%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT358+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 : Fri Sep 25 01:59:37 PM UTC 2026
% Result : Theorem 90.66s 14.28s
% Output : CNFRefutation 83.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 186 ( 65 unt; 0 def)
% Number of atoms : 1575 ( 29 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 2481 (1092 ~;1124 |; 222 &)
% ( 4 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 283 ( 0 sgn 273 !; 10 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k2_waybel34(X2,X0,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) = k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k2_waybel34(X2,X1,X4),k2_waybel34(X1,X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k2_waybel34(X2,X0,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) = k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k2_waybel34(X2,X1,X4),k2_waybel34(X1,X0,X3)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f28,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f33,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f44,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [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) )
=> ( ( v18_waybel_0(X2,X1,X0)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( 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) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_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(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f56,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f79,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f106,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f109,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ! [X4] :
( ( 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) )
=> ( ( v18_waybel_0(X4,X1,X2)
& v18_waybel_0(X3,X0,X1) )
=> v18_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_waybel20) ).
fof(f116,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ! [X4] :
( ( 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) )
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X6) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1) )
=> v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel15) ).
fof(f142,plain,
? [X0] :
( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ? [X2] :
( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ? [X3] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& ? [X4] :
( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& k2_waybel34(X2,X0,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k2_waybel34(X2,X1,X4),k2_waybel34(X1,X0,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f143,plain,
? [X0] :
( l1_orders_2(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ? [X2] :
( l1_orders_2(X2)
& v3_lattice3(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ? [X3] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& ? [X4] :
( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v18_waybel_0(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4)
& k2_waybel34(X2,X0,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4)) != k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),k2_waybel34(X2,X1,X4),k2_waybel34(X1,X0,X3)) ) ) ) ) ),
inference(flattening,[],[f142]) ).
fof(f167,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f168,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f167]) ).
fof(f179,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f180,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f179]) ).
fof(f187,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f188,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f187]) ).
fof(f204,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ! [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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [X3] :
( ~ 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)
| ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f205,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ! [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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [X3] :
( ~ 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)
| ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ m1_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(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ m1_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(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k2_waybel34(X0,X1,X2)) ) ),
inference(flattening,[],[f206]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f230,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f231,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f230]) ).
fof(f259,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ 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)
| ! [X4] :
( ~ 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)
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X3,X0,X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f260,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ 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)
| ! [X4] :
( ~ 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)
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X3,X0,X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ) ) ) ) ),
inference(flattening,[],[f259]) ).
fof(f269,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ 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)
| ! [X4] :
( ~ 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)
| ! [X5] :
( ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f270,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ 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)
| ! [X4] :
( ~ 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)
| ! [X5] :
( ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f269]) ).
fof(f276,plain,
( l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK3)
& v3_lattice3(sK3)
& v2_lattice3(sK3)
& v1_lattice3(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3)
& l1_orders_2(sK4)
& v3_lattice3(sK4)
& v2_lattice3(sK4)
& v1_lattice3(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK4)
& v2_orders_2(sK4)
& m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v18_waybel_0(sK5,sK2,sK3)
& v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK5)
& m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v18_waybel_0(sK6,sK3,sK4)
& v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
& v1_funct_1(sK6)
& k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f143]) ).
fof(f279,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ! [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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ! [X3] :
( ~ 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)
| ( ( k2_waybel34(X0,X1,X2) != X3
| v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
& ( ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| X3 = k2_waybel34(X0,X1,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f205]) ).
fof(f301,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f302,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f303,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f304,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f305,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f306,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f307,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f308,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f276]) ).
fof(f309,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f310,plain,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f311,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f312,plain,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f313,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f314,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f315,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f316,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f317,plain,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f318,plain,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f319,plain,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f320,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f321,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f322,plain,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f323,plain,
m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f276]) ).
fof(f324,plain,
v18_waybel_0(sK5,sK2,sK3),
inference(cnf_transformation,[],[f276]) ).
fof(f325,plain,
v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f276]) ).
fof(f326,plain,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f276]) ).
fof(f327,plain,
m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f276]) ).
fof(f328,plain,
v18_waybel_0(sK6,sK3,sK4),
inference(cnf_transformation,[],[f276]) ).
fof(f329,plain,
v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f276]) ).
fof(f330,plain,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f276]) ).
fof(f331,plain,
k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),
inference(cnf_transformation,[],[f276]) ).
fof(f392,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f407,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f430,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ 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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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)
| k2_waybel34(X0,X1,X2) != X3
| v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f451,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ 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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ 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)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f279]) ).
fof(f453,plain,
! [X2,X0,X1] :
( ~ m1_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(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f454,plain,
! [X2,X0,X1] :
( ~ m1_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(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f455,plain,
! [X2,X0,X1] :
( ~ m1_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(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_1(k2_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f459,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f460,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f496,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f301]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X2)
| v3_struct_0(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)
| ~ 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)
| ~ v18_waybel_0(X4,X1,X2)
| ~ v18_waybel_0(X3,X0,X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f260]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| v3_struct_0(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)
| ~ 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)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X6)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X5),X0,X1)
| v3_waybel_1(k1_waybel_1(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X3,X4),k7_funct_2(u1_struct_0(X2),u1_struct_0(X1),u1_struct_0(X0),X6,X5)),X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f600,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ 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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(equality_resolution,[],[f450]) ).
tcf(c_49,negated_conjecture,
k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) != k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)),
inference(cnf_transformation,[],[f331]) ).
tcf(c_50,negated_conjecture,
v1_funct_1(sK6),
inference(cnf_transformation,[],[f330]) ).
tcf(c_51,negated_conjecture,
v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f329]) ).
tcf(c_52,negated_conjecture,
v18_waybel_0(sK6,sK3,sK4),
inference(cnf_transformation,[],[f328]) ).
tcf(c_53,negated_conjecture,
m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)),
inference(cnf_transformation,[],[f327]) ).
tcf(c_54,negated_conjecture,
v1_funct_1(sK5),
inference(cnf_transformation,[],[f326]) ).
tcf(c_55,negated_conjecture,
v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f325]) ).
tcf(c_56,negated_conjecture,
v18_waybel_0(sK5,sK2,sK3),
inference(cnf_transformation,[],[f324]) ).
tcf(c_57,negated_conjecture,
m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f323]) ).
tcf(c_58,negated_conjecture,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f322]) ).
tcf(c_59,negated_conjecture,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f321]) ).
tcf(c_60,negated_conjecture,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f320]) ).
tcf(c_61,negated_conjecture,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f319]) ).
tcf(c_62,negated_conjecture,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f318]) ).
tcf(c_63,negated_conjecture,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f317]) ).
tcf(c_64,negated_conjecture,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f316]) ).
tcf(c_65,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f315]) ).
tcf(c_66,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f314]) ).
tcf(c_67,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f313]) ).
tcf(c_68,negated_conjecture,
v1_lattice3(sK3),
inference(cnf_transformation,[],[f312]) ).
tcf(c_69,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f311]) ).
tcf(c_70,negated_conjecture,
v3_lattice3(sK3),
inference(cnf_transformation,[],[f310]) ).
tcf(c_71,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f309]) ).
tcf(c_72,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f308]) ).
tcf(c_73,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f307]) ).
tcf(c_74,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f306]) ).
tcf(c_75,negated_conjecture,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f305]) ).
tcf(c_76,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f304]) ).
tcf(c_77,negated_conjecture,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f303]) ).
tcf(c_78,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f302]) ).
tcf(c_128,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_136,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_157,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_waybel34(X0,X1,X3) = X2 )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,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))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f600]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k2_waybel34(X2,X1,X0))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k7_funct_2(X1,X2,X4,X0,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_179,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_215,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),X1,X4)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X3,X2,X4)
| ~ v18_waybel_0(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v3_struct_0(X4)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v3_waybel_1(k1_waybel_1(X4,X1,k7_funct_2(u1_struct_0(X4),u1_struct_0(X0),u1_struct_0(X1),X5,X2),k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X4),X3,X6)),X4,X1)
| ~ l1_orders_2(X4)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X4)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X4)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X4)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X6,u1_struct_0(X0),u1_struct_0(X4))
| ~ m2_relset_1(X5,u1_struct_0(X4),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X6,u1_struct_0(X0),u1_struct_0(X4))
| ~ v1_funct_2(X5,u1_struct_0(X4),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X4,X0,X5,X6),X4,X0)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f597]) ).
tcf(c_327,plain,
( l1_struct_0(sK3)
| ~ l1_orders_2(sK3) ),
inference(instantiation,[status(thm)],[c_179]) ).
tcf(c_383,plain,
( v3_struct_0(sK3)
| ~ l1_struct_0(sK3)
| ~ v1_xboole_0(u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_384,plain,
( ~ v3_struct_0(sK3)
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_waybel34(X0,X1,X3) = X2 )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X3,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_170,c_157,c_136,c_170]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_waybel34(X0,X1,X3) = X2 )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ),
inference(renaming,[status(thm)],[c_510]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_171,c_157,c_136,c_171]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,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))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_512]) ).
tcf(c_9180,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_9182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_12594,plain,
( m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_12595,plain,
( m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_12598,plain,
! [X0: $i] :
( ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) = k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) )
| ( k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != X0 )
| ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) != X0 ) ),
inference(instantiation,[status(thm)],[c_9182]) ).
tcf(c_12697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k7_funct_2(X1,X2,X3,X0,sK6))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(sK6,X2,X3)
| ~ v1_funct_2(sK6,X2,X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_12732,plain,
( ~ v3_struct_0(sK4)
| ~ v1_lattice3(sK4) ),
inference(superposition,[status(thm)],[c_64,c_128]) ).
tcf(c_12734,plain,
( ~ v3_struct_0(sK2)
| ~ v1_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_78,c_128]) ).
tcf(c_12737,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_12734,c_75]) ).
tcf(c_12739,plain,
~ v3_struct_0(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_12732,c_61]) ).
tcf(c_12760,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k2_waybel34(X1,X0,sK6))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK6,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK6,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_12762,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k2_waybel34(X1,X0,sK5))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK5,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK5,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_12801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k7_funct_2(X1,X2,X3,X0,sK6),X1,X3)
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(sK6,X2,X3)
| ~ v1_funct_2(sK6,X2,X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_12839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k7_funct_2(X1,X2,X3,X0,sK6),X1,X3)
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(sK6,X2,X3)
| ~ v1_funct_2(sK6,X2,X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_13000,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(k2_waybel34(X1,X0,sK6),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK6,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK6,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_13002,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(k2_waybel34(X1,X0,sK5),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK5,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK5,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_13041,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k2_waybel34(X1,X0,sK6),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK6,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK6,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_13043,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k2_waybel34(X1,X0,sK5),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK5)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ m1_relset_1(sK5,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK5,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(instantiation,[status(thm)],[c_174]) ).
tcf(c_13106,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK3)
| v3_struct_0(sK4)
| v3_struct_0(X1)
| v18_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(sK3),u1_struct_0(sK4),X0,sK6),X1,sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK6,sK3,sK4)
| ~ v18_waybel_0(X0,X1,sK3)
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK3))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_13453,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v18_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),sK2,sK4)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ v18_waybel_0(sK6,sK3,sK4)
| ~ v18_waybel_0(sK5,sK2,sK3)
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13106]) ).
tcf(c_13458,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK4),X0,sK6))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_12697]) ).
tcf(c_13476,plain,
( v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_12760]) ).
tcf(c_13477,plain,
( v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_12762]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK4),X0,sK6),X1,u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_12801]) ).
tcf(c_13482,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK4),X0,sK6),X1,u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_12839]) ).
tcf(c_13502,plain,
( v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_13000]) ).
tcf(c_13503,plain,
( v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13002]) ).
tcf(c_13512,plain,
( m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_13041]) ).
tcf(c_13532,plain,
( m2_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK3)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13043]) ).
tcf(c_16393,plain,
( v3_waybel_1(k1_waybel_1(sK4,sK3,k2_waybel34(sK4,sK3,sK6),sK6),sK4,sK3)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK3)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK3)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ v18_waybel_0(sK6,sK3,sK4)
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_513]) ).
tcf(c_16402,plain,
( v3_waybel_1(k1_waybel_1(sK3,sK2,k2_waybel34(sK3,sK2,sK5),sK5),sK3,sK2)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ v3_lattice3(sK3)
| ~ v3_lattice3(sK2)
| ~ v2_lattice3(sK3)
| ~ v2_lattice3(sK2)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v1_funct_1(sK5)
| ~ v18_waybel_0(sK5,sK2,sK3)
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_513]) ).
tcf(c_16487,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK2),X0,k2_waybel34(sK3,sK2,sK5)),X1,u1_struct_0(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_16488,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK2),X0,k2_waybel34(sK3,sK2,sK5)),X1,u1_struct_0(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_16489,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(sK3),u1_struct_0(sK2),X0,k2_waybel34(sK3,sK2,sK5)))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK3))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK3))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_16550,plain,
( m1_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_16587,plain,
( m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_16849,plain,
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13458]) ).
tcf(c_18633,plain,
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13478]) ).
tcf(c_18658,plain,
( v1_xboole_0(u1_struct_0(sK3))
| m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ m1_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m1_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_13482]) ).
tcf(c_30147,plain,
( ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) = k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) )
| ( k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) )
| ( k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) != k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) ) ),
inference(instantiation,[status(thm)],[c_12598]) ).
tcf(c_30148,plain,
k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),
inference(instantiation,[status(thm)],[c_9180]) ).
tcf(c_31791,plain,
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)))
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16489]) ).
tcf(c_31932,plain,
( v1_xboole_0(u1_struct_0(sK3))
| m2_relset_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16487]) ).
tcf(c_31953,plain,
( v1_xboole_0(u1_struct_0(sK3))
| v1_funct_2(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m1_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m1_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3)) ),
inference(instantiation,[status(thm)],[c_16488]) ).
tcf(c_73716,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK3)
| v3_struct_0(sK4)
| v3_struct_0(X0)
| v3_waybel_1(k1_waybel_1(sK4,X0,k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(X0),k2_waybel34(sK4,sK3,sK6),X1),k7_funct_2(u1_struct_0(X0),u1_struct_0(sK3),u1_struct_0(sK4),X2,sK6)),sK4,X0)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(sK3))
| ~ m2_relset_1(X1,u1_struct_0(sK3),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(sK3))
| ~ v1_funct_2(X1,u1_struct_0(sK3),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(sK3,X0,X1,X2),sK3,X0)
| ~ m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(sK4,sK3,k2_waybel34(sK4,sK3,sK6),sK6),sK4,sK3) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_74771,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v3_waybel_1(k1_waybel_1(sK4,sK2,k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),X0),k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)),sK4,sK2)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK3,sK2,X0,sK5),sK3,sK2)
| ~ m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(sK4,sK3,k2_waybel34(sK4,sK3,sK6),sK6),sK4,sK3) ),
inference(instantiation,[status(thm)],[c_73716]) ).
tcf(c_78746,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK4)
| v3_waybel_1(k1_waybel_1(sK4,sK2,k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)),sK4,sK2)
| ~ l1_orders_2(sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v4_orders_2(sK3)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK3)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK3)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(sK6)
| ~ v1_funct_1(sK5)
| ~ v1_funct_1(k2_waybel34(sK3,sK2,sK5))
| ~ v1_funct_1(k2_waybel34(sK4,sK3,sK6))
| ~ m2_relset_1(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ m2_relset_1(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK6,u1_struct_0(sK3),u1_struct_0(sK4))
| ~ v1_funct_2(sK5,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m2_relset_1(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ m2_relset_1(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v1_funct_2(k2_waybel34(sK3,sK2,sK5),u1_struct_0(sK3),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK4,sK3,sK6),u1_struct_0(sK4),u1_struct_0(sK3))
| ~ v3_waybel_1(k1_waybel_1(sK3,sK2,k2_waybel34(sK3,sK2,sK5),sK5),sK3,sK2)
| ~ v3_waybel_1(k1_waybel_1(sK4,sK3,k2_waybel34(sK4,sK3,sK6),sK6),sK4,sK3) ),
inference(instantiation,[status(thm)],[c_74771]) ).
tcf(c_81717,plain,
( ( k2_waybel34(sK4,sK2,k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)) = k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)) )
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK2)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK2)
| ~ v4_orders_2(sK2)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK2)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK2)
| ~ v2_orders_2(sK4)
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6))
| ~ v18_waybel_0(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),sK2,sK4)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6),u1_struct_0(sK2),u1_struct_0(sK4))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),u1_struct_0(sK4),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK4,sK2,k7_funct_2(u1_struct_0(sK4),u1_struct_0(sK3),u1_struct_0(sK2),k2_waybel34(sK4,sK3,sK6),k2_waybel34(sK3,sK2,sK5)),k7_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),u1_struct_0(sK4),sK5,sK6)),sK4,sK2) ),
inference(instantiation,[status(thm)],[c_511]) ).
tcf(c_81718,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_81717,c_78746,c_31953,c_31932,c_31791,c_30148,c_30147,c_18658,c_18633,c_16849,c_16587,c_16550,c_16402,c_16393,c_13532,c_13512,c_13503,c_13502,c_13477,c_13476,c_13453,c_12737,c_12739,c_12595,c_12594,c_49,c_384,c_383,c_51,c_53,c_55,c_57,c_327,c_52,c_56,c_50,c_54,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73,c_74,c_75,c_76,c_77,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT358+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:22:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 90.66/14.28 % SZS status Started for theBenchmark.p
% 90.66/14.28 % SZS status Theorem for theBenchmark.p
% 90.66/14.28
% 90.66/14.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 90.66/14.28
% 90.66/14.28 % ------ iProver source info
% 90.66/14.28
% 90.66/14.28 % git: date: 2026-07-19 20:42:38 +0200
% 90.66/14.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 90.66/14.28 % git: non_committed_changes: false
% 90.66/14.28
% 90.66/14.28 % ------ Parsing...
% 90.66/14.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 90.66/14.28
% 90.66/14.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 104 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e %
% 90.66/14.28
% 90.66/14.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 90.66/14.28
% 90.66/14.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 90.66/14.28 % ------ Proving...
% 90.66/14.28 % ------ Problem Properties
% 90.66/14.28
% 90.66/14.28 %
% 90.66/14.28 % clauses 134
% 90.66/14.28 % conjectures 30
% 90.66/14.28 % EPR 65
% 90.66/14.28 % Horn 100
% 90.66/14.28 % unary 64
% 90.66/14.28 % binary 17
% 90.66/14.28 % lits 576
% 90.66/14.28 % lits eq 7
% 90.66/14.28 % fd_pure 0
% 90.66/14.28 % fd_pseudo 0
% 90.66/14.28 % fd_cond 1
% 90.66/14.28 % fd_pseudo_cond 2
% 90.66/14.28 % AC symbols 0
% 90.66/14.28
% 90.66/14.28 % ------ Input Options Time Limit: Unbounded
% 90.66/14.28
% 90.66/14.28
% 90.66/14.28 % ------
% 90.66/14.28 % Current options:
% 90.66/14.28 % ------
% 90.66/14.28
% 90.66/14.28
% 90.66/14.28 %
% 90.66/14.28
% 90.66/14.28 % ------ Proving...
% 90.66/14.28 %
% 90.66/14.28
% 90.66/14.28 % SZS status Theorem for theBenchmark.p
% 90.66/14.28
% 90.66/14.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 83.18/14.30
% 83.18/14.30
%------------------------------------------------------------------------------