TSTP Solution File: LAT355+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT355+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:35:28 EDT 2024
% Result : Theorem 143.98s 19.61s
% Output : CNFRefutation 143.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1406)
% 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] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_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] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f23,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f33,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(f38,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f72,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(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ( v17_waybel_0(X2,X0,X1)
& v3_lattice3(X1)
& v3_lattice3(X0) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f73,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) )
=> ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f74,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> k3_waybel34(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f84,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(f86,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& l1_orders_2(X0) )
=> ( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_1(k3_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(f90,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f122,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0) )
=> ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f127,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0) )
=> ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f131,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0) )
=> ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f132,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& 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)
& 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) )
=> ( v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(f137,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0) )
=> ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f141,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_lattice3(X0) )
=> ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_yellow_7) ).
fof(f144,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(f188,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(f236,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& 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)
& 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) )
=> ( v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f132]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& 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)
& 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) )
=> ( v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f236]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& 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)
& 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) )
=> ( v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f248]) ).
fof(f257,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) != k2_waybel34(X1,X0,X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& 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) )
& 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) ),
inference(ennf_transformation,[],[f2]) ).
fof(f258,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) != k2_waybel34(X1,X0,X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& 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) )
& 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) ),
inference(flattening,[],[f257]) ).
fof(f286,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f287,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f286]) ).
fof(f302,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f303,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f302]) ).
fof(f310,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f311,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f310]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f371]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ 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) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f374,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k2_waybel34(X0,X1,X2) = X3
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ 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) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f373]) ).
fof(f375,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_waybel34(X0,X1,X2) = X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f376,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_waybel34(X0,X1,X2) = X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f375]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ( 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)) )
| ~ 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) ),
inference(ennf_transformation,[],[f84]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ( 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)) )
| ~ 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) ),
inference(flattening,[],[f381]) ).
fof(f383,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_1(k3_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f384,plain,
! [X0,X1,X2] :
( ( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_funct_1(k3_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f383]) ).
fof(f387,plain,
! [X0] :
( ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f420,plain,
! [X0] :
( ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f421,plain,
! [X0] :
( ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f420]) ).
fof(f427,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(ennf_transformation,[],[f127]) ).
fof(f428,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(flattening,[],[f427]) ).
fof(f435,plain,
! [X0] :
( ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f436,plain,
! [X0] :
( ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(flattening,[],[f435]) ).
fof(f437,plain,
! [X0,X1,X2] :
( ( v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| ~ 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) ),
inference(ennf_transformation,[],[f252]) ).
fof(f438,plain,
! [X0,X1,X2] :
( ( v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_relat_1(k3_waybel34(X0,X1,X2)) )
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| ~ 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) ),
inference(flattening,[],[f437]) ).
fof(f447,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f448,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(flattening,[],[f447]) ).
fof(f453,plain,
! [X0] :
( ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f454,plain,
! [X0] :
( ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(flattening,[],[f453]) ).
fof(f458,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f144]) ).
fof(f459,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f458]) ).
fof(f533,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) != k2_waybel34(X1,X0,X2)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
& 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) )
& 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] :
( ? [X2] :
( k1_waybel34(k7_lattice3(sK12),k7_lattice3(X1),k3_waybel34(sK12,X1,X2)) != k2_waybel34(X1,sK12,X2)
& m2_relset_1(X2,u1_struct_0(sK12),u1_struct_0(X1))
& v18_waybel_0(X2,sK12,X1)
& v1_funct_2(X2,u1_struct_0(sK12),u1_struct_0(X1))
& v1_funct_1(X2) )
& 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) )
& l1_orders_2(sK12)
& v3_lattice3(sK12)
& v2_lattice3(sK12)
& v1_lattice3(sK12)
& v4_orders_2(sK12)
& v3_orders_2(sK12)
& v2_orders_2(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f534,plain,
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(sK12),k7_lattice3(X1),k3_waybel34(sK12,X1,X2)) != k2_waybel34(X1,sK12,X2)
& m2_relset_1(X2,u1_struct_0(sK12),u1_struct_0(X1))
& v18_waybel_0(X2,sK12,X1)
& v1_funct_2(X2,u1_struct_0(sK12),u1_struct_0(X1))
& v1_funct_1(X2) )
& 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] :
( k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,X2)) != k2_waybel34(sK13,sK12,X2)
& m2_relset_1(X2,u1_struct_0(sK12),u1_struct_0(sK13))
& v18_waybel_0(X2,sK12,sK13)
& v1_funct_2(X2,u1_struct_0(sK12),u1_struct_0(sK13))
& v1_funct_1(X2) )
& l1_orders_2(sK13)
& v3_lattice3(sK13)
& v2_lattice3(sK13)
& v1_lattice3(sK13)
& v4_orders_2(sK13)
& v3_orders_2(sK13)
& v2_orders_2(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f535,plain,
( ? [X2] :
( k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,X2)) != k2_waybel34(sK13,sK12,X2)
& m2_relset_1(X2,u1_struct_0(sK12),u1_struct_0(sK13))
& v18_waybel_0(X2,sK12,sK13)
& v1_funct_2(X2,u1_struct_0(sK12),u1_struct_0(sK13))
& v1_funct_1(X2) )
=> ( k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,sK14)) != k2_waybel34(sK13,sK12,sK14)
& m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
& v18_waybel_0(sK14,sK12,sK13)
& v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
& v1_funct_1(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f536,plain,
( k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,sK14)) != k2_waybel34(sK13,sK12,sK14)
& m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
& v18_waybel_0(sK14,sK12,sK13)
& v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
& v1_funct_1(sK14)
& l1_orders_2(sK13)
& v3_lattice3(sK13)
& v2_lattice3(sK13)
& v1_lattice3(sK13)
& v4_orders_2(sK13)
& v3_orders_2(sK13)
& v2_orders_2(sK13)
& l1_orders_2(sK12)
& v3_lattice3(sK12)
& v2_lattice3(sK12)
& v1_lattice3(sK12)
& v4_orders_2(sK12)
& v3_orders_2(sK12)
& v2_orders_2(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f258,f535,f534,f533]) ).
fof(f547,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(nnf_transformation,[],[f372]) ).
fof(f548,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [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)
| k2_waybel34(X0,X1,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) )
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(nnf_transformation,[],[f374]) ).
fof(f625,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,[],[f188]) ).
fof(f627,plain,
v2_orders_2(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f628,plain,
v3_orders_2(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f629,plain,
v4_orders_2(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f630,plain,
v1_lattice3(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f631,plain,
v2_lattice3(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f632,plain,
v3_lattice3(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f633,plain,
l1_orders_2(sK12),
inference(cnf_transformation,[],[f536]) ).
fof(f634,plain,
v2_orders_2(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f635,plain,
v3_orders_2(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f636,plain,
v4_orders_2(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f637,plain,
v1_lattice3(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f638,plain,
v2_lattice3(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f639,plain,
v3_lattice3(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f640,plain,
l1_orders_2(sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f641,plain,
v1_funct_1(sK14),
inference(cnf_transformation,[],[f536]) ).
fof(f642,plain,
v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13)),
inference(cnf_transformation,[],[f536]) ).
fof(f643,plain,
v18_waybel_0(sK14,sK12,sK13),
inference(cnf_transformation,[],[f536]) ).
fof(f644,plain,
m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13)),
inference(cnf_transformation,[],[f536]) ).
fof(f645,plain,
k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,sK14)) != k2_waybel34(sK13,sK12,sK14),
inference(cnf_transformation,[],[f536]) ).
fof(f717,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f746,plain,
! [X0] :
( v1_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f747,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f770,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f933,plain,
! [X2,X3,X0,X1] :
( k1_waybel34(X0,X1,X2) = X3
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f547]) ).
fof(f934,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,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)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f548]) ).
fof(f936,plain,
! [X2,X0,X1] :
( k3_waybel34(X0,X1,X2) = X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f944,plain,
! [X2,X0,X1] :
( v1_funct_1(k2_waybel34(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) ),
inference(cnf_transformation,[],[f382]) ).
fof(f945,plain,
! [X2,X0,X1] :
( v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(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) ),
inference(cnf_transformation,[],[f382]) ).
fof(f946,plain,
! [X2,X0,X1] :
( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(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) ),
inference(cnf_transformation,[],[f382]) ).
fof(f948,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f384]) ).
fof(f949,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f384]) ).
fof(f953,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f387]) ).
fof(f1039,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f421]) ).
fof(f1058,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f428]) ).
fof(f1071,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f436]) ).
fof(f1076,plain,
! [X2,X0,X1] :
( v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1091,plain,
! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f448]) ).
fof(f1106,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f454]) ).
fof(f1114,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f459]) ).
fof(f1385,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f625]) ).
fof(f1400,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ 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))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(equality_resolution,[],[f934]) ).
cnf(c_49,negated_conjecture,
k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),k3_waybel34(sK12,sK13,sK14)) != k2_waybel34(sK13,sK12,sK14),
inference(cnf_transformation,[],[f645]) ).
cnf(c_50,negated_conjecture,
m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13)),
inference(cnf_transformation,[],[f644]) ).
cnf(c_51,negated_conjecture,
v18_waybel_0(sK14,sK12,sK13),
inference(cnf_transformation,[],[f643]) ).
cnf(c_52,negated_conjecture,
v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13)),
inference(cnf_transformation,[],[f642]) ).
cnf(c_53,negated_conjecture,
v1_funct_1(sK14),
inference(cnf_transformation,[],[f641]) ).
cnf(c_54,negated_conjecture,
l1_orders_2(sK13),
inference(cnf_transformation,[],[f640]) ).
cnf(c_55,negated_conjecture,
v3_lattice3(sK13),
inference(cnf_transformation,[],[f639]) ).
cnf(c_56,negated_conjecture,
v2_lattice3(sK13),
inference(cnf_transformation,[],[f638]) ).
cnf(c_57,negated_conjecture,
v1_lattice3(sK13),
inference(cnf_transformation,[],[f637]) ).
cnf(c_58,negated_conjecture,
v4_orders_2(sK13),
inference(cnf_transformation,[],[f636]) ).
cnf(c_59,negated_conjecture,
v3_orders_2(sK13),
inference(cnf_transformation,[],[f635]) ).
cnf(c_60,negated_conjecture,
v2_orders_2(sK13),
inference(cnf_transformation,[],[f634]) ).
cnf(c_61,negated_conjecture,
l1_orders_2(sK12),
inference(cnf_transformation,[],[f633]) ).
cnf(c_62,negated_conjecture,
v3_lattice3(sK12),
inference(cnf_transformation,[],[f632]) ).
cnf(c_63,negated_conjecture,
v2_lattice3(sK12),
inference(cnf_transformation,[],[f631]) ).
cnf(c_64,negated_conjecture,
v1_lattice3(sK12),
inference(cnf_transformation,[],[f630]) ).
cnf(c_65,negated_conjecture,
v4_orders_2(sK12),
inference(cnf_transformation,[],[f629]) ).
cnf(c_66,negated_conjecture,
v3_orders_2(sK12),
inference(cnf_transformation,[],[f628]) ).
cnf(c_67,negated_conjecture,
v2_orders_2(sK12),
inference(cnf_transformation,[],[f627]) ).
cnf(c_128,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f717]) ).
cnf(c_149,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f747]) ).
cnf(c_150,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v1_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f746]) ).
cnf(c_171,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f770]) ).
cnf(c_289,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f933]) ).
cnf(c_292,plain,
( ~ 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))
| ~ 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(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(cnf_transformation,[],[f1400]) ).
cnf(c_293,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| k3_waybel34(X1,X2,X0) = X0 ),
inference(cnf_transformation,[],[f936]) ).
cnf(c_300,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| m2_relset_1(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f946]) ).
cnf(c_301,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_2(k2_waybel34(X2,X1,X0),u1_struct_0(X2),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f945]) ).
cnf(c_302,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v1_funct_1(k2_waybel34(X2,X1,X0)) ),
inference(cnf_transformation,[],[f944]) ).
cnf(c_303,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| m2_relset_1(k3_waybel34(X1,X2,X0),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ),
inference(cnf_transformation,[],[f949]) ).
cnf(c_304,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| v1_funct_2(k3_waybel34(X1,X2,X0),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ),
inference(cnf_transformation,[],[f948]) ).
cnf(c_308,plain,
( ~ l1_orders_2(X0)
| l1_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f953]) ).
cnf(c_394,plain,
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v2_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f1039]) ).
cnf(c_413,plain,
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| v3_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f1058]) ).
cnf(c_426,plain,
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v4_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f1071]) ).
cnf(c_430,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v18_waybel_0(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2)
| v17_waybel_0(k3_waybel34(X1,X2,X0),k7_lattice3(X1),k7_lattice3(X2)) ),
inference(cnf_transformation,[],[f1076]) ).
cnf(c_449,plain,
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f1091]) ).
cnf(c_460,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| v2_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f1106]) ).
cnf(c_469,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_lattice3(k7_lattice3(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f1114]) ).
cnf(c_742,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f1385]) ).
cnf(c_748,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(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))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X3,X2),k7_lattice3(X1),k7_lattice3(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f1406]) ).
cnf(c_1175,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,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))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(global_subsumption_just,[status(thm)],[c_289,c_128,c_149,c_289]) ).
cnf(c_1176,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(renaming,[status(thm)],[c_1175]) ).
cnf(c_1177,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_292,c_128,c_149,c_292]) ).
cnf(c_1178,plain,
( ~ 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))
| ~ 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(k2_waybel34(X0,X1,X2))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1) ),
inference(renaming,[status(thm)],[c_1177]) ).
cnf(c_1300,plain,
X0 = X0,
theory(equality) ).
cnf(c_1302,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1308,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m2_relset_1(X1,X3,X5)
| m2_relset_1(X0,X2,X4) ),
theory(equality) ).
cnf(c_1310,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ v1_funct_2(X1,X3,X5)
| v1_funct_2(X0,X2,X4) ),
theory(equality) ).
cnf(c_1399,plain,
( ~ m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13)) ),
inference(instantiation,[status(thm)],[c_742]) ).
cnf(c_1532,plain,
( ~ m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| k3_waybel34(sK12,sK13,sK14) = sK14 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_1654,plain,
( ~ v1_funct_2(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(sK14)
| v1_funct_1(k2_waybel34(X1,X0,sK14)) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_1744,plain,
( ~ v1_funct_2(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(sK14)
| m2_relset_1(k2_waybel34(X1,X0,sK14),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_1768,plain,
( ~ v1_funct_2(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(sK14,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v1_funct_1(sK14)
| v1_funct_2(k2_waybel34(X1,X0,sK14),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(instantiation,[status(thm)],[c_301]) ).
cnf(c_2126,plain,
( ~ v1_lattice3(sK13)
| ~ v3_struct_0(sK13) ),
inference(superposition,[status(thm)],[c_54,c_128]) ).
cnf(c_2127,plain,
( ~ v1_lattice3(sK12)
| ~ v3_struct_0(sK12) ),
inference(superposition,[status(thm)],[c_61,c_128]) ).
cnf(c_2172,plain,
( ~ m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| k3_waybel34(sK12,sK13,sK14) = sK14 ),
inference(superposition,[status(thm)],[c_52,c_293]) ).
cnf(c_2173,plain,
k3_waybel34(sK12,sK13,sK14) = sK14,
inference(global_subsumption_just,[status(thm)],[c_2172,c_61,c_54,c_53,c_52,c_50,c_1532]) ).
cnf(c_2186,plain,
( k2_waybel34(sK13,sK12,sK14) != X0
| X1 != X0
| k2_waybel34(sK13,sK12,sK14) = X1 ),
inference(instantiation,[status(thm)],[c_1302]) ).
cnf(c_2242,plain,
k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),sK14) != k2_waybel34(sK13,sK12,sK14),
inference(superposition,[status(thm)],[c_2173,c_49]) ).
cnf(c_2258,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v2_lattice3(sK12)
| ~ v2_lattice3(sK13)
| ~ v1_lattice3(sK12)
| ~ v1_lattice3(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| v1_funct_1(k2_waybel34(sK13,sK12,sK14)) ),
inference(instantiation,[status(thm)],[c_1654]) ).
cnf(c_2263,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v2_lattice3(sK12)
| ~ v2_lattice3(sK13)
| ~ v1_lattice3(sK12)
| ~ v1_lattice3(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12)) ),
inference(instantiation,[status(thm)],[c_1744]) ).
cnf(c_2301,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v2_lattice3(sK12)
| ~ v2_lattice3(sK13)
| ~ v1_lattice3(sK12)
| ~ v1_lattice3(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12)) ),
inference(instantiation,[status(thm)],[c_1768]) ).
cnf(c_3357,plain,
u1_struct_0(X0) = u1_struct_0(X0),
inference(instantiation,[status(thm)],[c_1300]) ).
cnf(c_3879,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| m2_relset_1(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13))) ),
inference(superposition,[status(thm)],[c_2173,c_303]) ).
cnf(c_3890,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| v1_funct_2(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13))) ),
inference(superposition,[status(thm)],[c_2173,c_304]) ).
cnf(c_4765,plain,
( ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ v18_waybel_0(sK14,sK12,sK13)
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v3_lattice3(sK12)
| ~ v3_lattice3(sK13)
| ~ v2_lattice3(sK12)
| ~ v1_lattice3(sK12)
| ~ v1_lattice3(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| v3_waybel_1(k1_waybel_1(sK13,sK12,k2_waybel34(sK13,sK12,sK14),sK14),sK13,sK12) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_4786,plain,
( ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)) = k2_waybel34(sK13,sK12,sK14) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_4787,plain,
( ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| m1_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12)) ),
inference(instantiation,[status(thm)],[c_742]) ).
cnf(c_4799,plain,
( ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ m1_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| v1_funct_2(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_304]) ).
cnf(c_4800,plain,
( ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ m1_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| m2_relset_1(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_303]) ).
cnf(c_5182,plain,
( k2_waybel34(sK13,sK12,sK14) != k2_waybel34(sK13,sK12,sK14)
| X0 != k2_waybel34(sK13,sK12,sK14)
| k2_waybel34(sK13,sK12,sK14) = X0 ),
inference(instantiation,[status(thm)],[c_2186]) ).
cnf(c_5183,plain,
k2_waybel34(sK13,sK12,sK14) = k2_waybel34(sK13,sK12,sK14),
inference(instantiation,[status(thm)],[c_1300]) ).
cnf(c_9158,plain,
( ~ l1_orders_2(sK13)
| l1_orders_2(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_308]) ).
cnf(c_9220,plain,
( ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| ~ v3_waybel_1(k1_waybel_1(sK13,sK12,k2_waybel34(sK13,sK12,sK14),sK14),sK13,sK12)
| ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(sK13),u1_struct_0(sK12))
| ~ m2_relset_1(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13)))
| ~ v1_funct_2(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13)))
| ~ m2_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| v3_waybel_1(k1_waybel_1(k7_lattice3(sK12),k7_lattice3(sK13),sK14,k2_waybel34(sK13,sK12,sK14)),k7_lattice3(sK12),k7_lattice3(sK13))
| v3_struct_0(sK12)
| v3_struct_0(sK13) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_9638,plain,
u1_struct_0(k7_lattice3(sK13)) = u1_struct_0(k7_lattice3(sK13)),
inference(instantiation,[status(thm)],[c_3357]) ).
cnf(c_10218,plain,
( k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)) != k2_waybel34(sK13,sK12,sK14)
| k2_waybel34(sK13,sK12,sK14) != k2_waybel34(sK13,sK12,sK14)
| k2_waybel34(sK13,sK12,sK14) = k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)) ),
inference(instantiation,[status(thm)],[c_5182]) ).
cnf(c_17211,plain,
( ~ l1_orders_2(sK12)
| l1_orders_2(k7_lattice3(sK12)) ),
inference(instantiation,[status(thm)],[c_308]) ).
cnf(c_18441,plain,
( ~ v1_funct_2(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ m1_relset_1(sK14,u1_struct_0(sK12),u1_struct_0(sK13))
| ~ v18_waybel_0(sK14,sK12,sK13)
| ~ v1_funct_1(sK14)
| ~ l1_orders_2(sK12)
| ~ l1_orders_2(sK13)
| ~ v3_lattice3(sK12)
| ~ v3_lattice3(sK13)
| ~ v2_lattice3(sK12)
| ~ v2_lattice3(sK13)
| ~ v1_lattice3(sK12)
| ~ v1_lattice3(sK13)
| ~ v4_orders_2(sK12)
| ~ v4_orders_2(sK13)
| ~ v3_orders_2(sK12)
| ~ v3_orders_2(sK13)
| ~ v2_orders_2(sK12)
| ~ v2_orders_2(sK13)
| v17_waybel_0(sK14,k7_lattice3(sK12),k7_lattice3(sK13)) ),
inference(superposition,[status(thm)],[c_2173,c_430]) ).
cnf(c_20019,plain,
u1_struct_0(k7_lattice3(sK12)) = u1_struct_0(k7_lattice3(sK12)),
inference(instantiation,[status(thm)],[c_3357]) ).
cnf(c_21563,plain,
( ~ l1_orders_2(sK13)
| ~ v2_orders_2(sK13)
| v2_orders_2(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_21571,plain,
( ~ l1_orders_2(sK13)
| ~ v3_lattice3(sK13)
| v3_lattice3(k7_lattice3(sK13))
| v3_struct_0(sK13) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_25939,plain,
( ~ l1_orders_2(sK12)
| ~ v2_orders_2(sK12)
| v2_orders_2(k7_lattice3(sK12)) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_27177,plain,
( ~ l1_orders_2(sK13)
| ~ v3_orders_2(sK13)
| v3_orders_2(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_27400,plain,
( ~ l1_orders_2(sK12)
| ~ v3_lattice3(sK12)
| v3_lattice3(k7_lattice3(sK12))
| v3_struct_0(sK12) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_29257,plain,
( ~ l1_orders_2(sK12)
| ~ v3_orders_2(sK12)
| v3_orders_2(k7_lattice3(sK12)) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_32649,plain,
( ~ l1_orders_2(sK13)
| ~ v4_orders_2(sK13)
| v4_orders_2(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_39310,plain,
( ~ l1_orders_2(sK12)
| ~ v4_orders_2(sK12)
| v4_orders_2(k7_lattice3(sK12)) ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_40609,plain,
( ~ l1_orders_2(sK13)
| ~ v1_lattice3(sK13)
| v2_lattice3(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_40923,plain,
( ~ l1_orders_2(k7_lattice3(sK13))
| ~ v2_lattice3(k7_lattice3(sK13))
| ~ v3_struct_0(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_43696,plain,
( ~ v3_struct_0(k7_lattice3(sK12))
| ~ l1_orders_2(sK12)
| ~ v2_lattice3(sK12) ),
inference(instantiation,[status(thm)],[c_449]) ).
cnf(c_49138,plain,
( ~ l1_orders_2(k7_lattice3(sK13))
| ~ v3_lattice3(k7_lattice3(sK13))
| v1_lattice3(k7_lattice3(sK13))
| v3_struct_0(k7_lattice3(sK13)) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_50424,plain,
( ~ l1_orders_2(k7_lattice3(sK12))
| ~ v3_lattice3(k7_lattice3(sK12))
| v1_lattice3(k7_lattice3(sK12))
| v3_struct_0(k7_lattice3(sK12)) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_89443,plain,
( X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| X1 != u1_struct_0(k7_lattice3(sK13))
| X2 != u1_struct_0(k7_lattice3(sK12))
| ~ v1_funct_2(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| v1_funct_2(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_89447,plain,
( X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| X1 != u1_struct_0(k7_lattice3(sK13))
| X2 != u1_struct_0(k7_lattice3(sK12))
| ~ m2_relset_1(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| m2_relset_1(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1308]) ).
cnf(c_99781,plain,
( u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| X1 != u1_struct_0(k7_lattice3(sK13))
| ~ m2_relset_1(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| m2_relset_1(X0,X1,u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_89447]) ).
cnf(c_99782,plain,
( u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| X1 != u1_struct_0(k7_lattice3(sK13))
| ~ v1_funct_2(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| v1_funct_2(X0,X1,u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_89443]) ).
cnf(c_108726,plain,
( u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| u1_struct_0(k7_lattice3(sK13)) != u1_struct_0(k7_lattice3(sK13))
| X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| ~ m2_relset_1(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| m2_relset_1(X0,u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_99781]) ).
cnf(c_108745,plain,
( u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| u1_struct_0(k7_lattice3(sK13)) != u1_struct_0(k7_lattice3(sK13))
| X0 != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| ~ v1_funct_2(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| v1_funct_2(X0,u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_99782]) ).
cnf(c_157524,plain,
( k2_waybel34(sK13,sK12,sK14) != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| u1_struct_0(k7_lattice3(sK13)) != u1_struct_0(k7_lattice3(sK13))
| ~ m2_relset_1(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_108726]) ).
cnf(c_157548,plain,
( k2_waybel34(sK13,sK12,sK14) != k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14))
| u1_struct_0(k7_lattice3(sK12)) != u1_struct_0(k7_lattice3(sK12))
| u1_struct_0(k7_lattice3(sK13)) != u1_struct_0(k7_lattice3(sK13))
| ~ v1_funct_2(k3_waybel34(sK13,sK12,k2_waybel34(sK13,sK12,sK14)),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12))) ),
inference(instantiation,[status(thm)],[c_108745]) ).
cnf(c_161329,plain,
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK12),k7_lattice3(sK13),sK14,k2_waybel34(sK13,sK12,sK14)),k7_lattice3(sK12),k7_lattice3(sK13))
| ~ m2_relset_1(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| ~ v1_funct_2(k2_waybel34(sK13,sK12,sK14),u1_struct_0(k7_lattice3(sK13)),u1_struct_0(k7_lattice3(sK12)))
| ~ m2_relset_1(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13)))
| ~ v1_funct_2(sK14,u1_struct_0(k7_lattice3(sK12)),u1_struct_0(k7_lattice3(sK13)))
| ~ v17_waybel_0(sK14,k7_lattice3(sK12),k7_lattice3(sK13))
| ~ v1_funct_1(k2_waybel34(sK13,sK12,sK14))
| ~ l1_orders_2(k7_lattice3(sK12))
| ~ l1_orders_2(k7_lattice3(sK13))
| ~ v3_lattice3(k7_lattice3(sK12))
| ~ v3_lattice3(k7_lattice3(sK13))
| ~ v2_lattice3(k7_lattice3(sK13))
| ~ v1_lattice3(k7_lattice3(sK12))
| ~ v1_lattice3(k7_lattice3(sK13))
| ~ v4_orders_2(k7_lattice3(sK12))
| ~ v4_orders_2(k7_lattice3(sK13))
| ~ v3_orders_2(k7_lattice3(sK12))
| ~ v3_orders_2(k7_lattice3(sK13))
| ~ v2_orders_2(k7_lattice3(sK12))
| ~ v2_orders_2(k7_lattice3(sK13))
| ~ v1_funct_1(sK14)
| k1_waybel34(k7_lattice3(sK12),k7_lattice3(sK13),sK14) = k2_waybel34(sK13,sK12,sK14) ),
inference(instantiation,[status(thm)],[c_1176]) ).
cnf(c_161331,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_161329,c_157548,c_157524,c_50424,c_49138,c_43696,c_40923,c_40609,c_39310,c_32649,c_29257,c_27400,c_27177,c_25939,c_21571,c_21563,c_20019,c_18441,c_17211,c_10218,c_9638,c_9220,c_9158,c_5183,c_4799,c_4800,c_4787,c_4786,c_4765,c_3890,c_3879,c_2301,c_2263,c_2258,c_2242,c_2126,c_2127,c_1399,c_50,c_52,c_51,c_53,c_54,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : LAT355+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.08 % Command : run_iprover %s %d THM
% 0.08/0.27 % Computer : n023.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu May 2 18:25:09 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.11/0.36 Running first-order theorem proving
% 0.11/0.36 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 143.98/19.61 % SZS status Started for theBenchmark.p
% 143.98/19.61 % SZS status Theorem for theBenchmark.p
% 143.98/19.61
% 143.98/19.61 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 143.98/19.61
% 143.98/19.61 ------ iProver source info
% 143.98/19.61
% 143.98/19.61 git: date: 2024-05-02 19:28:25 +0000
% 143.98/19.61 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 143.98/19.61 git: non_committed_changes: false
% 143.98/19.61
% 143.98/19.61 ------ Parsing...
% 143.98/19.61 ------ Clausification by vclausify_rel & Parsing by iProver...
% 143.98/19.61
% 143.98/19.61 ------ Preprocessing... sf_s rm: 103 0s sf_e sf_s rm: 8 0s sf_e
% 143.98/19.61
% 143.98/19.61 ------ Preprocessing...
% 143.98/19.61
% 143.98/19.61 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 143.98/19.61 ------ Proving...
% 143.98/19.61 ------ Problem Properties
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61 clauses 558
% 143.98/19.61 conjectures 19
% 143.98/19.61 EPR 388
% 143.98/19.61 Horn 471
% 143.98/19.61 unary 222
% 143.98/19.61 binary 164
% 143.98/19.61 lits 1920
% 143.98/19.61 lits eq 17
% 143.98/19.61 fd_pure 0
% 143.98/19.61 fd_pseudo 0
% 143.98/19.61 fd_cond 1
% 143.98/19.61 fd_pseudo_cond 5
% 143.98/19.61 AC symbols 0
% 143.98/19.61
% 143.98/19.61 ------ Input Options Time Limit: Unbounded
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61 ------
% 143.98/19.61 Current options:
% 143.98/19.61 ------
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61 ------ Proving...
% 143.98/19.61
% 143.98/19.61
% 143.98/19.61 % SZS status Theorem for theBenchmark.p
% 143.98/19.61
% 143.98/19.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 143.98/19.61
% 143.98/19.62
%------------------------------------------------------------------------------