TSTP Solution File: LAT356+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:18:07 EDT 2023
% Result : Theorem 6.56s 1.67s
% Output : CNFRefutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 104 ( 15 unt; 0 def)
% Number of atoms : 835 ( 40 equ)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 1191 ( 460 ~; 436 |; 258 &)
% ( 6 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 124 ( 0 sgn; 84 !; 3 ?)
% 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) )
=> ( k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
& k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_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) )
=> ( k7_grcat_1(X0) = k2_waybel34(X0,X0,k7_grcat_1(X0))
& k7_grcat_1(X0) = k1_waybel34(X0,X0,k7_grcat_1(X0)) ) ),
inference(negated_conjecture,[],[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_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(f34,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f49,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(f50,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(f61,axiom,
! [X0] :
( l1_struct_0(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)) ) ),
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(f91,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v2_funct_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel10) ).
fof(f93,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v20_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v11_quantal1(k7_grcat_1(X0))
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(f129,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
fof(f143,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v11_quantal1(k7_grcat_1(X0))
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v2_funct_1(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f93]) ).
fof(f145,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v21_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v11_quantal1(k7_grcat_1(X0))
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f143]) ).
fof(f147,plain,
! [X0] :
( l1_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))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f91]) ).
fof(f154,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v5_orders_3(k7_grcat_1(X0),X0,X0)
& v11_quantal1(k7_grcat_1(X0))
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f145]) ).
fof(f160,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v11_quantal1(k7_grcat_1(X0))
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f154]) ).
fof(f171,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_partfun1(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_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f160]) ).
fof(f180,plain,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) ) ),
inference(pure_predicate_removal,[],[f171]) ).
fof(f193,plain,
? [X0] :
( ( k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(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) ),
inference(ennf_transformation,[],[f2]) ).
fof(f194,plain,
? [X0] :
( ( k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(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) ),
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] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f233,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,[],[f232]) ).
fof(f240,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f241,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f240]) ).
fof(f265,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,[],[f49]) ).
fof(f266,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,[],[f265]) ).
fof(f267,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,[],[f50]) ).
fof(f268,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,[],[f267]) ).
fof(f273,plain,
! [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_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f274,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f300,plain,
! [X0] :
( ( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f147]) ).
fof(f303,plain,
! [X0] :
( ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f180]) ).
fof(f304,plain,
! [X0] :
( ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(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)
| ~ l1_orders_2(X0)
| v3_struct_0(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)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f344]) ).
fof(f352,plain,
! [X0] :
( ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f353,plain,
! [X0] :
( sP2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f304,f352]) ).
fof(f356,plain,
( ? [X0] :
( ( k7_grcat_1(X0) != k2_waybel34(X0,X0,k7_grcat_1(X0))
| k7_grcat_1(X0) != k1_waybel34(X0,X0,k7_grcat_1(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) )
=> ( ( k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| k7_grcat_1(sK4) != k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) )
& l1_orders_2(sK4)
& v3_lattice3(sK4)
& v2_lattice3(sK4)
& v1_lattice3(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK4)
& v2_orders_2(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
( ( k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| k7_grcat_1(sK4) != k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) )
& l1_orders_2(sK4)
& v3_lattice3(sK4)
& v2_lattice3(sK4)
& v1_lattice3(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK4)
& v2_orders_2(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f194,f356]) ).
fof(f360,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,[],[f266]) ).
fof(f361,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,[],[f268]) ).
fof(f372,plain,
! [X0] :
( ( v8_waybel_1(k7_grcat_1(X0),X0)
& v7_waybel_1(k7_grcat_1(X0),X0)
& v6_waybel_1(k7_grcat_1(X0),X0)
& v23_waybel_0(k7_grcat_1(X0),X0,X0)
& v22_waybel_0(k7_grcat_1(X0),X0,X0)
& v19_waybel_0(k7_grcat_1(X0),X0,X0)
& v18_waybel_0(k7_grcat_1(X0),X0,X0)
& v17_waybel_0(k7_grcat_1(X0),X0,X0)
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& ~ v1_xboole_0(k7_grcat_1(X0))
& v1_funct_1(k7_grcat_1(X0))
& v1_relat_1(k7_grcat_1(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f352]) ).
fof(f415,plain,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f416,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f417,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f418,plain,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f419,plain,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f420,plain,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f421,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f357]) ).
fof(f422,plain,
( k7_grcat_1(sK4) != k2_waybel34(sK4,sK4,k7_grcat_1(sK4))
| k7_grcat_1(sK4) != k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) ),
inference(cnf_transformation,[],[f357]) ).
fof(f483,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f502,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f524,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f560,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,[],[f360]) ).
fof(f562,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f361]) ).
fof(f572,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(f573,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f633,plain,
! [X0] :
( v1_funct_1(k7_grcat_1(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f644,plain,
! [X0] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f645,plain,
! [X0] :
( v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f646,plain,
! [X0] :
( v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f653,plain,
! [X0] :
( sP2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f786,plain,
! [X0] :
( v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_49,negated_conjecture,
( k2_waybel34(sK4,sK4,k7_grcat_1(sK4)) != k7_grcat_1(sK4)
| k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) != k7_grcat_1(sK4) ),
inference(cnf_transformation,[],[f422]) ).
cnf(c_50,negated_conjecture,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f421]) ).
cnf(c_51,negated_conjecture,
v3_lattice3(sK4),
inference(cnf_transformation,[],[f420]) ).
cnf(c_52,negated_conjecture,
v2_lattice3(sK4),
inference(cnf_transformation,[],[f419]) ).
cnf(c_53,negated_conjecture,
v1_lattice3(sK4),
inference(cnf_transformation,[],[f418]) ).
cnf(c_54,negated_conjecture,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f417]) ).
cnf(c_55,negated_conjecture,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f416]) ).
cnf(c_56,negated_conjecture,
v2_orders_2(sK4),
inference(cnf_transformation,[],[f415]) ).
cnf(c_106,plain,
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_115,plain,
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f502]) ).
cnf(c_136,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f524]) ).
cnf(c_156,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_158,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X3,X1,X0)
| ~ 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)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| k2_waybel34(X0,X1,X3) = X2 ),
inference(cnf_transformation,[],[f562]) ).
cnf(c_166,plain,
( ~ l1_struct_0(X0)
| m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_169,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f573]) ).
cnf(c_229,plain,
( ~ l1_struct_0(X0)
| v1_funct_1(k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f633]) ).
cnf(c_243,plain,
( ~ sP2(X0)
| v18_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f646]) ).
cnf(c_244,plain,
( ~ sP2(X0)
| v17_waybel_0(k7_grcat_1(X0),X0,X0) ),
inference(cnf_transformation,[],[f645]) ).
cnf(c_245,plain,
( ~ sP2(X0)
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f644]) ).
cnf(c_249,plain,
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f653]) ).
cnf(c_382,plain,
( ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X0,k7_grcat_1(X0),k7_grcat_1(X0)),X0,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f786]) ).
cnf(c_394,plain,
( ~ l1_orders_2(sK4)
| l1_struct_0(sK4) ),
inference(instantiation,[status(thm)],[c_169]) ).
cnf(c_427,plain,
( ~ l1_struct_0(sK4)
| v1_funct_1(k7_grcat_1(sK4)) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_463,plain,
( ~ sP2(sK4)
| v17_waybel_0(k7_grcat_1(sK4),sK4,sK4) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_464,plain,
( ~ sP2(sK4)
| v18_waybel_0(k7_grcat_1(sK4),sK4,sK4) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_483,plain,
( ~ l1_orders_2(sK4)
| ~ v2_lattice3(sK4)
| ~ v3_struct_0(sK4) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_505,plain,
( ~ l1_orders_2(sK4)
| ~ v2_orders_2(sK4)
| v3_struct_0(sK4)
| sP2(sK4) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_506,plain,
( ~ sP2(sK4)
| v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_526,plain,
( ~ l1_struct_0(sK4)
| m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4)) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_702,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v18_waybel_0(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ 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(X2)
| ~ v1_funct_1(X3)
| k2_waybel34(X0,X1,X3) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_158,c_106,c_115,c_158]) ).
cnf(c_703,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X3,X1,X0)
| ~ 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)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| k2_waybel34(X0,X1,X3) = X2 ),
inference(renaming,[status(thm)],[c_702]) ).
cnf(c_704,plain,
( ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v17_waybel_0(X2,X0,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))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ 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(X2)
| ~ v1_funct_1(X3)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(global_subsumption_just,[status(thm)],[c_156,c_106,c_115,c_156]) ).
cnf(c_705,plain,
( ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v17_waybel_0(X2,X0,X1)
| ~ 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)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| k1_waybel34(X0,X1,X2) = X3 ),
inference(renaming,[status(thm)],[c_704]) ).
cnf(c_29257,plain,
( ~ 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))
| ~ v18_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v1_funct_1(k7_grcat_1(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)
| k2_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_382,c_703]) ).
cnf(c_29271,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v18_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK4)
| k2_waybel34(sK4,sK4,k7_grcat_1(sK4)) = k7_grcat_1(sK4)
| v3_struct_0(sK4) ),
inference(instantiation,[status(thm)],[c_29257]) ).
cnf(c_29646,plain,
( ~ 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))
| ~ v17_waybel_0(k7_grcat_1(X0),X0,X0)
| ~ v1_funct_1(k7_grcat_1(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)
| k1_waybel34(X0,X0,k7_grcat_1(X0)) = k7_grcat_1(X0)
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_382,c_705]) ).
cnf(c_29660,plain,
( ~ v1_funct_2(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ m2_relset_1(k7_grcat_1(sK4),u1_struct_0(sK4),u1_struct_0(sK4))
| ~ v17_waybel_0(k7_grcat_1(sK4),sK4,sK4)
| ~ v1_funct_1(k7_grcat_1(sK4))
| ~ l1_orders_2(sK4)
| ~ v3_lattice3(sK4)
| ~ v2_lattice3(sK4)
| ~ v1_lattice3(sK4)
| ~ v4_orders_2(sK4)
| ~ v3_orders_2(sK4)
| ~ v2_orders_2(sK4)
| k1_waybel34(sK4,sK4,k7_grcat_1(sK4)) = k7_grcat_1(sK4)
| v3_struct_0(sK4) ),
inference(instantiation,[status(thm)],[c_29646]) ).
cnf(c_29661,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29660,c_29271,c_49,c_526,c_506,c_505,c_483,c_464,c_463,c_427,c_394,c_50,c_51,c_52,c_53,c_54,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 09:37:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.56/1.67 % SZS status Started for theBenchmark.p
% 6.56/1.67 % SZS status Theorem for theBenchmark.p
% 6.56/1.67
% 6.56/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.56/1.67
% 6.56/1.67 ------ iProver source info
% 6.56/1.67
% 6.56/1.67 git: date: 2023-05-31 18:12:56 +0000
% 6.56/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.56/1.67 git: non_committed_changes: false
% 6.56/1.67 git: last_make_outside_of_git: false
% 6.56/1.67
% 6.56/1.67 ------ Parsing...
% 6.56/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.56/1.67
% 6.56/1.67 ------ Preprocessing... sup_sim: 1 sf_s rm: 123 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e
% 6.56/1.67
% 6.56/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.56/1.67
% 6.56/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.56/1.67 ------ Proving...
% 6.56/1.67 ------ Problem Properties
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67 clauses 142
% 6.56/1.67 conjectures 8
% 6.56/1.67 EPR 45
% 6.56/1.67 Horn 99
% 6.56/1.67 unary 44
% 6.56/1.67 binary 26
% 6.56/1.67 lits 750
% 6.56/1.67 lits eq 8
% 6.56/1.67 fd_pure 0
% 6.56/1.67 fd_pseudo 0
% 6.56/1.67 fd_cond 1
% 6.56/1.67 fd_pseudo_cond 3
% 6.56/1.67 AC symbols 0
% 6.56/1.67
% 6.56/1.67 ------ Schedule dynamic 5 is on
% 6.56/1.67
% 6.56/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67 ------
% 6.56/1.67 Current options:
% 6.56/1.67 ------
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67 ------ Proving...
% 6.56/1.67
% 6.56/1.67
% 6.56/1.67 % SZS status Theorem for theBenchmark.p
% 6.56/1.67
% 6.56/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.56/1.67
% 6.69/1.67
%------------------------------------------------------------------------------