%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:48:34 AM UTC 2026
% Result : Theorem 0.15s 0.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 138 ( 40 unt; 3 def)
% Number of atoms : 841 ( 34 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 1167 ( 464 ~; 441 |; 250 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 29 ( 27 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 133 ( 0 sgn 127 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f34,axiom,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel22) ).
fof(f42,axiom,
! [X0] :
( v1_orders_2(k2_yellow_1(X0))
& l1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f44,axiom,
! [X0] :
( v1_orders_2(k3_yellow_1(X0))
& l1_orders_2(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f66,axiom,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v11_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(f71,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel22) ).
fof(f76,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(f111,axiom,
! [X0] : k1_card_1(k1_waybel22(X0)) = k1_card_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_waybel22) ).
fof(f112,axiom,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_waybel22) ).
fof(f113,axiom,
! [X0] :
( ( 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) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2,X3] :
( ( r1_waybel22(X0,X2)
& r1_waybel22(X1,X3)
& k1_card_1(X2) = k1_card_1(X3) )
=> r5_waybel_1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_waybel22) ).
fof(f125,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f66]) ).
fof(f126,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f134,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f139,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f134]) ).
fof(f147,plain,
! [X0] :
( ~ v3_struct_0(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_8(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f150,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& r1_waybel22(X1,X2)
& k1_card_1(X2) = k1_card_1(X0) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) ),
inference(flattening,[],[f150]) ).
fof(f239,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f240,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f239]) ).
fof(f243,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f244,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f243]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X2) != k1_card_1(X3) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ 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) ),
inference(ennf_transformation,[],[f113]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X2) != k1_card_1(X3) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1) )
| ~ 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) ),
inference(flattening,[],[f273]) ).
fof(f286,plain,
k1_card_1(sK2) = k1_card_1(sK0),
inference(cnf_transformation,[],[f151]) ).
fof(f287,plain,
r1_waybel22(sK1,sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f288,plain,
~ r5_waybel_1(sK1,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0)))),
inference(cnf_transformation,[],[f151]) ).
fof(f289,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f290,plain,
v3_waybel_3(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f291,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f292,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f293,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f294,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f295,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f296,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f151]) ).
fof(f359,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f364,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f366,plain,
! [X0] : l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f409,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f412,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f414,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f415,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f416,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f418,plain,
! [X0] : ~ v3_struct_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f424,plain,
! [X0] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f427,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f240]) ).
fof(f448,plain,
! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f449,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f244]) ).
fof(f450,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f244]) ).
fof(f451,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f244]) ).
fof(f452,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f244]) ).
fof(f593,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f594,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f595,plain,
! [X2,X3,X0,X1] :
( r5_waybel_1(X0,X1)
| ~ v3_waybel_3(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(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)
| k1_card_1(X2) != k1_card_1(X3)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X0,X2)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f607,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f593,f359]) ).
fof(f608,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f594,f359]) ).
fof(f1553,plain,
! [X0] :
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(resolution,[],[f449,f409]) ).
fof(f1570,plain,
! [X0] :
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1553,f366]) ).
fof(f1579,plain,
! [X0] :
( ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1570,f412]) ).
fof(f1588,plain,
! [X0] :
( ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1579,f414]) ).
fof(f1597,plain,
! [X0] :
( ~ v2_orders_2(k3_yellow_1(X0))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1588,f415]) ).
fof(f1606,plain,
! [X0] : v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))),
inference(forward_subsumption_resolution,[],[f1597,f416]) ).
fof(f1612,plain,
! [X0] :
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(resolution,[],[f450,f409]) ).
fof(f1629,plain,
! [X0] :
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1612,f366]) ).
fof(f1638,plain,
! [X0] :
( ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1629,f412]) ).
fof(f1647,plain,
! [X0] :
( ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1638,f414]) ).
fof(f1656,plain,
! [X0] :
( ~ v2_orders_2(k3_yellow_1(X0))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1647,f415]) ).
fof(f1665,plain,
! [X0] : v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))),
inference(forward_subsumption_resolution,[],[f1656,f416]) ).
fof(f1666,plain,
! [X0] :
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(resolution,[],[f451,f409]) ).
fof(f1683,plain,
! [X0] :
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1666,f366]) ).
fof(f1692,plain,
! [X0] :
( ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1683,f412]) ).
fof(f1701,plain,
! [X0] :
( ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1692,f414]) ).
fof(f1710,plain,
! [X0] :
( ~ v2_orders_2(k3_yellow_1(X0))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1701,f415]) ).
fof(f1719,plain,
! [X0] : v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))),
inference(forward_subsumption_resolution,[],[f1710,f416]) ).
fof(f1732,plain,
! [X0] :
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(resolution,[],[f452,f409]) ).
fof(f1749,plain,
! [X0] :
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1732,f366]) ).
fof(f1758,plain,
! [X0] :
( ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1749,f412]) ).
fof(f1767,plain,
! [X0] :
( ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1758,f414]) ).
fof(f1776,plain,
! [X0] :
( ~ v2_orders_2(k3_yellow_1(X0))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f1767,f415]) ).
fof(f1785,plain,
! [X0] : v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))),
inference(forward_subsumption_resolution,[],[f1776,f416]) ).
fof(f2084,plain,
! [X0] :
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ l1_orders_2(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(resolution,[],[f427,f409]) ).
fof(f2101,plain,
! [X0] :
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f2084,f412]) ).
fof(f2110,plain,
! [X0] :
( ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f2101,f366]) ).
fof(f2119,plain,
! [X0] :
( ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f2110,f414]) ).
fof(f2128,plain,
! [X0] :
( ~ v2_orders_2(k3_yellow_1(X0))
| v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f2119,f415]) ).
fof(f2137,plain,
! [X0] :
( v3_struct_0(k3_yellow_1(X0))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ),
inference(forward_subsumption_resolution,[],[f2128,f416]) ).
fof(f2146,plain,
! [X0] : v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))),
inference(forward_subsumption_resolution,[],[f2137,f418]) ).
fof(f2423,plain,
! [X0,X1] :
( ~ v3_waybel_3(sK1)
| ~ v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v1_lattice3(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f595,f288]) ).
fof(f2424,plain,
! [X0,X1] :
( ~ v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v1_lattice3(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2423,f290]) ).
fof(f2425,plain,
! [X0,X1] :
( ~ v2_lattice3(sK1)
| ~ v1_lattice3(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2424,f291]) ).
fof(f2426,plain,
! [X0,X1] :
( ~ v1_lattice3(sK1)
| ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2425,f292]) ).
fof(f2427,plain,
! [X0,X1] :
( ~ v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2426,f293]) ).
fof(f2428,plain,
! [X0,X1] :
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2427,f294]) ).
fof(f2429,plain,
! [X0,X1] :
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2428,f295]) ).
fof(f2430,plain,
! [X0,X1] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2429,f296]) ).
fof(f2431,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2430,f364]) ).
fof(f2432,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2431,f1606]) ).
fof(f2433,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2432,f2146]) ).
fof(f2434,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2433,f1665]) ).
fof(f2435,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2434,f1719]) ).
fof(f2436,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2435,f1785]) ).
fof(f2437,plain,
! [X0,X1] :
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| ~ r1_waybel22(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f2436,f289]) ).
fof(f2439,definition,
( spl31_25
<=> ! [X0,X1] :
( k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(sK1,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl31_25])],[avatar_definition]) ).
fof(f2440,plain,
( ! [X0,X1] :
( ~ r1_waybel22(sK1,X0)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))),X1)
| k1_card_1(X0) != k1_card_1(X1) )
| ~ spl31_25 ),
inference(avatar_component_clause,[],[f2439]) ).
fof(f2442,definition,
( spl31_26
<=> v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).
fof(f2444,plain,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| spl31_26 ),
inference(avatar_component_clause,[],[f2442]) ).
fof(f2446,definition,
( spl31_27
<=> v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition]) ).
fof(f2448,plain,
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK0))))
| spl31_27 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f2449,plain,
( spl31_25
| ~ spl31_26
| ~ spl31_27 ),
inference(avatar_split_clause,[],[f2437,f2446,f2442,f2439]) ).
fof(f2450,plain,
( ~ v2_yellow_0(k3_yellow_1(sK0))
| ~ v2_lattice3(k3_yellow_1(sK0))
| ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(resolution,[],[f2444,f448]) ).
fof(f2451,plain,
( ~ v2_lattice3(k3_yellow_1(sK0))
| ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2450,f409]) ).
fof(f2452,plain,
( ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2451,f412]) ).
fof(f2453,plain,
( ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2452,f414]) ).
fof(f2454,plain,
( ~ v2_orders_2(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2453,f415]) ).
fof(f2455,plain,
( ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2454,f416]) ).
fof(f2456,plain,
( $false
| spl31_26 ),
inference(forward_subsumption_resolution,[],[f2455,f366]) ).
fof(f2457,plain,
spl31_26,
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2467,plain,
( ~ v2_lattice3(k3_yellow_1(sK0))
| ~ v2_yellow_0(k3_yellow_1(sK0))
| ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(resolution,[],[f2448,f424]) ).
fof(f2476,plain,
( ~ v2_yellow_0(k3_yellow_1(sK0))
| ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2467,f412]) ).
fof(f2481,plain,
( ~ v4_orders_2(k3_yellow_1(sK0))
| ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2476,f409]) ).
fof(f2486,plain,
( ~ v3_orders_2(k3_yellow_1(sK0))
| ~ v2_orders_2(k3_yellow_1(sK0))
| v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2481,f414]) ).
fof(f2491,plain,
( ~ v2_orders_2(k3_yellow_1(sK0))
| v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2486,f415]) ).
fof(f2496,plain,
( v3_struct_0(k3_yellow_1(sK0))
| ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2491,f416]) ).
fof(f2501,plain,
( ~ l1_orders_2(k3_yellow_1(sK0))
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2496,f418]) ).
fof(f2502,plain,
( $false
| spl31_27 ),
inference(forward_subsumption_resolution,[],[f2501,f366]) ).
fof(f2503,plain,
spl31_27,
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2541,plain,
( ! [X0] :
( ~ r1_waybel22(sK1,X0)
| k1_card_1(X0) != k1_card_1(a_1_0_waybel22(sK0)) )
| ~ spl31_25 ),
inference(resolution,[],[f2440,f608]) ).
fof(f2542,plain,
( ! [X0] :
( ~ r1_waybel22(sK1,X0)
| k1_card_1(X0) != k1_card_1(sK0) )
| ~ spl31_25 ),
inference(forward_demodulation,[],[f2541,f607]) ).
fof(f2581,plain,
( k1_card_1(sK2) != k1_card_1(sK0)
| ~ spl31_25 ),
inference(resolution,[],[f2542,f287]) ).
fof(f2582,plain,
( $false
| ~ spl31_25 ),
inference(forward_subsumption_resolution,[],[f2581,f286]) ).
fof(f2583,plain,
~ spl31_25,
inference(avatar_contradiction_clause,[],[f2582]) ).
cnf(s28,plain,
( spl31_25
| ~ spl31_26
| ~ spl31_27 ),
inference(sat_conversion,[],[f2449]) ).
cnf(s29,plain,
spl31_26,
inference(sat_conversion,[],[f2457]) ).
cnf(s30,plain,
spl31_27,
inference(sat_conversion,[],[f2503]) ).
cnf(s31,plain,
~ spl31_25,
inference(sat_conversion,[],[f2583]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s28,s30,s29,s31]) ).
fof(f2584,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 % Computer : n006.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Sun Sep 27 14:55:26 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.55 % (3065537)Will run a generic schedule for satisfiability detection.
% 0.15/0.55 % (3065548)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2926177813:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.55 % (3065543)% WARNING: option uhcvi not known.
% 0.15/0.55 % (3065542)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=118546679_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.55 % (3065543)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=272839049:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.55 % (3065544)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2541954421:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.55 % (3065545)dis+10_1_sil=32000:sp=arity:random_seed=48519943:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.55 % (3065546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1389115428:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.55 % (3065547)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=580737600:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.55 % TRYING [1]
% 0.15/0.55 % TRYING [2]
% 0.15/0.55 % TRYING [3]
% 0.15/0.55 % TRYING [4]
% 0.15/0.55 % (3065546) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3065537-3065546"...
% 0.15/0.55 % (3065548)Instruction limit reached!
% 0.15/0.55 % (3065548)------------------------------
% 0.15/0.55 % (3065548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (3065548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (3065548)CaDiCaL version: 2.1.3
% 0.15/0.55 % (3065548)Termination reason: Instruction limit
% 0.15/0.55 % (3065548)Termination phase: Saturation
% 0.15/0.55 % (3065548)Time elapsed: 0.054 s
% 0.15/0.55 % (3065548)Peak memory usage: 14 MB
% 0.15/0.55 % (3065548)Instructions burned: 159 (million)
% 0.15/0.55 % (3065546)...printing done.
% 0.15/0.55 % (3065546)Refutation found. Thanks to Tanya!
% 0.15/0.55 % SZS status Theorem for theBenchmark
% 0.15/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.56 % (3065546)------------------------------
% 0.15/0.56 % (3065546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.56 % (3065546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.56 % (3065546)CaDiCaL version: 2.1.3
% 0.15/0.56 % (3065546)Termination reason: Refutation
% 0.15/0.56 % (3065546)Time elapsed: 0.046 s
% 0.15/0.56 % (3065546)Peak memory usage: 13 MB
% 0.15/0.56 % (3065546)Instructions burned: 81 (million)
% 0.15/0.56 % (3065537)Success in time 0.083 s
% 0.15/0.56 % Vampire exiting
%------------------------------------------------------------------------------