TSTP Solution File: LAT351+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT351+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.L4GH7w0SGb true
% Computer : n007.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 06:47:12 EDT 2023
% Result : Theorem 0.57s 1.31s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 147 ( 65 unt; 33 typ; 0 def)
% Number of atoms : 463 ( 30 equ; 0 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1607 ( 292 ~; 266 |; 73 &; 966 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 33 usr; 4 con; 0-2 aty)
% Number of variables : 127 ( 0 ^; 127 !; 0 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_orders_2_type,type,
v1_orders_2: $i > $o ).
thf(v1_yellow_0_type,type,
v1_yellow_0: $i > $o ).
thf(a_1_0_waybel22_type,type,
a_1_0_waybel22: $i > $i ).
thf(v11_waybel_1_type,type,
v11_waybel_1: $i > $o ).
thf(v3_waybel_3_type,type,
v3_waybel_3: $i > $o ).
thf(v1_waybel_8_type,type,
v1_waybel_8: $i > $o ).
thf(v1_lattice3_type,type,
v1_lattice3: $i > $o ).
thf(v2_lattice3_type,type,
v2_lattice3: $i > $o ).
thf(k9_waybel_0_type,type,
k9_waybel_0: $i > $i ).
thf(r1_waybel22_type,type,
r1_waybel22: $i > $i > $o ).
thf(v2_yellow_0_type,type,
v2_yellow_0: $i > $o ).
thf(v2_orders_2_type,type,
v2_orders_2: $i > $o ).
thf(v3_orders_2_type,type,
v3_orders_2: $i > $o ).
thf(v3_lattice3_type,type,
v3_lattice3: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(k1_card_1_type,type,
k1_card_1: $i > $i ).
thf(v2_waybel_8_type,type,
v2_waybel_8: $i > $o ).
thf(v25_waybel_0_type,type,
v25_waybel_0: $i > $o ).
thf(v2_waybel_3_type,type,
v2_waybel_3: $i > $o ).
thf(v10_waybel_1_type,type,
v10_waybel_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v3_yellow_0_type,type,
v3_yellow_0: $i > $o ).
thf(r5_waybel_1_type,type,
r5_waybel_1: $i > $i > $o ).
thf(v2_waybel_1_type,type,
v2_waybel_1: $i > $o ).
thf(k3_yellow_1_type,type,
k3_yellow_1: $i > $i ).
thf(k2_yellow_1_type,type,
k2_yellow_1: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v24_waybel_0_type,type,
v24_waybel_0: $i > $o ).
thf(k1_waybel22_type,type,
k1_waybel22: $i > $i ).
thf(v9_waybel_1_type,type,
v9_waybel_1: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(v4_orders_2_type,type,
v4_orders_2: $i > $o ).
thf(t10_waybel22,axiom,
! [A: $i] :
( ( k1_card_1 @ ( k1_waybel22 @ A ) )
= ( k1_card_1 @ A ) ) ).
thf(zip_derived_cl400,plain,
! [X0: $i] :
( ( k1_card_1 @ ( k1_waybel22 @ X0 ) )
= ( k1_card_1 @ X0 ) ),
inference(cnf,[status(esa)],[t10_waybel22]) ).
thf(d2_waybel22,axiom,
! [A: $i] :
( ( k1_waybel22 @ A )
= ( a_1_0_waybel22 @ A ) ) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( k1_waybel22 @ X0 )
= ( a_1_0_waybel22 @ X0 ) ),
inference(cnf,[status(esa)],[d2_waybel22]) ).
thf(zip_derived_cl4193,plain,
! [X0: $i] :
( ( k1_card_1 @ ( a_1_0_waybel22 @ X0 ) )
= ( k1_card_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl400,zip_derived_cl142]) ).
thf(t18_waybel22,conjecture,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( r1_waybel22 @ B @ C )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ A ) ) )
=> ( r5_waybel_1 @ B @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( r1_waybel22 @ B @ C )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ A ) ) )
=> ( r5_waybel_1 @ B @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t18_waybel22]) ).
thf(zip_derived_cl10,plain,
r1_waybel22 @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc1_waybel22,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v2_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_yellow_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v24_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v25_waybel_0 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) )
& ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl228,plain,
! [X0: $i] :
( ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(cc2_lattice3,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v2_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5109,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl67]) ).
thf(zip_derived_cl229,plain,
! [X0: $i] :
( ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_001,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5122,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl229,zip_derived_cl67]) ).
thf(zip_derived_cl230,plain,
! [X0: $i] :
( ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_002,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5139,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl230,zip_derived_cl67]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_003,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5182,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl236,zip_derived_cl67]) ).
thf(zip_derived_cl237,plain,
! [X0: $i] :
( ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_004,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5191,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl237,zip_derived_cl67]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_005,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5201,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl238,zip_derived_cl67]) ).
thf(zip_derived_cl239,plain,
! [X0: $i] :
( ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel22]) ).
thf(zip_derived_cl67_006,plain,
! [X0: $i] :
( ~ ( v2_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc2_lattice3]) ).
thf(zip_derived_cl5216,plain,
! [X0: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl67]) ).
thf(t17_waybel22,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( v3_waybel_3 @ 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 )
& ( v3_lattice3 @ B )
& ( v3_waybel_3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i,D: $i] :
( ( ( r1_waybel22 @ A @ C )
& ( r1_waybel22 @ B @ D )
& ( ( k1_card_1 @ C )
= ( k1_card_1 @ D ) ) )
=> ( r5_waybel_1 @ A @ B ) ) ) ) ).
thf(zip_derived_cl402,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 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v3_waybel_3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( r5_waybel_1 @ X1 @ X0 )
| ~ ( r1_waybel22 @ X1 @ X2 )
| ~ ( r1_waybel22 @ X0 @ X3 )
| ( ( k1_card_1 @ X2 )
!= ( k1_card_1 @ X3 ) )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_waybel_3 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[t17_waybel22]) ).
thf(zip_derived_cl8,plain,
~ ( r5_waybel_1 @ sk__1 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3452,plain,
! [X0: $i,X1: $i] :
( ~ ( v2_orders_2 @ sk__1 )
| ~ ( v3_orders_2 @ sk__1 )
| ~ ( v4_orders_2 @ sk__1 )
| ~ ( v1_lattice3 @ sk__1 )
| ~ ( v2_lattice3 @ sk__1 )
| ~ ( v3_lattice3 @ sk__1 )
| ~ ( v3_waybel_3 @ sk__1 )
| ~ ( l1_orders_2 @ sk__1 )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( l1_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl402,zip_derived_cl8]) ).
thf(zip_derived_cl0,plain,
v2_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v3_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v4_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
v1_lattice3 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
v2_lattice3 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
v3_lattice3 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
v3_waybel_3 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
l1_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_yellow_1,axiom,
! [A: $i] :
( ( l1_orders_2 @ ( k2_yellow_1 @ A ) )
& ( v1_orders_2 @ ( k2_yellow_1 @ A ) ) ) ).
thf(zip_derived_cl152,plain,
! [X0: $i] : ( l1_orders_2 @ ( k2_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl5570,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v3_waybel_3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3452,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6,zip_derived_cl7,zip_derived_cl152]) ).
thf(zip_derived_cl5574,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5216,zip_derived_cl5570]) ).
thf(dt_k3_yellow_1,axiom,
! [A: $i] :
( ( l1_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v1_orders_2 @ ( k3_yellow_1 @ A ) ) ) ).
thf(zip_derived_cl155,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(fc14_waybel_8,axiom,
! [A: $i] :
( ( v2_waybel_8 @ ( k3_yellow_1 @ A ) )
& ( v1_waybel_8 @ ( k3_yellow_1 @ A ) )
& ( v3_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_3 @ ( k3_yellow_1 @ A ) )
& ( v11_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v10_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v9_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v2_waybel_1 @ ( k3_yellow_1 @ A ) )
& ( v25_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v24_waybel_0 @ ( k3_yellow_1 @ A ) )
& ( v3_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v2_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v1_yellow_0 @ ( k3_yellow_1 @ A ) )
& ( v3_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v2_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v1_lattice3 @ ( k3_yellow_1 @ A ) )
& ( v4_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v3_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v2_orders_2 @ ( k3_yellow_1 @ A ) )
& ( v1_orders_2 @ ( k3_yellow_1 @ A ) )
& ~ ( v3_struct_0 @ ( k3_yellow_1 @ A ) ) ) ).
thf(zip_derived_cl206,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5587,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v3_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5574,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5616,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5201,zip_derived_cl5587]) ).
thf(zip_derived_cl155_007,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_008,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_009,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_010,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_011,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_012,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5625,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v2_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5616,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5651,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5191,zip_derived_cl5625]) ).
thf(zip_derived_cl155_013,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_014,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_015,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_016,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_017,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_018,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5658,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v1_lattice3 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5651,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5685,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5182,zip_derived_cl5658]) ).
thf(zip_derived_cl155_019,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_020,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_021,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_022,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_023,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_024,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5692,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v4_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5685,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5709,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5139,zip_derived_cl5692]) ).
thf(zip_derived_cl155_025,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_026,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_027,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_028,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_029,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_030,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5716,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v3_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5709,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5727,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5122,zip_derived_cl5716]) ).
thf(zip_derived_cl155_031,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_032,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_033,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_034,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_035,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_036,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5734,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 )
| ~ ( v2_orders_2 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5727,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5735,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_lattice3 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_yellow_0 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v4_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v3_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ~ ( v2_orders_2 @ ( k3_yellow_1 @ sk_ ) )
| ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5109,zip_derived_cl5734]) ).
thf(zip_derived_cl155_037,plain,
! [X0: $i] : ( l1_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(zip_derived_cl206_038,plain,
! [X0: $i] : ( v2_lattice3 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl209_039,plain,
! [X0: $i] : ( v2_yellow_0 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl204_040,plain,
! [X0: $i] : ( v4_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl203_041,plain,
! [X0: $i] : ( v3_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl202_042,plain,
! [X0: $i] : ( v2_orders_2 @ ( k3_yellow_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc14_waybel_8]) ).
thf(zip_derived_cl5742,plain,
! [X0: $i,X1: $i] :
( ( ( k1_card_1 @ X0 )
!= ( k1_card_1 @ X1 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X1 )
| ~ ( r1_waybel22 @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5735,zip_derived_cl155,zip_derived_cl206,zip_derived_cl209,zip_derived_cl204,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl5743,plain,
! [X0: $i] :
( ( ( k1_card_1 @ sk__2 )
!= ( k1_card_1 @ X0 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl5742]) ).
thf(zip_derived_cl9,plain,
( ( k1_card_1 @ sk__2 )
= ( k1_card_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5744,plain,
! [X0: $i] :
( ( ( k1_card_1 @ sk_ )
!= ( k1_card_1 @ X0 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5743,zip_derived_cl9]) ).
thf(zip_derived_cl5749,plain,
! [X0: $i] :
( ( ( k1_card_1 @ sk_ )
!= ( k1_card_1 @ X0 ) )
| ~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ ( a_1_0_waybel22 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4193,zip_derived_cl5744]) ).
thf(zip_derived_cl5781,plain,
~ ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ sk_ ) ) ) @ ( a_1_0_waybel22 @ sk_ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5749]) ).
thf(t16_waybel22,axiom,
! [A: $i] : ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ A ) ) ) @ ( k1_waybel22 @ A ) ) ).
thf(zip_derived_cl401,plain,
! [X0: $i] : ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ X0 ) ) ) @ ( k1_waybel22 @ X0 ) ),
inference(cnf,[status(esa)],[t16_waybel22]) ).
thf(zip_derived_cl142_043,plain,
! [X0: $i] :
( ( k1_waybel22 @ X0 )
= ( a_1_0_waybel22 @ X0 ) ),
inference(cnf,[status(esa)],[d2_waybel22]) ).
thf(zip_derived_cl4226,plain,
! [X0: $i] : ( r1_waybel22 @ ( k2_yellow_1 @ ( k9_waybel_0 @ ( k3_yellow_1 @ X0 ) ) ) @ ( a_1_0_waybel22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl401,zip_derived_cl142]) ).
thf(zip_derived_cl5782,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5781,zip_derived_cl4226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L4GH7w0SGb true
% 0.14/0.34 % Computer : n007.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 : Thu Aug 24 09:56:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/1.31 % Solved by fo/fo6_bce.sh.
% 0.57/1.31 % BCE start: 414
% 0.57/1.31 % BCE eliminated: 25
% 0.57/1.31 % PE start: 389
% 0.57/1.31 logic: eq
% 0.57/1.31 % PE eliminated: -6
% 0.57/1.31 % done 662 iterations in 0.594s
% 0.57/1.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.31 % SZS output start Refutation
% See solution above
% 0.57/1.31
% 0.57/1.31
% 0.57/1.31 % Terminating...
% 0.57/1.35 % Runner terminated.
% 0.57/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------