~ ( sk15 @ v3_realset2 )
& ~ ( sk15 @ v3_struct_0 )
& ( sk15 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[313]) ).
thf(320,plain,
sk15 @ v1_pre_topc,
inference(cnfConj,[status(thm)],[314]) ).
thf(1,conjecture,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ? [C: $i] :
( ( A @ ( C @ v2_tsp_2 ) )
& ( C @ ( B @ m2_tsp_1 ) )
& ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_tsp_2) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ? [C: $i] :
( ( A @ ( C @ v2_tsp_2 ) )
& ( C @ ( B @ m2_tsp_1 ) )
& ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(106,plain,
~ ! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ? [C: $i] :
( ( A @ ( C @ v2_tsp_2 ) )
& ( C @ ( B @ m2_tsp_1 ) )
& ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(107,plain,
! [A: $i] :
( ( ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ ( A @ ( sk2 @ m2_tsp_1 ) )
| ~ ( sk1 @ ( A @ m2_tsp_1 ) )
| ~ ( A @ v1_pre_topc ) )
& ( sk1 @ ( sk2 @ m2_tsp_1 ) )
& ( sk2 @ v2_t_0topsp )
& ~ ( sk2 @ v3_struct_0 )
& ( sk1 @ l1_pre_topc )
& ( sk1 @ v2_pre_topc )
& ~ ( sk1 @ v3_struct_0 ) ),
inference(cnf,[status(esa)],[106]) ).
thf(108,plain,
sk1 @ ( sk2 @ m2_tsp_1 ),
inference(cnfConj,[status(thm)],[107]) ).
thf(113,plain,
! [A: $i] :
( ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ ( A @ ( sk2 @ m2_tsp_1 ) )
| ~ ( sk1 @ ( A @ m2_tsp_1 ) )
| ~ ( A @ v1_pre_topc ) ),
inference(cnfConj,[status(thm)],[107]) ).
thf(595,plain,
! [A: $i] :
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( A @ ( sk2 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ $true
| ~ ( sk1 @ ( A @ m2_tsp_1 ) )
| ~ ( A @ v1_pre_topc ) ),
inference(paramod_ordered,[status(thm)],[108,113]) ).
thf(596,plain,
! [A: $i] :
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( A @ ( sk2 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ ( sk1 @ ( A @ m2_tsp_1 ) )
| ~ ( A @ v1_pre_topc ) ),
inference(simp,[status(thm)],[595]) ).
thf(597,plain,
( ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ ( sk1 @ ( sk1 @ m2_tsp_1 ) )
| ~ ( sk1 @ v1_pre_topc ) ),
inference(pattern_uni,[status(thm)],[596:[bind(A,$thf( sk1 ))]]) ).
thf(615,plain,
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( sk1 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ $true
| ~ ( sk1 @ v1_pre_topc ) ),
inference(paramod_ordered,[status(thm)],[108,597]) ).
thf(616,plain,
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( sk1 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ ( sk1 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[615]) ).
thf(617,plain,
( ( sk1 != sk1 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ ( sk1 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[616]) ).
thf(618,plain,
( ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ ( sk1 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[617]) ).
thf(643,plain,
( ( ( sk15 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[320,618]) ).
thf(644,plain,
( ( ( sk15 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[643]) ).
thf(645,plain,
( ( sk15 != sk1 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[644]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] : ( A @ ( B @ m2_tsp_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_tsp_1) ).
thf(365,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] : ( A @ ( B @ m2_tsp_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(84,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( A @ ( B @ v3_tops_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_tops_1) ).
thf(479,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( A @ ( B @ v3_tops_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(82,axiom,
? [A: $i] :
( ( A @ v1_pre_topc )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_pre_topc) ).
thf(466,plain,
? [A: $i] :
( ( A @ v1_pre_topc )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(467,plain,
( ( sk26 @ v1_pre_topc )
& ( sk26 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[466]) ).
thf(468,plain,
sk26 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[467]) ).
thf(98,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(555,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)],[98]) ).
thf(85,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_tops_1) ).
thf(481,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(18,axiom,
? [A: $i] :
( ( A @ v5_membered )
& ( A @ v4_membered )
& ( A @ v3_membered )
& ( A @ v2_membered )
& ( A @ v1_membered )
& ~ ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
thf(168,plain,
? [A: $i] :
( ( A @ v5_membered )
& ( A @ v4_membered )
& ( A @ v3_membered )
& ( A @ v2_membered )
& ( A @ v1_membered )
& ~ ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(169,plain,
( ( sk5 @ v5_membered )
& ( sk5 @ v4_membered )
& ( sk5 @ v3_membered )
& ( sk5 @ v2_membered )
& ( sk5 @ v1_membered )
& ~ ( sk5 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[168]) ).
thf(170,plain,
sk5 @ v3_membered,
inference(cnfConj,[status(thm)],[169]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(115,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(27,axiom,
! [A: $i,B: $i] : ( A @ ( A @ r1_tarski ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(217,plain,
! [A: $i] : ( A @ ( A @ r1_tarski ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(49,axiom,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(305,plain,
? [A: $i] :
( ~ ( A @ v3_struct_0 )
& ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(306,plain,
( ~ ( sk14 @ v3_struct_0 )
& ( sk14 @ l1_struct_0 ) ),
inference(cnf,[status(esa)],[305]) ).
thf(308,plain,
~ ( sk14 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[306]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ v4_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_int_1 )
& ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_membered) ).
thf(117,plain,
! [A: $i] :
( ( A @ v4_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_int_1 )
& ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ( ( B @ v1_rat_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) )
& ( ( B @ v1_int_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) )
& ( ( B @ v1_xreal_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) )
& ( ( B @ v1_xcmplx_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) ) ),
inference(cnf,[status(esa)],[117]) ).
thf(120,plain,
! [B: $i,A: $i] :
( ( B @ v1_xreal_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) ),
inference(cnfConj,[status(thm)],[118]) ).
thf(110,plain,
sk2 @ v2_t_0topsp,
inference(cnfConj,[status(thm)],[107]) ).
thf(317,plain,
~ ( sk15 @ v2_t_0topsp ),
inference(cnfConj,[status(thm)],[314]) ).
thf(612,plain,
( ( ( sk15 @ v2_t_0topsp )
!= ( sk2 @ v2_t_0topsp ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[110,317]) ).
thf(613,plain,
( ( sk15 @ v2_t_0topsp )
!= ( sk2 @ v2_t_0topsp ) ),
inference(simp,[status(thm)],[612]) ).
thf(614,plain,
sk15 != sk2,
inference(simp,[status(thm)],[613]) ).
thf(66,axiom,
? [A: $i] :
( ( A @ v2_t_0topsp )
& ~ ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_tsp_1) ).
thf(381,plain,
? [A: $i] :
( ( A @ v2_t_0topsp )
& ~ ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(382,plain,
( ( sk19 @ v2_t_0topsp )
& ~ ( sk19 @ v2_tdlat_3 )
& ( sk19 @ v2_pre_topc )
& ( sk19 @ v1_pre_topc )
& ~ ( sk19 @ v3_realset2 )
& ~ ( sk19 @ v3_struct_0 )
& ( sk19 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[381]) ).
thf(385,plain,
sk19 @ v2_t_0topsp,
inference(cnfConj,[status(thm)],[382]) ).
thf(384,plain,
~ ( sk19 @ v3_realset2 ),
inference(cnfConj,[status(thm)],[382]) ).
thf(94,axiom,
? [A: $i] :
( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_tsp_1) ).
thf(530,plain,
? [A: $i] :
( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(531,plain,
( ( sk31 @ v2_t_0topsp )
& ( sk31 @ v2_pre_topc )
& ( sk31 @ v1_pre_topc )
& ~ ( sk31 @ v3_struct_0 )
& ( sk31 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[530]) ).
thf(533,plain,
~ ( sk31 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[531]) ).
thf(83,axiom,
? [A: $i] :
( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_tsp_1) ).
thf(470,plain,
? [A: $i] :
( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(471,plain,
( ~ ( sk27 @ v2_t_0topsp )
& ~ ( sk27 @ v1_tdlat_3 )
& ( sk27 @ v2_pre_topc )
& ( sk27 @ v1_pre_topc )
& ~ ( sk27 @ v3_realset2 )
& ~ ( sk27 @ v3_struct_0 )
& ( sk27 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[470]) ).
thf(472,plain,
sk27 @ v1_pre_topc,
inference(cnfConj,[status(thm)],[471]) ).
thf(387,plain,
sk19 @ v1_pre_topc,
inference(cnfConj,[status(thm)],[382]) ).
thf(657,plain,
( ( ( sk19 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[387,618]) ).
thf(658,plain,
( ( ( sk19 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[657]) ).
thf(670,plain,
( ( sk19 != sk1 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[658]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_tsp_1) ).
thf(301,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(174,plain,
~ ( sk5 @ v1_xboole_0 ),
inference(cnfConj,[status(thm)],[169]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_tsp_1) ).
thf(404,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(389,plain,
~ ( sk19 @ v2_tdlat_3 ),
inference(cnfConj,[status(thm)],[382]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ v5_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_int_1 )
& ( B @ v1_xreal_0 )
& ( B @ v4_ordinal2 )
& ( B @ v1_xcmplx_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_membered) ).
thf(123,plain,
! [A: $i] :
( ( A @ v5_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_int_1 )
& ( B @ v1_xreal_0 )
& ( B @ v4_ordinal2 )
& ( B @ v1_xcmplx_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( ( B @ v1_rat_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) )
& ( ( B @ v1_int_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) )
& ( ( B @ v1_xreal_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) )
& ( ( B @ v4_ordinal2 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) )
& ( ( B @ v1_xcmplx_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) ) ),
inference(cnf,[status(esa)],[123]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ( B @ v4_ordinal2 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) ),
inference(cnfConj,[status(thm)],[124]) ).
thf(80,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ! [C: $i] :
( ( A @ ( C @ m1_pre_topc ) )
=> ( ( C @ u1_struct_0 @ ( B @ u1_struct_0 @ r1_tarski ) )
<=> ( C @ ( B @ m1_pre_topc ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsep_1) ).
thf(460,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ! [C: $i] :
( ( A @ ( C @ m1_pre_topc ) )
=> ( ( ( C @ ( B @ m1_pre_topc ) )
=> ( C @ u1_struct_0 @ ( B @ u1_struct_0 @ r1_tarski ) ) )
& ( ( C @ u1_struct_0 @ ( B @ u1_struct_0 @ r1_tarski ) )
=> ( C @ ( B @ m1_pre_topc ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(99,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ v1_xboole_0 ) )
=> ~ ( A @ ( B @ v1_tsp_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsp_2) ).
thf(559,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ v1_xboole_0 ) )
=> ~ ( A @ ( B @ v1_tsp_2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(22,axiom,
( ( k1_xboole_0 @ v5_membered )
& ( k1_xboole_0 @ v4_membered )
& ( k1_xboole_0 @ v3_membered )
& ( k1_xboole_0 @ v2_membered )
& ( k1_xboole_0 @ v1_membered )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
thf(186,plain,
( ( k1_xboole_0 @ v5_membered )
& ( k1_xboole_0 @ v4_membered )
& ( k1_xboole_0 @ v3_membered )
& ( k1_xboole_0 @ v2_membered )
& ( k1_xboole_0 @ v1_membered )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(187,plain,
( ( k1_xboole_0 @ v5_membered )
& ( k1_xboole_0 @ v4_membered )
& ( k1_xboole_0 @ v3_membered )
& ( k1_xboole_0 @ v2_membered )
& ( k1_xboole_0 @ v1_membered )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[186]) ).
thf(189,plain,
k1_xboole_0 @ v1_membered,
inference(cnfConj,[status(thm)],[187]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( A @ ( B @ v2_tops_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_tops_1) ).
thf(416,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( A @ ( B @ v2_tops_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(54,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tex_2 ) )
& ( A @ ( B @ v1_tsep_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_tsp_2) ).
thf(325,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tex_2 ) )
& ( A @ ( B @ v1_tsep_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ v4_membered )
=> ( A @ v3_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).
thf(152,plain,
! [A: $i] :
( ( A @ v4_membered )
=> ( A @ v3_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ v5_membered )
=> ( A @ v4_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).
thf(228,plain,
! [A: $i] :
( ( A @ v5_membered )
=> ( A @ v4_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(316,plain,
sk15 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[314]) ).
thf(475,plain,
sk27 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[471]) ).
thf(16,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(164,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)],[16]) ).
thf(20,axiom,
! [A: $i] :
? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(179,plain,
! [A: $i] :
? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(52,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( B @ v2_pre_topc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_pre_topc) ).
thf(321,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( B @ v2_pre_topc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ v4_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).
thf(211,plain,
! [A: $i] :
( ( A @ v4_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( B @ v1_int_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) ),
inference(cnfConj,[status(thm)],[118]) ).
thf(60,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v3_pre_topc ) ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( B @ v1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_tops_1) ).
thf(353,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v3_pre_topc ) ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( B @ v1_xboole_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(11,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(147,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)],[11]) ).
thf(79,axiom,
? [A: $i] :
( ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_pre_topc) ).
thf(454,plain,
? [A: $i] :
( ( A @ v2_pre_topc )
& ( A @ v1_pre_topc )
& ~ ( A @ v3_struct_0 )
& ( A @ l1_pre_topc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(455,plain,
( ( sk24 @ v2_pre_topc )
& ( sk24 @ v1_pre_topc )
& ~ ( sk24 @ v3_struct_0 )
& ( sk24 @ l1_pre_topc ) ),
inference(cnf,[status(esa)],[454]) ).
thf(458,plain,
sk24 @ v1_pre_topc,
inference(cnfConj,[status(thm)],[455]) ).
thf(680,plain,
( ( ( sk24 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[458,618]) ).
thf(681,plain,
( ( ( sk24 @ v1_pre_topc )
!= ( sk1 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[680]) ).
thf(692,plain,
( ( sk24 != sk1 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk1 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[681]) ).
thf(29,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)],[29]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ r2_hidden ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[115]) ).
thf(40,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(265,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)],[40]) ).
thf(307,plain,
sk14 @ l1_struct_0,
inference(cnfConj,[status(thm)],[306]) ).
thf(37,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ~ ( B @ v3_struct_0 )
=> ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_tsp_1) ).
thf(248,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ~ ( B @ v3_struct_0 )
=> ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ v2_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_membered) ).
thf(201,plain,
! [A: $i] :
( ( A @ v2_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(534,plain,
sk31 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[531]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] :
( ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_pre_topc) ).
thf(334,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] :
( ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(100,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_borsuk_1) ).
thf(561,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(43,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ~ ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_tsp_2) ).
thf(275,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ~ ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(192,plain,
k1_xboole_0 @ v2_membered,
inference(cnfConj,[status(thm)],[187]) ).
thf(592,plain,
! [A: $i] :
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( A @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ ( A @ ( sk2 @ m2_tsp_1 ) )
| ~ $true
| ~ ( A @ v1_pre_topc ) ),
inference(paramod_ordered,[status(thm)],[108,113]) ).
thf(593,plain,
! [A: $i] :
( ( ( sk1 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( A @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( A @ v2_tsp_2 ) )
| ~ ( A @ ( sk2 @ m2_tsp_1 ) )
| ~ ( A @ v1_pre_topc ) ),
inference(simp,[status(thm)],[592]) ).
thf(594,plain,
( ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ ( sk2 @ ( sk2 @ m2_tsp_1 ) )
| ~ ( sk2 @ v1_pre_topc ) ),
inference(pattern_uni,[status(thm)],[593:[bind(A,$thf( sk2 ))]]) ).
thf(601,plain,
( ( ( sk2 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( sk2 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ $true
| ~ ( sk2 @ v1_pre_topc ) ),
inference(paramod_ordered,[status(thm)],[108,594]) ).
thf(602,plain,
( ( ( sk2 @ ( sk2 @ m2_tsp_1 ) )
!= ( sk1 @ ( sk2 @ m2_tsp_1 ) ) )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ ( sk2 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[601]) ).
thf(603,plain,
( ( sk2 != sk1 )
| ( sk2 != sk2 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ ( sk2 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[602]) ).
thf(604,plain,
( ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ ( sk2 @ v1_pre_topc ) ),
inference(simp,[status(thm)],[603]) ).
thf(684,plain,
( ( ( sk24 @ v1_pre_topc )
!= ( sk2 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[458,604]) ).
thf(685,plain,
( ( ( sk24 @ v1_pre_topc )
!= ( sk2 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[684]) ).
thf(693,plain,
( ( sk24 != sk2 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[685]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( A @ v1_pre_topc )
=> ( A
= ( A @ u1_pre_topc @ ( A @ u1_struct_0 @ g1_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
thf(252,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( A @ v1_pre_topc )
=> ( A
= ( A @ u1_pre_topc @ ( A @ u1_struct_0 @ g1_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(55,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_pre_topc) ).
thf(329,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(88,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ~ ( A @ ( B @ v1_tex_3 ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_tsp_2) ).
thf(493,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ~ ( A @ ( B @ v1_tex_3 ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(456,plain,
sk24 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[455]) ).
thf(14,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(156,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)],[14]) ).
thf(188,plain,
k1_xboole_0 @ v3_membered,
inference(cnfConj,[status(thm)],[187]) ).
thf(388,plain,
sk19 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[382]) ).
thf(9,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(141,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v3_tdlat_3 )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_tsp_1) ).
thf(420,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v3_tdlat_3 )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_tsp_1) ).
thf(519,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(103,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ~ ( B @ v1_xboole_0 ) )
=> ~ ( ! [C: $i] :
( ( ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc )
& ~ ( C @ v3_struct_0 ) )
=> ~ ( ( B
= ( C @ u1_struct_0 ) )
& ( A @ ( C @ v2_tsp_2 ) ) ) )
& ( A @ ( B @ v1_tsp_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tsp_2) ).
thf(578,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ~ ( B @ v1_xboole_0 ) )
=> ~ ( ! [C: $i] :
( ( ( A @ ( C @ m2_tsp_1 ) )
& ( C @ v1_pre_topc )
& ~ ( C @ v3_struct_0 ) )
=> ~ ( ( B
= ( C @ u1_struct_0 ) )
& ( A @ ( C @ v2_tsp_2 ) ) ) )
& ( A @ ( B @ v1_tsp_2 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(109,plain,
sk1 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[107]) ).
thf(661,plain,
( ( ( sk19 @ v1_pre_topc )
!= ( sk2 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[387,604]) ).
thf(662,plain,
( ( ( sk19 @ v1_pre_topc )
!= ( sk2 @ v1_pre_topc ) )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[661]) ).
thf(669,plain,
( ( sk19 != sk2 )
| ( sk2 != sk1 )
| ~ ( sk1 @ ( sk2 @ v2_tsp_2 ) ) ),
inference(simp,[status(thm)],[662]) ).
thf(476,plain,
~ ( sk27 @ v1_tdlat_3 ),
inference(cnfConj,[status(thm)],[471]) ).
thf(87,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_tsp_2) ).
thf(489,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ ( B @ m2_tsp_1 ) )
=> ( B @ l1_pre_topc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
thf(590,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ ( B @ m2_tsp_1 ) )
=> ( B @ l1_pre_topc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v3_tdlat_3 )
& ~ ( A @ v2_tdlat_3 )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_tsp_1) ).
thf(547,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v3_tdlat_3 )
& ~ ( A @ v2_tdlat_3 )
& ~ ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(193,plain,
k1_xboole_0 @ v4_membered,
inference(cnfConj,[status(thm)],[187]) ).
thf(95,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v2_t_0topsp )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_tsp_1) ).
thf(537,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v2_t_0topsp )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(478,plain,
~ ( sk27 @ v2_t_0topsp ),
inference(cnfConj,[status(thm)],[471]) ).
thf(735,plain,
( ( ( sk27 @ v2_t_0topsp )
!= ( sk2 @ v2_t_0topsp ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[110,478]) ).
thf(736,plain,
( ( sk27 @ v2_t_0topsp )
!= ( sk2 @ v2_t_0topsp ) ),
inference(simp,[status(thm)],[735]) ).
thf(738,plain,
sk27 != sk2,
inference(simp,[status(thm)],[736]) ).
thf(457,plain,
~ ( sk24 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[455]) ).
thf(173,plain,
sk5 @ v4_membered,
inference(cnfConj,[status(thm)],[169]) ).
thf(63,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m2_tsp_1 ) )
=> ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ u1_struct_0 @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_tsp_2) ).
thf(371,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m2_tsp_1 ) )
=> ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ u1_struct_0 @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(34,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(237,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(36,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v1_borsuk_1 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_tsp_2) ).
thf(244,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v1_borsuk_1 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v2_tsp_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ! [C: $i,D: $i] :
( ( ( B @ ( A @ g1_pre_topc ) )
= ( D @ ( C @ g1_pre_topc ) ) )
=> ( ( B = D )
& ( A = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_pre_topc) ).
thf(205,plain,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ! [C: $i,D: $i] :
( ( ( B @ ( A @ g1_pre_topc ) )
= ( D @ ( C @ g1_pre_topc ) ) )
=> ( ( B = D )
& ( A = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v3_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v5_tdlat_3 )
& ( A @ v4_tdlat_3 )
& ( A @ v3_tdlat_3 )
& ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_tsp_1) ).
thf(508,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v3_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v5_tdlat_3 )
& ( A @ v4_tdlat_3 )
& ( A @ v3_tdlat_3 )
& ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(104,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v1_borsuk_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tex_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_tsp_2) ).
thf(586,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v1_borsuk_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tex_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(17,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(166,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(44,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v2_t_0topsp )
& ( A @ ( B @ v2_tex_2 ) )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_tsp_1) ).
thf(279,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( B @ v2_t_0topsp )
& ( A @ ( B @ v2_tex_2 ) )
& ( B @ v1_pre_topc )
& ~ ( B @ v3_struct_0 )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(47,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_pre_topc) ).
thf(296,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(176,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(191,plain,
k1_xboole_0 @ v5_membered,
inference(cnfConj,[status(thm)],[187]) ).
thf(45,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_tops_1) ).
thf(286,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(46,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_pre_topc) ).
thf(291,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ~ ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(77,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ~ ( ! [C: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ~ ( ( A @ ( C @ v1_tsp_2 ) )
& ( C @ ( B @ r1_tarski ) ) ) )
& ( A @ ( B @ v1_tsp_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tsp_2) ).
thf(445,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ~ ( ! [C: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ~ ( ( A @ ( C @ v1_tsp_2 ) )
& ( C @ ( B @ r1_tarski ) ) ) )
& ( A @ ( B @ v1_tsp_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_tsp_1) ).
thf(572,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(172,plain,
sk5 @ v1_membered,
inference(cnfConj,[status(thm)],[169]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ v1_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( B @ v1_xcmplx_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_membered) ).
thf(219,plain,
! [A: $i] :
( ( A @ v1_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( B @ v1_xcmplx_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(65,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_tops_1) ).
thf(377,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_xboole_0 )
=> ( ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( ( A @ v5_membered )
& ( A @ v4_membered )
& ( A @ v3_membered )
& ( A @ v2_membered )
& ( A @ v1_membered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
thf(230,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( ( A @ v5_membered )
& ( A @ v4_membered )
& ( A @ v3_membered )
& ( A @ v2_membered )
& ( A @ v1_membered ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(318,plain,
sk15 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[314]) ).
thf(42,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v1_tsep_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tex_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_tsp_2) ).
thf(271,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v1_tsep_1 ) ) )
=> ( ~ ( A @ ( B @ v2_tex_2 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(477,plain,
~ ( sk27 @ v3_realset2 ),
inference(cnfConj,[status(thm)],[471]) ).
thf(62,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( ( A @ ( B @ v2_tops_1 ) )
& ( A @ ( B @ v4_pre_topc ) ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_tops_1) ).
thf(367,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( ( A @ ( B @ v2_tops_1 ) )
& ( A @ ( B @ v4_pre_topc ) ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( B @ l1_pre_topc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
thf(323,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( B @ l1_pre_topc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(35,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(240,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(13,axiom,
? [A: $i] : ( A @ l1_struct_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(154,plain,
? [A: $i] : ( A @ l1_struct_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(155,plain,
sk3 @ l1_struct_0,
inference(cnf,[status(esa)],[154]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ v3_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_membered) ).
thf(130,plain,
! [A: $i] :
( ( A @ v3_membered )
=> ! [B: $i] :
( ( A @ ( B @ m1_subset_1 ) )
=> ( ( B @ v1_rat_1 )
& ( B @ v1_xreal_0 )
& ( B @ v1_xcmplx_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(30,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)],[30]) ).
thf(68,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_borsuk_1) ).
thf(394,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v1_borsuk_1 ) )
& ( B @ v2_pre_topc )
& ( B @ v1_pre_topc )
& ( A @ ( B @ m1_pre_topc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(7,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(135,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)],[7]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ v3_membered )
=> ( A @ v2_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).
thf(226,plain,
! [A: $i] :
( ( A @ v3_membered )
=> ( A @ v2_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(41,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v3_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_tops_1) ).
thf(267,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v3_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(473,plain,
~ ( sk27 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[471]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(162,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] :
( ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_tops_1) ).
thf(255,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] :
( ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] : ( A @ ( B @ m1_pre_topc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_pre_topc) ).
thf(487,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ? [B: $i] : ( A @ ( B @ m1_pre_topc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(112,plain,
~ ( sk2 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[107]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ v5_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
thf(194,plain,
! [A: $i] :
( ( A @ v5_membered )
=> ! [B: $i] :
( ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ v2_membered )
=> ( A @ v1_membered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).
thf(145,plain,
! [A: $i] :
( ( A @ v2_membered )
=> ( A @ v1_membered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(57,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( C
= ( B @ u1_struct_0 ) )
=> ( ( A @ ( C @ v1_tsp_1 ) )
<=> ( B @ v2_t_0topsp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_tsp_1) ).
thf(338,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( ( A @ ( B @ m2_tsp_1 ) )
& ~ ( B @ v3_struct_0 ) )
=> ! [C: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( C
= ( B @ u1_struct_0 ) )
=> ( ( ( B @ v2_t_0topsp )
=> ( A @ ( C @ v1_tsp_1 ) ) )
& ( ( A @ ( C @ v1_tsp_1 ) )
=> ( B @ v2_t_0topsp ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(89,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v5_tdlat_3 )
& ( A @ v4_tdlat_3 )
& ( A @ v3_tdlat_3 )
& ( A @ v2_tdlat_3 )
& ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_tsp_1) ).
thf(497,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v2_t_0topsp )
& ( A @ v2_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v5_tdlat_3 )
& ( A @ v4_tdlat_3 )
& ( A @ v3_tdlat_3 )
& ( A @ v2_tdlat_3 )
& ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(175,plain,
sk5 @ v2_membered,
inference(cnfConj,[status(thm)],[169]) ).
thf(386,plain,
sk19 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[382]) ).
thf(81,axiom,
? [A: $i] : ( A @ l1_pre_topc ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
thf(464,plain,
? [A: $i] : ( A @ l1_pre_topc ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(465,plain,
sk25 @ l1_pre_topc,
inference(cnf,[status(esa)],[464]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ ( A @ g1_pre_topc ) @ l1_pre_topc )
& ( B @ ( A @ g1_pre_topc ) @ v1_pre_topc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_pre_topc) ).
thf(450,plain,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( B @ ( A @ g1_pre_topc ) @ l1_pre_topc )
& ( B @ ( A @ g1_pre_topc ) @ v1_pre_topc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( A @ l1_struct_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
thf(517,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( A @ l1_struct_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(319,plain,
~ ( sk15 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[314]) ).
thf(59,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
=> ( A @ ( B @ v2_tops_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_tops_1) ).
thf(351,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ! [B: $i] :
( ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( ( A @ ( B @ v3_tops_1 ) )
=> ( A @ ( B @ v2_tops_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(67,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_pre_topc) ).
thf(390,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v4_pre_topc ) )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(114,plain,
~ ( sk1 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[107]) ).
thf(171,plain,
sk5 @ v5_membered,
inference(cnfConj,[status(thm)],[169]) ).
thf(8,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(139,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)],[8]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( A @ u1_struct_0 @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( A @ u1_pre_topc @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
thf(418,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( A @ u1_struct_0 @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( A @ u1_pre_topc @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(101,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v1_tsep_1 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_tsp_2) ).
thf(568,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ( A @ ( B @ v2_tex_2 ) ) )
=> ( ~ ( A @ ( B @ v1_tsep_1 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(119,plain,
! [B: $i,A: $i] :
( ( B @ v1_xcmplx_0 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) ),
inference(cnfConj,[status(thm)],[118]) ).
thf(383,plain,
~ ( sk19 @ v3_struct_0 ),
inference(cnfConj,[status(thm)],[382]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_tsp_1) ).
thf(346,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v1_tdlat_3 )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(315,plain,
~ ( sk15 @ v3_realset2 ),
inference(cnfConj,[status(thm)],[314]) ).
thf(76,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_tops_1) ).
thf(432,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc ) )
=> ? [B: $i] :
( ( A @ ( B @ v3_tops_1 ) )
& ( A @ ( B @ v2_tops_1 ) )
& ( B @ v5_membered )
& ( B @ v4_membered )
& ( B @ v3_membered )
& ( B @ v2_membered )
& ( B @ v1_membered )
& ( A @ ( B @ v4_pre_topc ) )
& ( A @ ( B @ v3_pre_topc ) )
& ( B @ v1_xboole_0 )
& ( A @ u1_struct_0 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(71,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( A @ ( B @ m2_tsp_1 ) )
<=> ( A @ ( B @ m1_pre_topc ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
thf(410,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ! [B: $i] :
( ( ( A @ ( B @ m1_pre_topc ) )
=> ( A @ ( B @ m2_tsp_1 ) ) )
& ( ( A @ ( B @ m2_tsp_1 ) )
=> ( A @ ( B @ m1_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(190,plain,
k1_xboole_0 @ v1_xboole_0,
inference(cnfConj,[status(thm)],[187]) ).
thf(21,axiom,
! [A: $i] :
~ ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(183,plain,
! [A: $i] :
~ ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ~ ( A @ v3_struct_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_tsp_1) ).
thf(373,plain,
! [A: $i] :
( ( A @ l1_pre_topc )
=> ( ( ( A @ v3_realset2 )
& ~ ( A @ v3_struct_0 ) )
=> ( ( A @ v2_t_0topsp )
& ~ ( A @ v3_struct_0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( B @ v1_rat_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v5_membered ) ),
inference(cnfConj,[status(thm)],[124]) ).
thf(474,plain,
sk27 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[471]) ).
thf(69,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( A @ ( B @ v2_tsp_2 ) )
=> ( ( A @ ( B @ v1_tex_3 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_tsp_2) ).
thf(400,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( A @ ( B @ v2_tsp_2 ) )
=> ( ( A @ ( B @ v1_tex_3 ) )
& ( B @ v2_pre_topc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(532,plain,
sk31 @ v2_t_0topsp,
inference(cnfConj,[status(thm)],[531]) ).
thf(75,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ~ ( A @ ( B @ v2_tex_2 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ~ ( B @ v2_t_0topsp )
& ~ ( B @ v3_realset2 )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_tsp_1) ).
thf(427,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ~ ( A @ ( B @ v2_tex_2 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ~ ( B @ v2_t_0topsp )
& ~ ( B @ v3_realset2 )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(459,plain,
sk24 @ v2_pre_topc,
inference(cnfConj,[status(thm)],[455]) ).
thf(111,plain,
sk1 @ l1_pre_topc,
inference(cnfConj,[status(thm)],[107]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( B @ v1_rat_1 )
| ~ ( A @ ( B @ m1_subset_1 ) )
| ~ ( A @ v4_membered ) ),
inference(cnfConj,[status(thm)],[118]) ).
thf(469,plain,
sk26 @ v1_pre_topc,
inference(cnfConj,[status(thm)],[467]) ).
thf(50,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_tsp_2) ).
thf(309,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( A @ ( B @ v2_tsp_2 ) )
& ~ ( B @ v3_struct_0 ) )
=> ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(96,axiom,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ( ( A @ ( B @ v2_tex_2 ) )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_tsp_1) ).
thf(543,plain,
! [A: $i] :
( ( ( A @ l1_pre_topc )
& ~ ( A @ v2_t_0topsp )
& ( A @ v2_pre_topc )
& ~ ( A @ v3_struct_0 ) )
=> ! [B: $i] :
( ( A @ ( B @ m1_pre_topc ) )
=> ( ( ( B @ v2_t_0topsp )
& ~ ( B @ v3_struct_0 ) )
=> ( ( A @ ( B @ v2_tex_2 ) )
& ~ ( B @ v3_struct_0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(51725,plain,
$false,
inference(e,[status(thm)],[525,645,365,479,468,555,481,170,115,217,308,120,614,597,385,384,533,472,670,301,320,174,404,389,110,125,460,559,189,416,325,152,228,316,475,164,179,321,211,106,121,353,147,692,221,116,265,307,248,117,201,381,534,334,561,275,192,693,252,329,493,456,317,156,188,388,141,420,519,578,109,669,476,489,590,547,193,537,738,457,173,371,237,244,205,508,530,586,618,166,279,296,176,191,286,291,445,572,313,466,604,172,113,219,377,230,318,271,477,387,367,323,594,240,155,108,130,223,394,135,226,267,473,162,255,487,112,123,458,194,145,338,470,154,497,175,386,465,450,517,319,351,390,186,114,171,139,418,568,119,478,383,346,315,432,410,168,190,183,373,305,126,474,400,532,464,427,459,111,122,469,309,543,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % 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
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 20:35:29 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 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
% 0.91/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.53/1.28 % [INFO] Parsing done (305ms).
% 1.53/1.30 % [INFO] Running in sequential loop mode.
% 2.48/1.69 % [INFO] eprover registered as external prover.
% 2.48/1.70 % [INFO] Scanning for conjecture ...
% 2.92/1.84 % [INFO] Found a conjecture (or negated_conjecture) and 108 axioms. Running axiom selection ...
% 3.17/1.97 % [INFO] Axiom selection finished. Selected 103 axioms (removed 5 axioms).
% 3.65/2.11 % [INFO] Problem is first-order (TPTP FOF).
% 3.65/2.13 % [INFO] Type checking passed.
% 3.91/2.13 % [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 ...
% 119.77/30.18 % External prover 'e' found a proof!
% 119.77/30.18 % [INFO] Killing All external provers ...
% 119.77/30.19 % Time passed: 29648ms (effective reasoning time: 28882ms)
% 119.77/30.19 % 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)>
% 119.77/30.19 % Axioms used in derivation (103): cc1_tsp_1, rc1_tops_1, cc6_tops_1, cc2_tops_1, existence_l1_struct_0, t4_tsep_1, cc4_tsp_2, cc1_tops_1, cc12_membered, cc10_tsp_2, cc8_tsp_1, cc5_tsp_2, t9_tsp_2, redefinition_m2_tsp_1, cc2_tsp_1, cc10_membered, rc4_pre_topc, rc3_tops_1, t1_subset, cc6_tsp_2, l19_tsp_2, rc1_membered, dt_m2_tsp_1, cc5_tops_1, cc3_tops_1, cc3_tsp_2, rc3_pre_topc, t4_tsp_2, rc3_tsp_1, rc4_tsp_1, rc6_pre_topc, cc2_tsp_2, dt_l1_pre_topc, t12_tsp_2, t6_boole, rc2_subset_1, free_g1_pre_topc, rc5_tsp_1, rc5_tops_1, t5_subset, cc19_membered, rc7_tsp_1, t15_tsp_1, cc7_tsp_1, fc6_membered, rc4_tops_1, cc11_membered, cc6_tsp_1, abstractness_v1_pre_topc, t4_subset, cc11_tsp_1, cc20_membered, t7_boole, rc6_tsp_1, dt_g1_pre_topc, rc3_struct_0, fc1_subset_1, rc1_subset_1, cc4_membered, dt_m1_pre_topc, cc18_membered, existence_m2_tsp_1, existence_m1_pre_topc, t3_subset, cc13_membered, existence_m1_subset_1, cc4_tsp_1, cc15_membered, cc7_tsp_2, rc2_tsp_1, cc9_tsp_1, fc1_struct_0, existence_l1_pre_topc, reflexivity_r1_tarski, cc17_membered, rc1_pre_topc, rc7_pre_topc, rc3_borsuk_1, rc2_tops_1, dt_u1_pre_topc, t8_boole, cc13_tsp_1, rc4_borsuk_1, t2_subset, cc1_membered, cc10_tsp_1, rc1_tsp_1, rc5_struct_0, cc4_tops_1, cc2_membered, cc3_membered, cc8_tsp_2, rc2_pre_topc, cc5_tsp_1, cc14_membered, cc9_tsp_2, rc5_pre_topc, cc16_membered, cc3_tsp_1, cc12_tsp_1, cc1_tsp_2, antisymmetry_r2_hidden, cc1_pre_topc
% 119.77/30.19 % No. of inferences in proof: 316
% 119.77/30.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 29648 ms resp. 28882 ms w/o parsing
% 109.26/30.33 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 109.26/30.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------