TSTP Solution File: LAT356+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT356+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.Fu355TdLkY true
% Computer : n031.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 06:47:15 EDT 2023
% Result : Theorem 9.78s 2.09s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 44
% Syntax : Number of formulae : 109 ( 19 unt; 35 typ; 0 def)
% Number of atoms : 613 ( 55 equ; 0 cnn)
% Maximal formula atoms : 27 ( 8 avg)
% Number of connectives : 2220 ( 425 ~; 447 |; 71 &;1256 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 35 usr; 2 con; 0-4 aty)
% Number of variables : 78 ( 0 ^; 78 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_lattice3_type,type,
v1_lattice3: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v17_waybel_0_type,type,
v17_waybel_0: $i > $i > $i > $o ).
thf(v2_orders_2_type,type,
v2_orders_2: $i > $o ).
thf(v8_waybel_1_type,type,
v8_waybel_1: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(v3_waybel_1_type,type,
v3_waybel_1: $i > $i > $i > $o ).
thf(v6_waybel_1_type,type,
v6_waybel_1: $i > $i > $o ).
thf(v2_lattice3_type,type,
v2_lattice3: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v18_waybel_0_type,type,
v18_waybel_0: $i > $i > $i > $o ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v20_waybel_0_type,type,
v20_waybel_0: $i > $i > $i > $o ).
thf(v7_waybel_1_type,type,
v7_waybel_1: $i > $i > $o ).
thf(v3_lattice3_type,type,
v3_lattice3: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v3_orders_2_type,type,
v3_orders_2: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(k7_grcat_1_type,type,
k7_grcat_1: $i > $i ).
thf(v23_waybel_0_type,type,
v23_waybel_0: $i > $i > $i > $o ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(v4_orders_2_type,type,
v4_orders_2: $i > $o ).
thf(v11_quantal1_type,type,
v11_quantal1: $i > $o ).
thf(v5_orders_3_type,type,
v5_orders_3: $i > $i > $i > $o ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(v22_waybel_0_type,type,
v22_waybel_0: $i > $i > $i > $o ).
thf(k1_waybel34_type,type,
k1_waybel34: $i > $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v19_waybel_0_type,type,
v19_waybel_0: $i > $i > $i > $o ).
thf(v21_waybel_0_type,type,
v21_waybel_0: $i > $i > $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k2_waybel34_type,type,
k2_waybel34: $i > $i > $i > $i ).
thf(k1_waybel_1_type,type,
k1_waybel_1: $i > $i > $i > $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(cc1_lattice3,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( v1_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattice3]) ).
thf(fc2_waybel_1,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A ) ) ) ).
thf(zip_derived_cl148,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc2_waybel_1]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc2_waybel_1]) ).
thf(fc4_waybel10,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( v1_relat_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v2_funct_1 @ ( k7_grcat_1 @ A ) )
& ~ ( v1_xboole_0 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v11_quantal1 @ ( k7_grcat_1 @ A ) )
& ( v5_orders_3 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v17_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v18_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v19_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v20_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v21_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v22_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v23_waybel_0 @ ( k7_grcat_1 @ A ) @ A @ A )
& ( v6_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v7_waybel_1 @ ( k7_grcat_1 @ A ) @ A )
& ( v8_waybel_1 @ ( k7_grcat_1 @ A ) @ A ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( v17_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc4_waybel10]) ).
thf(dt_l1_orders_2,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(dt_k7_grcat_1,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( v1_funct_1 @ ( k7_grcat_1 @ A ) )
& ( v1_funct_2 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( k7_grcat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k7_grcat_1]) ).
thf(zip_derived_cl3861,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl120,zip_derived_cl119]) ).
thf(t6_waybel34,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ A @ ( k7_grcat_1 @ A ) @ ( k7_grcat_1 @ A ) ) @ A @ A ) ) ).
thf(zip_derived_cl302,plain,
! [X0: $i] :
( ( v3_waybel_1 @ ( k1_waybel_1 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) @ ( k7_grcat_1 @ X0 ) ) @ X0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_waybel34]) ).
thf(d1_waybel34,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v17_waybel_0 @ C @ A @ B ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( D
= ( k1_waybel34 @ A @ B @ C ) )
<=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ C @ D ) @ A @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v17_waybel_0 @ X2 @ X1 @ X0 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v3_waybel_1 @ ( k1_waybel_1 @ X1 @ X0 @ X2 @ X3 ) @ X1 @ X0 )
| ( X3
= ( k1_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[d1_waybel34]) ).
thf(zip_derived_cl3767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( k1_waybel_1 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) @ ( k7_grcat_1 @ X0 ) )
!= ( k1_waybel_1 @ X2 @ X1 @ X3 @ X4 ) )
| ( X0 != X2 )
| ( X0 != X1 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X2 )
| ~ ( v3_orders_2 @ X2 )
| ~ ( v4_orders_2 @ X2 )
| ~ ( v1_lattice3 @ X2 )
| ~ ( v2_lattice3 @ X2 )
| ~ ( l1_orders_2 @ X2 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X1 ) )
| ( X4
= ( k1_waybel34 @ X2 @ X1 @ X3 ) )
| ~ ( m2_relset_1 @ X4 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_2 @ X4 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v17_waybel_0 @ X3 @ X2 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl302,zip_derived_cl106]) ).
thf(zip_derived_cl4478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v17_waybel_0 @ X2 @ X1 @ X0 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ( X3
= ( k1_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ( X1 != X0 )
| ( ( k1_waybel_1 @ X1 @ X1 @ ( k7_grcat_1 @ X1 ) @ ( k7_grcat_1 @ X1 ) )
!= ( k1_waybel_1 @ X1 @ X0 @ X2 @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3767]) ).
thf(zip_derived_cl4479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k1_waybel_1 @ X1 @ X1 @ ( k7_grcat_1 @ X1 ) @ ( k7_grcat_1 @ X1 ) )
!= ( k1_waybel_1 @ X1 @ X0 @ X2 @ X3 ) )
| ( X1 != X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v2_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( X3
= ( k1_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v17_waybel_0 @ X2 @ X1 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4478]) ).
thf(zip_derived_cl5657,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v17_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ( X0 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4479]) ).
thf(zip_derived_cl5658,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v17_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5657]) ).
thf(zip_derived_cl5676,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v17_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ( v3_struct_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3861,zip_derived_cl5658]) ).
thf(zip_derived_cl5679,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v17_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5676]) ).
thf(zip_derived_cl5880,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ( v3_struct_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl5679]) ).
thf(zip_derived_cl5881,plain,
! [X0: $i] :
( ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5880]) ).
thf(zip_derived_cl5888,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl5881]) ).
thf(zip_derived_cl5891,plain,
! [X0: $i] :
( ( ( k7_grcat_1 @ X0 )
= ( k1_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5888]) ).
thf(zip_derived_cl149_001,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc2_waybel_1]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] :
( ( v18_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc4_waybel10]) ).
thf(zip_derived_cl3861_002,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl120,zip_derived_cl119]) ).
thf(zip_derived_cl302_003,plain,
! [X0: $i] :
( ( v3_waybel_1 @ ( k1_waybel_1 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) @ ( k7_grcat_1 @ X0 ) ) @ X0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_waybel34]) ).
thf(d2_waybel34,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ( ( ( v3_lattice3 @ A )
& ( v3_lattice3 @ B )
& ( v18_waybel_0 @ C @ B @ A ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( D
= ( k2_waybel34 @ A @ B @ C ) )
<=> ( v3_waybel_1 @ ( k1_waybel_1 @ A @ B @ D @ C ) @ A @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v18_waybel_0 @ X2 @ X0 @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v3_waybel_1 @ ( k1_waybel_1 @ X1 @ X0 @ X3 @ X2 ) @ X1 @ X0 )
| ( X3
= ( k2_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[d2_waybel34]) ).
thf(zip_derived_cl3770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( k1_waybel_1 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) @ ( k7_grcat_1 @ X0 ) )
!= ( k1_waybel_1 @ X2 @ X1 @ X4 @ X3 ) )
| ( X0 != X2 )
| ( X0 != X1 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X2 )
| ~ ( v3_orders_2 @ X2 )
| ~ ( v4_orders_2 @ X2 )
| ~ ( v1_lattice3 @ X2 )
| ~ ( v2_lattice3 @ X2 )
| ~ ( l1_orders_2 @ X2 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X2 ) )
| ( X4
= ( k2_waybel34 @ X2 @ X1 @ X3 ) )
| ~ ( m2_relset_1 @ X4 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_2 @ X4 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v18_waybel_0 @ X3 @ X1 @ X2 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl302,zip_derived_cl108]) ).
thf(zip_derived_cl4480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v18_waybel_0 @ X2 @ X0 @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( X3
= ( k2_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ( X1 != X0 )
| ( ( k1_waybel_1 @ X1 @ X1 @ ( k7_grcat_1 @ X1 ) @ ( k7_grcat_1 @ X1 ) )
!= ( k1_waybel_1 @ X1 @ X0 @ X3 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3770]) ).
thf(zip_derived_cl4481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k1_waybel_1 @ X1 @ X1 @ ( k7_grcat_1 @ X1 ) @ ( k7_grcat_1 @ X1 ) )
!= ( k1_waybel_1 @ X1 @ X0 @ X3 @ X2 ) )
| ( X1 != X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v2_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) )
| ( X3
= ( k2_waybel34 @ X1 @ X0 @ X2 ) )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v18_waybel_0 @ X2 @ X0 @ X1 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4480]) ).
thf(zip_derived_cl5736,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v18_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ( X0 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4481]) ).
thf(zip_derived_cl5737,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v18_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5736]) ).
thf(zip_derived_cl5987,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v18_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ( v3_struct_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3861,zip_derived_cl5737]) ).
thf(zip_derived_cl5990,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v18_waybel_0 @ ( k7_grcat_1 @ X0 ) @ X0 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5987]) ).
thf(zip_derived_cl6300,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ( v3_struct_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl5990]) ).
thf(zip_derived_cl6302,plain,
! [X0: $i] :
( ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6300]) ).
thf(zip_derived_cl6311,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl6302]) ).
thf(zip_derived_cl6314,plain,
! [X0: $i] :
( ( ( k7_grcat_1 @ X0 )
= ( k2_waybel34 @ X0 @ X0 @ ( k7_grcat_1 @ X0 ) ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ X0 ) )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6311]) ).
thf(t7_waybel34,conjecture,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( ( k1_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) )
& ( ( k2_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ( ( k1_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) )
& ( ( k2_waybel34 @ A @ A @ ( k7_grcat_1 @ A ) )
= ( k7_grcat_1 @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t7_waybel34]) ).
thf(zip_derived_cl311,plain,
( ( ( k1_waybel34 @ sk__19 @ sk__19 @ ( k7_grcat_1 @ sk__19 ) )
!= ( k7_grcat_1 @ sk__19 ) )
| ( ( k2_waybel34 @ sk__19 @ sk__19 @ ( k7_grcat_1 @ sk__19 ) )
!= ( k7_grcat_1 @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6348,plain,
( ( ( k7_grcat_1 @ sk__19 )
!= ( k7_grcat_1 @ sk__19 ) )
| ~ ( l1_orders_2 @ sk__19 )
| ( v3_struct_0 @ sk__19 )
| ~ ( v2_orders_2 @ sk__19 )
| ~ ( v3_orders_2 @ sk__19 )
| ~ ( v4_orders_2 @ sk__19 )
| ~ ( v1_lattice3 @ sk__19 )
| ~ ( v2_lattice3 @ sk__19 )
| ~ ( v3_lattice3 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( ( k1_waybel34 @ sk__19 @ sk__19 @ ( k7_grcat_1 @ sk__19 ) )
!= ( k7_grcat_1 @ sk__19 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6314,zip_derived_cl311]) ).
thf(zip_derived_cl310,plain,
l1_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl304,plain,
v2_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl305,plain,
v3_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
v4_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307,plain,
v1_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308,plain,
v2_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl309,plain,
v3_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6387,plain,
( ( ( k7_grcat_1 @ sk__19 )
!= ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( ( k1_waybel34 @ sk__19 @ sk__19 @ ( k7_grcat_1 @ sk__19 ) )
!= ( k7_grcat_1 @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6348,zip_derived_cl310,zip_derived_cl304,zip_derived_cl305,zip_derived_cl306,zip_derived_cl307,zip_derived_cl308,zip_derived_cl309]) ).
thf(zip_derived_cl6388,plain,
( ( ( k1_waybel34 @ sk__19 @ sk__19 @ ( k7_grcat_1 @ sk__19 ) )
!= ( k7_grcat_1 @ sk__19 ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6387]) ).
thf(zip_derived_cl6389,plain,
( ( ( k7_grcat_1 @ sk__19 )
!= ( k7_grcat_1 @ sk__19 ) )
| ~ ( l1_orders_2 @ sk__19 )
| ( v3_struct_0 @ sk__19 )
| ~ ( v2_orders_2 @ sk__19 )
| ~ ( v3_orders_2 @ sk__19 )
| ~ ( v4_orders_2 @ sk__19 )
| ~ ( v1_lattice3 @ sk__19 )
| ~ ( v2_lattice3 @ sk__19 )
| ~ ( v3_lattice3 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5891,zip_derived_cl6388]) ).
thf(zip_derived_cl310_004,plain,
l1_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl304_005,plain,
v2_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl305_006,plain,
v3_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306_007,plain,
v4_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307_008,plain,
v1_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_009,plain,
v2_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl309_010,plain,
v3_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6390,plain,
( ( ( k7_grcat_1 @ sk__19 )
!= ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6389,zip_derived_cl310,zip_derived_cl304,zip_derived_cl305,zip_derived_cl306,zip_derived_cl307,zip_derived_cl308,zip_derived_cl309]) ).
thf(zip_derived_cl6391,plain,
( ~ ( v1_funct_1 @ ( k7_grcat_1 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6390]) ).
thf(zip_derived_cl6395,plain,
( ~ ( l1_orders_2 @ sk__19 )
| ( v3_struct_0 @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl6391]) ).
thf(zip_derived_cl310_011,plain,
l1_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6396,plain,
v3_struct_0 @ sk__19,
inference(demod,[status(thm)],[zip_derived_cl6395,zip_derived_cl310]) ).
thf(zip_derived_cl6400,plain,
( ~ ( l1_orders_2 @ sk__19 )
| ~ ( v1_lattice3 @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl6396]) ).
thf(zip_derived_cl310_012,plain,
l1_orders_2 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307_013,plain,
v1_lattice3 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6402,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6400,zip_derived_cl310,zip_derived_cl307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Fu355TdLkY true
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 09:49:50 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.78/2.09 % Solved by fo/fo3_bce.sh.
% 9.78/2.09 % BCE start: 312
% 9.78/2.09 % BCE eliminated: 60
% 9.78/2.09 % PE start: 252
% 9.78/2.09 logic: eq
% 9.78/2.09 % PE eliminated: 13
% 9.78/2.09 % done 915 iterations in 1.367s
% 9.78/2.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.78/2.09 % SZS output start Refutation
% See solution above
% 9.78/2.09
% 9.78/2.09
% 9.78/2.09 % Terminating...
% 10.79/2.15 % Runner terminated.
% 10.79/2.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------