%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT328+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 : Tue Sep 29 11:48:27 AM UTC 2026
% Result : Theorem 19.80s 4.21s
% Output : Refutation 19.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 20
% Syntax : Number of formulae : 210 ( 34 unt; 3 def)
% Number of atoms : 959 ( 77 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1329 ( 580 ~; 624 |; 87 &)
% ( 11 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 265 ( 258 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
fof(f14,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f17,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(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(f26,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f28,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f42,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f50,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_lattices(X0,X1,X2)
& r1_lattices(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f55,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_filter_2) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ~ r1_filter_2(u1_struct_0(X0),k22_filter_2(X0,X1,X1),k6_domain_1(u1_struct_0(X0),X1))
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f63]) ).
fof(f66,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f66]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
& m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f75,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f74]) ).
fof(f77,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f79]) ).
fof(f83,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f84,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f90,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f94]) ).
fof(f98,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f99,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f98]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
<=> ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f111]) ).
fof(f116,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1))
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f64]) ).
fof(f121,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK3(X0,X1) != X0
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| r2_hidden(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f122]) ).
fof(f128,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f26]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f93]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(nnf_transformation,[],[f95]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2) )
& ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X3,X2) )
| ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f144,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f145,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f146,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f116]) ).
fof(f147,plain,
~ r1_filter_2(u1_struct_0(sK0),k22_filter_2(sK0,sK1,sK1),k6_domain_1(u1_struct_0(sK0),sK1)),
inference(cnf_transformation,[],[f116]) ).
fof(f149,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f152,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f154,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f166,plain,
! [X0,X1] :
( r2_hidden(sK3(X0,X1),X1)
| sK3(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f167,plain,
! [X0,X1] :
( sK3(X0,X1) != X0
| k1_tarski(X0) = X1
| ~ r2_hidden(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f168,plain,
! [X2,X0,X1] :
( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f170,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f172,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f175,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f180,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f128]) ).
fof(f182,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f206,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ r1_lattices(X0,X2,X1)
| ~ r1_lattices(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
| r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,k22_filter_2(X0,X1,X2))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f228,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f206]) ).
fof(f229,definition,
sF19 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f230,plain,
u1_struct_0(sK0) = sF19,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF20 = k22_filter_2(sK0,sK1,sK1),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f232,plain,
k22_filter_2(sK0,sK1,sK1) = sF20,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF21 = k6_domain_1(sF19,sK1),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f234,plain,
k6_domain_1(sF19,sK1) = sF21,
inference(reorient_equations,[],[f233]) ).
fof(f235,plain,
~ r1_filter_2(sF19,sF20,sF21),
inference(definition_folding,[],[f147,f234,f230,f232,f230]) ).
fof(f236,plain,
m1_subset_1(sK1,sF19),
inference(definition_folding,[],[f146,f230]) ).
fof(f237,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f248,plain,
l2_lattices(sK0),
inference(resolution,[],[f173,f143]) ).
fof(f250,plain,
l1_struct_0(sK0),
inference(resolution,[],[f248,f172]) ).
fof(f267,plain,
( ~ v1_xboole_0(sF19)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f182,f230]) ).
fof(f268,plain,
( ~ v1_xboole_0(sF19)
| ~ l1_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f267,f145]) ).
fof(f269,plain,
~ v1_xboole_0(sF19),
inference(forward_subsumption_resolution,[],[f268,f250]) ).
fof(f276,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(resolution,[],[f149,f143]) ).
fof(f278,plain,
( ~ v10_lattices(sK0)
| v9_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f276,f145]) ).
fof(f279,plain,
v9_lattices(sK0),
inference(forward_subsumption_resolution,[],[f278,f144]) ).
fof(f280,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(resolution,[],[f150,f143]) ).
fof(f282,plain,
( ~ v10_lattices(sK0)
| v8_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f280,f145]) ).
fof(f283,plain,
v8_lattices(sK0),
inference(forward_subsumption_resolution,[],[f282,f144]) ).
fof(f288,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(resolution,[],[f152,f143]) ).
fof(f290,plain,
( ~ v10_lattices(sK0)
| v6_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f288,f145]) ).
fof(f291,plain,
v6_lattices(sK0),
inference(forward_subsumption_resolution,[],[f290,f144]) ).
fof(f296,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| v4_lattices(sK0) ),
inference(resolution,[],[f154,f143]) ).
fof(f298,plain,
( ~ v10_lattices(sK0)
| v4_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f296,f145]) ).
fof(f299,plain,
v4_lattices(sK0),
inference(forward_subsumption_resolution,[],[f298,f144]) ).
fof(f360,plain,
( m1_subset_1(sF21,k1_zfmisc_1(sF19))
| v1_xboole_0(sF19)
| ~ m1_subset_1(sK1,sF19) ),
inference(superposition,[],[f170,f234]) ).
fof(f362,plain,
( m1_subset_1(sF21,k1_zfmisc_1(sF19))
| ~ m1_subset_1(sK1,sF19) ),
inference(forward_subsumption_resolution,[],[f360,f269]) ).
fof(f364,plain,
m1_subset_1(sF21,k1_zfmisc_1(sF19)),
inference(forward_subsumption_resolution,[],[f362,f236]) ).
fof(f365,plain,
( v1_xboole_0(sF19)
| r1_filter_2(sF19,sF21,sF21) ),
inference(resolution,[],[f364,f237]) ).
fof(f370,plain,
r1_filter_2(sF19,sF21,sF21),
inference(forward_subsumption_resolution,[],[f365,f269]) ).
fof(f375,plain,
( v1_xboole_0(sF19)
| k6_domain_1(sF19,sK1) = k1_tarski(sK1) ),
inference(resolution,[],[f204,f236]) ).
fof(f387,plain,
k6_domain_1(sF19,sK1) = k1_tarski(sK1),
inference(forward_subsumption_resolution,[],[f375,f269]) ).
fof(f393,plain,
sF21 = k1_tarski(sK1),
inference(forward_demodulation,[],[f387,f234]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,u1_struct_0(X1)) ),
inference(resolution,[],[f175,f217]) ).
fof(f476,plain,
( m2_lattice4(sF20,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(superposition,[],[f168,f232]) ).
fof(f477,plain,
( m2_lattice4(sF20,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f478,plain,
( m2_lattice4(sF20,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f477,f145]) ).
fof(f479,plain,
( m2_lattice4(sF20,sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f478,f144]) ).
fof(f480,plain,
( m2_lattice4(sF20,sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f479,f143]) ).
fof(f481,plain,
( ~ m1_subset_1(sK1,sF19)
| m2_lattice4(sF20,sK0) ),
inference(forward_demodulation,[],[f480,f230]) ).
fof(f482,plain,
m2_lattice4(sF20,sK0),
inference(forward_subsumption_resolution,[],[f481,f236]) ).
fof(f485,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(superposition,[],[f211,f230]) ).
fof(f486,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f485,f145]) ).
fof(f487,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f486,f291]) ).
fof(f488,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f487,f283]) ).
fof(f489,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF19)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f488,f279]) ).
fof(f490,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF19)
| ~ m1_subset_1(X0,sF19)
| r3_lattices(sK0,X1,X1) ),
inference(forward_subsumption_resolution,[],[f489,f143]) ).
fof(f533,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f219,f232]) ).
fof(f534,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f535,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f534,f145]) ).
fof(f536,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f535,f144]) ).
fof(f537,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f536,f143]) ).
fof(f538,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f537,f230]) ).
fof(f539,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(forward_demodulation,[],[f538,f230]) ).
fof(f540,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,X0,sK1) ),
inference(forward_subsumption_resolution,[],[f539,f490]) ).
fof(f541,plain,
! [X0] :
( r3_lattices(sK0,X0,sK1)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f540,f236]) ).
fof(f554,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f220,f232]) ).
fof(f555,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f556,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f555,f145]) ).
fof(f557,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f556,f144]) ).
fof(f558,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f557,f143]) ).
fof(f559,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f558,f230]) ).
fof(f560,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(forward_demodulation,[],[f559,f230]) ).
fof(f561,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r3_lattices(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f560,f490]) ).
fof(f562,plain,
! [X0] :
( r3_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f561,f236]) ).
fof(f573,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f221,f232]) ).
fof(f574,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(duplicate_literal_removal,[],[f573]) ).
fof(f577,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f574,f145]) ).
fof(f578,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f577,f144]) ).
fof(f579,plain,
! [X0] :
( r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f578,f143]) ).
fof(f580,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f579,f230]) ).
fof(f581,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(forward_demodulation,[],[f580,f230]) ).
fof(f582,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| r2_hidden(X0,sF20)
| ~ r3_lattices(sK0,sK1,X0)
| ~ r3_lattices(sK0,X0,sK1) ),
inference(forward_subsumption_resolution,[],[f581,f490]) ).
fof(f583,plain,
! [X0] :
( ~ r3_lattices(sK0,sK1,X0)
| r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| ~ r3_lattices(sK0,X0,sK1) ),
inference(forward_subsumption_resolution,[],[f582,f236]) ).
fof(f587,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| r3_lattices(sK0,sK1,sK1) ),
inference(resolution,[],[f490,f236]) ).
fof(f600,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(resolution,[],[f541,f207]) ).
fof(f601,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f600,f145]) ).
fof(f602,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f601,f291]) ).
fof(f603,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f602,f283]) ).
fof(f604,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f603,f279]) ).
fof(f605,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f604,f143]) ).
fof(f606,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f605,f230]) ).
fof(f607,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,X0,sK1)
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f608,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| r1_lattices(sK0,X0,sK1) ),
inference(forward_demodulation,[],[f607,f230]) ).
fof(f609,plain,
! [X0] :
( r1_lattices(sK0,X0,sK1)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f608,f236]) ).
fof(f613,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f562,f207]) ).
fof(f614,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f613,f145]) ).
fof(f615,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f614,f291]) ).
fof(f616,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f615,f283]) ).
fof(f617,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f616,f279]) ).
fof(f618,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f617,f143]) ).
fof(f619,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f618,f230]) ).
fof(f620,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f619,f236]) ).
fof(f621,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| r1_lattices(sK0,sK1,X0) ),
inference(forward_demodulation,[],[f620,f230]) ).
fof(f622,plain,
! [X0] :
( r1_lattices(sK0,sK1,X0)
| ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19) ),
inference(duplicate_literal_removal,[],[f621]) ).
fof(f642,plain,
r3_lattices(sK0,sK1,sK1),
inference(resolution,[],[f587,f180]) ).
fof(f643,plain,
( r2_hidden(sK1,sF20)
| ~ m1_subset_1(sK1,sF19)
| ~ r3_lattices(sK0,sK1,sK1) ),
inference(resolution,[],[f642,f583]) ).
fof(f647,plain,
( r2_hidden(sK1,sF20)
| ~ m1_subset_1(sK1,sF19) ),
inference(forward_subsumption_resolution,[],[f643,f587]) ).
fof(f649,plain,
r2_hidden(sK1,sF20),
inference(forward_subsumption_resolution,[],[f647,f236]) ).
fof(f1054,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f405,f482]) ).
fof(f1058,plain,
! [X0] :
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1054,f145]) ).
fof(f1059,plain,
! [X0] :
( ~ l3_lattices(sK0)
| ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1058,f144]) ).
fof(f1060,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1059,f143]) ).
fof(f1061,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_subset_1(X0,sF19) ),
inference(forward_demodulation,[],[f1060,f230]) ).
fof(f1775,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| ~ r1_lattices(sK0,sK1,X0)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) ),
inference(resolution,[],[f609,f214]) ).
fof(f1776,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1775,f622]) ).
fof(f1777,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1776,f145]) ).
fof(f1778,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ l2_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1777,f299]) ).
fof(f1779,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ m1_subset_1(X0,sF19)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1778,f248]) ).
fof(f1780,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| sK1 = X0
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1779,f1061]) ).
fof(f1781,plain,
! [X0] :
( ~ m1_subset_1(X0,sF19)
| ~ r2_hidden(X0,sF20)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f1780,f230]) ).
fof(f1782,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| sK1 = X0
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1781,f1061]) ).
fof(f1783,plain,
! [X0] :
( ~ m1_subset_1(sK1,sF19)
| ~ r2_hidden(X0,sF20)
| sK1 = X0 ),
inference(forward_demodulation,[],[f1782,f230]) ).
fof(f1784,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f1783,f236]) ).
fof(f1795,plain,
! [X0] :
( sK3(X0,sF20) = X0
| sK1 = sK3(X0,sF20)
| k1_tarski(X0) = sF20 ),
inference(resolution,[],[f1784,f166]) ).
fof(f8914,plain,
! [X0] :
( sK1 != X0
| sK1 = sK3(X0,sF20)
| k1_tarski(X0) = sF20 ),
inference(equality_factoring,[],[f1795]) ).
fof(f8976,plain,
( sK1 = sK3(sK1,sF20)
| sF20 = k1_tarski(sK1) ),
inference(equality_resolution,[],[f8914]) ).
fof(f8977,plain,
( sK1 = sK3(sK1,sF20)
| sF20 = sF21 ),
inference(forward_demodulation,[],[f8976,f393]) ).
fof(f9031,plain,
( sK1 != sK1
| sF20 = k1_tarski(sK1)
| ~ r2_hidden(sK1,sF20)
| sF20 = sF21 ),
inference(superposition,[],[f167,f8977]) ).
fof(f9032,plain,
( sF20 = k1_tarski(sK1)
| ~ r2_hidden(sK1,sF20)
| sF20 = sF21 ),
inference(trivial_inequality_removal,[],[f9031]) ).
fof(f9033,plain,
( sF20 = k1_tarski(sK1)
| sF20 = sF21 ),
inference(forward_subsumption_resolution,[],[f9032,f649]) ).
fof(f9034,plain,
( sF20 = sF21
| sF20 = sF21 ),
inference(forward_demodulation,[],[f9033,f393]) ).
fof(f9035,plain,
sF20 = sF21,
inference(duplicate_literal_removal,[],[f9034]) ).
fof(f9091,plain,
~ r1_filter_2(sF19,sF20,sF20),
inference(superposition,[],[f235,f9035]) ).
fof(f9095,plain,
r1_filter_2(sF19,sF20,sF20),
inference(superposition,[],[f370,f9035]) ).
fof(f9184,plain,
$false,
inference(forward_subsumption_resolution,[],[f9091,f9095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT328+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:35:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.03/1.99 % (2635527)Will run a generic schedule for satisfiability detection.
% 8.03/1.99 % (2635538)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2865615899:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.03/1.99 % (2635533)% WARNING: option uhcvi not known.
% 8.03/1.99 % (2635533)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2620556239:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.03/1.99 % (2635532)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1253080602_2999 on theBenchmark for (2999ds/0Mi)
% 8.03/1.99 % (2635534)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2382546912:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.03/1.99 % (2635535)dis+10_1_sil=32000:sp=arity:random_seed=626827977:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.03/1.99 % (2635536)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=973824293:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.03/1.99 % (2635537)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2815544754:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.99 % TRYING [1]
% 8.03/1.99 % TRYING [2]
% 8.03/1.99 % TRYING [3]
% 8.03/1.99 % TRYING [4]
% 8.03/1.99 % TRYING [5]
% 8.03/1.99 % (2635538)Instruction limit reached!
% 8.03/1.99 % (2635538)------------------------------
% 8.03/1.99 % (2635538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.99 % (2635538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.99 % (2635538)CaDiCaL version: 2.1.3
% 8.03/1.99 % (2635538)Termination reason: Instruction limit
% 8.03/1.99 % (2635538)Termination phase: Saturation
% 8.03/1.99 % (2635538)Time elapsed: 0.061 s
% 8.03/1.99 % (2635538)Peak memory usage: 14 MB
% 8.03/1.99 % (2635538)Instructions burned: 159 (million)
% 8.03/1.99 % TRYING [6]
% 8.03/1.99 % (2635546)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4208182725:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.03/1.99 % TRYING [1]
% 8.03/1.99 % TRYING [2]
% 8.03/1.99 % TRYING [3]
% 8.03/1.99 % (2635536)Instruction limit reached!
% 8.03/1.99 % (2635536)------------------------------
% 8.03/1.99 % (2635536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.99 % (2635536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.99 % (2635536)CaDiCaL version: 2.1.3
% 8.03/1.99 % (2635536)Termination reason: Instruction limit
% 8.03/1.99 % (2635536)Termination phase: Saturation
% 8.03/1.99 % (2635536)Time elapsed: 0.069 s
% 8.03/1.99 % (2635536)Peak memory usage: 13 MB
% 8.03/1.99 % (2635536)Instructions burned: 116 (million)
% 8.03/1.99 % (2635535)Instruction limit reached!
% 8.03/1.99 % (2635535)------------------------------
% 8.03/1.99 % (2635535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.99 % (2635535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.99 % (2635535)CaDiCaL version: 2.1.3
% 8.03/1.99 % (2635535)Termination reason: Instruction limit
% 8.03/1.99 % (2635535)Termination phase: Saturation
% 8.03/1.99 % (2635535)Time elapsed: 0.070 s
% 8.03/1.99 % (2635535)Peak memory usage: 12 MB
% 8.03/1.99 % (2635535)Instructions burned: 103 (million)
% 8.03/1.99 % TRYING [4]
% 8.03/1.99 % TRYING [5]
% 8.03/1.99 % (2635537)Instruction limit reached!
% 8.03/1.99 % (2635537)------------------------------
% 8.03/1.99 % (2635537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.99 % (2635537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.99 % (2635537)CaDiCaL version: 2.1.3
% 8.03/1.99 % (2635537)Termination reason: Instruction limit
% 8.03/1.99 % (2635537)Termination phase: Saturation
% 8.03/1.99 % (2635537)Time elapsed: 0.085 s
% 8.03/1.99 % (2635537)Peak memory usage: 13 MB
% 8.03/1.99 % (2635537)Instructions burned: 132 (million)
% 8.03/1.99 % (2635549)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2480728974:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.03/1.99 % (2635548)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3494359469:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.99 % TRYING [6]
% 8.03/1.99 % (2635550)ott-21_1_sil=16000:fs=off:random_seed=2686991778:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.03/1.99 % TRYING [7]
% 8.03/1.99 % TRYING [7]
% 8.03/1.99 % (2635548)Instruction limit reached!
% 8.03/1.99 % (2635548)------------------------------
% 8.03/1.99 % (2635548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635548)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635548)Termination reason: Instruction limit
% 19.80/4.21 % (2635548)Termination phase: Saturation
% 19.80/4.21 % (2635548)Time elapsed: 0.087 s
% 19.80/4.21 % (2635548)Peak memory usage: 13 MB
% 19.80/4.21 % (2635548)Instructions burned: 132 (million)
% 19.80/4.21 % (2635554)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2316935926:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.80/4.21 % (2635550)Instruction limit reached!
% 19.80/4.21 % (2635550)------------------------------
% 19.80/4.21 % (2635550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635550)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635550)Termination reason: Instruction limit
% 19.80/4.21 % (2635550)Termination phase: Saturation
% 19.80/4.21 % (2635550)Time elapsed: 0.095 s
% 19.80/4.21 % (2635550)Peak memory usage: 13 MB
% 19.80/4.21 % (2635550)Instructions burned: 181 (million)
% 19.80/4.21 % (2635546)Instruction limit reached!
% 19.80/4.21 % (2635546)------------------------------
% 19.80/4.21 % (2635546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635546)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635546)Termination reason: Instruction limit
% 19.80/4.21 % (2635546)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635546)Time elapsed: 0.147 s
% 19.80/4.21 % (2635546)Peak memory usage: 25 MB
% 19.80/4.21 % (2635546)Instructions burned: 717 (million)
% 19.80/4.21 % (2635556)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=483119489:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.80/4.21 % (2635557)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1074932044:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 19.80/4.21 % TRYING [1]
% 19.80/4.21 % TRYING [2]
% 19.80/4.21 % TRYING [3]
% 19.80/4.21 % TRYING [4]
% 19.80/4.21 % TRYING [8]
% 19.80/4.21 % TRYING [5]
% 19.80/4.21 % TRYING [6]
% 19.80/4.21 % (2635549)Instruction limit reached!
% 19.80/4.21 % (2635549)------------------------------
% 19.80/4.21 % (2635549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635549)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635549)Termination reason: Instruction limit
% 19.80/4.21 % (2635549)Termination phase: Saturation
% 19.80/4.21 % (2635549)Time elapsed: 0.365 s
% 19.80/4.21 % (2635549)Peak memory usage: 16 MB
% 19.80/4.21 % (2635549)Instructions burned: 685 (million)
% 19.80/4.21 % (2635560)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1648351382:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 19.80/4.21 % (2635554)Instruction limit reached!
% 19.80/4.21 % (2635554)------------------------------
% 19.80/4.21 % (2635554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635554)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635554)Termination reason: Instruction limit
% 19.80/4.21 % (2635554)Termination phase: Saturation
% 19.80/4.21 % (2635554)Time elapsed: 0.295 s
% 19.80/4.21 % (2635554)Peak memory usage: 14 MB
% 19.80/4.21 % (2635554)Instructions burned: 478 (million)
% 19.80/4.21 % (2635562)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2072728644:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 19.80/4.21 % TRYING [7]
% 19.80/4.21 % TRYING [14]
% 19.80/4.21 % (2635557)Instruction limit reached!
% 19.80/4.21 % (2635557)------------------------------
% 19.80/4.21 % (2635557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635557)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635557)Termination reason: Instruction limit
% 19.80/4.21 % (2635557)Termination phase: Saturation
% 19.80/4.21 % (2635557)Time elapsed: 0.317 s
% 19.80/4.21 % (2635557)Peak memory usage: 17 MB
% 19.80/4.21 % (2635557)Instructions burned: 1179 (million)
% 19.80/4.21 % (2635556)Instruction limit reached!
% 19.80/4.21 % (2635556)------------------------------
% 19.80/4.21 % (2635556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635556)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635556)Termination reason: Instruction limit
% 19.80/4.21 % (2635556)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635556)Time elapsed: 0.327 s
% 19.80/4.21 % (2635556)Peak memory usage: 20 MB
% 19.80/4.21 % (2635556)Instructions burned: 867 (million)
% 19.80/4.21 % (2635564)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1244467730:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 19.80/4.21 % (2635565)fmb+10_1_sil=64000:random_seed=1923289815:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 19.80/4.21 % TRYING [1]
% 19.80/4.21 % TRYING [2]
% 19.80/4.21 % TRYING [3]
% 19.80/4.21 % TRYING [4]
% 19.80/4.21 % TRYING [9]
% 19.80/4.21 % TRYING [5]
% 19.80/4.21 % TRYING [6]
% 19.80/4.21 % (2635560)Instruction limit reached!
% 19.80/4.21 % (2635560)------------------------------
% 19.80/4.21 % (2635560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635560)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635560)Termination reason: Instruction limit
% 19.80/4.21 % (2635560)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635560)Time elapsed: 0.300 s
% 19.80/4.21 % (2635560)Peak memory usage: 57 MB
% 19.80/4.21 % (2635560)Instructions burned: 891 (million)
% 19.80/4.21 % (2635568)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2726979913:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 19.80/4.21 % TRYING [20]
% 19.80/4.21 % TRYING [7]
% 19.80/4.21 % (2635564)Instruction limit reached!
% 19.80/4.21 % (2635564)------------------------------
% 19.80/4.21 % (2635564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635564)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635564)Termination reason: Instruction limit
% 19.80/4.21 % (2635564)Termination phase: Saturation
% 19.80/4.21 % (2635564)Time elapsed: 0.279 s
% 19.80/4.21 % (2635564)Peak memory usage: 18 MB
% 19.80/4.21 % (2635564)Instructions burned: 882 (million)
% 19.80/4.21 % (2635570)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=674653628:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 19.80/4.21 % TRYING [8]
% 19.80/4.21 % (2635562)Instruction limit reached!
% 19.80/4.21 % (2635562)------------------------------
% 19.80/4.21 % (2635562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635562)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635562)Termination reason: Instruction limit
% 19.80/4.21 % (2635562)Termination phase: Saturation
% 19.80/4.21 % (2635562)Time elapsed: 0.422 s
% 19.80/4.21 % (2635562)Peak memory usage: 21 MB
% 19.80/4.21 % (2635562)Instructions burned: 692 (million)
% 19.80/4.21 % (2635572)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1447365849:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 19.80/4.21 % TRYING [9]
% 19.80/4.21 % (2635570)Instruction limit reached!
% 19.80/4.21 % (2635570)------------------------------
% 19.80/4.21 % (2635570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635570)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635570)Termination reason: Instruction limit
% 19.80/4.21 % (2635570)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635570)Time elapsed: 0.220 s
% 19.80/4.21 % (2635570)Peak memory usage: 46 MB
% 19.80/4.21 % (2635570)Instructions burned: 924 (million)
% 19.80/4.21 % (2635574)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=508024957:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 19.80/4.21 % TRYING [8]
% 19.80/4.21 % TRYING [9]
% 19.80/4.21 % (2635574)Instruction limit reached!
% 19.80/4.21 % (2635574)------------------------------
% 19.80/4.21 % (2635574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635574)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635574)Termination reason: Instruction limit
% 19.80/4.21 % (2635574)Termination phase: Saturation
% 19.80/4.21 % (2635574)Time elapsed: 0.462 s
% 19.80/4.21 % (2635574)Peak memory usage: 28 MB
% 19.80/4.21 % (2635574)Instructions burned: 1473 (million)
% 19.80/4.21 % (2635576)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2012580148:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 19.80/4.21 % TRYING [77]
% 19.80/4.21 % TRYING [10]
% 19.80/4.21 % (2635576)Instruction limit reached!
% 19.80/4.21 % (2635576)------------------------------
% 19.80/4.21 % (2635576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635576)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635576)Termination reason: Instruction limit
% 19.80/4.21 % (2635576)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635576)Time elapsed: 1.125 s
% 19.80/4.21 % (2635576)Peak memory usage: 340 MB
% 19.80/4.21 % (2635576)Instructions burned: 6327 (million)
% 19.80/4.21 % (2635578)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=941939203:fmbsr=2.30978:i=2174_2972 on theBenchmark for (2972ds/2174Mi)
% 19.80/4.21 % TRYING [16]
% 19.80/4.21 % (2635578)Instruction limit reached!
% 19.80/4.21 % (2635578)------------------------------
% 19.80/4.21 % (2635578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635578)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635578)Termination reason: Instruction limit
% 19.80/4.21 % (2635578)Termination phase: Finite model building constraint generation
% 19.80/4.21 % (2635578)Time elapsed: 0.401 s
% 19.80/4.21 % (2635578)Peak memory usage: 133 MB
% 19.80/4.21 % (2635578)Instructions burned: 2175 (million)
% 19.80/4.21 % (2635580)ott-2_1_sil=16000:newcnf=on:random_seed=3426030362:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 19.80/4.21 % TRYING [10]
% 19.80/4.21 % (2635580)Instruction limit reached!
% 19.80/4.21 % (2635580)------------------------------
% 19.80/4.21 % (2635580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.21 % (2635580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.21 % (2635580)CaDiCaL version: 2.1.3
% 19.80/4.21 % (2635580)Termination reason: Instruction limit
% 19.80/4.21 % (2635580)Termination phase: Saturation
% 19.80/4.21 % (2635580)Time elapsed: 0.283 s
% 19.80/4.21 % (2635580)Peak memory usage: 17 MB
% 19.80/4.21 % (2635580)Instructions burned: 871 (million)
% 19.80/4.21 % (2635582)ott+10_1_sil=32000:tgt=ground:random_seed=1740607506:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 19.80/4.21 % (2635582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2635527-2635582"...
% 19.80/4.21 % (2635582)...printing done.
% 19.80/4.21 % (2635582)Refutation found. Thanks to Tanya!
% 19.80/4.21 % SZS status Theorem for theBenchmark
% 19.80/4.21 % SZS output start Proof for theBenchmark
% See solution above
% 19.80/4.22 % (2635582)------------------------------
% 19.80/4.22 % (2635582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/4.22 % (2635582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.22 % (2635582)CaDiCaL version: 2.1.3
% 19.80/4.22 % (2635582)Termination reason: Refutation
% 19.80/4.22 % (2635582)Time elapsed: 0.254 s
% 19.80/4.22 % (2635582)Peak memory usage: 19 MB
% 19.80/4.22 % (2635582)Instructions burned: 809 (million)
% 19.80/4.22 % (2635527)Success in time 3.791 s
% 19.80/4.22 % Vampire exiting
%------------------------------------------------------------------------------