%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT320+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:46:53 AM UTC 2026
% Result : Theorem 16.11s 3.63s
% Output : Refutation 19.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 115 ( 24 unt; 6 def)
% Number of atoms : 547 ( 51 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 720 ( 288 ~; 319 |; 83 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 146 ( 0 sgn 137 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f2351,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_lattices) ).
fof(f2857,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f2874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f2911,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> m2_filter_2(k21_filter_2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k21_filter_2) ).
fof(f2912,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k21_filter_2) ).
fof(f2965,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f2986,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_filter_2) ).
fof(f2992,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_filter_2) ).
fof(f2993,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f2992]) ).
fof(f5350,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2351]) ).
fof(f5351,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f5350]) ).
fof(f6047,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2857]) ).
fof(f6048,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6047]) ).
fof(f6081,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2874]) ).
fof(f6082,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6081]) ).
fof(f6155,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f2911]) ).
fof(f6156,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f6155]) ).
fof(f6157,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f2912]) ).
fof(f6158,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f6157]) ).
fof(f6260,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2965]) ).
fof(f6261,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6260]) ).
fof(f6302,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f2986]) ).
fof(f6303,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6302]) ).
fof(f6314,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2993]) ).
fof(f6315,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f6314]) ).
fof(f6565,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f6566,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f6565]) ).
fof(f7814,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0) )
& ( ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f5351]) ).
fof(f7815,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0) )
& ( ( v15_lattices(X0)
& v16_lattices(X0)
& v11_lattices(X0) )
| ~ v17_lattices(X0) ) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f7814]) ).
fof(f8060,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6261]) ).
fof(f8061,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f8060]) ).
fof(f8062,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f8061]) ).
fof(f8063,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK1074(X0,X1,X2))
& r1_tarski(X1,sK1074(X0,X1,X2))
& m2_filter_2(sK1074(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1074]),skolemize(X3,sK1074(X0,X1,X2))],[f8062]) ).
fof(f8077,plain,
( ~ r1_filter_2(u1_struct_0(sK1079),k19_filter_2(sK1079,k4_subset_1(u1_struct_0(sK1079),sK1080,sK1081)),k21_filter_2(sK1079,sK1080,sK1081))
& m2_filter_2(sK1081,sK1079)
& m2_filter_2(sK1080,sK1079)
& ~ v3_struct_0(sK1079)
& v10_lattices(sK1079)
& v17_lattices(sK1079)
& l3_lattices(sK1079) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1079,sK1080,sK1081]),skolemize(X0,sK1079),skolemize(X1,sK1080),skolemize(X2,sK1081)],[f6315]) ).
fof(f8158,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f6566]) ).
fof(f12397,plain,
! [X0] :
( ~ v17_lattices(X0)
| v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f7815]) ).
fof(f13303,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6048]) ).
fof(f13338,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6082]) ).
fof(f13339,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6082]) ).
fof(f13379,plain,
! [X2,X0,X1] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(cnf_transformation,[],[f6156]) ).
fof(f13380,plain,
! [X2,X0,X1] :
( ~ m2_filter_2(X2,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| k20_filter_2(X0,X1,X2) = k21_filter_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f6158]) ).
fof(f13504,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK1074(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8063]) ).
fof(f13505,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,sK1074(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f8063]) ).
fof(f13551,plain,
! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
| ~ m2_filter_2(X2,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6303]) ).
fof(f13593,plain,
l3_lattices(sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13594,plain,
v17_lattices(sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13595,plain,
v10_lattices(sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13596,plain,
~ v3_struct_0(sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13597,plain,
m2_filter_2(sK1080,sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13598,plain,
m2_filter_2(sK1081,sK1079),
inference(cnf_transformation,[],[f8077]) ).
fof(f13599,plain,
~ r1_filter_2(u1_struct_0(sK1079),k19_filter_2(sK1079,k4_subset_1(u1_struct_0(sK1079),sK1080,sK1081)),k21_filter_2(sK1079,sK1080,sK1081)),
inference(cnf_transformation,[],[f8077]) ).
fof(f14969,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f8158]) ).
fof(f15525,definition,
sF1082 = u1_struct_0(sK1079),
introduced(definition,[new_symbols(definition,[sF1082])],[function_definition]) ).
fof(f15526,plain,
u1_struct_0(sK1079) = sF1082,
inference(reorient_equations,[],[f15525]) ).
fof(f15527,definition,
sF1083 = k4_subset_1(sF1082,sK1080,sK1081),
introduced(definition,[new_symbols(definition,[sF1083])],[function_definition]) ).
fof(f15528,plain,
k4_subset_1(sF1082,sK1080,sK1081) = sF1083,
inference(reorient_equations,[],[f15527]) ).
fof(f15529,definition,
sF1084 = k19_filter_2(sK1079,sF1083),
introduced(definition,[new_symbols(definition,[sF1084])],[function_definition]) ).
fof(f15530,plain,
k19_filter_2(sK1079,sF1083) = sF1084,
inference(reorient_equations,[],[f15529]) ).
fof(f15531,definition,
sF1085 = k21_filter_2(sK1079,sK1080,sK1081),
introduced(definition,[new_symbols(definition,[sF1085])],[function_definition]) ).
fof(f15532,plain,
k21_filter_2(sK1079,sK1080,sK1081) = sF1085,
inference(reorient_equations,[],[f15531]) ).
fof(f15533,plain,
~ r1_filter_2(sF1082,sF1084,sF1085),
inference(definition_folding,[],[f13599,f15532,f15530,f15528,f15526,f15526]) ).
fof(f18112,plain,
! [X0] :
( v3_struct_0(sK1079)
| ~ v10_lattices(sK1079)
| ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) ),
inference(resolution,[],[f13380,f13598]) ).
fof(f18115,plain,
! [X0] :
( ~ v10_lattices(sK1079)
| ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) ),
inference(forward_subsumption_resolution,[],[f18112,f13596]) ).
fof(f18117,plain,
! [X0] :
( ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) ),
inference(forward_subsumption_resolution,[],[f18115,f13595]) ).
fof(f18119,plain,
! [X0] :
( ~ v11_lattices(sK1079)
| ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) ),
inference(forward_subsumption_resolution,[],[f18117,f13593]) ).
fof(f18122,definition,
( spl1086_343
<=> ! [X0] :
( ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) ) ),
introduced(definition,[new_symbols(definition,[spl1086_343])],[avatar_definition]) ).
fof(f18123,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK1079)
| k20_filter_2(sK1079,X0,sK1081) = k21_filter_2(sK1079,X0,sK1081) )
| ~ spl1086_343 ),
inference(avatar_component_clause,[],[f18122]) ).
fof(f18125,definition,
( spl1086_344
<=> v11_lattices(sK1079) ),
introduced(definition,[new_symbols(definition,[spl1086_344])],[avatar_definition]) ).
fof(f18126,plain,
( v11_lattices(sK1079)
| ~ spl1086_344 ),
inference(avatar_component_clause,[],[f18125]) ).
fof(f18127,plain,
( ~ v11_lattices(sK1079)
| spl1086_344 ),
inference(avatar_component_clause,[],[f18125]) ).
fof(f18128,plain,
( spl1086_343
| ~ spl1086_344 ),
inference(avatar_split_clause,[],[f18119,f18125,f18122]) ).
fof(f18139,plain,
! [X0,X1] :
( r1_filter_2(sF1082,k19_filter_2(sK1079,k4_subset_1(sF1082,X0,X1)),k19_filter_2(sK1079,k20_filter_2(sK1079,X0,X1)))
| ~ m2_filter_2(X1,sK1079)
| ~ m2_filter_2(X0,sK1079)
| v3_struct_0(sK1079)
| ~ v10_lattices(sK1079)
| ~ l3_lattices(sK1079) ),
inference(superposition,[],[f13551,f15526]) ).
fof(f18140,plain,
! [X0,X1] :
( r1_filter_2(sF1082,k19_filter_2(sK1079,k4_subset_1(sF1082,X0,X1)),k19_filter_2(sK1079,k20_filter_2(sK1079,X0,X1)))
| ~ m2_filter_2(X1,sK1079)
| ~ m2_filter_2(X0,sK1079)
| ~ v10_lattices(sK1079)
| ~ l3_lattices(sK1079) ),
inference(forward_subsumption_resolution,[],[f18139,f13596]) ).
fof(f18141,plain,
! [X0,X1] :
( r1_filter_2(sF1082,k19_filter_2(sK1079,k4_subset_1(sF1082,X0,X1)),k19_filter_2(sK1079,k20_filter_2(sK1079,X0,X1)))
| ~ m2_filter_2(X1,sK1079)
| ~ m2_filter_2(X0,sK1079)
| ~ l3_lattices(sK1079) ),
inference(forward_subsumption_resolution,[],[f18140,f13595]) ).
fof(f18142,plain,
! [X0,X1] :
( r1_filter_2(sF1082,k19_filter_2(sK1079,k4_subset_1(sF1082,X0,X1)),k19_filter_2(sK1079,k20_filter_2(sK1079,X0,X1)))
| ~ m2_filter_2(X1,sK1079)
| ~ m2_filter_2(X0,sK1079) ),
inference(forward_subsumption_resolution,[],[f18141,f13593]) ).
fof(f18146,plain,
( m2_filter_2(sF1085,sK1079)
| v3_struct_0(sK1079)
| ~ v10_lattices(sK1079)
| ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(sK1080,sK1079)
| ~ m2_filter_2(sK1081,sK1079) ),
inference(superposition,[],[f13379,f15532]) ).
fof(f18219,plain,
( r1_filter_2(sF1082,k19_filter_2(sK1079,sF1083),k19_filter_2(sK1079,k20_filter_2(sK1079,sK1080,sK1081)))
| ~ m2_filter_2(sK1081,sK1079)
| ~ m2_filter_2(sK1080,sK1079) ),
inference(superposition,[],[f18142,f15528]) ).
fof(f18220,plain,
( r1_filter_2(sF1082,k19_filter_2(sK1079,sF1083),k19_filter_2(sK1079,k20_filter_2(sK1079,sK1080,sK1081)))
| ~ m2_filter_2(sK1080,sK1079) ),
inference(forward_subsumption_resolution,[],[f18219,f13598]) ).
fof(f18221,plain,
r1_filter_2(sF1082,k19_filter_2(sK1079,sF1083),k19_filter_2(sK1079,k20_filter_2(sK1079,sK1080,sK1081))),
inference(forward_subsumption_resolution,[],[f18220,f13597]) ).
fof(f18222,plain,
r1_filter_2(sF1082,sF1084,k19_filter_2(sK1079,k20_filter_2(sK1079,sK1080,sK1081))),
inference(forward_demodulation,[],[f18221,f15530]) ).
fof(f18237,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f13504,f13505]) ).
fof(f18238,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(duplicate_literal_removal,[],[f18237]) ).
fof(f18403,plain,
( v11_lattices(sK1079)
| v3_struct_0(sK1079)
| ~ l3_lattices(sK1079) ),
inference(resolution,[],[f12397,f13594]) ).
fof(f18405,plain,
( v3_struct_0(sK1079)
| ~ l3_lattices(sK1079)
| spl1086_344 ),
inference(forward_subsumption_resolution,[],[f18403,f18127]) ).
fof(f18406,plain,
( ~ l3_lattices(sK1079)
| spl1086_344 ),
inference(forward_subsumption_resolution,[],[f18405,f13596]) ).
fof(f18407,plain,
( $false
| spl1086_344 ),
inference(forward_subsumption_resolution,[],[f18406,f13593]) ).
fof(f18408,plain,
spl1086_344,
inference(avatar_contradiction_clause,[],[f18407]) ).
fof(f18414,plain,
( k21_filter_2(sK1079,sK1080,sK1081) = k20_filter_2(sK1079,sK1080,sK1081)
| ~ spl1086_343 ),
inference(resolution,[],[f18123,f13597]) ).
fof(f18419,plain,
( sF1085 = k20_filter_2(sK1079,sK1080,sK1081)
| ~ spl1086_343 ),
inference(forward_demodulation,[],[f18414,f15532]) ).
fof(f18420,plain,
( r1_filter_2(sF1082,sF1084,k19_filter_2(sK1079,sF1085))
| ~ spl1086_343 ),
inference(superposition,[],[f18222,f18419]) ).
fof(f18623,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(X1,X0) = X0
| ~ m2_filter_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f18238,f13339]) ).
fof(f18782,plain,
( m2_filter_2(sF1085,sK1079)
| ~ v10_lattices(sK1079)
| ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(sK1080,sK1079)
| ~ m2_filter_2(sK1081,sK1079) ),
inference(forward_subsumption_resolution,[],[f18146,f13596]) ).
fof(f18879,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f18623,f14969]) ).
fof(f18922,plain,
( m2_filter_2(sF1085,sK1079)
| ~ v11_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(sK1080,sK1079)
| ~ m2_filter_2(sK1081,sK1079) ),
inference(forward_subsumption_resolution,[],[f18782,f13595]) ).
fof(f19013,plain,
( m2_filter_2(sF1085,sK1079)
| ~ l3_lattices(sK1079)
| ~ m2_filter_2(sK1080,sK1079)
| ~ m2_filter_2(sK1081,sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f18922,f18126]) ).
fof(f19071,plain,
( m2_filter_2(sF1085,sK1079)
| ~ m2_filter_2(sK1080,sK1079)
| ~ m2_filter_2(sK1081,sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19013,f13593]) ).
fof(f19190,plain,
( m2_filter_2(sF1085,sK1079)
| ~ m2_filter_2(sK1081,sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19071,f13597]) ).
fof(f19214,plain,
( m2_filter_2(sF1085,sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19190,f13598]) ).
fof(f19341,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f18879,f13303]) ).
fof(f19346,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(duplicate_literal_removal,[],[f19341]) ).
fof(f19348,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| k19_filter_2(X1,X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f19346,f13338]) ).
fof(f19436,plain,
( sF1085 = k19_filter_2(sK1079,sF1085)
| v3_struct_0(sK1079)
| ~ v10_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ spl1086_344 ),
inference(resolution,[],[f19348,f19214]) ).
fof(f19443,plain,
( sF1085 = k19_filter_2(sK1079,sF1085)
| ~ v10_lattices(sK1079)
| ~ l3_lattices(sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19436,f13596]) ).
fof(f19447,plain,
( sF1085 = k19_filter_2(sK1079,sF1085)
| ~ l3_lattices(sK1079)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19443,f13595]) ).
fof(f19451,plain,
( sF1085 = k19_filter_2(sK1079,sF1085)
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19447,f13593]) ).
fof(f19526,plain,
( r1_filter_2(sF1082,sF1084,sF1085)
| ~ spl1086_343
| ~ spl1086_344 ),
inference(superposition,[],[f18420,f19451]) ).
fof(f19539,plain,
( $false
| ~ spl1086_343
| ~ spl1086_344 ),
inference(forward_subsumption_resolution,[],[f19526,f15533]) ).
fof(f19540,plain,
( ~ spl1086_343
| ~ spl1086_344 ),
inference(avatar_contradiction_clause,[],[f19539]) ).
cnf(s296,plain,
( spl1086_343
| ~ spl1086_344 ),
inference(sat_conversion,[],[f18128]) ).
cnf(s303,plain,
spl1086_344,
inference(sat_conversion,[],[f18408]) ).
cnf(s374,plain,
( ~ spl1086_343
| ~ spl1086_344 ),
inference(sat_conversion,[],[f19540]) ).
cnf(s402,plain,
~ spl1086_343,
inference(rat,[],[s374,s303]) ).
cnf(s405,plain,
$false,
inference(rat,[],[s296,s303,s402]) ).
fof(f19580,plain,
$false,
inference(avatar_sat_refutation,[],[s405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT320+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:38:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.59/2.96 % (2903189)Detected formulas, will run a generic FOF schedule.
% 12.59/2.96 % (2903196)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=460604787:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.59/2.96 % (2903198)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3538499823:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.59/2.96 % (2903197)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3705912594:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.59/2.96 % (2903194)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=2637191429:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.59/2.96 % (2903195)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=3246013377:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.59/2.96 % (2903199)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=18743152:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.59/2.96 % (2903197)Refutation not found, incomplete strategy
% 12.59/2.96 % (2903197)------------------------------
% 12.59/2.96 % (2903197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.96 % (2903197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.96 % (2903197)CaDiCaL version: 2.1.3
% 12.59/2.96 % (2903197)Termination reason: Refutation not found, incomplete strategy
% 12.59/2.96 % (2903197)Time elapsed: 0.013 s
% 12.59/2.96 % (2903197)Peak memory usage: 91 MB
% 12.59/2.96 % (2903197)Instructions burned: 14 (million)
% 12.59/2.96 % (2903200)dis-21_1_sil=8000:lcm=predicate:random_seed=80133895:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.59/2.96 % (2903198)Instruction limit reached!
% 12.59/2.96 % (2903198)------------------------------
% 12.59/2.96 % (2903198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.96 % (2903198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.96 % (2903198)CaDiCaL version: 2.1.3
% 12.59/2.96 % (2903198)Termination reason: Instruction limit
% 12.59/2.96 % (2903198)Termination phase: Saturation
% 12.59/2.96 % (2903198)Time elapsed: 0.079 s
% 12.59/2.96 % (2903198)Peak memory usage: 92 MB
% 12.59/2.96 % (2903198)Instructions burned: 120 (million)
% 12.59/2.96 % (2903199)Instruction limit reached!
% 12.59/2.96 % (2903199)------------------------------
% 12.59/2.96 % (2903199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.96 % (2903199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.96 % (2903199)CaDiCaL version: 2.1.3
% 12.59/2.96 % (2903199)Termination reason: Instruction limit
% 12.59/2.96 % (2903199)Termination phase: Clausification
% 12.59/2.96 % (2903199)Time elapsed: 0.087 s
% 12.59/2.96 % (2903199)Peak memory usage: 94 MB
% 12.59/2.96 % (2903199)Instructions burned: 139 (million)
% 12.59/2.96 % (2903200)Instruction limit reached!
% 12.59/2.96 % (2903200)------------------------------
% 12.59/2.96 % (2903200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.96 % (2903200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.96 % (2903200)CaDiCaL version: 2.1.3
% 12.59/2.96 % (2903200)Termination reason: Instruction limit
% 12.59/2.96 % (2903200)Termination phase: Property scanning
% 12.59/2.96 % (2903200)Time elapsed: 0.079 s
% 12.59/2.96 % (2903200)Peak memory usage: 93 MB
% 12.59/2.96 % (2903200)Instructions burned: 131 (million)
% 12.59/2.96 % (2903208)lrs+10_1_sil=8000:sp=occurrence:random_seed=1936414820:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.59/2.96 % (2903209)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1985228472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.59/2.96 % (2903210)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4187482306:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.59/2.96 % (2903210)Refutation not found, incomplete strategy
% 12.59/2.96 % (2903210)------------------------------
% 12.59/2.96 % (2903210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.96 % (2903210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903210)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903210)Termination reason: Refutation not found, incomplete strategy
% 16.11/3.63 % (2903210)Time elapsed: 0.014 s
% 16.11/3.63 % (2903210)Peak memory usage: 91 MB
% 16.11/3.63 % (2903210)Instructions burned: 17 (million)
% 16.11/3.63 % (2903197)------------------------------
% 16.11/3.63 % (2903197)------------------------------
% 16.11/3.63 % (2903209)Refutation not found, incomplete strategy
% 16.11/3.63 % (2903209)------------------------------
% 16.11/3.63 % (2903209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903209)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903209)Termination reason: Refutation not found, incomplete strategy
% 16.11/3.63 % (2903209)Time elapsed: 0.027 s
% 16.11/3.63 % (2903209)Peak memory usage: 92 MB
% 16.11/3.63 % (2903209)Instructions burned: 47 (million)
% 16.11/3.63 % (2903208)Instruction limit reached!
% 16.11/3.63 % (2903208)------------------------------
% 16.11/3.63 % (2903208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903208)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903208)Termination reason: Instruction limit
% 16.11/3.63 % (2903208)Termination phase: Saturation
% 16.11/3.63 % (2903208)Time elapsed: 0.195 s
% 16.11/3.63 % (2903208)Peak memory usage: 95 MB
% 16.11/3.63 % (2903208)Instructions burned: 285 (million)
% 16.11/3.63 % (2903214)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=4167062493:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.11/3.63 % (2903209)------------------------------
% 16.11/3.63 % (2903209)------------------------------
% 16.11/3.63 % (2903210)------------------------------
% 16.11/3.63 % (2903210)------------------------------
% 16.11/3.63 % (2903216)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=947098751:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.11/3.63 % (2903214)Instruction limit reached!
% 16.11/3.63 % (2903214)------------------------------
% 16.11/3.63 % (2903214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903214)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903214)Termination reason: Instruction limit
% 16.11/3.63 % (2903214)Termination phase: Saturation
% 16.11/3.63 % (2903214)Time elapsed: 0.143 s
% 16.11/3.63 % (2903214)Peak memory usage: 98 MB
% 16.11/3.63 % (2903214)Instructions burned: 248 (million)
% 16.11/3.63 % (2903217)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2978875931:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 16.11/3.63 % (2903218)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4090119401:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.11/3.63 % (2903220)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3874961845:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 16.11/3.63 % (2903218)Instruction limit reached!
% 16.11/3.63 % (2903218)------------------------------
% 16.11/3.63 % (2903218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903218)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903218)Termination reason: Instruction limit
% 16.11/3.63 % (2903218)Termination phase: Saturation
% 16.11/3.63 % (2903218)Time elapsed: 0.064 s
% 16.11/3.63 % (2903218)Peak memory usage: 92 MB
% 16.11/3.63 % (2903218)Instructions burned: 113 (million)
% 16.11/3.63 % (2903216)Instruction limit reached!
% 16.11/3.63 % (2903216)------------------------------
% 16.11/3.63 % (2903216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903216)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903216)Termination reason: Instruction limit
% 16.11/3.63 % (2903216)Termination phase: Saturation
% 16.11/3.63 % (2903216)Time elapsed: 0.169 s
% 16.11/3.63 % (2903216)Peak memory usage: 94 MB
% 16.11/3.63 % (2903216)Instructions burned: 294 (million)
% 16.11/3.63 % (2903220)Instruction limit reached!
% 16.11/3.63 % (2903220)------------------------------
% 16.11/3.63 % (2903220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903220)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903220)Termination reason: Instruction limit
% 16.11/3.63 % (2903220)Termination phase: Property scanning
% 16.11/3.63 % (2903220)Time elapsed: 0.079 s
% 16.11/3.63 % (2903220)Peak memory usage: 94 MB
% 16.11/3.63 % (2903220)Instructions burned: 128 (million)
% 16.11/3.63 % (2903224)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3971059690:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.11/3.63 % (2903225)lrs+10_1_sil=8000:sp=occurrence:random_seed=2808702785:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.11/3.63 % (2903224)Instruction limit reached!
% 16.11/3.63 % (2903224)------------------------------
% 16.11/3.63 % (2903224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903224)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903224)Termination reason: Instruction limit
% 16.11/3.63 % (2903224)Termination phase: Property scanning
% 16.11/3.63 % (2903224)Time elapsed: 0.060 s
% 16.11/3.63 % (2903224)Peak memory usage: 90 MB
% 16.11/3.63 % (2903224)Instructions burned: 116 (million)
% 16.11/3.63 % (2903226)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1148419525:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.11/3.63 % (2903229)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2985011212:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 16.11/3.63 % (2903226)Instruction limit reached!
% 16.11/3.63 % (2903226)------------------------------
% 16.11/3.63 % (2903226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903226)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903226)Termination reason: Instruction limit
% 16.11/3.63 % (2903226)Termination phase: Saturation
% 16.11/3.63 % (2903226)Time elapsed: 0.254 s
% 16.11/3.63 % (2903226)Peak memory usage: 95 MB
% 16.11/3.63 % (2903226)Instructions burned: 437 (million)
% 16.11/3.63 % (2903232)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=288886506:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 16.11/3.63 % (2903232)Instruction limit reached!
% 16.11/3.63 % (2903232)------------------------------
% 16.11/3.63 % (2903232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903232)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903232)Termination reason: Instruction limit
% 16.11/3.63 % (2903232)Termination phase: Saturation
% 16.11/3.63 % (2903232)Time elapsed: 0.081 s
% 16.11/3.63 % (2903232)Peak memory usage: 94 MB
% 16.11/3.63 % (2903232)Instructions burned: 135 (million)
% 16.11/3.63 % (2903225)Instruction limit reached!
% 16.11/3.63 % (2903225)------------------------------
% 16.11/3.63 % (2903225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903225)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903225)Termination reason: Instruction limit
% 16.11/3.63 % (2903225)Termination phase: Saturation
% 16.11/3.63 % (2903225)Time elapsed: 0.591 s
% 16.11/3.63 % (2903225)Peak memory usage: 103 MB
% 16.11/3.63 % (2903225)Instructions burned: 908 (million)
% 16.11/3.63 % (2903234)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3951841517:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 16.11/3.63 % (2903235)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=164331567:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 16.11/3.63 % (2903234)Instruction limit reached!
% 16.11/3.63 % (2903234)------------------------------
% 16.11/3.63 % (2903234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903234)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903234)Termination reason: Instruction limit
% 16.11/3.63 % (2903234)Termination phase: Saturation
% 16.11/3.63 % (2903234)Time elapsed: 0.304 s
% 16.11/3.63 % (2903234)Peak memory usage: 102 MB
% 16.11/3.63 % (2903234)Instructions burned: 593 (million)
% 16.11/3.63 % (2903238)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=678263678:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 16.11/3.63 % (2903238)Instruction limit reached!
% 16.11/3.63 % (2903238)------------------------------
% 16.11/3.63 % (2903238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903238)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903238)Termination reason: Instruction limit
% 16.11/3.63 % (2903238)Termination phase: Saturation
% 16.11/3.63 % (2903238)Time elapsed: 0.069 s
% 16.11/3.63 % (2903238)Peak memory usage: 93 MB
% 16.11/3.63 % (2903238)Instructions burned: 126 (million)
% 16.11/3.63 % (2903217)Instruction limit reached!
% 16.11/3.63 % (2903217)------------------------------
% 16.11/3.63 % (2903217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903217)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903217)Termination reason: Instruction limit
% 16.11/3.63 % (2903217)Termination phase: Saturation
% 16.11/3.63 % (2903217)Time elapsed: 1.436 s
% 16.11/3.63 % (2903217)Peak memory usage: 212 MB
% 16.11/3.63 % (2903217)Instructions burned: 2351 (million)
% 16.11/3.63 % (2903240)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3830777459:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 16.11/3.63 % (2903194)First to succeed.
% 16.11/3.63 % (2903194)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2903189"
% 16.11/3.63 % (2903241)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1425803837:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 16.11/3.63 % (2903240)Instruction limit reached!
% 16.11/3.63 % (2903240)------------------------------
% 16.11/3.63 % (2903240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903240)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903240)Termination reason: Instruction limit
% 16.11/3.63 % (2903240)Termination phase: Preprocessing 3
% 16.11/3.63 % (2903240)Time elapsed: 0.080 s
% 16.11/3.63 % (2903240)Peak memory usage: 92 MB
% 16.11/3.63 % (2903240)Instructions burned: 135 (million)
% 16.11/3.63 % (2903195)Also succeeded, but the first one will report.
% 16.11/3.63 % (2903241)Instruction limit reached!
% 16.11/3.63 % (2903241)------------------------------
% 16.11/3.63 % (2903241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.63 % (2903241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.63 % (2903241)CaDiCaL version: 2.1.3
% 16.11/3.63 % (2903241)Termination reason: Instruction limit
% 16.11/3.63 % (2903241)Termination phase: Saturation
% 16.11/3.63 % (2903241)Time elapsed: 0.083 s
% 16.11/3.63 % (2903241)Peak memory usage: 93 MB
% 16.11/3.63 % (2903241)Instructions burned: 143 (million)
% 16.11/3.63 % (2903244)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3609208565:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 16.11/3.63 % (2903245)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3910765464:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 16.11/3.63 % (2903194)Refutation found. Thanks to Tanya!
% 16.11/3.63 % SZS status Theorem for theBenchmark
% 16.11/3.63 % SZS output start Proof for theBenchmark
% See solution above
% 19.50/3.83 % (2903194)------------------------------
% 19.50/3.83 % (2903194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.50/3.83 % (2903194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.50/3.83 % (2903194)CaDiCaL version: 2.1.3
% 19.50/3.83 % (2903194)Termination reason: Refutation
% 19.50/3.83 % (2903194)Time elapsed: 2.212 s
% 19.50/3.83 % (2903194)Peak memory usage: 233 MB
% 19.50/3.83 % (2903194)Instructions burned: 3698 (million)
% 19.50/3.83 % (2903194)------------------------------
% 19.50/3.83 % (2903194)------------------------------
% 19.50/3.83 % (2903189)Success in time 2.766 s
% 19.50/3.83 % Vampire exiting
%------------------------------------------------------------------------------