TSTP Solution File: GRP632+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P4KccFogxX true
% Computer : n004.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 01:52:29 EDT 2023
% Result : Theorem 1.35s 0.96s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 39
% Syntax : Number of formulae : 160 ( 42 unt; 25 typ; 0 def)
% Number of atoms : 413 ( 53 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1776 ( 198 ~; 221 |; 39 &;1300 @)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 3 con; 0-6 aty)
% Number of variables : 143 ( 0 ^; 143 !; 0 ?; 143 :)
% 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_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k6_autgroup_type,type,
k6_autgroup: $i > $i > $i ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(m2_fraenkel_type,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(k6_partfun1_type,type,
k6_partfun1: $i > $i ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(k5_relat_1_type,type,
k5_relat_1: $i > $i > $i ).
thf(v1_group_1_type,type,
v1_group_1: $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k4_autgroup_type,type,
k4_autgroup: $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(k7_funct_2_type,type,
k7_funct_2: $i > $i > $i > $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(k2_group_1_type,type,
k2_group_1: $i > $i ).
thf(m1_fraenkel_type,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k7_relset_1_type,type,
k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).
thf(dt_l1_group_1,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_group_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_group_1]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl638,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl47]) ).
thf(redefinition_k7_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ A @ B )
& ( m1_relset_1 @ D @ A @ B )
& ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ B @ C )
& ( m1_relset_1 @ E @ B @ C ) )
=> ( ( k7_funct_2 @ A @ B @ C @ D @ E )
= ( k5_relat_1 @ D @ E ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X2 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ X2 @ X4 )
| ~ ( m1_relset_1 @ X3 @ X2 @ X4 )
| ( ( k7_funct_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
= ( k5_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k7_funct_2]) ).
thf(zip_derived_cl80_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X2 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ X2 @ X4 )
| ~ ( m1_relset_1 @ X3 @ X2 @ X4 )
| ( ( k7_funct_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
= ( k5_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k7_funct_2]) ).
thf(t30_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 ) )
=> ( ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ B )
= B )
& ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ B @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) )
= B ) ) ) ) ).
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 ) )
=> ( ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ B )
= B )
& ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ B @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) )
= B ) ) ) ),
inference('cnf.neg',[status(esa)],[t30_autgroup]) ).
thf(zip_derived_cl101,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) ) @ sk__19 )
!= sk__19 )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) ) )
!= sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
v3_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
v4_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t24_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k6_autgroup @ A @ ( k2_group_1 @ A ) )
= ( k6_partfun1 @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( ( k6_autgroup @ X0 @ ( k2_group_1 @ X0 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ 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)],[t24_autgroup]) ).
thf(zip_derived_cl637,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( v3_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl89]) ).
thf(zip_derived_cl729,plain,
( ( sk__18 != sk__18 )
| ( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( l1_group_1 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl637]) ).
thf(zip_derived_cl2225,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl729]) ).
thf(zip_derived_cl96,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
v1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2226,plain,
( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2225,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2226_002,plain,
( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2225,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2309,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__19 )
!= sk__19 )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl2226,zip_derived_cl2226]) ).
thf(zip_derived_cl2310,plain,
( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__19 )
!= sk__19 )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_relset_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl2309]) ).
thf(dt_k6_partfun1,axiom,
! [A: $i] :
( ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A )
& ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] : ( m2_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k6_partfun1]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl667,plain,
! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl84]) ).
thf(zip_derived_cl2311,plain,
( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__19 )
!= sk__19 )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2310,zip_derived_cl667]) ).
thf(zip_derived_cl638_003,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl47]) ).
thf(zip_derived_cl102,plain,
m2_fraenkel @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k4_autgroup @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m2_fraenkel,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_fraenkel @ C @ A @ B ) )
=> ! [D: $i] :
( ( m2_fraenkel @ D @ A @ B @ C )
=> ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ A @ B )
& ( m2_relset_1 @ D @ A @ B ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( v1_funct_1 @ X3 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl655,plain,
( ( v1_funct_1 @ sk__19 )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl29]) ).
thf(zip_derived_cl98_004,plain,
v3_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99_005,plain,
v4_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k4_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_fraenkel @ ( k4_autgroup @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k4_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ 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_k4_autgroup]) ).
thf(zip_derived_cl635,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( v3_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl17]) ).
thf(zip_derived_cl726,plain,
( ( sk__18 != sk__18 )
| ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( l1_group_1 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl635]) ).
thf(zip_derived_cl2330,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl726]) ).
thf(zip_derived_cl96_006,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_007,plain,
v1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_008,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2331,plain,
m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl2330,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2332,plain,
( ( v1_funct_1 @ sk__19 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl2331]) ).
thf(zip_derived_cl2347,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( v1_funct_1 @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl2332]) ).
thf(zip_derived_cl96_009,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_010,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2348,plain,
v1_funct_1 @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl2347,zip_derived_cl96,zip_derived_cl100]) ).
thf(zip_derived_cl2940,plain,
( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__19 )
!= sk__19 )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2311,zip_derived_cl2348]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(t23_funct_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= C )
& ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
= C ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k7_relset_1 @ X1 @ X1 @ X1 @ X2 @ ( k6_partfun1 @ X1 ) @ X0 )
= X0 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t23_funct_2]) ).
thf(zip_derived_cl678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X2 @ X1 @ X0 )
| ( ( k7_relset_1 @ X1 @ X1 @ X1 @ X0 @ ( k6_partfun1 @ X1 ) @ X2 )
= X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl87]) ).
thf(redefinition_k7_relset_1,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
| ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
= ( k5_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).
thf(zip_derived_cl2271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ ( k6_partfun1 @ X1 ) @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl81]) ).
thf(zip_derived_cl667_011,plain,
! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl84]) ).
thf(zip_derived_cl2273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2271,zip_derived_cl667]) ).
thf(zip_derived_cl2274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ( X0
= ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2273]) ).
thf(zip_derived_cl2941,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2940,zip_derived_cl2274]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] : ( v1_partfun1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference(cnf,[status(esa)],[dt_k6_partfun1]) ).
thf(cc1_funct_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_partfun1 @ X0 @ X1 @ X2 )
| ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[cc1_funct_2]) ).
thf(zip_derived_cl631,plain,
! [X0: $i] :
( ~ ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
| ( v1_funct_2 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).
thf(zip_derived_cl667_012,plain,
! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl84]) ).
thf(zip_derived_cl2190,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl631,zip_derived_cl667]) ).
thf(zip_derived_cl2942,plain,
( ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(clc,[status(thm)],[zip_derived_cl2941,zip_derived_cl2190]) ).
thf(zip_derived_cl102_013,plain,
m2_fraenkel @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k4_autgroup @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( m2_relset_1 @ X3 @ X2 @ X0 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl657,plain,
( ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl31]) ).
thf(zip_derived_cl84_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl674,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl657,zip_derived_cl84]) ).
thf(zip_derived_cl2331_015,plain,
m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl2330,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2335,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl2331]) ).
thf(zip_derived_cl2943,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2942,zip_derived_cl2335]) ).
thf(dt_k2_group_1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_subset_1 @ ( k2_group_1 @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k2_group_1 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_group_1]) ).
thf(zip_derived_cl98_016,plain,
v3_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99_017,plain,
v4_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k6_autgroup,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m2_fraenkel @ ( k6_autgroup @ A @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k4_autgroup @ A ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ( m2_fraenkel @ ( k6_autgroup @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k4_autgroup @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k6_autgroup]) ).
thf(zip_derived_cl636,plain,
! [X0: $i] :
( ( m2_fraenkel @ ( k6_autgroup @ sk__18 @ X0 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k4_autgroup @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( v3_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl19]) ).
thf(zip_derived_cl29_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( v1_funct_1 @ X3 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl663,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ sk__18 )
| ~ ( v3_group_1 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_autgroup @ sk__18 @ X0 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl29]) ).
thf(zip_derived_cl741,plain,
! [X0: $i] :
( ( sk__18 != sk__18 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_autgroup @ sk__18 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl98,zip_derived_cl663]) ).
thf(zip_derived_cl2631,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ sk__18 )
| ~ ( v1_group_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_autgroup @ sk__18 @ X0 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl741]) ).
thf(zip_derived_cl100_019,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_020,plain,
v1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96_021,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2331_022,plain,
m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl2330,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2632,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_autgroup @ sk__18 @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl100,zip_derived_cl97,zip_derived_cl96,zip_derived_cl2331]) ).
thf(zip_derived_cl2636,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2632]) ).
thf(zip_derived_cl96_023,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_024,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2226_025,plain,
( ( k6_autgroup @ sk__18 @ ( k2_group_1 @ sk__18 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2225,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2639,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2636,zip_derived_cl96,zip_derived_cl100,zip_derived_cl2226]) ).
thf(zip_derived_cl2944,plain,
( ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(clc,[status(thm)],[zip_derived_cl2943,zip_derived_cl2639]) ).
thf(zip_derived_cl102_026,plain,
m2_fraenkel @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( k4_autgroup @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( v1_funct_2 @ X3 @ X2 @ X0 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl656,plain,
( ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl30]) ).
thf(zip_derived_cl2331_027,plain,
m1_fraenkel @ ( k4_autgroup @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl2330,zip_derived_cl96,zip_derived_cl97,zip_derived_cl100]) ).
thf(zip_derived_cl2333,plain,
( ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl2331]) ).
thf(zip_derived_cl2945,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2944,zip_derived_cl2333]) ).
thf(zip_derived_cl2946,plain,
( ( ( k5_relat_1 @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ~ ( m1_relset_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl2945]) ).
thf(zip_derived_cl667_028,plain,
! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl84]) ).
thf(zip_derived_cl2348_029,plain,
v1_funct_1 @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl2347,zip_derived_cl96,zip_derived_cl100]) ).
thf(zip_derived_cl2947,plain,
( ( ( k5_relat_1 @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2946,zip_derived_cl667,zip_derived_cl2348]) ).
thf(zip_derived_cl2948,plain,
( ~ ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( ( k5_relat_1 @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2947]) ).
thf(zip_derived_cl2335_030,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl2331]) ).
thf(zip_derived_cl2949,plain,
( ( ( k5_relat_1 @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
!= sk__19 )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2948,zip_derived_cl2335]) ).
thf(zip_derived_cl2335_031,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( m1_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl2331]) ).
thf(zip_derived_cl85_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k7_relset_1 @ X1 @ X2 @ X2 @ X2 @ X0 @ ( k6_partfun1 @ X2 ) )
= X0 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t23_funct_2]) ).
thf(zip_derived_cl679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X2 @ X1 @ X0 )
| ( ( k7_relset_1 @ X1 @ X0 @ X0 @ X0 @ X2 @ ( k6_partfun1 @ X0 ) )
= X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl88]) ).
thf(zip_derived_cl81_033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
| ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
= ( k5_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).
thf(zip_derived_cl2272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) )
| ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
| ~ ( m1_relset_1 @ ( k6_partfun1 @ X1 ) @ X1 @ X1 )
| ~ ( m1_relset_1 @ X0 @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl679,zip_derived_cl81]) ).
thf(zip_derived_cl667_034,plain,
! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl84]) ).
thf(zip_derived_cl2275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) )
| ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
| ~ ( m1_relset_1 @ X0 @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2272,zip_derived_cl667]) ).
thf(zip_derived_cl2276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
| ( X0
= ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2275]) ).
thf(zip_derived_cl2414,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( sk__19
= ( k5_relat_1 @ sk__19 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2335,zip_derived_cl2276]) ).
thf(zip_derived_cl2950,plain,
( ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2949,zip_derived_cl2414]) ).
thf(zip_derived_cl2333_035,plain,
( ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl2331]) ).
thf(zip_derived_cl2951,plain,
( ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2950,zip_derived_cl2333]) ).
thf(zip_derived_cl2190_036,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl631,zip_derived_cl667]) ).
thf(zip_derived_cl2952,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2951,zip_derived_cl2190]) ).
thf(zip_derived_cl2639_037,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__18 ) )
| ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__18 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2636,zip_derived_cl96,zip_derived_cl100,zip_derived_cl2226]) ).
thf(zip_derived_cl2953,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl2952,zip_derived_cl2639]) ).
thf(zip_derived_cl2961,plain,
( ( v3_struct_0 @ sk__18 )
| ~ ( l1_group_1 @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl2953]) ).
thf(zip_derived_cl96_038,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_039,plain,
l1_group_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2962,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2961,zip_derived_cl96,zip_derived_cl100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P4KccFogxX true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:03:52 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.35/0.96 % Solved by fo/fo3_bce.sh.
% 1.35/0.96 % BCE start: 103
% 1.35/0.96 % BCE eliminated: 3
% 1.35/0.96 % PE start: 100
% 1.35/0.96 logic: eq
% 1.35/0.96 % PE eliminated: -13
% 1.35/0.96 % done 383 iterations in 0.226s
% 1.35/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.96 % SZS output start Refutation
% See solution above
% 1.35/0.96
% 1.35/0.96
% 1.35/0.96 % Terminating...
% 1.83/1.04 % Runner terminated.
% 1.96/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------