%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT305+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:46:43 AM UTC 2026
% Result : Theorem 3.83s 1.61s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of formulae : 200 ( 24 unt; 12 def)
% Number of atoms : 872 ( 22 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1185 ( 513 ~; 544 |; 88 &)
% ( 18 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 13 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 231 ( 0 sgn 220 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_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))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(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/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f73,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/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f75,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/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f76,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f77,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& v8_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f78,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f84,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f90,plain,
! [X0] :
( l3_lattices(X0)
=> l1_lattices(X0) ),
inference(pure_predicate_removal,[],[f31]) ).
fof(f102,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& 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,[],[f2]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(X1,k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1)) )
& 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,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,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,[],[f75]) ).
fof(f107,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,[],[f106]) ).
fof(f108,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,[],[f73]) ).
fof(f109,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,[],[f108]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f114]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f122,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f121]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f131,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f132,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f131]) ).
fof(f143,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(f144,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,[],[f143]) ).
fof(f145,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f149,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f150,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f154,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f157,plain,
( ( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) )
& m1_subset_1(sK2,u1_struct_0(sK0))
& 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,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f103]) ).
fof(f158,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,[],[f109]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X0 = X3
& r3_lattices(X1,X3,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(nnf_transformation,[],[f115]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& X0 = X4
& r3_lattices(X1,X4,X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(rectify,[],[f160]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2) ) )
& ( ( m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X1))
& sK4(X0,X1,X2) = X0
& r3_lattices(X1,sK4(X0,X1,X2),X2) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f161]) ).
fof(f173,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f157]) ).
fof(f174,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f157]) ).
fof(f175,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f157]) ).
fof(f176,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f157]) ).
fof(f177,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f157]) ).
fof(f178,plain,
( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f179,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f180,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f107]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ v9_lattices(X0)
| ~ r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f193,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f196,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f209,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f210,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f212,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f217,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f220,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f221,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f228,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f232,plain,
! [X2,X3,X1] :
( ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(equality_resolution,[],[f189]) ).
fof(f234,definition,
( spl14_1
<=> r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f235,plain,
( r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| spl14_1 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl14_2
<=> r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f240,plain,
( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| spl14_2 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl14_3
<=> r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f244,plain,
( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
| spl14_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f178,f242,f238,f234]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[],[f198,f217]) ).
fof(f304,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,X1)
| v3_struct_0(sK0)
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(resolution,[],[f232,f174]) ).
fof(f305,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X0,X1)
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f304,f175]) ).
fof(f306,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f305,f173]) ).
fof(f311,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| 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(X1,u1_struct_0(sK0)) ),
inference(resolution,[],[f306,f180]) ).
fof(f312,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f315,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f312,f175]) ).
fof(f316,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f315,f173]) ).
fof(f318,definition,
( spl14_4
<=> ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f319,plain,
( ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,definition,
( spl14_5
<=> v9_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f322,plain,
( v9_lattices(sK0)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f323,plain,
( ~ v9_lattices(sK0)
| spl14_5 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f325,definition,
( spl14_6
<=> v8_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f326,plain,
( v8_lattices(sK0)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( ~ v8_lattices(sK0)
| spl14_6 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl14_7
<=> v6_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f330,plain,
( v6_lattices(sK0)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( ~ v6_lattices(sK0)
| spl14_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl14_8
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f334,plain,
( ! [X0] :
( r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f316,f333,f329,f325,f321,f318]) ).
fof(f340,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_5 ),
inference(resolution,[],[f323,f209]) ).
fof(f341,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f340,f175]) ).
fof(f342,plain,
( ~ l3_lattices(sK0)
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f341,f174]) ).
fof(f343,plain,
( $false
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f342,f173]) ).
fof(f344,plain,
spl14_5,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| r3_lattices(sK0,X0,X1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5 ),
inference(resolution,[],[f322,f182]) ).
fof(f349,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_6 ),
inference(resolution,[],[f327,f210]) ).
fof(f350,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f349,f175]) ).
fof(f351,plain,
( ~ l3_lattices(sK0)
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f350,f174]) ).
fof(f352,plain,
( $false
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f351,f173]) ).
fof(f353,plain,
spl14_6,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f358,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_7 ),
inference(resolution,[],[f331,f212]) ).
fof(f359,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f358,f175]) ).
fof(f360,plain,
( ~ l3_lattices(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f359,f174]) ).
fof(f361,plain,
( $false
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f360,f173]) ).
fof(f362,plain,
spl14_7,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f365,plain,
( $false
| ~ spl14_4 ),
inference(resolution,[],[f319,f176]) ).
fof(f374,plain,
~ spl14_4,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| r3_lattices(sK0,X0,X1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f345,f175]) ).
fof(f376,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ v8_lattices(sK0)
| r3_lattices(sK0,X0,X1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f375,f330]) ).
fof(f377,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| r3_lattices(sK0,X0,X1)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f376,f326]) ).
fof(f378,plain,
( ! [X0,X1] :
( r3_lattices(sK0,X0,X1)
| ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f377,f173]) ).
fof(f387,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_8 ),
inference(superposition,[],[f334,f196]) ).
fof(f388,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_8 ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f389,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f388,f175]) ).
fof(f390,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f389,f174]) ).
fof(f391,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f390,f173]) ).
fof(f425,plain,
( ! [X0,X1] :
( v3_struct_0(sK0)
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl14_7 ),
inference(resolution,[],[f303,f330]) ).
fof(f427,plain,
( ! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f425,f175]) ).
fof(f428,plain,
( ! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f427,f173]) ).
fof(f562,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(resolution,[],[f378,f306]) ).
fof(f563,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f568,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_7 ),
inference(superposition,[],[f179,f428]) ).
fof(f571,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_7 ),
inference(duplicate_literal_removal,[],[f568]) ).
fof(f574,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f571,f175]) ).
fof(f578,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f574,f330]) ).
fof(f582,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f578,f326]) ).
fof(f585,plain,
( ! [X0,X1] :
( r1_lattices(sK0,k4_lattices(sK0,X0,X1),X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f582,f173]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(resolution,[],[f563,f585]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(duplicate_literal_removal,[],[f741]) ).
fof(f1409,definition,
( spl14_60
<=> m1_subset_1(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_60])],[avatar_definition]) ).
fof(f1410,plain,
( m1_subset_1(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1411,plain,
( ~ m1_subset_1(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| spl14_60 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1417,definition,
( spl14_62
<=> m1_subset_1(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_62])],[avatar_definition]) ).
fof(f1418,plain,
( m1_subset_1(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ spl14_62 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1419,plain,
( ~ m1_subset_1(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| spl14_62 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f2017,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(resolution,[],[f748,f193]) ).
fof(f2023,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(duplicate_literal_removal,[],[f2017]) ).
fof(f2025,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f2023,f175]) ).
fof(f2027,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_lattices(sK0) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f2025,f330]) ).
fof(f2030,definition,
( spl14_74
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl14_74])],[avatar_definition]) ).
fof(f2032,plain,
( ~ l1_lattices(sK0)
| spl14_74 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2034,definition,
( spl14_75
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl14_75])],[avatar_definition]) ).
fof(f2035,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f2034]) ).
fof(f2036,plain,
( ~ spl14_74
| spl14_75
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f2027,f329,f325,f321,f2034,f2030]) ).
fof(f2037,plain,
( ~ l3_lattices(sK0)
| spl14_74 ),
inference(resolution,[],[f2032,f217]) ).
fof(f2038,plain,
( $false
| spl14_74 ),
inference(forward_subsumption_resolution,[],[f2037,f173]) ).
fof(f2039,plain,
spl14_74,
inference(avatar_contradiction_clause,[],[f2038]) ).
fof(f2055,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_75 ),
inference(superposition,[],[f2035,f196]) ).
fof(f2056,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_75 ),
inference(duplicate_literal_removal,[],[f2055]) ).
fof(f2059,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl14_75 ),
inference(forward_subsumption_resolution,[],[f2056,f175]) ).
fof(f2060,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) )
| ~ spl14_75 ),
inference(forward_subsumption_resolution,[],[f2059,f174]) ).
fof(f2061,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X1,X0),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl14_75 ),
inference(forward_subsumption_resolution,[],[f2060,f173]) ).
fof(f2109,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl14_1
| ~ spl14_75 ),
inference(resolution,[],[f2061,f236]) ).
fof(f2119,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl14_1
| ~ spl14_75 ),
inference(forward_subsumption_resolution,[],[f2109,f177]) ).
fof(f2120,plain,
( $false
| spl14_1
| ~ spl14_75 ),
inference(forward_subsumption_resolution,[],[f2119,f176]) ).
fof(f2121,plain,
( spl14_1
| ~ spl14_75 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2125,plain,
( m1_subset_1(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ spl14_1 ),
inference(resolution,[],[f235,f221]) ).
fof(f2126,plain,
( ~ v1_xboole_0(k18_filter_2(sK0,sK1))
| ~ spl14_1 ),
inference(resolution,[],[f235,f228]) ).
fof(f2129,plain,
( $false
| ~ spl14_1
| spl14_62 ),
inference(forward_subsumption_resolution,[],[f2125,f1419]) ).
fof(f2130,plain,
( ~ spl14_1
| spl14_62 ),
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2131,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,sK1))
| ~ m1_subset_1(X0,k18_filter_2(sK0,sK1)) )
| ~ spl14_1 ),
inference(resolution,[],[f2126,f220]) ).
fof(f2180,plain,
( ~ m1_subset_1(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ spl14_1
| spl14_2 ),
inference(resolution,[],[f2131,f240]) ).
fof(f2221,plain,
( m1_subset_1(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_7
| ~ spl14_62 ),
inference(superposition,[],[f1418,f428]) ).
fof(f2224,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_7
| spl14_60
| ~ spl14_62 ),
inference(forward_subsumption_resolution,[],[f2221,f1411]) ).
fof(f2226,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_7
| spl14_60
| ~ spl14_62 ),
inference(forward_subsumption_resolution,[],[f2224,f176]) ).
fof(f2229,plain,
( $false
| ~ spl14_7
| spl14_60
| ~ spl14_62 ),
inference(forward_subsumption_resolution,[],[f2226,f177]) ).
fof(f2230,plain,
( ~ spl14_7
| spl14_60
| ~ spl14_62 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2232,plain,
( $false
| ~ spl14_1
| spl14_2
| ~ spl14_60 ),
inference(forward_subsumption_resolution,[],[f2180,f1410]) ).
fof(f2233,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_60 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2235,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl14_3
| ~ spl14_8 ),
inference(resolution,[],[f244,f391]) ).
fof(f2246,plain,
( $false
| spl14_3
| ~ spl14_8 ),
inference(forward_subsumption_resolution,[],[f2235,f176]) ).
fof(f2247,plain,
( spl14_3
| ~ spl14_8 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f245]) ).
cnf(s2,plain,
( spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| spl14_8 ),
inference(sat_conversion,[],[f335]) ).
cnf(s3,plain,
spl14_5,
inference(sat_conversion,[],[f344]) ).
cnf(s4,plain,
spl14_6,
inference(sat_conversion,[],[f353]) ).
cnf(s5,plain,
spl14_7,
inference(sat_conversion,[],[f362]) ).
cnf(s8,plain,
~ spl14_4,
inference(sat_conversion,[],[f374]) ).
cnf(s54,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_74
| spl14_75 ),
inference(sat_conversion,[],[f2036]) ).
cnf(s55,plain,
spl14_74,
inference(sat_conversion,[],[f2039]) ).
cnf(s56,plain,
( spl14_1
| ~ spl14_75 ),
inference(sat_conversion,[],[f2121]) ).
cnf(s57,plain,
( ~ spl14_1
| spl14_62 ),
inference(sat_conversion,[],[f2130]) ).
cnf(s69,plain,
( ~ spl14_7
| spl14_60
| ~ spl14_62 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s70,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_60 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s72,plain,
( spl14_3
| ~ spl14_8 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s74,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| spl14_75 ),
inference(rat,[],[s54,s55]) ).
cnf(s84,plain,
spl14_75,
inference(rat,[],[s74,s4,s5,s3]) ).
cnf(s85,plain,
spl14_1,
inference(rat,[],[s56,s84]) ).
cnf(s86,plain,
spl14_62,
inference(rat,[],[s57,s85]) ).
cnf(s87,plain,
spl14_60,
inference(rat,[],[s69,s5,s86]) ).
cnf(s88,plain,
spl14_2,
inference(rat,[],[s70,s85,s87]) ).
cnf(s89,plain,
spl14_8,
inference(rat,[],[s2,s5,s4,s3,s8]) ).
cnf(s90,plain,
spl14_3,
inference(rat,[],[s72,s89]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s1,s90,s88,s85]) ).
fof(f2249,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT305+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n011.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 14:25:30 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.83/1.61 % (2471221)Detected formulas, will run a generic FOF schedule.
% 3.83/1.61 % (2471231)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3035958086:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.83/1.61 % (2471228)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3480429567:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.83/1.61 % (2471226)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=453539119:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.83/1.61 % (2471227)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3725461183:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.83/1.61 % (2471230)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=499711864:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.83/1.61 % (2471229)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3780639161:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.83/1.61 % (2471232)dis-21_1_sil=8000:lcm=predicate:random_seed=3580274413:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.83/1.61 % (2471229)Refutation not found, incomplete strategy
% 3.83/1.61 % (2471229)------------------------------
% 3.83/1.61 % (2471229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471229)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471229)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.61 % (2471229)Time elapsed: 0.002 s
% 3.83/1.61 % (2471229)Peak memory usage: 88 MB
% 3.83/1.61 % (2471229)Instructions burned: 1 (million)
% 3.83/1.61 % (2471231)Instruction limit reached!
% 3.83/1.61 % (2471231)------------------------------
% 3.83/1.61 % (2471231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471231)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471231)Termination reason: Instruction limit
% 3.83/1.61 % (2471231)Termination phase: Saturation
% 3.83/1.61 % (2471231)Time elapsed: 0.054 s
% 3.83/1.61 % (2471231)Peak memory usage: 90 MB
% 3.83/1.61 % (2471231)Instructions burned: 140 (million)
% 3.83/1.61 % (2471230)Instruction limit reached!
% 3.83/1.61 % (2471230)------------------------------
% 3.83/1.61 % (2471230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471230)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471230)Termination reason: Instruction limit
% 3.83/1.61 % (2471230)Termination phase: Saturation
% 3.83/1.61 % (2471230)Time elapsed: 0.068 s
% 3.83/1.61 % (2471230)Peak memory usage: 88 MB
% 3.83/1.61 % (2471230)Instructions burned: 119 (million)
% 3.83/1.61 % (2471232)Instruction limit reached!
% 3.83/1.61 % (2471232)------------------------------
% 3.83/1.61 % (2471232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471232)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471232)Termination reason: Instruction limit
% 3.83/1.61 % (2471232)Termination phase: Saturation
% 3.83/1.61 % (2471232)Time elapsed: 0.069 s
% 3.83/1.61 % (2471232)Peak memory usage: 91 MB
% 3.83/1.61 % (2471232)Instructions burned: 130 (million)
% 3.83/1.61 % (2471240)lrs+10_1_sil=8000:sp=occurrence:random_seed=3793033257:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.83/1.61 % (2471240)Instruction limit reached!
% 3.83/1.61 % (2471240)------------------------------
% 3.83/1.61 % (2471240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471240)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471240)Termination reason: Instruction limit
% 3.83/1.61 % (2471240)Termination phase: Saturation
% 3.83/1.61 % (2471240)Time elapsed: 0.087 s
% 3.83/1.61 % (2471240)Peak memory usage: 91 MB
% 3.83/1.61 % (2471240)Instructions burned: 288 (million)
% 3.83/1.61 % (2471242)lrs+1011_1_sil=32000:sp=occurrence:random_seed=294944277:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.83/1.61 % (2471241)lrs+10_1_sil=32000:urr=on:br=off:random_seed=381001841:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.83/1.61 % (2471241)Refutation not found, incomplete strategy
% 3.83/1.61 % (2471241)------------------------------
% 3.83/1.61 % (2471241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471241)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471241)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.61 % (2471241)Time elapsed: 0.003 s
% 3.83/1.61 % (2471241)Peak memory usage: 88 MB
% 3.83/1.61 % (2471241)Instructions burned: 2 (million)
% 3.83/1.61 % (2471229)------------------------------
% 3.83/1.61 % (2471229)------------------------------
% 3.83/1.61 % (2471242)First to succeed.
% 3.83/1.61 % (2471242)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2471221"
% 3.83/1.61 % (2471244)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2638739376:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.83/1.61 % (2471244)Instruction limit reached!
% 3.83/1.61 % (2471244)------------------------------
% 3.83/1.61 % (2471244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471244)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471244)Termination reason: Instruction limit
% 3.83/1.61 % (2471244)Termination phase: Saturation
% 3.83/1.61 % (2471244)Time elapsed: 0.080 s
% 3.83/1.61 % (2471244)Peak memory usage: 95 MB
% 3.83/1.61 % (2471244)Instructions burned: 250 (million)
% 3.83/1.61 % (2471247)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1043988305:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.83/1.61 % (2471247)Refutation not found, incomplete strategy
% 3.83/1.61 % (2471247)------------------------------
% 3.83/1.61 % (2471247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.61 % (2471247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.61 % (2471247)CaDiCaL version: 2.1.3
% 3.83/1.61 % (2471247)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.61 % (2471247)Time elapsed: 0.004 s
% 3.83/1.61 % (2471247)Peak memory usage: 88 MB
% 3.83/1.61 % (2471247)Instructions burned: 4 (million)
% 3.83/1.61 % (2471241)------------------------------
% 3.83/1.61 % (2471241)------------------------------
% 3.83/1.61 % (2471242)Refutation found. Thanks to Tanya!
% 3.83/1.61 % SZS status Theorem for theBenchmark
% 3.83/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 5.81/1.81 % (2471242)------------------------------
% 5.81/1.81 % (2471242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.81 % (2471242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.81 % (2471242)CaDiCaL version: 2.1.3
% 5.81/1.81 % (2471242)Termination reason: Refutation
% 5.81/1.81 % (2471242)Time elapsed: 0.082 s
% 5.81/1.81 % (2471242)Peak memory usage: 91 MB
% 5.81/1.81 % (2471242)Instructions burned: 113 (million)
% 5.81/1.81 % (2471242)------------------------------
% 5.81/1.81 % (2471242)------------------------------
% 5.81/1.81 % (2471221)Success in time 0.742 s
% 5.81/1.81 % Vampire exiting
%------------------------------------------------------------------------------