%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:48:36 AM UTC 2026
% Result : Theorem 0.18s 10.74s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 110 ( 16 unt; 2 def)
% Number of atoms : 816 ( 52 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 1087 ( 381 ~; 459 |; 212 &)
% ( 8 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 105 ( 0 sgn 103 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
& k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ( k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
& k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0) ) ),
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(f29,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( ~ v3_struct_0(X0)
& v3_lattice3(X0) )
=> ( ~ v3_struct_0(X0)
& v1_lattice3(X0)
& v2_lattice3(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f49,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v17_waybel_0(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f50,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v18_waybel_0(X2,X1,X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X3 = 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(f61,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f62,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f89,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v23_waybel_0(k7_grcat_1(X0),X0,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v20_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(f129,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
fof(f143,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f93]) ).
fof(f146,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f143]) ).
fof(f155,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f170,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v11_quantal1(k7_grcat_1(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f155]) ).
fof(f173,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_partfun1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f170]) ).
fof(f188,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) ) ),
inference(pure_predicate_removal,[],[f173]) ).
fof(f193,plain,
? [X0] :
( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0)) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f194,plain,
? [X0] :
( ( k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0)) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f193]) ).
fof(f218,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f219,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f218]) ).
fof(f232,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_lattice3(X0)
& v2_lattice3(X0) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f233,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_lattice3(X0)
& v2_lattice3(X0) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f232]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f267]) ).
fof(f273,plain,
! [X0] :
( ( v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f274,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f297,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v23_waybel_0(k7_grcat_1(X0),X0,X0) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f303,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f188]) ).
fof(f304,plain,
! [X0] :
( ( v1_relat_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v8_waybel_1(k7_grcat_1(X0),X0) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f303]) ).
fof(f344,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f345,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f344]) ).
fof(f348,plain,
( k7_grcat_1(sK0) != k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| k7_grcat_1(sK0) != k1_waybel34(sK0,sK0,k7_grcat_1(sK0)) ),
inference(cnf_transformation,[],[f194]) ).
fof(f349,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f350,plain,
v3_lattice3(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f352,plain,
v1_lattice3(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f353,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f354,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f355,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f194]) ).
fof(f398,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f407,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v2_lattice3(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f408,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f440,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(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)
| ~ 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)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f266]) ).
fof(f442,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,[],[f268]) ).
fof(f451,plain,
! [X0] :
( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f454,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f508,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f297]) ).
fof(f509,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v1_funct_1(k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f297]) ).
fof(f528,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v18_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f529,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f665,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f671,plain,
~ v3_orders_2(sK0),
inference(consistent_polarity_flipping,[],[f354]) ).
fof(f673,plain,
~ l1_orders_2(sK0),
inference(consistent_polarity_flipping,[],[f349]) ).
fof(f710,plain,
! [X0] :
( ~ v1_lattice3(X0)
| l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(consistent_polarity_flipping,[],[f398]) ).
fof(f718,plain,
! [X0] :
( ~ v3_lattice3(X0)
| l1_orders_2(X0)
| ~ v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(consistent_polarity_flipping,[],[f408]) ).
fof(f719,plain,
! [X0] :
( ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f407]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| 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(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)
| ~ 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)
| l1_orders_2(X0)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(consistent_polarity_flipping,[],[f440]) ).
fof(f752,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| 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)
| l1_orders_2(X0)
| k2_waybel34(X0,X1,X2) = X3 ),
inference(consistent_polarity_flipping,[],[f442]) ).
fof(f760,plain,
! [X0] :
( l1_struct_0(X0)
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f454]) ).
fof(f799,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f509]) ).
fof(f800,plain,
! [X0] :
( ~ v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f508]) ).
fof(f814,plain,
! [X0] :
( v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f529]) ).
fof(f815,plain,
! [X0] :
( v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f528]) ).
fof(f917,plain,
! [X0] :
( ~ v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f665]) ).
fof(f919,definition,
( spl26_1
<=> k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f923,definition,
( spl26_2
<=> k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f925,plain,
( k7_grcat_1(sK0) != k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| spl26_2 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f926,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f348,f923,f919]) ).
fof(f960,plain,
( l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f710,f352]) ).
fof(f962,plain,
v3_struct_0(sK0),
inference(forward_subsumption_resolution,[],[f960,f673]) ).
fof(f1680,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| 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(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| l1_orders_2(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(resolution,[],[f750,f917]) ).
fof(f1681,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1682,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1681,f814]) ).
fof(f1683,plain,
! [X0] :
( ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1682,f719]) ).
fof(f1684,plain,
! [X0] :
( ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1683,f718]) ).
fof(f1685,plain,
! [X0] :
( ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1684,f800]) ).
fof(f1686,plain,
! [X0] :
( ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1685,f799]) ).
fof(f1687,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| 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(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| l1_orders_2(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0)
| l1_orders_2(X0) ),
inference(resolution,[],[f752,f917]) ).
fof(f1688,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f1687]) ).
fof(f1689,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1688,f815]) ).
fof(f1690,plain,
! [X0] :
( ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1689,f719]) ).
fof(f1691,plain,
! [X0] :
( ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1690,f718]) ).
fof(f1692,plain,
! [X0] :
( ~ v4_orders_2(X0)
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(k7_grcat_1(X0))
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1691,f800]) ).
fof(f1693,plain,
! [X0] :
( ~ m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f1692,f799]) ).
fof(f2231,plain,
! [X0] :
( v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f1686,f451]) ).
fof(f2233,plain,
! [X0] :
( ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f2231,f760]) ).
fof(f2234,plain,
! [X0] :
( v3_orders_2(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_lattice3(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f1693,f451]) ).
fof(f2236,plain,
! [X0] :
( ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v3_orders_2(X0)
| k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
| ~ v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f2234,f760]) ).
fof(f5301,plain,
( ~ v2_orders_2(sK0)
| l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(resolution,[],[f2233,f350]) ).
fof(f5304,plain,
( l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5301,f355]) ).
fof(f5306,plain,
( ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5304,f673]) ).
fof(f5308,plain,
( v3_orders_2(sK0)
| k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5306,f353]) ).
fof(f5310,plain,
( k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5308,f671]) ).
fof(f5315,plain,
k7_grcat_1(sK0) = k1_waybel34(sK0,sK0,k7_grcat_1(sK0)),
inference(forward_subsumption_resolution,[],[f5310,f962]) ).
fof(f5316,plain,
spl26_1,
inference(avatar_split_clause,[],[f5315,f919]) ).
fof(f5389,plain,
( ~ v2_orders_2(sK0)
| l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(resolution,[],[f2236,f350]) ).
fof(f5392,plain,
( l1_orders_2(sK0)
| ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5389,f355]) ).
fof(f5394,plain,
( ~ v4_orders_2(sK0)
| v3_orders_2(sK0)
| k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5392,f673]) ).
fof(f5396,plain,
( v3_orders_2(sK0)
| k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5394,f353]) ).
fof(f5398,plain,
( k7_grcat_1(sK0) = k2_waybel34(sK0,sK0,k7_grcat_1(sK0))
| ~ v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5396,f671]) ).
fof(f5400,plain,
( ~ v3_struct_0(sK0)
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f5398,f925]) ).
fof(f5401,plain,
( $false
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f5400,f962]) ).
fof(f5402,plain,
spl26_2,
inference(avatar_contradiction_clause,[],[f5401]) ).
cnf(s1,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(sat_conversion,[],[f926]) ).
cnf(s207,plain,
spl26_1,
inference(sat_conversion,[],[f5316]) ).
cnf(s213,plain,
spl26_2,
inference(sat_conversion,[],[f5402]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s1,s213,s207]) ).
fof(f5403,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/10.41 % Computer : n004.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.42 % CPULimit : 300
% 0.13/10.42 % WCLimit : 300
% 0.13/10.42 % DateTime : Sun Sep 27 14:58:18 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/10.48 Running first-order model finding
% 0.13/10.48 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/10.74 % (3626708)Will run a generic schedule for satisfiability detection.
% 0.18/10.74 % (3626714)% WARNING: option uhcvi not known.
% 0.18/10.74 % (3626713)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2366792275_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/10.74 % (3626717)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3997480283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/10.74 % (3626716)dis+10_1_sil=32000:sp=arity:random_seed=3757052487:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/10.74 % (3626715)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1714029191:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/10.74 % (3626714)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=172559792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/10.74 % (3626718)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1305763009:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/10.74 % (3626719)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1276793974:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/10.74 % TRYING [1]
% 0.18/10.74 % TRYING [2]
% 0.18/10.74 % TRYING [3]
% 0.18/10.74 % (3626716)Instruction limit reached!
% 0.18/10.74 % (3626716)------------------------------
% 0.18/10.74 % (3626716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/10.74 % (3626716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/10.74 % (3626716)CaDiCaL version: 2.1.3
% 0.18/10.74 % (3626716)Termination reason: Instruction limit
% 0.18/10.74 % (3626716)Termination phase: Saturation
% 0.18/10.74 % (3626716)Time elapsed: 0.090 s
% 0.18/10.74 % (3626716)Peak memory usage: 12 MB
% 0.18/10.74 % (3626716)Instructions burned: 103 (million)
% 0.18/10.74 % (3626717)Instruction limit reached!
% 0.18/10.74 % (3626717)------------------------------
% 0.18/10.74 % (3626717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/10.74 % (3626717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/10.74 % (3626717)CaDiCaL version: 2.1.3
% 0.18/10.74 % (3626717)Termination reason: Instruction limit
% 0.18/10.74 % (3626717)Termination phase: Saturation
% 0.18/10.74 % (3626717)Time elapsed: 0.109 s
% 0.18/10.74 % (3626717)Peak memory usage: 13 MB
% 0.18/10.74 % (3626717)Instructions burned: 117 (million)
% 0.18/10.74 % (3626718)Instruction limit reached!
% 0.18/10.74 % (3626718)------------------------------
% 0.18/10.74 % (3626718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/10.74 % (3626718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/10.74 % (3626718)CaDiCaL version: 2.1.3
% 0.18/10.74 % (3626718)Termination reason: Instruction limit
% 0.18/10.74 % (3626718)Termination phase: Saturation
% 0.18/10.74 % (3626718)Time elapsed: 0.117 s
% 0.18/10.74 % (3626718)Peak memory usage: 14 MB
% 0.18/10.74 % (3626718)Instructions burned: 131 (million)
% 0.18/10.74 % (3626727)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1848580169:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.18/10.74 % TRYING [1]
% 0.18/10.74 % TRYING [4]
% 0.18/10.74 % TRYING [2]
% 0.18/10.74 % (3626728)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2655457803:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.18/10.74 % TRYING [3]
% 0.18/10.74 % (3626730)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2762344317:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.18/10.74 % (3626719)Instruction limit reached!
% 0.18/10.74 % (3626719)------------------------------
% 0.18/10.74 % (3626719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/10.74 % (3626719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/10.74 % (3626719)CaDiCaL version: 2.1.3
% 0.18/10.74 % (3626719)Termination reason: Instruction limit
% 0.18/10.74 % (3626719)Termination phase: Saturation
% 0.18/10.74 % (3626719)Time elapsed: 0.163 s
% 0.18/10.74 % (3626719)Peak memory usage: 14 MB
% 0.18/10.74 % (3626719)Instructions burned: 159 (million)
% 0.18/10.74 % (3626714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3626708-3626714"...
% 0.18/10.74 % TRYING [4]
% 0.18/10.74 % (3626714)...printing done.
% 0.18/10.74 % (3626714)Refutation found. Thanks to Tanya!
% 0.18/10.74 % SZS status Theorem for theBenchmark
% 0.18/10.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/10.75 % (3626714)------------------------------
% 0.18/10.75 % (3626714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/10.75 % (3626714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/10.75 % (3626714)CaDiCaL version: 2.1.3
% 0.18/10.75 % (3626714)Termination reason: Refutation
% 0.18/10.75 % (3626714)Time elapsed: 0.192 s
% 0.18/10.75 % (3626714)Peak memory usage: 15 MB
% 0.18/10.75 % (3626714)Instructions burned: 195 (million)
% 0.18/10.75 % (3626708)Success in time 0.254 s
% 0.18/10.75 % Vampire exiting
%------------------------------------------------------------------------------