%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:19 PM UTC 2026
% Result : Theorem 3.16s 1.33s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 293 ( 84 unt; 8 def)
% Number of atoms : 1854 ( 65 equ)
% Maximal formula atoms : 19 ( 6 avg)
% Number of connectives : 1828 ( 749 ~; 844 |; 191 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 9 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 269 ( 0 sgn 261 !; 8 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( X3 = k1_realset1(u1_lattices(X0),X1)
& X2 = k1_realset1(u2_lattices(X0),X1) )
=> ( r1_lattice2(X1,X3,X2)
& r1_lattice2(X1,X2,X3)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( X3 = k1_realset1(u1_lattices(X0),X1)
& X2 = k1_realset1(u2_lattices(X0),X1) )
=> ( r1_lattice2(X1,X3,X2)
& r1_lattice2(X1,X2,X3)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f21,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f23,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f25,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f35,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f38,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f40,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f42,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f44,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f57,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( X3 = k1_realset1(X2,X1)
=> ( ( v2_binop_1(X2,X0)
=> v2_binop_1(X3,X1) )
& ( v3_binop_1(X2,X0)
=> v3_binop_1(X3,X1) )
& ( v1_binop_1(X2,X0)
=> v1_binop_1(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_filter_2) ).
fof(f61,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_lattice2) ).
fof(f64,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r1_lattice2(X0,X2,X3)
& X5 = k1_realset1(X3,X1)
& X4 = k1_realset1(X2,X1) )
=> r1_lattice2(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_filter_2) ).
fof(f71,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f72,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f44]) ).
fof(f73,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f74,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f42]) ).
fof(f77,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& ? [X2] :
( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& ? [X3] :
( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& X3 = k1_realset1(u1_lattices(X0),X1)
& X2 = k1_realset1(u2_lattices(X0),X1)
& ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f78,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& ? [X2] :
( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& ? [X3] :
( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& X3 = k1_realset1(u1_lattices(X0),X1)
& X2 = k1_realset1(u2_lattices(X0),X1)
& ( ~ r1_lattice2(X1,X3,X2)
| ~ r1_lattice2(X1,X2,X3)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1) ) ) ) ) ),
inference(flattening,[],[f77]) ).
fof(f81,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f82,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f81]) ).
fof(f90,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f92,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f93,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f94,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f93]) ).
fof(f96,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f97,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f35]) ).
fof(f102,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f104,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f108,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f107]) ).
fof(f111,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f112,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f115]) ).
fof(f122,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ( ( ~ v2_binop_1(X2,X0)
| v2_binop_1(X3,X1) )
& ( ~ v3_binop_1(X2,X0)
| v3_binop_1(X3,X1) )
& ( ~ v1_binop_1(X2,X0)
| v1_binop_1(X3,X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f123,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ( ( ~ v2_binop_1(X2,X0)
| v2_binop_1(X3,X1) )
& ( ~ v3_binop_1(X2,X0)
| v3_binop_1(X3,X1) )
& ( ~ v1_binop_1(X2,X0)
| v1_binop_1(X3,X1) ) ) ) ) ) ),
inference(flattening,[],[f122]) ).
fof(f128,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f131,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(flattening,[],[f130]) ).
fof(f134,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| r1_lattice2(X1,X4,X5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f135,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| r1_lattice2(X1,X4,X5) ) ) ) ) ) ),
inference(flattening,[],[f134]) ).
fof(f140,plain,
( l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0)
& m2_lattice4(sK1,sK0)
& ~ v1_xboole_0(sK1)
& m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK2)
& m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK3)
& sK3 = k1_realset1(u1_lattices(sK0),sK1)
& sK2 = k1_realset1(u2_lattices(sK0),sK1)
& ( ~ r1_lattice2(sK1,sK3,sK2)
| ~ r1_lattice2(sK1,sK2,sK3)
| ~ v2_binop_1(sK3,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK2,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f78]) ).
fof(f160,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f161,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f162,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f163,plain,
m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f164,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f165,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f166,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f167,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f170,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
sK3 = k1_realset1(u1_lattices(sK0),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
sK2 = k1_realset1(u2_lattices(sK0),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
( ~ r1_lattice2(sK1,sK3,sK2)
| ~ r1_lattice2(sK1,sK2,sK3)
| ~ v2_binop_1(sK3,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK2,sK1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f178,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f179,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f180,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f181,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f190,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f192,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f193,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f194,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f196,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f197,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f198,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f199,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f200,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f201,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f211,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f214,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f220,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f231,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ~ v2_binop_1(X2,X0)
| v2_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ~ v1_binop_1(X2,X0)
| v1_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f263,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f264,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| r1_lattice2(X1,X4,X5) ),
inference(cnf_transformation,[],[f135]) ).
fof(f271,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k1_realset1(X2,X1),X1) ),
inference(equality_resolution,[],[f259]) ).
fof(f273,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k1_realset1(X2,X1),X1) ),
inference(equality_resolution,[],[f257]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| r1_lattice2(X1,k1_realset1(X2,X1),X5) ),
inference(equality_resolution,[],[f266]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ r1_lattice2(X0,X2,X3)
| r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1)) ),
inference(equality_resolution,[],[f274]) ).
tcf(c_49,negated_conjecture,
( ~ v2_binop_1(sK3,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v1_binop_1(sK2,sK1)
| ~ r1_lattice2(sK1,sK3,sK2)
| ~ r1_lattice2(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_50,negated_conjecture,
k1_realset1(u2_lattices(sK0),sK1) = sK2,
inference(cnf_transformation,[],[f172]) ).
tcf(c_51,negated_conjecture,
k1_realset1(u1_lattices(sK0),sK1) = sK3,
inference(cnf_transformation,[],[f171]) ).
tcf(c_52,negated_conjecture,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f170]) ).
tcf(c_53,negated_conjecture,
v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f169]) ).
tcf(c_54,negated_conjecture,
m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f168]) ).
tcf(c_55,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f167]) ).
tcf(c_56,negated_conjecture,
v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f166]) ).
tcf(c_57,negated_conjecture,
m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f165]) ).
tcf(c_58,negated_conjecture,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f164]) ).
tcf(c_59,negated_conjecture,
m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f163]) ).
tcf(c_60,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f162]) ).
tcf(c_61,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f161]) ).
tcf(c_62,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f160]) ).
tcf(c_65,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_66,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_67,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_68,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_75,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_77,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_78,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_81,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_82,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_83,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_84,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_85,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_86,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_96,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_102,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_108,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_114,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_119,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_binop_1(k1_realset1(X0,X1),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(k1_realset1(X0,X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v2_binop_1(k1_realset1(X0,X1),X1)
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(k1_realset1(X0,X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_148,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_149,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r1_lattice2(X1,k1_realset1(X0,X1),k1_realset1(X2,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(k1_realset1(X0,X1))
| ~ r1_lattice2(X3,X0,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X0,X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_263,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
tcf(c_265,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
tcf(c_279,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
tcf(c_281,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
tcf(c_283,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_285,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
tcf(c_291,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_293,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
tcf(c_295,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_1524,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_102]) ).
tcf(c_1525,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1524]) ).
tcf(c_1527,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1525,c_78,c_1525]) ).
tcf(c_1528,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_1527]) ).
tcf(c_1568,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_108]) ).
tcf(c_1569,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1568]) ).
tcf(c_1571,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1569,c_78,c_1569]) ).
tcf(c_1572,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_1571]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_114]) ).
tcf(c_1595,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1594]) ).
tcf(c_1597,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1595,c_77,c_1595]) ).
tcf(c_1598,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_1597]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_119]) ).
tcf(c_1639,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1638]) ).
tcf(c_1641,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1639,c_77,c_1639]) ).
tcf(c_1642,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_1641]) ).
tcf(c_1664,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_285]) ).
tcf(c_1665,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1664]) ).
tcf(c_1673,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_283]) ).
tcf(c_1674,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1673]) ).
tcf(c_1682,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_281]) ).
tcf(c_1683,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1682]) ).
tcf(c_1691,plain,
! [X0: $i,X1: $i] :
( l1_struct_0(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_279]) ).
tcf(c_1692,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1691]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_265,c_295]) ).
tcf(c_1733,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1732]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_265,c_293]) ).
tcf(c_1742,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1741]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_265,c_291]) ).
tcf(c_1751,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1750]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_79]) ).
tcf(c_1792,plain,
( v3_struct_0(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1791]) ).
tcf(c_1793,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(global_subsumption_just,[status(thm)],[c_1792,c_62,c_61,c_60,c_1792]) ).
tcf(c_1851,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_1642]) ).
tcf(c_1852,plain,
( v3_struct_0(sK0)
| v2_binop_1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1851]) ).
tcf(c_1853,plain,
v2_binop_1(u1_lattices(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1852,c_62,c_60,c_1852]) ).
tcf(c_1865,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_1598]) ).
tcf(c_1866,plain,
( v3_struct_0(sK0)
| v1_binop_1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1865]) ).
tcf(c_1867,plain,
v1_binop_1(u1_lattices(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1866,c_62,c_60,c_1866]) ).
tcf(c_1872,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_1572]) ).
tcf(c_1873,plain,
( v3_struct_0(sK0)
| v2_binop_1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1872]) ).
tcf(c_1874,plain,
v2_binop_1(u2_lattices(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1873,c_62,c_60,c_1873]) ).
tcf(c_1886,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_1528]) ).
tcf(c_1887,plain,
( v3_struct_0(sK0)
| v1_binop_1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1886]) ).
tcf(c_1888,plain,
v1_binop_1(u2_lattices(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1887,c_62,c_60,c_1887]) ).
tcf(c_1893,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_149]) ).
tcf(c_1894,plain,
( v3_struct_0(sK0)
| r1_lattice2(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1893]) ).
tcf(c_1895,plain,
r1_lattice2(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1894,c_62,c_60,c_1894]) ).
tcf(c_1900,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_148]) ).
tcf(c_1901,plain,
( v3_struct_0(sK0)
| r1_lattice2(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ l3_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_1900]) ).
tcf(c_1902,plain,
r1_lattice2(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1901,c_62,c_60,c_1901]) ).
tcf(c_1941,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_96]) ).
tcf(c_1942,plain,
( ~ l1_struct_0(sK0)
| ~ v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_1941]) ).
tcf(c_1979,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1751]) ).
tcf(c_1980,plain,
v1_funct_1(u2_lattices(sK0)),
inference(unflattening,[status(thm)],[c_1979]) ).
tcf(c_1984,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1742]) ).
tcf(c_1985,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_1984]) ).
tcf(c_1989,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1733]) ).
tcf(c_1990,plain,
m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_1989]) ).
tcf(c_1994,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1692]) ).
tcf(c_1995,plain,
l1_struct_0(sK0),
inference(unflattening,[status(thm)],[c_1994]) ).
tcf(c_1999,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1683]) ).
tcf(c_2000,plain,
v1_funct_1(u1_lattices(sK0)),
inference(unflattening,[status(thm)],[c_1999]) ).
tcf(c_2004,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1674]) ).
tcf(c_2005,plain,
v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_2004]) ).
tcf(c_2009,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_1665]) ).
tcf(c_2010,plain,
m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_2009]) ).
tcf(c_2055,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(backward_subsumption_resolution,[status(thm)],[c_1942,c_1995]) ).
tcf(c_2572,definition,
iPr_def_10 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2574,definition,
iPr_def_12 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2575,definition,
iPr_def_13 = u1_lattices(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2576,definition,
iPr_def_14 = k2_zfmisc_1(iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2577,definition,
iPr_def_15 = u2_lattices(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2580,definition,
iPr_def_18 = k2_zfmisc_1(sK1,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_2581,definition,
iPr_def_19 = k1_realset1(iPr_def_13,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_2582,definition,
iPr_def_20 = k1_realset1(iPr_def_15,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_2583,plain,
~ v1_xboole_0(iPr_def_10),
inference(demodulation,[status(thm)],[c_2055,c_2572]) ).
tcf(c_2586,plain,
m2_relset_1(iPr_def_13,iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_2010,c_2576,c_2575]) ).
tcf(c_2587,plain,
v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_2005]) ).
tcf(c_2588,plain,
v1_funct_1(iPr_def_13),
inference(demodulation,[status(thm)],[c_2000]) ).
tcf(c_2589,plain,
m2_relset_1(iPr_def_15,iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_1990,c_2577]) ).
tcf(c_2590,plain,
v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10),
inference(demodulation,[status(thm)],[c_1985]) ).
tcf(c_2591,plain,
v1_funct_1(iPr_def_15),
inference(demodulation,[status(thm)],[c_1980]) ).
tcf(c_2593,plain,
r1_lattice2(iPr_def_10,iPr_def_15,iPr_def_13),
inference(demodulation,[status(thm)],[c_1902]) ).
tcf(c_2594,plain,
r1_lattice2(iPr_def_10,iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_1895]) ).
tcf(c_2595,plain,
v1_binop_1(iPr_def_15,iPr_def_10),
inference(demodulation,[status(thm)],[c_1888]) ).
tcf(c_2597,plain,
v2_binop_1(iPr_def_15,iPr_def_10),
inference(demodulation,[status(thm)],[c_1874]) ).
tcf(c_2598,plain,
v1_binop_1(iPr_def_13,iPr_def_10),
inference(demodulation,[status(thm)],[c_1867]) ).
tcf(c_2600,plain,
v2_binop_1(iPr_def_13,iPr_def_10),
inference(demodulation,[status(thm)],[c_1853]) ).
tcf(c_2603,plain,
m1_subset_1(sK1,iPr_def_12),
inference(demodulation,[status(thm)],[c_1793]) ).
tcf(c_2604,negated_conjecture,
~ v1_xboole_0(sK1),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_2605,negated_conjecture,
m2_relset_1(sK2,iPr_def_18,sK1),
inference(demodulation,[status(thm)],[c_57,c_2580]) ).
tcf(c_2606,negated_conjecture,
v1_funct_2(sK2,iPr_def_18,sK1),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_2607,negated_conjecture,
v1_funct_1(sK2),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_2608,negated_conjecture,
m2_relset_1(sK3,iPr_def_18,sK1),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_2609,negated_conjecture,
v1_funct_2(sK3,iPr_def_18,sK1),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_2610,negated_conjecture,
v1_funct_1(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_2611,negated_conjecture,
iPr_def_19 = sK3,
inference(demodulation,[status(thm)],[c_51,c_2581]) ).
tcf(c_2612,negated_conjecture,
iPr_def_20 = sK2,
inference(demodulation,[status(thm)],[c_50,c_2582]) ).
tcf(c_2613,negated_conjecture,
( ~ v2_binop_1(sK3,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v1_binop_1(sK2,sK1)
| ~ r1_lattice2(sK1,sK3,sK2)
| ~ r1_lattice2(sK1,sK2,sK3) ),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_3554,plain,
v1_funct_1(iPr_def_20),
inference(light_normalisation,[status(thm)],[c_2607,c_2612]) ).
tcf(c_3555,plain,
v1_funct_1(iPr_def_19),
inference(light_normalisation,[status(thm)],[c_2610,c_2611]) ).
tcf(c_3556,plain,
m2_relset_1(iPr_def_20,iPr_def_18,sK1),
inference(light_normalisation,[status(thm)],[c_2605,c_2612]) ).
tcf(c_3557,plain,
v1_funct_2(iPr_def_20,iPr_def_18,sK1),
inference(light_normalisation,[status(thm)],[c_2606,c_2612]) ).
tcf(c_3558,plain,
m2_relset_1(iPr_def_19,iPr_def_18,sK1),
inference(light_normalisation,[status(thm)],[c_2608,c_2611]) ).
tcf(c_3559,plain,
v1_funct_2(iPr_def_19,iPr_def_18,sK1),
inference(light_normalisation,[status(thm)],[c_2609,c_2611]) ).
tcf(c_3560,plain,
( ~ v2_binop_1(iPr_def_20,sK1)
| ~ v2_binop_1(iPr_def_19,sK1)
| ~ v1_binop_1(iPr_def_20,sK1)
| ~ v1_binop_1(iPr_def_19,sK1)
| ~ r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ r1_lattice2(sK1,iPr_def_19,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_2613,c_2611,c_2612]) ).
tcf(c_3919,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v1_binop_1(k1_realset1(iPr_def_13,sK1),sK1)
| ~ v1_funct_1(iPr_def_13)
| ~ v1_binop_1(iPr_def_13,X0)
| ~ v1_funct_1(k1_realset1(iPr_def_13,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(iPr_def_19,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_13,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2581,c_142]) ).
tcf(c_3920,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v1_binop_1(k1_realset1(iPr_def_15,sK1),sK1)
| ~ v1_funct_1(iPr_def_15)
| ~ v1_binop_1(iPr_def_15,X0)
| ~ v1_funct_1(k1_realset1(iPr_def_15,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(iPr_def_20,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_15,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2582,c_142]) ).
tcf(c_3947,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v1_binop_1(iPr_def_20,sK1)
| ~ v1_funct_1(iPr_def_20)
| ~ v1_funct_1(iPr_def_15)
| ~ v1_binop_1(iPr_def_15,X0)
| ~ m2_relset_1(iPr_def_20,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_20,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_3920,c_2580,c_2582]) ).
tcf(c_3948,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_binop_1(iPr_def_20,sK1)
| ~ v1_binop_1(iPr_def_15,X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3947,c_2604,c_3554,c_2591,c_3556,c_3557]) ).
tcf(c_3955,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v1_binop_1(iPr_def_19,sK1)
| ~ v1_funct_1(iPr_def_19)
| ~ v1_funct_1(iPr_def_13)
| ~ v1_binop_1(iPr_def_13,X0)
| ~ m2_relset_1(iPr_def_19,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_19,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_3919,c_2580,c_2581]) ).
tcf(c_3956,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_binop_1(iPr_def_19,sK1)
| ~ v1_binop_1(iPr_def_13,X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3955,c_2604,c_3555,c_2588,c_3558,c_3559]) ).
tcf(c_3989,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v2_binop_1(k1_realset1(iPr_def_13,sK1),sK1)
| ~ v1_funct_1(iPr_def_13)
| ~ v2_binop_1(iPr_def_13,X0)
| ~ v1_funct_1(k1_realset1(iPr_def_13,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(iPr_def_19,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_13,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2581,c_144]) ).
tcf(c_3990,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v2_binop_1(k1_realset1(iPr_def_15,sK1),sK1)
| ~ v1_funct_1(iPr_def_15)
| ~ v2_binop_1(iPr_def_15,X0)
| ~ v1_funct_1(k1_realset1(iPr_def_15,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ v1_funct_2(iPr_def_20,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_15,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2582,c_144]) ).
tcf(c_4017,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v2_binop_1(iPr_def_20,sK1)
| ~ v1_funct_1(iPr_def_20)
| ~ v1_funct_1(iPr_def_15)
| ~ v2_binop_1(iPr_def_15,X0)
| ~ m2_relset_1(iPr_def_20,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_20,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_3990,c_2580,c_2582]) ).
tcf(c_4018,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_binop_1(iPr_def_20,sK1)
| ~ v2_binop_1(iPr_def_15,X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4017,c_2604,c_3554,c_2591,c_3556,c_3557]) ).
tcf(c_4025,plain,
! [X0: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X0)
| v2_binop_1(iPr_def_19,sK1)
| ~ v1_funct_1(iPr_def_19)
| ~ v1_funct_1(iPr_def_13)
| ~ v2_binop_1(iPr_def_13,X0)
| ~ m2_relset_1(iPr_def_19,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_19,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_3989,c_2580,c_2581]) ).
tcf(c_4026,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_binop_1(iPr_def_19,sK1)
| ~ v2_binop_1(iPr_def_13,X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4025,c_2604,c_3555,c_2588,c_3558,c_3559]) ).
tcf(c_4065,plain,
( v1_xboole_0(iPr_def_10)
| v1_binop_1(iPr_def_20,sK1)
| ~ v1_binop_1(iPr_def_15,iPr_def_10)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_3948]) ).
tcf(c_4066,plain,
( v1_xboole_0(iPr_def_10)
| v1_binop_1(iPr_def_20,sK1)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ v1_binop_1(iPr_def_15,iPr_def_10)
| ~ m2_relset_1(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_4065,c_2574,c_2576]) ).
tcf(c_4067,plain,
v1_binop_1(iPr_def_20,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4066,c_2583,c_2603,c_2595,c_2589,c_2590]) ).
tcf(c_4068,plain,
( ~ v2_binop_1(iPr_def_20,sK1)
| ~ v2_binop_1(iPr_def_19,sK1)
| ~ v1_binop_1(iPr_def_19,sK1)
| ~ r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ r1_lattice2(sK1,iPr_def_19,iPr_def_20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3560,c_4067]) ).
tcf(c_4087,plain,
( v1_xboole_0(iPr_def_10)
| v1_binop_1(iPr_def_19,sK1)
| ~ v1_binop_1(iPr_def_13,iPr_def_10)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_3956]) ).
tcf(c_4088,plain,
( v1_xboole_0(iPr_def_10)
| v1_binop_1(iPr_def_19,sK1)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ v1_binop_1(iPr_def_13,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_4087,c_2574,c_2576]) ).
tcf(c_4089,plain,
v1_binop_1(iPr_def_19,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4088,c_2583,c_2603,c_2598,c_2586,c_2587]) ).
tcf(c_4103,plain,
( v1_xboole_0(iPr_def_10)
| v2_binop_1(iPr_def_20,sK1)
| ~ v2_binop_1(iPr_def_15,iPr_def_10)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_4018]) ).
tcf(c_4104,plain,
( v1_xboole_0(iPr_def_10)
| v2_binop_1(iPr_def_20,sK1)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ v2_binop_1(iPr_def_15,iPr_def_10)
| ~ m2_relset_1(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_4103,c_2574,c_2576]) ).
tcf(c_4105,plain,
v2_binop_1(iPr_def_20,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4104,c_2583,c_2603,c_2597,c_2589,c_2590]) ).
tcf(c_4119,plain,
( v1_xboole_0(iPr_def_10)
| v2_binop_1(iPr_def_19,sK1)
| ~ v2_binop_1(iPr_def_13,iPr_def_10)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_4026]) ).
tcf(c_4120,plain,
( v1_xboole_0(iPr_def_10)
| v2_binop_1(iPr_def_19,sK1)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ v2_binop_1(iPr_def_13,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_4119,c_2574,c_2576]) ).
tcf(c_4121,plain,
v2_binop_1(iPr_def_19,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4120,c_2583,c_2603,c_2600,c_2586,c_2587]) ).
tcf(c_4174,plain,
( ~ r1_lattice2(sK1,iPr_def_19,iPr_def_20)
| ~ r1_lattice2(sK1,iPr_def_20,iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_4068,c_4068,c_4089,c_4105,c_4121]) ).
tcf(c_4175,plain,
( ~ r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ r1_lattice2(sK1,iPr_def_19,iPr_def_20) ),
inference(renaming,[status(thm)],[c_4174]) ).
tcf(c_4222,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X1)
| r1_lattice2(sK1,k1_realset1(iPr_def_13,sK1),k1_realset1(X0,sK1))
| ~ v1_funct_1(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_realset1(iPr_def_13,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_13,X0)
| ~ v1_funct_2(iPr_def_19,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(iPr_def_13,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2581,c_151]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X1)
| r1_lattice2(sK1,k1_realset1(iPr_def_15,sK1),k1_realset1(X0,sK1))
| ~ v1_funct_1(iPr_def_15)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(k1_realset1(iPr_def_15,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_15,X0)
| ~ v1_funct_2(iPr_def_20,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(iPr_def_15,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1) ),
inference(superposition,[status(thm)],[c_2582,c_151]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X1)
| r1_lattice2(sK1,iPr_def_20,k1_realset1(X0,sK1))
| ~ v1_funct_1(iPr_def_20)
| ~ v1_funct_1(iPr_def_15)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(iPr_def_20,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_20,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_15,X0)
| ~ m2_relset_1(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(light_normalisation,[status(thm)],[c_4223,c_2580,c_2582]) ).
tcf(c_4263,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_lattice2(sK1,iPr_def_20,k1_realset1(X0,sK1))
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_15,X0)
| ~ m2_relset_1(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4262,c_2604,c_3554,c_2591,c_3556,c_3557]) ).
tcf(c_4276,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK1)
| v1_xboole_0(X1)
| r1_lattice2(sK1,iPr_def_19,k1_realset1(X0,sK1))
| ~ v1_funct_1(iPr_def_19)
| ~ v1_funct_1(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(iPr_def_19,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_19,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_13,X0)
| ~ m2_relset_1(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(light_normalisation,[status(thm)],[c_4222,c_2580,c_2581]) ).
tcf(c_4277,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_lattice2(sK1,iPr_def_19,k1_realset1(X0,sK1))
| ~ v1_funct_1(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ r1_lattice2(X1,iPr_def_13,X0)
| ~ m2_relset_1(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4276,c_2604,c_3555,c_2588,c_3558,c_3559]) ).
tcf(c_4333,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_20,k1_realset1(iPr_def_13,sK1))
| ~ v1_funct_1(iPr_def_13)
| ~ v1_funct_2(iPr_def_19,iPr_def_18,sK1)
| ~ v1_funct_1(k1_realset1(iPr_def_13,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_15,iPr_def_13)
| ~ m2_relset_1(k1_realset1(iPr_def_13,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_2581,c_4263]) ).
tcf(c_4343,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ v1_funct_1(iPr_def_19)
| ~ v1_funct_1(iPr_def_13)
| ~ m2_relset_1(iPr_def_19,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_19,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_15,iPr_def_13)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_4333,c_2581]) ).
tcf(c_4344,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_15,iPr_def_13)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4343,c_3555,c_2588,c_3558,c_3559]) ).
tcf(c_4380,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_19,k1_realset1(iPr_def_15,sK1))
| ~ v1_funct_1(iPr_def_15)
| ~ v1_funct_2(iPr_def_20,iPr_def_18,sK1)
| ~ v1_funct_1(k1_realset1(iPr_def_15,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_13,iPr_def_15)
| ~ m2_relset_1(k1_realset1(iPr_def_15,sK1),iPr_def_18,sK1)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_2582,c_4277]) ).
tcf(c_4389,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_19,iPr_def_20)
| ~ v1_funct_1(iPr_def_20)
| ~ v1_funct_1(iPr_def_15)
| ~ m2_relset_1(iPr_def_20,iPr_def_18,sK1)
| ~ v1_funct_2(iPr_def_20,iPr_def_18,sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_13,iPr_def_15)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_4380,c_2582]) ).
tcf(c_4390,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_lattice2(sK1,iPr_def_19,iPr_def_20)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_13,iPr_def_15)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4389,c_3554,c_2591,c_3556,c_3557]) ).
tcf(c_4732,plain,
( v1_xboole_0(iPr_def_10)
| r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ r1_lattice2(iPr_def_10,iPr_def_15,iPr_def_13)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_4344]) ).
tcf(c_4733,plain,
( v1_xboole_0(iPr_def_10)
| r1_lattice2(sK1,iPr_def_20,iPr_def_19)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ m2_relset_1(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ r1_lattice2(iPr_def_10,iPr_def_15,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_4732,c_2574,c_2576]) ).
tcf(c_4734,plain,
r1_lattice2(sK1,iPr_def_20,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_4733,c_2583,c_2603,c_2589,c_2586,c_2590,c_2587,c_2593]) ).
tcf(c_4736,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,iPr_def_13,iPr_def_15)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_4390,c_4175,c_4390,c_4734]) ).
tcf(c_4737,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| ~ r1_lattice2(X0,iPr_def_13,iPr_def_15)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(iPr_def_13,k2_zfmisc_1(X0,X0),X0) ),
inference(renaming,[status(thm)],[c_4736]) ).
tcf(c_4754,plain,
( v1_xboole_0(iPr_def_10)
| ~ m1_subset_1(sK1,k1_zfmisc_1(iPr_def_10))
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ r1_lattice2(iPr_def_10,iPr_def_13,iPr_def_15)
| ~ m2_relset_1(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m2_relset_1(iPr_def_13,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_15,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2576,c_4737]) ).
tcf(c_4755,plain,
( v1_xboole_0(iPr_def_10)
| ~ m1_subset_1(sK1,iPr_def_12)
| ~ m2_relset_1(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ m2_relset_1(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_15,iPr_def_14,iPr_def_10)
| ~ v1_funct_2(iPr_def_13,iPr_def_14,iPr_def_10)
| ~ r1_lattice2(iPr_def_10,iPr_def_13,iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_4754,c_2574,c_2576]) ).
tcf(c_4756,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4755,c_2583,c_2603,c_2589,c_2586,c_2590,c_2587,c_2594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.50 % Computer : n008.cluster.edu
% 0.10/0.50 % Model : x86_64 x86_64
% 0.10/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.50 % Memory : 8046.5625MB
% 0.10/0.50 % OS : Linux 6.8.0-71-generic
% 0.10/0.50 % CPULimit : 300
% 0.10/0.50 % WCLimit : 300
% 0.10/0.50 % DateTime : Wed Sep 23 21:07:56 UTC 2026
% 0.10/0.50 % CPUTime :
% 0.10/0.50 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.54 Running first-order theorem proving
% 0.10/0.54 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.55
% 0.10/0.55 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.55
% 0.10/0.55 % Detected problem language: tptp
% 0.15/0.56 % Proving...
% 3.16/1.33 % SZS status Started for theBenchmark.p
% 3.16/1.33 % SZS status Theorem for theBenchmark.p
% 3.16/1.33
% 3.16/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.33
% 3.16/1.33 % ------ iProver source info
% 3.16/1.33
% 3.16/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.33 % git: non_committed_changes: false
% 3.16/1.33
% 3.16/1.33 % ------ Parsing...
% 3.16/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.16/1.33
% 3.16/1.33 % ------ Preprocessing... sup_sim: 0 sf_s rm: 3 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: 10 0s sf_e pe_s pe_e %
% 3.16/1.33
% 3.16/1.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.16/1.33
% 3.16/1.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.33 % ------ Proving...
% 3.16/1.33 % ------ Problem Properties
% 3.16/1.33
% 3.16/1.33 %
% 3.16/1.33 % clauses 97
% 3.16/1.33 % conjectures 10
% 3.16/1.33 % EPR 48
% 3.16/1.33 % Horn 91
% 3.16/1.33 % unary 74
% 3.16/1.33 % binary 12
% 3.16/1.33 % lits 164
% 3.16/1.33 % lits eq 16
% 3.16/1.33 % fd_pure 0
% 3.16/1.33 % fd_pseudo 0
% 3.16/1.33 % fd_cond 1
% 3.16/1.33 % fd_pseudo_cond 1
% 3.16/1.33 % AC symbols 0
% 3.16/1.33
% 3.16/1.33 % ------ Schedule dynamic 5 is on
% 3.16/1.33
% 3.16/1.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.33
% 3.16/1.33
% 3.16/1.33 % ------
% 3.16/1.33 % Current options:
% 3.16/1.33 % ------
% 3.16/1.33
% 3.16/1.33
% 3.16/1.33 %
% 3.16/1.33
% 3.16/1.33 % ------ Proving...
% 3.16/1.33 %
% 3.16/1.33
% 3.16/1.33 % SZS status Theorem for theBenchmark.p
% 3.16/1.33
% 3.16/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.34
% 3.16/1.34
%------------------------------------------------------------------------------