%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT332+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 : n026.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 11:48:28 AM UTC 2026
% Result : Theorem 17.57s 4.60s
% Output : Refutation 17.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 32
% Syntax : Number of formulae : 219 ( 74 unt; 10 def)
% Number of atoms : 707 ( 135 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 755 ( 267 ~; 285 |; 166 &)
% ( 7 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 9 con; 0-3 aty)
% Number of variables : 190 ( 176 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,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(f10,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( m2_nat_lat(X2,X0)
=> ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_filter_2) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f13,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_realset1) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f23,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(f30,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f33,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f40,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f56,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(f59,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f84,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f87,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f94,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f100,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k7_relat_1(X1,X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_relat_1) ).
fof(f106,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0)) ) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f107,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0)) ) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f108,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f112,plain,
? [X0] :
( ( k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( ( k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f118,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,[],[f6]) ).
fof(f119,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,[],[f118]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f125]) ).
fof(f129,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f130,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f132,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f133,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f132]) ).
fof(f140,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f141,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f143,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f148,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f149,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f152]) ).
fof(f161,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f162,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f174,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f177,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f176]) ).
fof(f186,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f187,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f186]) ).
fof(f203,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f204,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f224,plain,
! [X0,X1] :
( k7_relat_1(X1,X0) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f225,plain,
! [X0,X1] :
( k7_relat_1(X1,X0) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f224]) ).
fof(f226,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f227,definition,
! [X2,X0,X1] :
( ( X2 = k23_filter_2(X0,X1)
<=> sP0(X1,X0,X2) )
| ~ sP1(X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f126,f227,f226]) ).
fof(f233,plain,
( ( k23_filter_2(sK4,k17_filter_2(sK4)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
| g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k1_filter_2(sK4)) )
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& l3_lattices(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f113]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ( ( X2 = k23_filter_2(X0,X1)
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| k23_filter_2(X0,X1) != X2 ) )
| ~ sP1(X2,X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ( ( k23_filter_2(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| k23_filter_2(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| k1_realset1(u2_lattices(X1),X0) != X3
| k1_realset1(u1_lattices(X1),X0) != X4
| g3_lattices(X0,X3,X4) != X2 ) ) )
& ( ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X5,k2_zfmisc_1(X0,X0),X0)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& k1_realset1(u2_lattices(X1),X0) = X5
& k1_realset1(u1_lattices(X1),X0) = X6
& g3_lattices(X0,X5,X6) = X2 ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f236]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| k1_realset1(u2_lattices(X1),X0) != X3
| k1_realset1(u1_lattices(X1),X0) != X4
| g3_lattices(X0,X3,X4) != X2 ) ) )
& ( ( v1_funct_1(sK5(X0,X1,X2))
& v1_funct_2(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK6(X0,X1,X2))
& v1_funct_2(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& k1_realset1(u2_lattices(X1),X0) = sK5(X0,X1,X2)
& k1_realset1(u1_lattices(X1),X0) = sK6(X0,X1,X2)
& g3_lattices(X0,sK5(X0,X1,X2),sK6(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X5,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2))],[f237]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f272,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f273,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f274,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f275,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f276,plain,
( k23_filter_2(sK4,k17_filter_2(sK4)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
| g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k1_filter_2(sK4)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f283,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f285,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f292,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| k23_filter_2(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK5(X0,X1,X2),sK6(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f238]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK6(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK5(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f304,plain,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
| ~ m2_nat_lat(X2,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f311,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f312,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f313,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f318,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f319,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f320,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f324,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f325,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f326,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f329,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f338,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f341,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f357,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f362,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f374,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f437,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f205]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f451,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f458,plain,
! [X0,X1] :
( ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f459,plain,
! [X2,X1] :
( ~ sP1(k23_filter_2(X1,X2),X1,X2)
| sP0(X2,X1,k23_filter_2(X1,X2)) ),
inference(equality_resolution,[],[f292]) ).
fof(f469,definition,
sF33 = k17_filter_2(sK4),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f470,plain,
k17_filter_2(sK4) = sF33,
inference(reorient_equations,[],[f469]) ).
fof(f471,definition,
sF34 = k23_filter_2(sK4,sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f472,plain,
k23_filter_2(sK4,sF33) = sF34,
inference(reorient_equations,[],[f471]) ).
fof(f473,definition,
sF35 = u1_struct_0(sK4),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f474,plain,
u1_struct_0(sK4) = sF35,
inference(reorient_equations,[],[f473]) ).
fof(f475,definition,
sF36 = u2_lattices(sK4),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f476,plain,
u2_lattices(sK4) = sF36,
inference(reorient_equations,[],[f475]) ).
fof(f477,definition,
sF37 = u1_lattices(sK4),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f478,plain,
u1_lattices(sK4) = sF37,
inference(reorient_equations,[],[f477]) ).
fof(f479,definition,
sF38 = g3_lattices(sF35,sF36,sF37),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f480,plain,
g3_lattices(sF35,sF36,sF37) = sF38,
inference(reorient_equations,[],[f479]) ).
fof(f481,definition,
sF39 = k1_filter_2(sK4),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f482,plain,
k1_filter_2(sK4) = sF39,
inference(reorient_equations,[],[f481]) ).
fof(f483,definition,
sF40 = k23_filter_2(sK4,sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f484,plain,
k23_filter_2(sK4,sF39) = sF40,
inference(reorient_equations,[],[f483]) ).
fof(f485,plain,
( sF38 != sF40
| sF34 != sF38 ),
inference(definition_folding,[],[f276,f484,f482,f480,f478,f476,f474,f480,f478,f476,f474,f472,f470]) ).
fof(f493,plain,
l2_lattices(sK4),
inference(resolution,[],[f325,f273]) ).
fof(f498,plain,
l1_struct_0(sK4),
inference(resolution,[],[f493,f324]) ).
fof(f499,plain,
l1_lattices(sK4),
inference(resolution,[],[f326,f273]) ).
fof(f529,plain,
( ~ v1_xboole_0(sF35)
| v3_struct_0(sK4)
| ~ l1_struct_0(sK4) ),
inference(superposition,[],[f357,f474]) ).
fof(f530,plain,
( ~ v1_xboole_0(sF35)
| ~ l1_struct_0(sK4) ),
inference(forward_subsumption_resolution,[],[f529,f275]) ).
fof(f531,plain,
~ v1_xboole_0(sF35),
inference(forward_subsumption_resolution,[],[f530,f498]) ).
fof(f587,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| v6_lattices(sK4) ),
inference(resolution,[],[f283,f273]) ).
fof(f593,plain,
( ~ v10_lattices(sK4)
| v6_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f587,f275]) ).
fof(f594,plain,
v6_lattices(sK4),
inference(forward_subsumption_resolution,[],[f593,f274]) ).
fof(f603,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| v4_lattices(sK4) ),
inference(resolution,[],[f285,f273]) ).
fof(f609,plain,
( ~ v10_lattices(sK4)
| v4_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f603,f275]) ).
fof(f610,plain,
v4_lattices(sK4),
inference(forward_subsumption_resolution,[],[f609,f274]) ).
fof(f643,plain,
( v1_relat_1(sF36)
| v3_struct_0(sK4)
| ~ v4_lattices(sK4)
| ~ l2_lattices(sK4) ),
inference(superposition,[],[f362,f476]) ).
fof(f644,plain,
( v1_relat_1(sF36)
| ~ v4_lattices(sK4)
| ~ l2_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f643,f275]) ).
fof(f645,plain,
( v1_relat_1(sF36)
| ~ l2_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f644,f610]) ).
fof(f646,plain,
v1_relat_1(sF36),
inference(forward_subsumption_resolution,[],[f645,f493]) ).
fof(f650,plain,
( v1_relat_1(sF37)
| v3_struct_0(sK4)
| ~ v6_lattices(sK4)
| ~ l1_lattices(sK4) ),
inference(superposition,[],[f374,f478]) ).
fof(f651,plain,
( v1_relat_1(sF37)
| ~ v6_lattices(sK4)
| ~ l1_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f650,f275]) ).
fof(f652,plain,
( v1_relat_1(sF37)
| ~ l1_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f651,f594]) ).
fof(f653,plain,
v1_relat_1(sF37),
inference(forward_subsumption_resolution,[],[f652,f499]) ).
fof(f710,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| u1_struct_0(sK4) = k1_filter_0(sK4) ),
inference(resolution,[],[f311,f273]) ).
fof(f717,plain,
( ~ v10_lattices(sK4)
| u1_struct_0(sK4) = k1_filter_0(sK4) ),
inference(forward_subsumption_resolution,[],[f710,f275]) ).
fof(f719,plain,
u1_struct_0(sK4) = k1_filter_0(sK4),
inference(forward_subsumption_resolution,[],[f717,f274]) ).
fof(f720,plain,
sF35 = k1_filter_0(sK4),
inference(forward_demodulation,[],[f719,f474]) ).
fof(f737,plain,
! [X0] : k1_realset1(sF36,X0) = k7_relat_1(sF36,k2_zfmisc_1(X0,X0)),
inference(resolution,[],[f312,f646]) ).
fof(f738,plain,
! [X0] : k1_realset1(sF37,X0) = k7_relat_1(sF37,k2_zfmisc_1(X0,X0)),
inference(resolution,[],[f312,f653]) ).
fof(f740,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| k17_filter_2(sK4) = u1_struct_0(sK4) ),
inference(resolution,[],[f313,f273]) ).
fof(f747,plain,
( ~ v10_lattices(sK4)
| k17_filter_2(sK4) = u1_struct_0(sK4) ),
inference(forward_subsumption_resolution,[],[f740,f275]) ).
fof(f749,plain,
k17_filter_2(sK4) = u1_struct_0(sK4),
inference(forward_subsumption_resolution,[],[f747,f274]) ).
fof(f750,plain,
k17_filter_2(sK4) = sF35,
inference(forward_demodulation,[],[f749,f474]) ).
fof(f751,plain,
sF33 = sF35,
inference(forward_demodulation,[],[f750,f470]) ).
fof(f752,plain,
sF38 = g3_lattices(sF33,sF36,sF37),
inference(superposition,[],[f480,f751]) ).
fof(f753,plain,
~ v1_xboole_0(sF33),
inference(superposition,[],[f531,f751]) ).
fof(f761,plain,
! [X2,X0,X1] :
( r1_tarski(k4_relset_1(X1,X2,X0),X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(resolution,[],[f320,f451]) ).
fof(f804,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| k1_filter_2(sK4) = k1_filter_0(sK4) ),
inference(resolution,[],[f437,f273]) ).
fof(f811,plain,
( ~ v10_lattices(sK4)
| k1_filter_2(sK4) = k1_filter_0(sK4) ),
inference(forward_subsumption_resolution,[],[f804,f275]) ).
fof(f813,plain,
k1_filter_2(sK4) = k1_filter_0(sK4),
inference(forward_subsumption_resolution,[],[f811,f274]) ).
fof(f815,plain,
k1_filter_2(sK4) = sF35,
inference(forward_demodulation,[],[f813,f720]) ).
fof(f816,plain,
k1_filter_2(sK4) = sF33,
inference(forward_demodulation,[],[f815,f751]) ).
fof(f818,plain,
sF33 = sF39,
inference(superposition,[],[f482,f816]) ).
fof(f819,plain,
( m1_filter_2(sF33,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(superposition,[],[f318,f816]) ).
fof(f820,plain,
( m1_filter_2(sF33,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f819,f275]) ).
fof(f821,plain,
( m1_filter_2(sF33,sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f820,f274]) ).
fof(f822,plain,
m1_filter_2(sF33,sK4),
inference(forward_subsumption_resolution,[],[f821,f273]) ).
fof(f824,plain,
k23_filter_2(sK4,sF33) = sF40,
inference(superposition,[],[f484,f818]) ).
fof(f836,plain,
sF34 = sF40,
inference(forward_demodulation,[],[f824,f472]) ).
fof(f839,plain,
( sF34 != sF38
| sF34 != sF38 ),
inference(superposition,[],[f485,f836]) ).
fof(f840,plain,
sF34 != sF38,
inference(duplicate_literal_removal,[],[f839]) ).
fof(f844,plain,
( m2_lattice4(sF33,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(resolution,[],[f329,f822]) ).
fof(f849,plain,
( m2_lattice4(sF33,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f844,f275]) ).
fof(f851,plain,
( m2_lattice4(sF33,sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f849,f274]) ).
fof(f853,plain,
m2_lattice4(sF33,sK4),
inference(forward_subsumption_resolution,[],[f851,f273]) ).
fof(f862,plain,
( m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(sF35,sF35),sF35)
| ~ l1_lattices(sK4) ),
inference(superposition,[],[f338,f474]) ).
fof(f863,plain,
m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(sF35,sF35),sF35),
inference(forward_subsumption_resolution,[],[f862,f499]) ).
fof(f865,plain,
m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(sF33,sF33),sF33),
inference(forward_demodulation,[],[f863,f751]) ).
fof(f867,plain,
m2_relset_1(sF37,k2_zfmisc_1(sF33,sF33),sF33),
inference(forward_demodulation,[],[f865,f478]) ).
fof(f879,plain,
( m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(sF35,sF35),sF35)
| ~ l2_lattices(sK4) ),
inference(superposition,[],[f341,f474]) ).
fof(f880,plain,
m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(sF35,sF35),sF35),
inference(forward_subsumption_resolution,[],[f879,f493]) ).
fof(f882,plain,
m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(sF33,sF33),sF33),
inference(forward_demodulation,[],[f880,f751]) ).
fof(f884,plain,
m2_relset_1(sF36,k2_zfmisc_1(sF33,sF33),sF33),
inference(forward_demodulation,[],[f882,f476]) ).
fof(f914,plain,
( ~ sP1(sF34,sK4,sF33)
| sP0(sF33,sK4,sF34) ),
inference(superposition,[],[f459,f472]) ).
fof(f928,plain,
m1_relset_1(sF37,k2_zfmisc_1(sF33,sF33),sF33),
inference(resolution,[],[f867,f442]) ).
fof(f930,plain,
m1_relset_1(sF36,k2_zfmisc_1(sF33,sF33),sF33),
inference(resolution,[],[f884,f442]) ).
fof(f935,plain,
k4_relset_1(k2_zfmisc_1(sF33,sF33),sF33,sF37) = k1_relat_1(sF37),
inference(resolution,[],[f928,f438]) ).
fof(f949,plain,
k4_relset_1(k2_zfmisc_1(sF33,sF33),sF33,sF36) = k1_relat_1(sF36),
inference(resolution,[],[f930,f438]) ).
fof(f1023,plain,
( m2_nat_lat(sF34,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4) ),
inference(superposition,[],[f319,f472]) ).
fof(f1029,plain,
( m2_nat_lat(sF34,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4) ),
inference(forward_subsumption_resolution,[],[f1023,f275]) ).
fof(f1031,plain,
( m2_nat_lat(sF34,sK4)
| ~ l3_lattices(sK4)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4) ),
inference(forward_subsumption_resolution,[],[f1029,f274]) ).
fof(f1033,plain,
( m2_nat_lat(sF34,sK4)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4) ),
inference(forward_subsumption_resolution,[],[f1031,f273]) ).
fof(f1035,plain,
( m2_nat_lat(sF34,sK4)
| ~ m2_lattice4(sF33,sK4) ),
inference(forward_subsumption_resolution,[],[f1033,f753]) ).
fof(f1037,plain,
m2_nat_lat(sF34,sK4),
inference(forward_subsumption_resolution,[],[f1035,f853]) ).
fof(f1431,plain,
( sP0(sF33,sK4,sF34)
| ~ m2_nat_lat(sF34,sK4)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(resolution,[],[f914,f304]) ).
fof(f1432,plain,
( sP0(sF33,sK4,sF34)
| v1_xboole_0(sF33)
| ~ m2_lattice4(sF33,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f1431,f1037]) ).
fof(f1433,plain,
( sP0(sF33,sK4,sF34)
| ~ m2_lattice4(sF33,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f1432,f753]) ).
fof(f1434,plain,
( sP0(sF33,sK4,sF34)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f1433,f853]) ).
fof(f1435,plain,
( sP0(sF33,sK4,sF34)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f1434,f275]) ).
fof(f1436,plain,
( sP0(sF33,sK4,sF34)
| ~ l3_lattices(sK4) ),
inference(forward_subsumption_resolution,[],[f1435,f274]) ).
fof(f1437,plain,
sP0(sF33,sK4,sF34),
inference(forward_subsumption_resolution,[],[f1436,f273]) ).
fof(f1438,plain,
sF34 = g3_lattices(sF33,sK5(sF33,sK4,sF34),sK6(sF33,sK4,sF34)),
inference(resolution,[],[f1437,f294]) ).
fof(f1439,plain,
sK5(sF33,sK4,sF34) = k1_realset1(u2_lattices(sK4),sF33),
inference(resolution,[],[f1437,f296]) ).
fof(f1440,plain,
sK6(sF33,sK4,sF34) = k1_realset1(u1_lattices(sK4),sF33),
inference(resolution,[],[f1437,f295]) ).
fof(f1441,plain,
sK6(sF33,sK4,sF34) = k1_realset1(sF37,sF33),
inference(forward_demodulation,[],[f1440,f478]) ).
fof(f1442,plain,
sK5(sF33,sK4,sF34) = k1_realset1(sF36,sF33),
inference(forward_demodulation,[],[f1439,f476]) ).
fof(f2143,plain,
( r1_tarski(k1_relat_1(sF37),k2_zfmisc_1(sF33,sF33))
| ~ m1_relset_1(sF37,k2_zfmisc_1(sF33,sF33),sF33) ),
inference(superposition,[],[f761,f935]) ).
fof(f2147,plain,
r1_tarski(k1_relat_1(sF37),k2_zfmisc_1(sF33,sF33)),
inference(forward_subsumption_resolution,[],[f2143,f928]) ).
fof(f2155,plain,
( sF37 = k7_relat_1(sF37,k2_zfmisc_1(sF33,sF33))
| ~ v1_relat_1(sF37) ),
inference(resolution,[],[f2147,f458]) ).
fof(f2162,plain,
sF37 = k7_relat_1(sF37,k2_zfmisc_1(sF33,sF33)),
inference(forward_subsumption_resolution,[],[f2155,f653]) ).
fof(f2163,plain,
sF37 = k1_realset1(sF37,sF33),
inference(forward_demodulation,[],[f2162,f738]) ).
fof(f2342,plain,
( r1_tarski(k1_relat_1(sF36),k2_zfmisc_1(sF33,sF33))
| ~ m1_relset_1(sF36,k2_zfmisc_1(sF33,sF33),sF33) ),
inference(superposition,[],[f761,f949]) ).
fof(f2346,plain,
r1_tarski(k1_relat_1(sF36),k2_zfmisc_1(sF33,sF33)),
inference(forward_subsumption_resolution,[],[f2342,f930]) ).
fof(f2371,plain,
( sF36 = k7_relat_1(sF36,k2_zfmisc_1(sF33,sF33))
| ~ v1_relat_1(sF36) ),
inference(resolution,[],[f2346,f458]) ).
fof(f2377,plain,
sF36 = k7_relat_1(sF36,k2_zfmisc_1(sF33,sF33)),
inference(forward_subsumption_resolution,[],[f2371,f646]) ).
fof(f2378,plain,
sF36 = k1_realset1(sF36,sF33),
inference(forward_demodulation,[],[f2377,f737]) ).
fof(f5642,plain,
sF34 = g3_lattices(sF33,sK5(sF33,sK4,sF34),k1_realset1(sF37,sF33)),
inference(superposition,[],[f1438,f1441]) ).
fof(f5656,plain,
sF34 = g3_lattices(sF33,sK5(sF33,sK4,sF34),sF37),
inference(forward_demodulation,[],[f5642,f2163]) ).
fof(f5663,plain,
sF34 = g3_lattices(sF33,k1_realset1(sF36,sF33),sF37),
inference(forward_demodulation,[],[f5656,f1442]) ).
fof(f5668,plain,
sF34 = g3_lattices(sF33,sF36,sF37),
inference(forward_demodulation,[],[f5663,f2378]) ).
fof(f5673,plain,
sF34 = sF38,
inference(forward_demodulation,[],[f5668,f752]) ).
fof(f5678,plain,
$false,
inference(forward_subsumption_resolution,[],[f5673,f840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:45:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 17.36/2.95 % (2911852)Will run a generic schedule for satisfiability detection.
% 17.36/2.95 % (2911857)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=759544563_2999 on theBenchmark for (2999ds/0Mi)
% 17.36/2.95 % (2911858)% WARNING: option uhcvi not known.
% 17.36/2.95 % TRYING [1]
% 17.36/2.95 % TRYING [2]
% 17.36/2.95 % (2911858)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3955146709:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.36/2.95 % (2911859)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1074693932:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.36/2.95 % (2911860)dis+10_1_sil=32000:sp=arity:random_seed=1285573648:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.36/2.95 % (2911861)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3110661425:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.36/2.95 % (2911862)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2187369156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.36/2.95 % (2911863)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1542652366:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.36/2.95 % TRYING [3]
% 17.36/2.95 % TRYING [4]
% 17.36/2.95 % TRYING [5]
% 17.36/2.95 % (2911860)Instruction limit reached!
% 17.36/2.95 % (2911860)------------------------------
% 17.36/2.95 % (2911860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.36/2.95 % (2911860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/2.95 % (2911860)CaDiCaL version: 2.1.3
% 17.36/2.95 % (2911860)Termination reason: Instruction limit
% 17.36/2.95 % (2911860)Termination phase: Saturation
% 17.36/2.95 % (2911860)Time elapsed: 0.071 s
% 17.36/2.95 % (2911860)Peak memory usage: 13 MB
% 17.36/2.95 % (2911860)Instructions burned: 103 (million)
% 17.36/2.95 % (2911861)Instruction limit reached!
% 17.36/2.95 % (2911861)------------------------------
% 17.36/2.95 % (2911861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.36/2.95 % (2911861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/2.95 % (2911861)CaDiCaL version: 2.1.3
% 17.36/2.95 % (2911861)Termination reason: Instruction limit
% 17.36/2.95 % (2911861)Termination phase: Saturation
% 17.36/2.95 % (2911861)Time elapsed: 0.073 s
% 17.36/2.95 % (2911861)Peak memory usage: 13 MB
% 17.36/2.95 % (2911861)Instructions burned: 116 (million)
% 17.36/2.95 % (2911862)Instruction limit reached!
% 17.36/2.95 % (2911862)------------------------------
% 17.36/2.95 % (2911862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.36/2.95 % (2911862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/2.95 % (2911862)CaDiCaL version: 2.1.3
% 17.36/2.95 % (2911862)Termination reason: Instruction limit
% 17.36/2.95 % (2911862)Termination phase: Saturation
% 17.36/2.95 % (2911862)Time elapsed: 0.074 s
% 17.36/2.95 % (2911862)Peak memory usage: 13 MB
% 17.36/2.95 % (2911862)Instructions burned: 132 (million)
% 17.36/2.95 % (2911873)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=106027368:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.36/2.95 % (2911872)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=199593488:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.36/2.95 % (2911871)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1487192370:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 17.36/2.95 % (2911863)Instruction limit reached!
% 17.36/2.95 % (2911863)------------------------------
% 17.36/2.95 % (2911863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.36/2.95 % (2911863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/2.95 % (2911863)CaDiCaL version: 2.1.3
% 17.36/2.95 % (2911863)Termination reason: Instruction limit
% 17.36/2.95 % (2911863)Termination phase: Saturation
% 17.36/2.95 % (2911863)Time elapsed: 0.105 s
% 17.36/2.95 % (2911863)Peak memory usage: 14 MB
% 17.36/2.95 % (2911863)Instructions burned: 159 (million)
% 17.36/2.95 % TRYING [1]
% 17.36/2.95 % TRYING [2]
% 17.36/2.95 % TRYING [3]
% 17.36/2.95 % (2911877)ott-21_1_sil=16000:fs=off:random_seed=3006372358:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.36/2.95 % TRYING [4]
% 17.36/2.95 % TRYING [6]
% 17.36/2.95 % (2911872)Instruction limit reached!
% 17.36/2.95 % (2911872)------------------------------
% 17.36/2.95 % (2911872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911872)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911872)Termination reason: Instruction limit
% 17.57/4.60 % (2911872)Termination phase: Saturation
% 17.57/4.60 % (2911872)Time elapsed: 0.080 s
% 17.57/4.60 % (2911872)Peak memory usage: 14 MB
% 17.57/4.60 % (2911872)Instructions burned: 132 (million)
% 17.57/4.60 % (2911879)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3598998855:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 17.57/4.60 % (2911877)Instruction limit reached!
% 17.57/4.60 % (2911877)------------------------------
% 17.57/4.60 % (2911877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911877)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911877)Termination reason: Instruction limit
% 17.57/4.60 % (2911877)Termination phase: Saturation
% 17.57/4.60 % (2911877)Time elapsed: 0.104 s
% 17.57/4.60 % (2911877)Peak memory usage: 13 MB
% 17.57/4.60 % (2911877)Instructions burned: 181 (million)
% 17.57/4.60 % TRYING [5]
% 17.57/4.60 % (2911881)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3038061507:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.57/4.60 % TRYING [1]
% 17.57/4.60 % TRYING [2]
% 17.57/4.60 % TRYING [3]
% 17.57/4.60 % TRYING [4]
% 17.57/4.60 % (2911871)Instruction limit reached!
% 17.57/4.60 % (2911871)------------------------------
% 17.57/4.60 % (2911871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911871)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911871)Termination reason: Instruction limit
% 17.57/4.60 % (2911871)Termination phase: Finite model building constraint generation
% 17.57/4.60 % (2911871)Time elapsed: 0.244 s
% 17.57/4.60 % (2911871)Peak memory usage: 24 MB
% 17.57/4.60 % (2911871)Instructions burned: 716 (million)
% 17.57/4.60 % TRYING [7]
% 17.57/4.60 % (2911883)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2908919567:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 17.57/4.60 % TRYING [5]
% 17.57/4.60 % (2911873)Instruction limit reached!
% 17.57/4.60 % (2911873)------------------------------
% 17.57/4.60 % (2911873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911873)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911873)Termination reason: Instruction limit
% 17.57/4.60 % (2911873)Termination phase: Saturation
% 17.57/4.60 % (2911873)Time elapsed: 0.431 s
% 17.57/4.60 % (2911873)Peak memory usage: 21 MB
% 17.57/4.60 % (2911873)Instructions burned: 685 (million)
% 17.57/4.60 % (2911879)Instruction limit reached!
% 17.57/4.60 % (2911879)------------------------------
% 17.57/4.60 % (2911879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911879)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911879)Termination reason: Instruction limit
% 17.57/4.60 % (2911879)Termination phase: Saturation
% 17.57/4.60 % (2911879)Time elapsed: 0.337 s
% 17.57/4.60 % (2911879)Peak memory usage: 15 MB
% 17.57/4.60 % (2911879)Instructions burned: 478 (million)
% 17.57/4.60 % (2911885)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3967396492:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.57/4.60 % (2911886)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=332183882: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)
% 17.57/4.60 % (2911881)Instruction limit reached!
% 17.57/4.60 % (2911881)------------------------------
% 17.57/4.60 % (2911881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911881)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911881)Termination reason: Instruction limit
% 17.57/4.60 % (2911881)Termination phase: Finite model building SAT solving
% 17.57/4.60 % (2911881)Time elapsed: 0.346 s
% 17.57/4.60 % (2911881)Peak memory usage: 25 MB
% 17.57/4.60 % (2911881)Instructions burned: 868 (million)
% 17.57/4.60 % (2911889)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2073715475:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 17.57/4.60 % TRYING [14]
% 17.57/4.60 % (2911885)Instruction limit reached!
% 17.57/4.60 % (2911885)------------------------------
% 17.57/4.60 % (2911885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911885)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911885)Termination reason: Instruction limit
% 17.57/4.60 % (2911885)Termination phase: Finite model building constraint generation
% 17.57/4.60 % (2911885)Time elapsed: 0.408 s
% 17.57/4.60 % (2911885)Peak memory usage: 101 MB
% 17.57/4.60 % (2911885)Instructions burned: 892 (million)
% 17.57/4.60 % (2911891)fmb+10_1_sil=64000:random_seed=547126075:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 17.57/4.60 % (2911886)Instruction limit reached!
% 17.57/4.60 % (2911886)------------------------------
% 17.57/4.60 % (2911886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911886)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911886)Termination reason: Instruction limit
% 17.57/4.60 % (2911886)Termination phase: Saturation
% 17.57/4.60 % (2911886)Time elapsed: 0.443 s
% 17.57/4.60 % (2911886)Peak memory usage: 20 MB
% 17.57/4.60 % (2911886)Instructions burned: 692 (million)
% 17.57/4.60 % TRYING [1]
% 17.57/4.60 % TRYING [2]
% 17.57/4.60 % TRYING [3]
% 17.57/4.60 % (2911893)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2249499751:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 17.57/4.60 % TRYING [20]
% 17.57/4.60 % TRYING [4]
% 17.57/4.60 % (2911883)Instruction limit reached!
% 17.57/4.60 % (2911883)------------------------------
% 17.57/4.60 % (2911883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911883)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911883)Termination reason: Instruction limit
% 17.57/4.60 % (2911883)Termination phase: Saturation
% 17.57/4.60 % (2911883)Time elapsed: 0.727 s
% 17.57/4.60 % (2911883)Peak memory usage: 30 MB
% 17.57/4.60 % (2911883)Instructions burned: 1179 (million)
% 17.57/4.60 % (2911895)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1562492736:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 17.57/4.60 % (2911889)Instruction limit reached!
% 17.57/4.60 % (2911889)------------------------------
% 17.57/4.60 % (2911889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911889)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911889)Termination reason: Instruction limit
% 17.57/4.60 % (2911889)Termination phase: Saturation
% 17.57/4.60 % (2911889)Time elapsed: 0.504 s
% 17.57/4.60 % (2911889)Peak memory usage: 20 MB
% 17.57/4.60 % (2911889)Instructions burned: 879 (million)
% 17.57/4.60 % TRYING [8]
% 17.57/4.60 % (2911897)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=314175106:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 17.57/4.60 % TRYING [8]
% 17.57/4.60 % TRYING [5]
% 17.57/4.60 % (2911895)Instruction limit reached!
% 17.57/4.60 % (2911895)------------------------------
% 17.57/4.60 % (2911895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911895)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911895)Termination reason: Instruction limit
% 17.57/4.60 % (2911895)Termination phase: Finite model building constraint generation
% 17.57/4.60 % (2911895)Time elapsed: 0.384 s
% 17.57/4.60 % (2911895)Peak memory usage: 80 MB
% 17.57/4.60 % (2911895)Instructions burned: 922 (million)
% 17.57/4.60 % (2911899)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3957408363:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 17.57/4.60 % (2911899)Instruction limit reached!
% 17.57/4.60 % (2911899)------------------------------
% 17.57/4.60 % (2911899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911899)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911899)Termination reason: Instruction limit
% 17.57/4.60 % (2911899)Termination phase: Saturation
% 17.57/4.60 % (2911899)Time elapsed: 0.926 s
% 17.57/4.60 % (2911899)Peak memory usage: 37 MB
% 17.57/4.60 % (2911899)Instructions burned: 1472 (million)
% 17.57/4.60 % (2911901)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1959350137:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 17.57/4.60 % (2911901)Cannot represent all propositional literals internally
% 17.57/4.60 % (2911901)Refutation not found, incomplete strategy
% 17.57/4.60 % (2911901)------------------------------
% 17.57/4.60 % (2911901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911901)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911901)Termination reason: Refutation not found, incomplete strategy
% 17.57/4.60 % (2911901)Time elapsed: 0.012 s
% 17.57/4.60 % (2911901)Peak memory usage: 11 MB
% 17.57/4.60 % (2911901)Instructions burned: 24 (million)
% 17.57/4.60 % (2911901)------------------------------
% 17.57/4.60 % (2911901)------------------------------
% 17.57/4.60 % (2911903)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4005439320:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 17.57/4.60 % TRYING [16]
% 17.57/4.60 % TRYING [6]
% 17.57/4.60 % (2911903)Instruction limit reached!
% 17.57/4.60 % (2911903)------------------------------
% 17.57/4.60 % (2911903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911903)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911903)Termination reason: Instruction limit
% 17.57/4.60 % (2911903)Termination phase: Finite model building constraint generation
% 17.57/4.60 % (2911903)Time elapsed: 0.754 s
% 17.57/4.60 % (2911903)Peak memory usage: 134 MB
% 17.57/4.60 % (2911903)Instructions burned: 2175 (million)
% 17.57/4.60 % (2911905)ott-2_1_sil=16000:newcnf=on:random_seed=1971154907:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 17.57/4.60 % (2911905)Instruction limit reached!
% 17.57/4.60 % (2911905)------------------------------
% 17.57/4.60 % (2911905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911905)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911905)Termination reason: Instruction limit
% 17.57/4.60 % (2911905)Termination phase: Saturation
% 17.57/4.60 % (2911905)Time elapsed: 0.579 s
% 17.57/4.60 % (2911905)Peak memory usage: 22 MB
% 17.57/4.60 % (2911905)Instructions burned: 870 (million)
% 17.57/4.60 % (2911907)ott+10_1_sil=32000:tgt=ground:random_seed=1365136472:i=5114:av=off_2960 on theBenchmark for (2960ds/5114Mi)
% 17.57/4.60 % (2911897)Instruction limit reached!
% 17.57/4.60 % (2911897)------------------------------
% 17.57/4.60 % (2911897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.60 % (2911897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.60 % (2911897)CaDiCaL version: 2.1.3
% 17.57/4.60 % (2911897)Termination reason: Instruction limit
% 17.57/4.60 % (2911897)Termination phase: Saturation
% 17.57/4.60 % (2911897)Time elapsed: 2.761 s
% 17.57/4.60 % (2911897)Peak memory usage: 33 MB
% 17.57/4.60 % (2911897)Instructions burned: 5131 (million)
% 17.57/4.60 % (2911909)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3413967502:i=54282_2960 on theBenchmark for (2960ds/54282Mi)
% 17.57/4.60 % TRYING [1]
% 17.57/4.60 % TRYING [2]
% 17.57/4.60 % TRYING [3]
% 17.57/4.60 % TRYING [4]
% 17.57/4.60 % TRYING [5]
% 17.57/4.60 % (2911907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2911852-2911907"...
% 17.57/4.60 % (2911907)...printing done.
% 17.57/4.60 % (2911907)Refutation found. Thanks to Tanya!
% 17.57/4.60 % SZS status Theorem for theBenchmark
% 17.57/4.60 % SZS output start Proof for theBenchmark
% See solution above
% 17.57/4.61 % (2911907)------------------------------
% 17.57/4.61 % (2911907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.57/4.61 % (2911907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.57/4.61 % (2911907)CaDiCaL version: 2.1.3
% 17.57/4.61 % (2911907)Termination reason: Refutation
% 17.57/4.61 % (2911907)Time elapsed: 0.138 s
% 17.57/4.61 % (2911907)Peak memory usage: 14 MB
% 17.57/4.61 % (2911907)Instructions burned: 221 (million)
% 17.57/4.61 % (2911852)Success in time 4.172 s
% 17.57/4.61 % Vampire exiting
%------------------------------------------------------------------------------