TSTP Solution File: GRP628+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.smWIjUXi1C true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:52:27 EDT 2023
% Result : Theorem 6.65s 1.59s
% Output : Refutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 125 ( 61 unt; 19 typ; 0 def)
% Number of atoms : 351 ( 31 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1058 ( 166 ~; 186 |; 35 &; 647 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(m1_group_2_type,type,
m1_group_2: $i > $i > $o ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(m2_fraenkel_type,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(k3_group_1_type,type,
k3_group_1: $i > $i > $i ).
thf(k1_autgroup_type,type,
k1_autgroup: $i > $i ).
thf(v1_group_1_type,type,
v1_group_1: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k4_autgroup_type,type,
k4_autgroup: $i > $i ).
thf(k3_autgroup_type,type,
k3_autgroup: $i > $i ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v1_group_3_type,type,
v1_group_3: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(k2_funct_1_type,type,
k2_funct_1: $i > $i ).
thf(k5_autgroup_type,type,
k5_autgroup: $i > $i ).
thf(dt_k3_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k3_autgroup @ A ) )
& ( v1_group_1 @ ( k3_autgroup @ A ) )
& ( v3_group_1 @ ( k3_autgroup @ A ) )
& ( v4_group_1 @ ( k3_autgroup @ A ) )
& ( l1_group_1 @ ( k3_autgroup @ A ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( v3_group_1 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( v4_group_1 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( l1_group_1 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(dt_k5_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v1_group_1 @ ( k5_autgroup @ A ) )
& ( v1_group_3 @ ( k5_autgroup @ A ) @ ( k3_autgroup @ A ) )
& ( m1_group_2 @ ( k5_autgroup @ A ) @ ( k3_autgroup @ A ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( m1_group_2 @ ( k5_autgroup @ X0 ) @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_autgroup]) ).
thf(t22_autgroup,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k4_autgroup @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_autgroup @ A ) ) )
=> ( ( B = C )
=> ( ( k2_funct_1 @ B )
= ( k3_group_1 @ ( k5_autgroup @ A ) @ C ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k4_autgroup @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k5_autgroup @ A ) ) )
=> ( ( B = C )
=> ( ( k2_funct_1 @ B )
= ( k3_group_1 @ ( k5_autgroup @ A ) @ C ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t22_autgroup]) ).
thf(zip_derived_cl5,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k5_autgroup @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
sk__1 = sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1253,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k5_autgroup @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(t57_group_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ C ) )
=> ( ( D = B )
=> ( ( k3_group_1 @ C @ D )
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X3 ) )
| ( ( k3_group_1 @ X3 @ X2 )
= ( k3_group_1 @ X1 @ X0 ) )
| ( X2 != X0 )
| ~ ( m1_group_2 @ X3 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t57_group_2]) ).
thf(zip_derived_cl1819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m1_group_2 @ X1 @ X0 )
| ( ( k3_group_1 @ X1 @ X2 )
= ( k3_group_1 @ X0 @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl147]) ).
thf(t51_group_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t51_group_2]) ).
thf(zip_derived_cl3866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( ( k3_group_1 @ X1 @ X2 )
= ( k3_group_1 @ X0 @ X2 ) )
| ~ ( m1_group_2 @ X1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1819,zip_derived_cl146]) ).
thf(zip_derived_cl3868,plain,
! [X0: $i] :
( ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ X0 @ sk__1 ) )
| ~ ( m1_group_2 @ ( k5_autgroup @ sk_ ) @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1253,zip_derived_cl3866]) ).
thf(zip_derived_cl4094,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl3868]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4097,plain,
( ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4094,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl4104,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl4097]) ).
thf(zip_derived_cl0_001,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_002,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_003,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_004,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_005,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4107,plain,
( ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4104,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl4108,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl4107]) ).
thf(zip_derived_cl0_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_007,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_008,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_009,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_010,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4111,plain,
( ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4108,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl4112,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl4111]) ).
thf(zip_derived_cl0_011,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_012,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_013,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_014,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_015,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4115,plain,
( ( ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4112,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
( ( k2_funct_1 @ sk__1 )
!= ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_016,plain,
sk__1 = sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1254,plain,
( ( k2_funct_1 @ sk__1 )
!= ( k3_group_1 @ ( k5_autgroup @ sk_ ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl4117,plain,
( ( v3_struct_0 @ ( k3_autgroup @ sk_ ) )
| ( ( k2_funct_1 @ sk__1 )
!= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4115,zip_derived_cl1254]) ).
thf(zip_derived_cl44_017,plain,
! [X0: $i] :
( ( v3_group_1 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(zip_derived_cl46_018,plain,
! [X0: $i] :
( ( l1_group_1 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(zip_derived_cl51_019,plain,
! [X0: $i] :
( ( m1_group_2 @ ( k5_autgroup @ X0 ) @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_autgroup]) ).
thf(zip_derived_cl1253_020,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k5_autgroup @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl146_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t51_group_2]) ).
thf(zip_derived_cl1803,plain,
! [X0: $i] :
( ~ ( m1_group_2 @ ( k5_autgroup @ sk_ ) @ X0 )
| ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1253,zip_derived_cl146]) ).
thf(zip_derived_cl2361,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl1803]) ).
thf(zip_derived_cl0_022,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_023,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_024,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_025,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_026,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2364,plain,
( ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ sk_ ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2361,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl2367,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl2364]) ).
thf(zip_derived_cl0_027,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_028,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_029,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_030,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_031,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2370,plain,
( ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2367,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl2373,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2370]) ).
thf(zip_derived_cl0_032,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_033,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_034,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_035,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_036,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2376,plain,
( ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k3_autgroup @ sk_ ) ) )
| ( v3_struct_0 @ ( k3_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2373,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).
thf(t11_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k3_autgroup @ A ) ) )
=> ( ( B = C )
=> ( ( k2_funct_1 @ B )
= ( k3_group_1 @ ( k3_autgroup @ A ) @ C ) ) ) ) ) ) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ( X0 != X2 )
| ( ( k2_funct_1 @ X0 )
= ( k3_group_1 @ ( k3_autgroup @ X1 ) @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ ( k3_autgroup @ X1 ) ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t11_autgroup]) ).
thf(zip_derived_cl1772,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ ( k3_autgroup @ X0 ) ) )
| ( ( k2_funct_1 @ X1 )
= ( k3_group_1 @ ( k3_autgroup @ X0 ) @ X1 ) )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl3782,plain,
( ( v3_struct_0 @ ( k3_autgroup @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( ( k2_funct_1 @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) )
| ~ ( m2_fraenkel @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2376,zip_derived_cl1772]) ).
thf(zip_derived_cl0_037,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_038,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_039,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_040,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_041,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
m2_fraenkel @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t13_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k4_autgroup @ A ) )
=> ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) ) ) ) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k4_autgroup @ X1 ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t13_autgroup]) ).
thf(zip_derived_cl1783,plain,
( ( m2_fraenkel @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl140]) ).
thf(zip_derived_cl4_042,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_043,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_044,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_045,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_046,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1790,plain,
m2_fraenkel @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1783,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl3791,plain,
( ( v3_struct_0 @ ( k3_autgroup @ sk_ ) )
| ( ( k2_funct_1 @ sk__1 )
= ( k3_group_1 @ ( k3_autgroup @ sk_ ) @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3782,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl1790]) ).
thf(zip_derived_cl4122,plain,
v3_struct_0 @ ( k3_autgroup @ sk_ ),
inference(clc,[status(thm)],[zip_derived_cl4117,zip_derived_cl3791]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( k3_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_autgroup]) ).
thf(zip_derived_cl4123,plain,
( ~ ( l1_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4122,zip_derived_cl42]) ).
thf(zip_derived_cl4_047,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_048,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_049,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_050,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_051,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4126,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4123,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.smWIjUXi1C true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:33:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.65/1.59 % Solved by fo/fo6_bce.sh.
% 6.65/1.59 % BCE start: 152
% 6.65/1.59 % BCE eliminated: 9
% 6.65/1.59 % PE start: 143
% 6.65/1.59 logic: eq
% 6.65/1.59 % PE eliminated: -8
% 6.65/1.59 % done 979 iterations in 0.866s
% 6.65/1.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.65/1.59 % SZS output start Refutation
% See solution above
% 6.65/1.59
% 6.65/1.59
% 6.65/1.59 % Terminating...
% 7.23/1.65 % Runner terminated.
% 7.23/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------