TSTP Solution File: LAT310+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:35:12 EDT 2024
% Result : Theorem 4.09s 1.12s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) )
& r1_tarski(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f8,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f36,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f46,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f36]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f48]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f58,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f57]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f78,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f79,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f88,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
=> ( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
& r1_tarski(sK2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
& r1_tarski(sK2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
=> ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
& r1_tarski(sK2,sK3) ) )
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
& r1_tarski(sK2,sK3) ) )
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f91,f90,f89,f88]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
=> ( ~ r1_tarski(X2,sK4(X0,X1,X2))
& r1_tarski(X1,sK4(X0,X1,X2))
& m2_filter_2(sK4(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ( ~ r1_tarski(X2,sK4(X0,X1,X2))
& r1_tarski(X1,sK4(X0,X1,X2))
& m2_filter_2(sK4(X0,X1,X2),X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96]) ).
fof(f127,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f128,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f129,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f92]) ).
fof(f133,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f92]) ).
fof(f135,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f136,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| r1_tarski(sK2,sK3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f137,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f148,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f150,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = X2
| m2_filter_2(sK4(X0,X1,X2),X0)
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f151,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = X2
| r1_tarski(X1,sK4(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f152,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = X2
| ~ r1_tarski(X2,sK4(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f158,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f159,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f160,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f183,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f185,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f194,plain,
! [X0,X1,X4] :
( r1_tarski(k19_filter_2(X0,X1),X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f149]) ).
fof(f195,plain,
! [X0,X1] :
( r1_tarski(X1,k19_filter_2(X0,X1))
| ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f148]) ).
cnf(c_49,negated_conjecture,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_50,negated_conjecture,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| r1_tarski(sK2,sK3) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f135]) ).
cnf(c_52,negated_conjecture,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f134]) ).
cnf(c_53,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f133]) ).
cnf(c_54,negated_conjecture,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f132]) ).
cnf(c_55,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f131]) ).
cnf(c_56,negated_conjecture,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f130]) ).
cnf(c_57,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f129]) ).
cnf(c_58,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f128]) ).
cnf(c_59,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f127]) ).
cnf(c_68,plain,
( ~ r1_tarski(X0,sK4(X1,X2,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X0)
| ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k19_filter_2(X1,X2) = X0
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_69,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k19_filter_2(X1,X0) = X2
| r1_tarski(X0,sK4(X1,X0,X2))
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_70,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k19_filter_2(X1,X0) = X2
| m2_filter_2(sK4(X1,X0,X2),X1)
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_71,plain,
( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r1_tarski(k19_filter_2(X0,X1),X2)
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_72,plain,
( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r1_tarski(X1,k19_filter_2(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_73,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k19_filter_2(X1,X0),X1)
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_78,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_79,plain,
( ~ m2_filter_2(X0,X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_80,plain,
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_103,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[],[f183]) ).
cnf(c_105,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X0)
| r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_580,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(X0,k19_filter_2(X1,X0))
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_72,c_73]) ).
cnf(c_581,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_tarski(k19_filter_2(X1,X0),X2)
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_71,c_73]) ).
cnf(c_1054,plain,
( X0 != X1
| X2 != X3
| ~ m2_filter_2(X0,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_78,c_80]) ).
cnf(c_1055,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_1054]) ).
cnf(c_1274,plain,
( X0 != sK0
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_1055]) ).
cnf(c_1275,plain,
( ~ m2_filter_2(X0,sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1274]) ).
cnf(c_1277,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1275,c_57,c_59,c_1275]) ).
cnf(c_1278,plain,
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_1277]) ).
cnf(c_1286,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ l3_lattices(X0)
| r1_tarski(k19_filter_2(X0,X1),X2)
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_581]) ).
cnf(c_1287,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| ~ l3_lattices(sK0)
| r1_tarski(k19_filter_2(sK0,X0),X1)
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1286]) ).
cnf(c_1289,plain,
( v1_xboole_0(X0)
| r1_tarski(k19_filter_2(sK0,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1287,c_57,c_59,c_1287]) ).
cnf(c_1290,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| r1_tarski(k19_filter_2(sK0,X0),X1)
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1289]) ).
cnf(c_1307,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| r1_tarski(X1,k19_filter_2(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_580]) ).
cnf(c_1308,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| r1_tarski(X0,k19_filter_2(sK0,X0))
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1307]) ).
cnf(c_1310,plain,
( v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_1308,c_57,c_59,c_1308]) ).
cnf(c_1311,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r1_tarski(X0,k19_filter_2(sK0,X0))
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1310]) ).
cnf(c_1322,plain,
( X0 != sK0
| ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_79]) ).
cnf(c_1323,plain,
( ~ m2_filter_2(X0,sK0)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1322]) ).
cnf(c_1325,plain,
( ~ m2_filter_2(X0,sK0)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1323,c_57,c_59,c_1323]) ).
cnf(c_1334,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| m2_filter_2(k19_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_73]) ).
cnf(c_1335,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1334]) ).
cnf(c_1337,plain,
( v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_1335,c_57,c_59,c_1335]) ).
cnf(c_1338,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1337]) ).
cnf(c_1349,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ l3_lattices(X0)
| k19_filter_2(X0,X1) = X2
| m2_filter_2(sK4(X0,X1,X2),X0)
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_70]) ).
cnf(c_1350,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| ~ l3_lattices(sK0)
| k19_filter_2(sK0,X0) = X1
| m2_filter_2(sK4(sK0,X0,X1),sK0)
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1349]) ).
cnf(c_1352,plain,
( v1_xboole_0(X0)
| m2_filter_2(sK4(sK0,X0,X1),sK0)
| k19_filter_2(sK0,X0) = X1
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1350,c_57,c_59,c_1350]) ).
cnf(c_1353,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| k19_filter_2(sK0,X0) = X1
| m2_filter_2(sK4(sK0,X0,X1),sK0)
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1352]) ).
cnf(c_1373,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m2_filter_2(X2,X0)
| ~ l3_lattices(X0)
| k19_filter_2(X0,X1) = X2
| r1_tarski(X1,sK4(X0,X1,X2))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_69]) ).
cnf(c_1374,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| ~ l3_lattices(sK0)
| k19_filter_2(sK0,X0) = X1
| r1_tarski(X0,sK4(sK0,X0,X1))
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1373]) ).
cnf(c_1376,plain,
( v1_xboole_0(X0)
| r1_tarski(X0,sK4(sK0,X0,X1))
| k19_filter_2(sK0,X0) = X1
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1374,c_57,c_59,c_1374]) ).
cnf(c_1377,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK0)
| k19_filter_2(sK0,X0) = X1
| r1_tarski(X0,sK4(sK0,X0,X1))
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1376]) ).
cnf(c_1397,plain,
( X0 != sK0
| ~ r1_tarski(X1,sK4(X0,X2,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| k19_filter_2(X0,X2) = X1
| v1_xboole_0(X2)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_68]) ).
cnf(c_1398,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ l3_lattices(sK0)
| k19_filter_2(sK0,X1) = X0
| v1_xboole_0(X1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1397]) ).
cnf(c_1400,plain,
( v1_xboole_0(X1)
| k19_filter_2(sK0,X1) = X0
| ~ r1_tarski(X0,sK4(sK0,X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X1,X0)
| ~ m2_filter_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1398,c_57,c_59,c_1398]) ).
cnf(c_1401,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r1_tarski(X1,X0)
| ~ m2_filter_2(X0,sK0)
| k19_filter_2(sK0,X1) = X0
| v1_xboole_0(X1) ),
inference(renaming,[status(thm)],[c_1400]) ).
cnf(c_4359,plain,
( ~ v1_xboole_0(X0)
| ~ m2_filter_2(X0,sK0) ),
inference(prop_impl_just,[status(thm)],[c_1325]) ).
cnf(c_4360,plain,
( ~ m2_filter_2(X0,sK0)
| ~ v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_4359]) ).
cnf(c_4415,plain,
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(prop_impl_just,[status(thm)],[c_1278]) ).
cnf(c_7591,plain,
u1_struct_0(sK0) = sP0_iProver_def,
definition ).
cnf(c_7592,plain,
k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_7593,plain,
k19_filter_2(sK0,sK1) = sP2_iProver_def,
definition ).
cnf(c_7594,plain,
k19_filter_2(sK0,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_7595,plain,
k19_filter_2(sK0,sK2) = sP4_iProver_def,
definition ).
cnf(c_7596,plain,
k19_filter_2(sK0,sK3) = sP5_iProver_def,
definition ).
cnf(c_7598,negated_conjecture,
~ v1_xboole_0(sK1),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_7599,negated_conjecture,
m1_subset_1(sK1,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_55,c_7591,c_7592]) ).
cnf(c_7600,negated_conjecture,
~ v1_xboole_0(sK2),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_7601,negated_conjecture,
m1_subset_1(sK2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_7602,negated_conjecture,
~ v1_xboole_0(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_7603,negated_conjecture,
m1_subset_1(sK3,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_7604,negated_conjecture,
( ~ r1_tarski(sP3_iProver_def,sP2_iProver_def)
| r1_tarski(sK2,sK3) ),
inference(demodulation,[status(thm)],[c_50,c_7593,c_7594]) ).
cnf(c_7605,negated_conjecture,
( ~ r1_tarski(sP3_iProver_def,sP2_iProver_def)
| ~ r1_tarski(sP4_iProver_def,sP5_iProver_def) ),
inference(demodulation,[status(thm)],[c_49,c_7596,c_7595]) ).
cnf(c_8755,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| r1_tarski(X0,k19_filter_2(sK0,X0))
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1311,c_7591,c_7592]) ).
cnf(c_8768,plain,
( ~ m1_subset_1(X0,sP1_iProver_def)
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1338,c_7591,c_7592]) ).
cnf(c_8775,plain,
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m2_filter_2(X1,sK0)
| r1_tarski(k19_filter_2(sK0,X0),X1)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1290,c_7591,c_7592]) ).
cnf(c_8786,plain,
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m2_filter_2(X1,sK0)
| k19_filter_2(sK0,X0) = X1
| m2_filter_2(sK4(sK0,X0,X1),sK0)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1353,c_7591,c_7592]) ).
cnf(c_8799,plain,
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m2_filter_2(X1,sK0)
| k19_filter_2(sK0,X0) = X1
| r1_tarski(X0,sK4(sK0,X0,X1))
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1377,c_7591,c_7592]) ).
cnf(c_8812,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,X0))
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sP1_iProver_def)
| ~ m2_filter_2(X0,sK0)
| k19_filter_2(sK0,X1) = X0
| v1_xboole_0(X1) ),
inference(light_normalisation,[status(thm)],[c_1401,c_7591,c_7592]) ).
cnf(c_8825,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,k19_filter_2(sK0,X0)))
| ~ m2_filter_2(sK4(sK0,X1,k19_filter_2(sK0,X0)),sK0)
| ~ r1_tarski(X1,k19_filter_2(sK0,X0))
| ~ m2_filter_2(k19_filter_2(sK0,X0),sK0)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| k19_filter_2(sK0,X0) = k19_filter_2(sK0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(superposition,[status(thm)],[c_8775,c_8812]) ).
cnf(c_8852,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,k19_filter_2(sK0,X0)))
| ~ m2_filter_2(sK4(sK0,X1,k19_filter_2(sK0,X0)),sK0)
| ~ r1_tarski(X1,k19_filter_2(sK0,X0))
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| k19_filter_2(sK0,X0) = k19_filter_2(sK0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8825,c_8768]) ).
cnf(c_8861,plain,
( ~ r1_tarski(X0,sK4(sK0,X1,k19_filter_2(sK0,k19_filter_2(sK0,X0))))
| ~ m2_filter_2(sK4(sK0,X1,k19_filter_2(sK0,k19_filter_2(sK0,X0))),sK0)
| ~ r1_tarski(X1,k19_filter_2(sK0,k19_filter_2(sK0,X0)))
| ~ m1_subset_1(k19_filter_2(sK0,X0),sP1_iProver_def)
| ~ m1_subset_1(X0,sP1_iProver_def)
| ~ m1_subset_1(X1,sP1_iProver_def)
| k19_filter_2(sK0,k19_filter_2(sK0,X0)) = k19_filter_2(sK0,X1)
| v1_xboole_0(k19_filter_2(sK0,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(superposition,[status(thm)],[c_8775,c_8852]) ).
cnf(c_8895,plain,
( ~ m2_filter_2(sK4(sK0,X0,k19_filter_2(sK0,k19_filter_2(sK0,X0))),sK0)
| ~ r1_tarski(X0,k19_filter_2(sK0,k19_filter_2(sK0,X0)))
| ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,X0)),sK0)
| ~ m1_subset_1(k19_filter_2(sK0,X0),sP1_iProver_def)
| ~ m1_subset_1(X0,sP1_iProver_def)
| k19_filter_2(sK0,k19_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| v1_xboole_0(k19_filter_2(sK0,X0))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8799,c_8861]) ).
cnf(c_8926,plain,
( ~ m2_filter_2(sK4(sK0,X0,k19_filter_2(sK0,k19_filter_2(sK0,X0))),sK0)
| ~ r1_tarski(X0,k19_filter_2(sK0,k19_filter_2(sK0,X0)))
| ~ m1_subset_1(k19_filter_2(sK0,X0),sP1_iProver_def)
| ~ m1_subset_1(X0,sP1_iProver_def)
| k19_filter_2(sK0,k19_filter_2(sK0,X0)) = k19_filter_2(sK0,X0)
| v1_xboole_0(k19_filter_2(sK0,X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8895,c_8768]) ).
cnf(c_8951,plain,
( ~ m2_filter_2(sK4(sK0,sK1,k19_filter_2(sK0,sP2_iProver_def)),sK0)
| ~ r1_tarski(sK1,k19_filter_2(sK0,k19_filter_2(sK0,sK1)))
| ~ m1_subset_1(k19_filter_2(sK0,sK1),sP1_iProver_def)
| ~ m1_subset_1(sK1,sP1_iProver_def)
| k19_filter_2(sK0,k19_filter_2(sK0,sK1)) = k19_filter_2(sK0,sK1)
| v1_xboole_0(k19_filter_2(sK0,sK1))
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_7593,c_8926]) ).
cnf(c_8955,plain,
( ~ m1_subset_1(sK1,sP1_iProver_def)
| m2_filter_2(sP2_iProver_def,sK0)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_7593,c_8768]) ).
cnf(c_8956,plain,
( ~ m1_subset_1(sK1,sP1_iProver_def)
| r1_tarski(sK1,sP2_iProver_def)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_7593,c_8755]) ).
cnf(c_8957,plain,
r1_tarski(sK1,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_8956,c_7598,c_7599]) ).
cnf(c_8958,plain,
m2_filter_2(sP2_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_8955,c_7598,c_7599]) ).
cnf(c_8971,plain,
( ~ m2_filter_2(sK4(sK0,sK1,sP3_iProver_def),sK0)
| ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sK1,sP1_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sK1)
| v1_xboole_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_8951,c_7593,c_7594]) ).
cnf(c_8972,plain,
( ~ m2_filter_2(sK4(sK0,sK1,sP3_iProver_def),sK0)
| ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8971,c_7598,c_7599]) ).
cnf(c_8995,plain,
( ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| m2_filter_2(sP3_iProver_def,sK0)
| v1_xboole_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_7594,c_8768]) ).
cnf(c_9042,plain,
( ~ r1_tarski(sK2,X0)
| ~ m2_filter_2(X0,sK0)
| ~ m1_subset_1(sK2,sP1_iProver_def)
| r1_tarski(sP4_iProver_def,X0)
| v1_xboole_0(sK2) ),
inference(superposition,[status(thm)],[c_7595,c_8775]) ).
cnf(c_9047,plain,
( ~ r1_tarski(sK2,X0)
| ~ m2_filter_2(X0,sK0)
| r1_tarski(sP4_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9042,c_7600,c_7601]) ).
cnf(c_9143,plain,
( ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sK1,sP1_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| ~ m2_filter_2(sP3_iProver_def,sK0)
| k19_filter_2(sK0,sK1) = sP3_iProver_def
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sK1)
| v1_xboole_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8786,c_8972]) ).
cnf(c_9144,plain,
( ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sK1,sP1_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| ~ m2_filter_2(sP3_iProver_def,sK0)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sK1)
| v1_xboole_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_9143,c_7593]) ).
cnf(c_9145,plain,
( ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| ~ m2_filter_2(sP3_iProver_def,sK0)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9144,c_7598,c_7599]) ).
cnf(c_9151,plain,
( ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| ~ r1_tarski(sK1,sP3_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_9145,c_8995,c_9145]) ).
cnf(c_9152,plain,
( ~ r1_tarski(sK1,sP3_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(renaming,[status(thm)],[c_9151]) ).
cnf(c_9223,plain,
( ~ m1_subset_1(sK3,sP1_iProver_def)
| m2_filter_2(sP5_iProver_def,sK0)
| v1_xboole_0(sK3) ),
inference(superposition,[status(thm)],[c_7596,c_8768]) ).
cnf(c_9224,plain,
( ~ m1_subset_1(sK3,sP1_iProver_def)
| r1_tarski(sK3,sP5_iProver_def)
| v1_xboole_0(sK3) ),
inference(superposition,[status(thm)],[c_7596,c_8755]) ).
cnf(c_9225,plain,
r1_tarski(sK3,sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_9224,c_7602,c_7603]) ).
cnf(c_9226,plain,
m2_filter_2(sP5_iProver_def,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_9223,c_7602,c_7603]) ).
cnf(c_9282,plain,
( ~ r1_tarski(sK2,sP5_iProver_def)
| r1_tarski(sP4_iProver_def,sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_9226,c_9047]) ).
cnf(c_9834,plain,
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_4415,c_7591,c_7592]) ).
cnf(c_9842,plain,
m1_subset_1(sP2_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_8958,c_9834]) ).
cnf(c_9855,plain,
( ~ r1_tarski(sK1,sP3_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9152,c_9842]) ).
cnf(c_9934,plain,
( ~ r1_tarski(sP2_iProver_def,X0)
| r1_tarski(sK1,X0) ),
inference(superposition,[status(thm)],[c_8957,c_105]) ).
cnf(c_10032,plain,
( ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| r1_tarski(sK1,k19_filter_2(sK0,sP2_iProver_def))
| v1_xboole_0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8755,c_9934]) ).
cnf(c_10035,plain,
( ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| r1_tarski(sK1,sP3_iProver_def)
| v1_xboole_0(sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_10032,c_7594]) ).
cnf(c_10036,plain,
( r1_tarski(sK1,sP3_iProver_def)
| v1_xboole_0(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10035,c_9842]) ).
cnf(c_10102,plain,
( sP2_iProver_def = sP3_iProver_def
| v1_xboole_0(sP2_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_9855,c_9855,c_10036]) ).
cnf(c_11035,plain,
~ v1_xboole_0(sP2_iProver_def),
inference(superposition,[status(thm)],[c_8958,c_4360]) ).
cnf(c_11048,plain,
sP2_iProver_def = sP3_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_10102,c_11035]) ).
cnf(c_11056,plain,
( ~ r1_tarski(sP2_iProver_def,sP2_iProver_def)
| ~ r1_tarski(sP4_iProver_def,sP5_iProver_def) ),
inference(demodulation,[status(thm)],[c_7605,c_11048]) ).
cnf(c_11057,plain,
( ~ r1_tarski(sP2_iProver_def,sP2_iProver_def)
| r1_tarski(sK2,sK3) ),
inference(demodulation,[status(thm)],[c_7604,c_11048]) ).
cnf(c_11058,plain,
r1_tarski(sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_11057,c_103]) ).
cnf(c_11059,plain,
~ r1_tarski(sP4_iProver_def,sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_11056,c_103]) ).
cnf(c_11060,plain,
~ r1_tarski(sK2,sP5_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_9282,c_11059]) ).
cnf(c_11081,plain,
( ~ r1_tarski(sK3,X0)
| r1_tarski(sK2,X0) ),
inference(superposition,[status(thm)],[c_11058,c_105]) ).
cnf(c_12271,plain,
r1_tarski(sK2,sP5_iProver_def),
inference(superposition,[status(thm)],[c_9225,c_11081]) ).
cnf(c_12273,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12271,c_11060]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 18:40:44 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.09/1.12 % SZS status Started for theBenchmark.p
% 4.09/1.12 % SZS status Theorem for theBenchmark.p
% 4.09/1.12
% 4.09/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.09/1.12
% 4.09/1.12 ------ iProver source info
% 4.09/1.12
% 4.09/1.12 git: date: 2024-05-02 19:28:25 +0000
% 4.09/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.09/1.12 git: non_committed_changes: false
% 4.09/1.12
% 4.09/1.12 ------ Parsing...
% 4.09/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.09/1.12
% 4.09/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 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: 7 0s sf_e pe_s pe_e
% 4.09/1.12
% 4.09/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.09/1.12
% 4.09/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.09/1.12 ------ Proving...
% 4.09/1.12 ------ Problem Properties
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12 clauses 67
% 4.09/1.12 conjectures 9
% 4.09/1.12 EPR 24
% 4.09/1.12 Horn 55
% 4.09/1.12 unary 32
% 4.09/1.12 binary 24
% 4.09/1.12 lits 124
% 4.09/1.12 lits eq 11
% 4.09/1.12 fd_pure 0
% 4.09/1.12 fd_pseudo 0
% 4.09/1.12 fd_cond 1
% 4.09/1.12 fd_pseudo_cond 4
% 4.09/1.12 AC symbols 0
% 4.09/1.12
% 4.09/1.12 ------ Schedule dynamic 5 is on
% 4.09/1.12
% 4.09/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12 ------
% 4.09/1.12 Current options:
% 4.09/1.12 ------
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12 ------ Proving...
% 4.09/1.12
% 4.09/1.12
% 4.09/1.12 % SZS status Theorem for theBenchmark.p
% 4.09/1.12
% 4.09/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/1.12
% 4.09/1.12
%------------------------------------------------------------------------------