TSTP Solution File: GRP637+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP637+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.CuYAVaL1l8 true
% Computer : n028.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 01:52:32 EDT 2023
% Result : Theorem 0.62s 1.07s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of formulae : 128 ( 51 unt; 28 typ; 0 def)
% Number of atoms : 308 ( 14 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 984 ( 137 ~; 130 |; 40 &; 639 @)
% ( 3 <=>; 30 =>; 5 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 8 con; 0-4 aty)
% Number of variables : 97 ( 0 ^; 97 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(m1_group_6_type,type,
m1_group_6: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(k2_funct_2_type,type,
k2_funct_2: $i > $i > $i > $i > $i ).
thf(u1_group_1_type,type,
u1_group_1: $i > $i ).
thf(v1_group_6_type,type,
v1_group_6: $i > $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(k1_realset1_type,type,
k1_realset1: $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(m1_group_2_type,type,
m1_group_2: $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k9_relat_1_type,type,
k9_relat_1: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t10_latsubgr,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( m1_group_2 @ E @ A )
=> ! [F: $i] :
( ( m1_group_2 @ F @ B )
=> ! [G: $i] :
( ( m1_group_2 @ G @ B )
=> ( ( ( ( u1_struct_0 @ F )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ D ) ) )
& ( ( u1_struct_0 @ G )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ E ) ) )
& ( m1_group_6 @ D @ A @ E ) )
=> ( m1_group_6 @ F @ B @ G ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( m1_group_2 @ E @ A )
=> ! [F: $i] :
( ( m1_group_2 @ F @ B )
=> ! [G: $i] :
( ( m1_group_2 @ G @ B )
=> ( ( ( ( u1_struct_0 @ F )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ D ) ) )
& ( ( u1_struct_0 @ G )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ E ) ) )
& ( m1_group_6 @ D @ A @ E ) )
=> ( m1_group_6 @ F @ B @ G ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t10_latsubgr]) ).
thf(zip_derived_cl17,plain,
v4_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k2_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).
thf(zip_derived_cl13,plain,
( ( u1_struct_0 @ sk__5 )
= ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ ( u1_struct_0 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl446,plain,
( ~ ( v1_funct_1 @ sk__2 )
| ~ ( v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ~ ( m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ( ( u1_struct_0 @ sk__5 )
= ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ sk__3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
v1_funct_1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl7,plain,
m2_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl7]) ).
thf(zip_derived_cl449,plain,
( ( u1_struct_0 @ sk__5 )
= ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl4,zip_derived_cl5,zip_derived_cl129]) ).
thf(zip_derived_cl81_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).
thf(zip_derived_cl11,plain,
( ( u1_struct_0 @ sk__6 )
= ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ ( u1_struct_0 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl445,plain,
( ~ ( v1_funct_1 @ sk__2 )
| ~ ( v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ~ ( m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ( ( u1_struct_0 @ sk__6 )
= ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ sk__4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl11]) ).
thf(zip_derived_cl4_002,plain,
v1_funct_1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_003,plain,
v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_004,plain,
m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference('s_sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl7]) ).
thf(zip_derived_cl448,plain,
( ( u1_struct_0 @ sk__6 )
= ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl4,zip_derived_cl5,zip_derived_cl129]) ).
thf(t156_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( v1_relat_1 @ C )
=> ( ( r1_tarski @ A @ B )
=> ( r1_tarski @ ( k9_relat_1 @ C @ A ) @ ( k9_relat_1 @ C @ B ) ) ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_tarski @ X0 @ X1 )
| ~ ( v1_relat_1 @ X2 )
| ( r1_tarski @ ( k9_relat_1 @ X2 @ X0 ) @ ( k9_relat_1 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[t156_relat_1]) ).
thf(zip_derived_cl505,plain,
! [X0: $i] :
( ~ ( r1_tarski @ X0 @ ( u1_struct_0 @ sk__4 ) )
| ~ ( v1_relat_1 @ sk__2 )
| ( r1_tarski @ ( k9_relat_1 @ sk__2 @ X0 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl448,zip_derived_cl87]) ).
thf(zip_derived_cl7_005,plain,
m2_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(cc1_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
thf(zip_derived_cl327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m2_relset_1 @ X2 @ X1 @ X0 )
| ( v1_relat_1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl23]) ).
thf(zip_derived_cl341,plain,
v1_relat_1 @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl327]) ).
thf(zip_derived_cl509,plain,
! [X0: $i] :
( ~ ( r1_tarski @ X0 @ ( u1_struct_0 @ sk__4 ) )
| ( r1_tarski @ ( k9_relat_1 @ sk__2 @ X0 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl341]) ).
thf(zip_derived_cl619,plain,
( ~ ( r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
| ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl449,zip_derived_cl509]) ).
thf(zip_derived_cl622,plain,
( ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) )
<= ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(t66_group_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ( ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) )
=> ( m1_group_2 @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( r1_tarski @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) )
| ( m1_group_2 @ X0 @ X2 )
| ~ ( m1_group_2 @ X2 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t66_group_2]) ).
thf(zip_derived_cl626,plain,
( ! [X0: $i] :
( ~ ( m1_group_2 @ sk__5 @ X0 )
| ( m1_group_2 @ sk__5 @ sk__6 )
| ~ ( m1_group_2 @ sk__6 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) )
<= ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl94]) ).
thf(redefinition_m1_group_6,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_group_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_group_6 @ C @ A @ B )
<=> ( m1_group_2 @ C @ B ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_group_2 @ X1 @ X0 )
| ( m1_group_6 @ X2 @ X0 @ X1 )
| ~ ( m1_group_2 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_group_6]) ).
thf(zip_derived_cl10,plain,
~ ( m1_group_6 @ sk__5 @ sk__1 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl464,plain,
( ~ ( m1_group_2 @ sk__5 @ sk__6 )
| ~ ( m1_group_2 @ sk__6 @ sk__1 )
| ( v3_struct_0 @ sk__1 )
| ~ ( v3_group_1 @ sk__1 )
| ~ ( v4_group_1 @ sk__1 )
| ~ ( l1_group_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl10]) ).
thf(zip_derived_cl9,plain,
m1_group_2 @ sk__6 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
v3_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_006,plain,
v4_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
l1_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
~ ( m1_group_2 @ sk__5 @ sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl9,zip_derived_cl19,zip_derived_cl18,zip_derived_cl17,zip_derived_cl16]) ).
thf(zip_derived_cl628,plain,
( ! [X0: $i] :
( ~ ( m1_group_2 @ sk__5 @ X0 )
| ~ ( m1_group_2 @ sk__6 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) )
<= ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl626,zip_derived_cl466]) ).
thf(d5_group_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( m1_group_2 @ B @ A )
<=> ( ( r1_tarski @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( ( u1_group_1 @ B )
= ( k1_realset1 @ ( u1_group_1 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m1_group_2 @ X0 @ X1 )
| ( r1_tarski @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d5_group_2]) ).
thf(dt_m1_group_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ( r1_tarski @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl44]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( l1_group_1 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl263,plain,
! [X0: $i,X1: $i] :
( ~ ( v3_group_1 @ X0 )
| ~ ( m1_group_2 @ X0 @ X1 )
| ( r1_tarski @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl42]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( v3_group_1 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl264,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ( r1_tarski @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_group_2 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl263,zip_derived_cl43]) ).
thf(zip_derived_cl623,plain,
( ~ ( r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
<= ~ ( r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf(zip_derived_cl630,plain,
( ( ~ ( m1_group_2 @ sk__3 @ sk__4 )
| ~ ( l1_group_1 @ sk__4 )
| ~ ( v3_group_1 @ sk__4 )
| ( v3_struct_0 @ sk__4 ) )
<= ~ ( r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl623]) ).
thf(zip_derived_cl12,plain,
m1_group_6 @ sk__3 @ sk_ @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_group_2 @ X1 @ X0 )
| ( m1_group_2 @ X2 @ X1 )
| ~ ( m1_group_6 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_group_6]) ).
thf(zip_derived_cl477,plain,
( ~ ( l1_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( m1_group_2 @ sk__4 @ sk_ )
| ( m1_group_2 @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl83]) ).
thf(zip_derived_cl3,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
m1_group_2 @ sk__4 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl480,plain,
m1_group_2 @ sk__3 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl477,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl8]) ).
thf(zip_derived_cl8_007,plain,
m1_group_2 @ sk__4 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_008,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( l1_group_1 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl212,plain,
( ( l1_group_1 @ sk__4 )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl42]) ).
thf(zip_derived_cl3_009,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_010,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_011,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl216,plain,
l1_group_1 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl8_012,plain,
m1_group_2 @ sk__4 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_013,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ( v3_group_1 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl243,plain,
( ( v3_group_1 @ sk__4 )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl43]) ).
thf(zip_derived_cl3_014,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_015,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_016,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
v3_group_1 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl8_017,plain,
m1_group_2 @ sk__4 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_018,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_group_2]) ).
thf(zip_derived_cl150,plain,
( ~ ( v3_struct_0 @ sk__4 )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl44]) ).
thf(zip_derived_cl3_019,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_020,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_021,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl154,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).
thf('0',plain,
r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl630,zip_derived_cl480,zip_derived_cl216,zip_derived_cl247,zip_derived_cl154]) ).
thf('1',plain,
( ( r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ) )
| ~ ( r1_tarski @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl619]) ).
thf('2',plain,
r1_tarski @ ( u1_struct_0 @ sk__5 ) @ ( u1_struct_0 @ sk__6 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl642,plain,
! [X0: $i] :
( ~ ( m1_group_2 @ sk__5 @ X0 )
| ~ ( m1_group_2 @ sk__6 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl628,'2']) ).
thf(zip_derived_cl646,plain,
( ~ ( m1_group_2 @ sk__5 @ sk__1 )
| ~ ( m1_group_2 @ sk__6 @ sk__1 )
| ~ ( l1_group_1 @ sk__1 )
| ~ ( v3_group_1 @ sk__1 )
| ( v3_struct_0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl642]) ).
thf(zip_derived_cl14,plain,
m1_group_2 @ sk__5 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_022,plain,
m1_group_2 @ sk__6 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_023,plain,
l1_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_024,plain,
v3_group_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_025,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl648,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl646,zip_derived_cl14,zip_derived_cl9,zip_derived_cl16,zip_derived_cl18,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CuYAVaL1l8 true
% 0.14/0.34 % Computer : n028.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 20:12:25 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
% 0.53/0.67 % Total configuration time : 435
% 0.53/0.67 % Estimated wc time : 1092
% 0.53/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/1.07 % Solved by fo/fo1_av.sh.
% 0.62/1.07 % done 327 iterations in 0.216s
% 0.62/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/1.07 % SZS output start Refutation
% See solution above
% 0.62/1.08
% 0.62/1.08
% 0.62/1.08 % Terminating...
% 0.66/1.21 % Runner terminated.
% 0.66/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------