%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:59:10 PM UTC 2026
% Result : Theorem 2.56s 1.48s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 91 ( 15 unt; 0 def)
% Number of atoms : 367 ( 15 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 439 ( 173 ~; 211 |; 37 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 16 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 132 !; 9 ?; 55 :)
% 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/sandbox/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,[status(cth)],[f1]) ).
fof(f11,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f49,plain,
? [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(ennf_transformation,[],[f2]) ).
fof(f50,plain,
? [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(flattening,[],[f49]) ).
fof(f57,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f59,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f60,plain,
! [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)) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f62,plain,
! [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) ) ) ),
inference(flattening,[],[f61]) ).
fof(f63,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,[],[f16]) ).
fof(f64,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,[],[f63]) ).
fof(f65,plain,
! [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) ),
inference(ennf_transformation,[],[f22]) ).
fof(f66,plain,
! [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) ),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [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) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
! [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) ) ),
inference(flattening,[],[f78]) ).
fof(f81,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f81]) ).
fof(f90,plain,
( l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0)
& m2_filter_2(sK1,sK0)
& ! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f50]) ).
fof(f95,plain,
! [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)
| m1_struct_0(sK6(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f66]) ).
fof(f106,plain,
! [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) )
& ( ~ m1_subset_1(X2,X1)
| m1_struct_0(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f107,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f108,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f109,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f110,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f111,plain,
! [X2] :
( ~ r2_hidden(X2,sK1)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f123,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f124,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f126,plain,
! [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)
| ~ m1_struct_0(X2,X0,X1)
| m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f127,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f128,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f129,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,[],[f64]) ).
fof(f134,plain,
! [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)
| m1_struct_0(sK6(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f153,plain,
! [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)
| ~ m1_struct_0(X2,X0,X1)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f157,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ r2_hidden(X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_50,negated_conjecture,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f110]) ).
tcf(c_51,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f109]) ).
tcf(c_52,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f108]) ).
tcf(c_53,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f107]) ).
tcf(c_63,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_65,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ m1_struct_0(X2,X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_69,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,[],[f129]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_struct_0(sK6(X1,X0),X1,X0)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_subset_1(X2,X0)
| ~ l1_struct_0(X1)
| ~ m1_struct_0(X2,X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_109,plain,
( l2_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_111,plain,
( l1_struct_0(sK0)
| ~ l2_lattices(sK0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_68]) ).
tcf(c_757,plain,
( v3_struct_0(sK0)
| m2_lattice4(sK1,sK0)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_756]) ).
tcf(c_758,plain,
m2_lattice4(sK1,sK0),
inference(global_subsumption_just,[status(thm)],[c_757,c_53,c_52,c_51,c_757]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_67]) ).
tcf(c_764,plain,
( v3_struct_0(sK0)
| ~ v1_xboole_0(sK1)
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_763]) ).
tcf(c_765,plain,
~ v1_xboole_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_764,c_53,c_52,c_51,c_764]) ).
tcf(c_845,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_69]) ).
tcf(c_846,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0)
| ~ m2_lattice4(X0,sK0) ),
inference(unflattening,[status(thm)],[c_845]) ).
tcf(c_848,plain,
! [X0: $i] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_846,c_53,c_51,c_846]) ).
tcf(c_849,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0) ),
inference(renaming,[status(thm)],[c_848]) ).
tcf(c_886,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ( sK0 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_758,c_849]) ).
tcf(c_887,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(unflattening,[status(thm)],[c_886]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v3_struct_0(X3)
| v3_struct_0(X2)
| m1_subset_1(X4,X0)
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ( X2 != X3 )
| ( X0 != X1 )
| ( sK6(X3,X1) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_74]) ).
tcf(c_924,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_subset_1(sK6(X1,X0),X0)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unflattening,[status(thm)],[c_923]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v3_struct_0(X3)
| v3_struct_0(X2)
| m1_subset_1(X4,u1_struct_0(X2))
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ( X2 != X3 )
| ( X0 != X1 )
| ( sK6(X3,X1) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_74]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_subset_1(sK6(X1,X0),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unflattening,[status(thm)],[c_941]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK6(X0,X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_942]) ).
tcf(c_997,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_996]) ).
tcf(c_999,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_997,c_53,c_109,c_111,c_997]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK6(X0,X1),X1)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_924]) ).
tcf(c_1012,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),X0)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_1011]) ).
tcf(c_1014,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_1012,c_53,c_109,c_111,c_1012]) ).
tcf(c_1383,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),X0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_1014]) ).
tcf(c_1384,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK0,X0),iPr_def_10)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_999]) ).
tcf(c_1389,plain,
m1_subset_1(sK1,iPr_def_11),
inference(demodulation,[status(thm)],[c_887]) ).
tcf(c_1394,plain,
~ v1_xboole_0(sK1),
inference(demodulation,[status(thm)],[c_765]) ).
tcf(c_1395,negated_conjecture,
! [X0: $i] :
( ~ r2_hidden(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_2094,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK6(sK0,X0),X0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_1383,c_97]) ).
tcf(c_2187,plain,
( v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,iPr_def_11)
| ~ m1_subset_1(sK6(sK0,sK1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2094,c_1395]) ).
tcf(c_2194,plain,
~ m1_subset_1(sK6(sK0,sK1),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2187,c_1394,c_1389]) ).
tcf(c_2196,plain,
( v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_1384,c_2194]) ).
tcf(c_2197,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2196,c_1394,c_1389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n009.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Wed Sep 23 20:55:59 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.60 Running first-order theorem proving
% 0.09/0.60 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.62
% 0.09/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62
% 0.09/0.62 % Detected problem language: tptp
% 0.14/0.63 % Proving...
% 2.56/1.48 % SZS status Started for theBenchmark.p
% 2.56/1.48 % SZS status Theorem for theBenchmark.p
% 2.56/1.48
% 2.56/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.56/1.48
% 2.56/1.48 % ------ iProver source info
% 2.56/1.48
% 2.56/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 2.56/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.56/1.48 % git: non_committed_changes: false
% 2.56/1.48
% 2.56/1.48 % ------ Parsing...
% 2.56/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.56/1.48
% 2.56/1.48 % ------ 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 %
% 2.56/1.48
% 2.56/1.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.56/1.48
% 2.56/1.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.56/1.48 % ------ Proving...
% 2.56/1.48 % ------ Problem Properties
% 2.56/1.48
% 2.56/1.48 %
% 2.56/1.48 % clauses 44
% 2.56/1.48 % conjectures 1
% 2.56/1.48 % EPR 21
% 2.56/1.48 % Horn 36
% 2.56/1.48 % unary 27
% 2.56/1.48 % binary 7
% 2.56/1.48 % lits 73
% 2.56/1.48 % lits eq 8
% 2.56/1.48 % fd_pure 0
% 2.56/1.48 % fd_pseudo 0
% 2.56/1.48 % fd_cond 1
% 2.56/1.48 % fd_pseudo_cond 1
% 2.56/1.48 % AC symbols 0
% 2.56/1.48
% 2.56/1.48 % ------ Schedule dynamic 5 is on
% 2.56/1.48
% 2.56/1.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.48
% 2.56/1.48
% 2.56/1.48 % ------
% 2.56/1.48 % Current options:
% 2.56/1.48 % ------
% 2.56/1.48
% 2.56/1.48
% 2.56/1.48 %
% 2.56/1.48
% 2.56/1.48 % ------ Proving...
% 2.56/1.48 %
% 2.56/1.48
% 2.56/1.48 % SZS status Theorem for theBenchmark.p
% 2.56/1.48
% 2.56/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.48
% 2.56/1.48
%------------------------------------------------------------------------------