TSTP Solution File: LAT300+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:35:08 EDT 2024
% Result : Theorem 2.43s 1.12s
% Output : CNFRefutation 2.43s
% 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] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f11,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f13,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_struct_0(X2,X0,X1)
=> m1_subset_1(X2,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_struct_0) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f16,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(f22,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_struct_0(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_struct_0) ).
fof(f36,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_struct_0) ).
fof(f39,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f49]) ).
fof(f57,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_struct_0(X2,X0,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_struct_0(X2,X0,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f59]) ).
fof(f61,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,[],[f15]) ).
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(flattening,[],[f61]) ).
fof(f63,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,[],[f16]) ).
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(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] : m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X2] : m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f81,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f90,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(X1,sK0) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(X1,sK0) )
=> ( ! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) )
& m2_filter_2(sK1,sK0)
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f91,f90]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2] : m1_struct_0(X2,X0,X1)
=> m1_struct_0(sK6(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( m1_struct_0(sK6(X0,X1),X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f66,f101]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m1_struct_0(X2,X0,X1) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f124,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f125,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f126,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f127,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f128,plain,
! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f140,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f142,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f143,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f144,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,[],[f62]) ).
fof(f145,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,[],[f62]) ).
fof(f146,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,[],[f64]) ).
fof(f151,plain,
! [X0,X1] :
( m1_struct_0(sK6(X0,X1),X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f170,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,X1)
| ~ m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f171,plain,
! [X2,X0,X1] :
( m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f174,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_49,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,sK1) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_50,negated_conjecture,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f127]) ).
cnf(c_51,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f126]) ).
cnf(c_52,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f125]) ).
cnf(c_53,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f124]) ).
cnf(c_63,plain,
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_64,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_66,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_struct_0(X2,X1,X0)
| ~ l1_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_67,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_68,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_69,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,[],[f146]) ).
cnf(c_74,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| m1_struct_0(sK6(X1,X0),X1,X0)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_93,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,X0)
| ~ l1_struct_0(X1)
| m1_struct_0(X2,X1,X0)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_94,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_struct_0(X2,X1,X0)
| ~ l1_struct_0(X1)
| m1_subset_1(X2,X0)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_97,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_110,plain,
( ~ l3_lattices(sK0)
| l2_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_111,plain,
( ~ l2_lattices(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_756,plain,
( X0 != sK1
| X1 != sK0
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_68]) ).
cnf(c_757,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ v1_xboole_0(sK1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_756]) ).
cnf(c_758,plain,
~ v1_xboole_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_757,c_52,c_51,c_53,c_757]) ).
cnf(c_763,plain,
( X0 != sK1
| X1 != sK0
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_67]) ).
cnf(c_764,plain,
( ~ l3_lattices(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(sK1,sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_763]) ).
cnf(c_765,plain,
m2_lattice4(sK1,sK0),
inference(global_subsumption_just,[status(thm)],[c_764,c_52,c_51,c_53,c_764]) ).
cnf(c_845,plain,
( X0 != sK0
| ~ m2_lattice4(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_52,c_69]) ).
cnf(c_846,plain,
( ~ m2_lattice4(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_845]) ).
cnf(c_848,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_846,c_51,c_53,c_846]) ).
cnf(c_849,plain,
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_848]) ).
cnf(c_886,plain,
( X0 != sK1
| sK0 != sK0
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution_lifted,[status(thm)],[c_765,c_849]) ).
cnf(c_887,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(unflattening,[status(thm)],[c_886]) ).
cnf(c_902,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X4,X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X3)
| m1_subset_1(X5,u1_struct_0(X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_93,c_66]) ).
cnf(c_903,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,X0)
| ~ l1_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(unflattening,[status(thm)],[c_902]) ).
cnf(c_923,plain,
( sK6(X3,X1) != X4
| X0 != X1
| X2 != X3
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X3)
| m1_subset_1(X4,X0)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_94,c_74]) ).
cnf(c_924,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| m1_subset_1(sK6(X1,X0),X0)
| v3_struct_0(X1)
| v1_xboole_0(X0) ),
inference(unflattening,[status(thm)],[c_923]) ).
cnf(c_1011,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| m1_subset_1(sK6(X0,X1),X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_924]) ).
cnf(c_1012,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_struct_0(sK0)
| m1_subset_1(sK6(sK0,X0),X0)
| v1_xboole_0(X0) ),
inference(unflattening,[status(thm)],[c_1011]) ).
cnf(c_1014,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(sK6(sK0,X0),X0)
| v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1012,c_51,c_110,c_111,c_1012]) ).
cnf(c_1026,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,X1)
| ~ l1_struct_0(X0)
| m1_subset_1(X2,u1_struct_0(X0))
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_903]) ).
cnf(c_1027,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,X0)
| ~ l1_struct_0(sK0)
| m1_subset_1(X1,u1_struct_0(sK0))
| v1_xboole_0(X0) ),
inference(unflattening,[status(thm)],[c_1026]) ).
cnf(c_1029,plain,
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(X1,u1_struct_0(sK0))
| v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1027,c_51,c_110,c_111,c_1027]) ).
cnf(c_1030,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,X0)
| m1_subset_1(X1,u1_struct_0(sK0))
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_1029]) ).
cnf(c_1376,plain,
u1_struct_0(sK0) = sP0_iProver_def,
definition ).
cnf(c_1377,negated_conjecture,
( ~ r2_hidden(X0,sK1)
| ~ m1_subset_1(X0,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_49,c_1376]) ).
cnf(c_1791,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
| m1_subset_1(sK6(sK0,X0),X0)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1014,c_1376]) ).
cnf(c_1805,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
| ~ m1_subset_1(X1,X0)
| m1_subset_1(X1,sP0_iProver_def)
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_1030,c_1376]) ).
cnf(c_1832,plain,
m1_subset_1(sK1,k1_zfmisc_1(sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_887,c_1376]) ).
cnf(c_1833,plain,
( ~ m1_subset_1(X0,sK1)
| m1_subset_1(X0,sP0_iProver_def)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_1832,c_1805]) ).
cnf(c_1834,plain,
( ~ m1_subset_1(X0,sK1)
| m1_subset_1(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1833,c_758]) ).
cnf(c_1861,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(sP0_iProver_def))
| m1_subset_1(sK6(sK0,sK1),sP0_iProver_def)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_1791,c_1834]) ).
cnf(c_1862,plain,
m1_subset_1(sK6(sK0,sK1),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1861,c_758,c_1832]) ).
cnf(c_1933,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
| r2_hidden(sK6(sK0,X0),X0)
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1791,c_97]) ).
cnf(c_2182,plain,
( ~ m1_subset_1(sK6(sK0,sK1),sP0_iProver_def)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sP0_iProver_def))
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_1933,c_1377]) ).
cnf(c_2190,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2182,c_758,c_1832,c_1862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 18:01:47 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.43/1.12 % SZS status Started for theBenchmark.p
% 2.43/1.12 % SZS status Theorem for theBenchmark.p
% 2.43/1.12
% 2.43/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.43/1.12
% 2.43/1.12 ------ iProver source info
% 2.43/1.12
% 2.43/1.12 git: date: 2024-05-02 19:28:25 +0000
% 2.43/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.43/1.12 git: non_committed_changes: false
% 2.43/1.12
% 2.43/1.12 ------ Parsing...
% 2.43/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.43/1.12
% 2.43/1.12 ------ 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:16:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e
% 2.43/1.12
% 2.43/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.43/1.12
% 2.43/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.43/1.12 ------ Proving...
% 2.43/1.12 ------ Problem Properties
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12 clauses 39
% 2.43/1.12 conjectures 1
% 2.43/1.12 EPR 11
% 2.43/1.12 Horn 31
% 2.43/1.12 unary 22
% 2.43/1.12 binary 7
% 2.43/1.12 lits 68
% 2.43/1.12 lits eq 3
% 2.43/1.12 fd_pure 0
% 2.43/1.12 fd_pseudo 0
% 2.43/1.12 fd_cond 1
% 2.43/1.12 fd_pseudo_cond 1
% 2.43/1.12 AC symbols 0
% 2.43/1.12
% 2.43/1.12 ------ Schedule dynamic 5 is on
% 2.43/1.12
% 2.43/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12 ------
% 2.43/1.12 Current options:
% 2.43/1.12 ------
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12 ------ Proving...
% 2.43/1.12
% 2.43/1.12
% 2.43/1.12 % SZS status Theorem for theBenchmark.p
% 2.43/1.12
% 2.43/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/1.12
% 2.43/1.12
%------------------------------------------------------------------------------