%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT317+1 : 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 : n013.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 11:46:51 AM UTC 2026
% Result : Theorem 7.10s 1.76s
% Output : Refutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 27
% Syntax : Number of formulae : 220 ( 44 unt; 13 def)
% Number of atoms : 804 ( 58 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 956 ( 372 ~; 444 |; 95 &)
% ( 16 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 173 ( 0 sgn 167 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X1,k20_filter_2(X0,X1,X2))
& r1_tarski(X2,k20_filter_2(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( r1_tarski(X1,k20_filter_2(X0,X1,X2))
& r1_tarski(X2,k20_filter_2(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f21,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f24,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f27,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f41,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f42,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(f51,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(f52,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(f85,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f104,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f108,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f115,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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f116,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_filter_0) ).
fof(f123,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X1,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X2,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,[],[f2]) ).
fof(f124,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_tarski(X1,k20_filter_2(X0,X1,X2))
| ~ r1_tarski(X2,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,[],[f123]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = 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,[],[f20]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f152]) ).
fof(f158,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f159,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f175,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f176,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f178,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(flattening,[],[f177]) ).
fof(f186,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,[],[f51]) ).
fof(f187,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,[],[f186]) ).
fof(f188,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,[],[f52]) ).
fof(f189,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,[],[f188]) ).
fof(f225,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f226,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f225]) ).
fof(f238,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f239,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f238]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f246]) ).
fof(f252,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(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,[],[f115]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(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,[],[f252]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(X1,k5_filter_0(X0,X1,X2))
& r1_tarski(X2,k5_filter_0(X0,X1,X2)) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f254]) ).
fof(f262,plain,
( ( ~ r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2))
| ~ r1_tarski(sK2,k20_filter_2(sK0,sK1,sK2)) )
& m2_filter_2(sK2,sK0)
& m2_filter_2(sK1,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)],[f124]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f247]) ).
fof(f300,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f262]) ).
fof(f301,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f262]) ).
fof(f302,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f262]) ).
fof(f303,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f262]) ).
fof(f304,plain,
m2_filter_2(sK2,sK0),
inference(cnf_transformation,[],[f262]) ).
fof(f305,plain,
( ~ r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2))
| ~ r1_tarski(sK2,k20_filter_2(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f262]) ).
fof(f332,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f333,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f337,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f338,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f347,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f348,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f357,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f358,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f359,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f189]) ).
fof(f415,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f423,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f478,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f482,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4)
| k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(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,[],[f253]) ).
fof(f497,plain,
! [X2,X0,X1] :
( r1_tarski(X2,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f498,plain,
! [X2,X0,X1] :
( r1_tarski(X1,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f510,definition,
( spl34_1
<=> r1_tarski(sK2,k20_filter_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl34_1])],[avatar_definition]) ).
fof(f511,plain,
( ~ r1_tarski(sK2,k20_filter_2(sK0,sK1,sK2))
| spl34_1 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,definition,
( spl34_2
<=> r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).
fof(f515,plain,
( ~ spl34_1
| ~ spl34_2 ),
inference(avatar_split_clause,[],[f305,f513,f510]) ).
fof(f522,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ m2_filter_2(X0,sK0) ),
inference(resolution,[],[f478,f300]) ).
fof(f523,plain,
! [X0] :
( ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ m2_filter_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f522,f302]) ).
fof(f524,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f523,f301]) ).
fof(f528,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(X0,sK0) ),
inference(resolution,[],[f357,f300]) ).
fof(f529,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| ~ v10_lattices(sK0)
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f528,f302]) ).
fof(f530,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f529,f301]) ).
fof(f531,plain,
m2_lattice4(sK1,sK0),
inference(resolution,[],[f530,f303]) ).
fof(f532,plain,
m2_lattice4(sK2,sK0),
inference(resolution,[],[f530,f304]) ).
fof(f533,plain,
k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1),
inference(resolution,[],[f524,f303]) ).
fof(f534,plain,
k15_filter_2(sK0,sK2) = k7_filter_2(sK0,sK2),
inference(resolution,[],[f524,f304]) ).
fof(f535,plain,
( m1_filter_2(k7_filter_2(sK0,sK2),k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK2,sK0) ),
inference(superposition,[],[f337,f534]) ).
fof(f536,plain,
( m1_filter_2(k7_filter_2(sK0,sK2),k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK2,sK0) ),
inference(forward_subsumption_resolution,[],[f535,f302]) ).
fof(f537,plain,
( m1_filter_2(k7_filter_2(sK0,sK2),k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK2,sK0) ),
inference(forward_subsumption_resolution,[],[f536,f301]) ).
fof(f538,plain,
( m1_filter_2(k7_filter_2(sK0,sK2),k1_lattice2(sK0))
| ~ m2_filter_2(sK2,sK0) ),
inference(forward_subsumption_resolution,[],[f537,f300]) ).
fof(f539,plain,
m1_filter_2(k7_filter_2(sK0,sK2),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f538,f304]) ).
fof(f540,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(superposition,[],[f337,f533]) ).
fof(f541,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f540,f302]) ).
fof(f542,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f541,f301]) ).
fof(f543,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ m2_filter_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f542,f300]) ).
fof(f544,plain,
m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f543,f303]) ).
fof(f545,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f359,f300]) ).
fof(f546,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f545,f302]) ).
fof(f547,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f546,f301]) ).
fof(f549,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k7_filter_2(sK0,X0) = X0
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f547,f332]) ).
fof(f550,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k7_filter_2(sK0,X0) = X0
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f549,f302]) ).
fof(f552,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k7_filter_2(sK0,X0) = X0
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f550,f301]) ).
fof(f554,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| k7_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f552,f300]) ).
fof(f556,plain,
sK2 = k7_filter_2(sK0,sK2),
inference(resolution,[],[f554,f532]) ).
fof(f557,plain,
sK1 = k7_filter_2(sK0,sK1),
inference(resolution,[],[f554,f531]) ).
fof(f564,plain,
l3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f338,f300]) ).
fof(f569,plain,
! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| m1_filter_0(X0,k1_lattice2(sK0)) ),
inference(resolution,[],[f564,f482]) ).
fof(f575,definition,
( spl34_4
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl34_4])],[avatar_definition]) ).
fof(f576,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl34_4 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,definition,
( spl34_5
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl34_5])],[avatar_definition]) ).
fof(f579,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl34_6
<=> ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK0))
| m1_filter_0(X0,k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl34_6])],[avatar_definition]) ).
fof(f583,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK0))
| m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl34_6 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( ~ spl34_4
| spl34_5
| spl34_6 ),
inference(avatar_split_clause,[],[f569,f582,f578,f575]) ).
fof(f598,plain,
( v3_struct_0(sK0)
| v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f415,f301]) ).
fof(f600,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f598,f302]) ).
fof(f601,plain,
( ~ l3_lattices(sK0)
| spl34_4 ),
inference(forward_subsumption_resolution,[],[f600,f576]) ).
fof(f602,plain,
( $false
| spl34_4 ),
inference(forward_subsumption_resolution,[],[f601,f300]) ).
fof(f603,plain,
spl34_4,
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f604,plain,
v10_lattices(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f600,f300]) ).
fof(f609,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m2_lattice4(X0,sK0) ),
inference(resolution,[],[f347,f547]) ).
fof(f610,plain,
! [X0] :
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f609,f302]) ).
fof(f611,plain,
! [X0] :
( ~ l3_lattices(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f610,f301]) ).
fof(f612,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(forward_subsumption_resolution,[],[f611,f300]) ).
fof(f613,plain,
m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f612,f532]) ).
fof(f614,plain,
m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f612,f531]) ).
fof(f617,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f614,f557]) ).
fof(f618,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f613,f556]) ).
fof(f621,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f618,f348]) ).
fof(f622,plain,
( sK2 = k8_filter_2(sK0,sK2)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f618,f333]) ).
fof(f623,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK2)
| k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f618,f496]) ).
fof(f630,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK2)
| k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f623,f302]) ).
fof(f631,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f622,f302]) ).
fof(f632,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f621,f302]) ).
fof(f633,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK2)
| k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f630,f301]) ).
fof(f634,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f631,f301]) ).
fof(f635,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f632,f301]) ).
fof(f636,plain,
! [X2,X0,X1] :
( v1_xboole_0(sK2)
| k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f633,f300]) ).
fof(f637,plain,
sK2 = k8_filter_2(sK0,sK2),
inference(forward_subsumption_resolution,[],[f634,f300]) ).
fof(f638,plain,
m1_subset_1(k8_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f635,f300]) ).
fof(f640,definition,
( spl34_9
<=> ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl34_9])],[avatar_definition]) ).
fof(f641,plain,
( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X2) )
| ~ spl34_9 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,definition,
( spl34_10
<=> ! [X0,X1] :
( k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl34_10])],[avatar_definition]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| k20_filter_2(sK0,X0,X1) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,X1))
| v1_xboole_0(X1) )
| ~ spl34_10 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,definition,
( spl34_11
<=> v1_xboole_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl34_11])],[avatar_definition]) ).
fof(f647,plain,
( v1_xboole_0(sK2)
| ~ spl34_11 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( spl34_9
| spl34_10
| spl34_11 ),
inference(avatar_split_clause,[],[f636,f646,f643,f640]) ).
fof(f649,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_demodulation,[],[f638,f637]) ).
fof(f672,plain,
( $false
| ~ spl34_11 ),
inference(unit_resulting_resolution,[],[f358,f300,f301,f302,f304,f647]) ).
fof(f675,plain,
~ spl34_11,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f676,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f617,f348]) ).
fof(f677,plain,
( sK1 = k8_filter_2(sK0,sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f617,f333]) ).
fof(f685,plain,
( sK1 = k8_filter_2(sK0,sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f677,f302]) ).
fof(f686,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f676,f302]) ).
fof(f687,plain,
( sK1 = k8_filter_2(sK0,sK1)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f685,f301]) ).
fof(f688,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(k8_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f686,f301]) ).
fof(f689,plain,
sK1 = k8_filter_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f687,f300]) ).
fof(f690,plain,
m1_subset_1(k8_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f688,f300]) ).
fof(f691,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_demodulation,[],[f690,f689]) ).
fof(f702,definition,
( spl34_14
<=> v1_xboole_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl34_14])],[avatar_definition]) ).
fof(f703,plain,
( v1_xboole_0(sK1)
| ~ spl34_14 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f717,plain,
( $false
| ~ spl34_14 ),
inference(unit_resulting_resolution,[],[f358,f300,f301,f302,f303,f703]) ).
fof(f720,plain,
~ spl34_14,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f722,plain,
( v1_xboole_0(sK1)
| ~ spl34_9 ),
inference(resolution,[],[f641,f617]) ).
fof(f723,plain,
( spl34_14
| ~ spl34_9 ),
inference(avatar_split_clause,[],[f722,f640,f702]) ).
fof(f969,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| k20_filter_2(sK0,X0,sK2) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),k7_filter_2(sK0,sK2))
| v1_xboole_0(sK2) )
| ~ spl34_10 ),
inference(resolution,[],[f644,f649]) ).
fof(f970,plain,
( ! [X0] :
( k20_filter_2(sK0,X0,sK2) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| v1_xboole_0(sK2) )
| ~ spl34_10 ),
inference(forward_demodulation,[],[f969,f556]) ).
fof(f973,definition,
( spl34_41
<=> ! [X0] :
( k20_filter_2(sK0,X0,sK2) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl34_41])],[avatar_definition]) ).
fof(f974,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| k20_filter_2(sK0,X0,sK2) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,X0),sK2) )
| ~ spl34_41 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f975,plain,
( spl34_11
| spl34_41
| ~ spl34_10 ),
inference(avatar_split_clause,[],[f970,f643,f973,f646]) ).
fof(f1008,plain,
( v1_xboole_0(sK1)
| k20_filter_2(sK0,sK1,sK2) = k5_filter_0(k1_lattice2(sK0),k7_filter_2(sK0,sK1),sK2)
| ~ spl34_41 ),
inference(resolution,[],[f974,f691]) ).
fof(f1011,plain,
( k20_filter_2(sK0,sK1,sK2) = k5_filter_0(k1_lattice2(sK0),sK1,sK2)
| v1_xboole_0(sK1)
| ~ spl34_41 ),
inference(forward_demodulation,[],[f1008,f557]) ).
fof(f1017,definition,
( spl34_46
<=> k20_filter_2(sK0,sK1,sK2) = k5_filter_0(k1_lattice2(sK0),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl34_46])],[avatar_definition]) ).
fof(f1018,plain,
( k20_filter_2(sK0,sK1,sK2) = k5_filter_0(k1_lattice2(sK0),sK1,sK2)
| ~ spl34_46 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1019,plain,
( spl34_14
| spl34_46
| ~ spl34_41 ),
inference(avatar_split_clause,[],[f1011,f973,f1017,f702]) ).
fof(f1020,plain,
( r1_tarski(sK2,k20_filter_2(sK0,sK1,sK2))
| ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl34_46 ),
inference(superposition,[],[f497,f1018]) ).
fof(f1021,plain,
( r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2))
| ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl34_46 ),
inference(superposition,[],[f498,f1018]) ).
fof(f1131,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl34_5 ),
inference(resolution,[],[f579,f423]) ).
fof(f1136,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl34_5 ),
inference(forward_subsumption_resolution,[],[f1131,f302]) ).
fof(f1139,plain,
( ~ l3_lattices(sK0)
| ~ spl34_5 ),
inference(forward_subsumption_resolution,[],[f1136,f301]) ).
fof(f1140,plain,
( $false
| ~ spl34_5 ),
inference(forward_subsumption_resolution,[],[f1139,f300]) ).
fof(f1141,plain,
~ spl34_5,
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1162,plain,
( r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2))
| ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl34_46 ),
inference(forward_subsumption_resolution,[],[f1021,f604]) ).
fof(f1163,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl34_1
| ~ spl34_46 ),
inference(forward_subsumption_resolution,[],[f1020,f511]) ).
fof(f1193,plain,
( r1_tarski(sK1,k20_filter_2(sK0,sK1,sK2))
| ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ spl34_46 ),
inference(forward_subsumption_resolution,[],[f1162,f564]) ).
fof(f1194,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl34_1
| ~ spl34_46 ),
inference(forward_subsumption_resolution,[],[f1163,f604]) ).
fof(f1261,definition,
( spl34_76
<=> m1_filter_0(sK1,k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl34_76])],[avatar_definition]) ).
fof(f1262,plain,
( ~ m1_filter_0(sK1,k1_lattice2(sK0))
| spl34_76 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1269,definition,
( spl34_78
<=> m1_filter_0(sK2,k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl34_78])],[avatar_definition]) ).
fof(f1270,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK0))
| spl34_78 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1280,plain,
( spl34_5
| ~ spl34_76
| ~ spl34_78
| spl34_2
| ~ spl34_46 ),
inference(avatar_split_clause,[],[f1193,f1017,f513,f1269,f1261,f578]) ).
fof(f1281,plain,
( ~ m1_filter_0(sK2,k1_lattice2(sK0))
| ~ m1_filter_0(sK1,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| spl34_1
| ~ spl34_46 ),
inference(forward_subsumption_resolution,[],[f1194,f564]) ).
fof(f1287,plain,
( spl34_5
| ~ spl34_76
| ~ spl34_78
| spl34_1
| ~ spl34_46 ),
inference(avatar_split_clause,[],[f1281,f1017,f510,f1269,f1261,f578]) ).
fof(f1296,plain,
( m1_filter_0(k7_filter_2(sK0,sK2),k1_lattice2(sK0))
| ~ spl34_6 ),
inference(resolution,[],[f583,f539]) ).
fof(f1297,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ spl34_6 ),
inference(resolution,[],[f583,f544]) ).
fof(f1308,plain,
( m1_filter_0(sK1,k1_lattice2(sK0))
| ~ spl34_6 ),
inference(forward_demodulation,[],[f1297,f557]) ).
fof(f1309,plain,
( m1_filter_0(sK2,k1_lattice2(sK0))
| ~ spl34_6 ),
inference(forward_demodulation,[],[f1296,f556]) ).
fof(f1311,plain,
( $false
| ~ spl34_6
| spl34_76 ),
inference(forward_subsumption_resolution,[],[f1308,f1262]) ).
fof(f1312,plain,
( ~ spl34_6
| spl34_76 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1313,plain,
( $false
| ~ spl34_6
| spl34_78 ),
inference(forward_subsumption_resolution,[],[f1309,f1270]) ).
fof(f1314,plain,
( ~ spl34_6
| spl34_78 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
cnf(s1,plain,
( ~ spl34_1
| ~ spl34_2 ),
inference(sat_conversion,[],[f515]) ).
cnf(s3,plain,
( ~ spl34_4
| spl34_5
| spl34_6 ),
inference(sat_conversion,[],[f584]) ).
cnf(s7,plain,
spl34_4,
inference(sat_conversion,[],[f603]) ).
cnf(s8,plain,
( spl34_9
| spl34_10
| spl34_11 ),
inference(sat_conversion,[],[f648]) ).
cnf(s11,plain,
~ spl34_11,
inference(sat_conversion,[],[f675]) ).
cnf(s14,plain,
~ spl34_14,
inference(sat_conversion,[],[f720]) ).
cnf(s15,plain,
( ~ spl34_9
| spl34_14 ),
inference(sat_conversion,[],[f723]) ).
cnf(s37,plain,
( ~ spl34_10
| spl34_11
| spl34_41 ),
inference(sat_conversion,[],[f975]) ).
cnf(s42,plain,
( spl34_14
| ~ spl34_41
| spl34_46 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s58,plain,
~ spl34_5,
inference(sat_conversion,[],[f1141]) ).
cnf(s81,plain,
( spl34_2
| spl34_5
| ~ spl34_46
| ~ spl34_76
| ~ spl34_78 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s84,plain,
( spl34_1
| spl34_5
| ~ spl34_46
| ~ spl34_76
| ~ spl34_78 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s89,plain,
( ~ spl34_6
| spl34_76 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s90,plain,
( ~ spl34_6
| spl34_78 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s98,plain,
~ spl34_9,
inference(rat,[],[s15,s14]) ).
cnf(s127,plain,
spl34_10,
inference(rat,[],[s8,s11,s98]) ).
cnf(s129,plain,
spl34_41,
inference(rat,[],[s37,s11,s127]) ).
cnf(s132,plain,
spl34_46,
inference(rat,[],[s42,s14,s129]) ).
cnf(s136,plain,
spl34_6,
inference(rat,[],[s3,s58,s7]) ).
cnf(s137,plain,
spl34_78,
inference(rat,[],[s90,s136]) ).
cnf(s138,plain,
spl34_76,
inference(rat,[],[s89,s136]) ).
cnf(s143,plain,
spl34_1,
inference(rat,[],[s84,s137,s132,s58,s138]) ).
cnf(s144,plain,
spl34_2,
inference(rat,[],[s81,s137,s132,s58,s138]) ).
cnf(s146,plain,
$false,
inference(rat,[],[s1,s144,s143]) ).
fof(f1316,plain,
$false,
inference(avatar_sat_refutation,[],[s146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT317+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:32:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 7.10/1.76 % (286280)Detected formulas, will run a generic FOF schedule.
% 7.10/1.76 % (286289)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3052559154:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.10/1.76 % (286285)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=2100214539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.10/1.76 % (286291)dis-21_1_sil=8000:lcm=predicate:random_seed=3821697821: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)
% 7.10/1.76 % (286290)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3804301291:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.10/1.76 % (286286)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=2905470977:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.10/1.76 % (286288)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2973652129:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.10/1.76 % (286287)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=2354468398:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.10/1.76 % (286288)Refutation not found, incomplete strategy
% 7.10/1.76 % (286288)------------------------------
% 7.10/1.76 % (286288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286288)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286288)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286288)Time elapsed: 0.002 s
% 7.10/1.76 % (286288)Peak memory usage: 88 MB
% 7.10/1.76 % (286288)Instructions burned: 2 (million)
% 7.10/1.76 % (286289)Refutation not found, incomplete strategy
% 7.10/1.76 % (286289)------------------------------
% 7.10/1.76 % (286289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286289)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286289)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286289)Time elapsed: 0.007 s
% 7.10/1.76 % (286289)Peak memory usage: 88 MB
% 7.10/1.76 % (286289)Instructions burned: 11 (million)
% 7.10/1.76 % (286291)Instruction limit reached!
% 7.10/1.76 % (286291)------------------------------
% 7.10/1.76 % (286291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286291)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286291)Termination reason: Instruction limit
% 7.10/1.76 % (286291)Termination phase: Saturation
% 7.10/1.76 % (286291)Time elapsed: 0.071 s
% 7.10/1.76 % (286291)Peak memory usage: 93 MB
% 7.10/1.76 % (286291)Instructions burned: 129 (million)
% 7.10/1.76 % (286290)Instruction limit reached!
% 7.10/1.76 % (286290)------------------------------
% 7.10/1.76 % (286290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286290)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286290)Termination reason: Instruction limit
% 7.10/1.76 % (286290)Termination phase: Saturation
% 7.10/1.76 % (286290)Time elapsed: 0.089 s
% 7.10/1.76 % (286290)Peak memory usage: 89 MB
% 7.10/1.76 % (286290)Instructions burned: 140 (million)
% 7.10/1.76 % (286299)lrs+10_1_sil=8000:sp=occurrence:random_seed=3528312234:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.10/1.76 % (286289)------------------------------
% 7.10/1.76 % (286289)------------------------------
% 7.10/1.76 % (286288)------------------------------
% 7.10/1.76 % (286288)------------------------------
% 7.10/1.76 % (286300)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1087813243:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.10/1.76 % (286300)Refutation not found, incomplete strategy
% 7.10/1.76 % (286300)------------------------------
% 7.10/1.76 % (286300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286300)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286300)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286300)Time elapsed: 0.002 s
% 7.10/1.76 % (286300)Peak memory usage: 89 MB
% 7.10/1.76 % (286300)Instructions burned: 5 (million)
% 7.10/1.76 % (286300)------------------------------
% 7.10/1.76 % (286300)------------------------------
% 7.10/1.76 % (286299)Instruction limit reached!
% 7.10/1.76 % (286299)------------------------------
% 7.10/1.76 % (286299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286299)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286299)Termination reason: Instruction limit
% 7.10/1.76 % (286299)Termination phase: Saturation
% 7.10/1.76 % (286299)Time elapsed: 0.167 s
% 7.10/1.76 % (286299)Peak memory usage: 91 MB
% 7.10/1.76 % (286299)Instructions burned: 285 (million)
% 7.10/1.76 % (286303)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2693937600:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.10/1.76 % (286304)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=4254194082:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.10/1.76 % (286303)Refutation not found, incomplete strategy
% 7.10/1.76 % (286303)------------------------------
% 7.10/1.76 % (286303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286303)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286303)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286303)Time elapsed: 0.004 s
% 7.10/1.76 % (286303)Peak memory usage: 89 MB
% 7.10/1.76 % (286303)Instructions burned: 4 (million)
% 7.10/1.76 % (286305)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=24345644:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.10/1.76 % (286305)Refutation not found, incomplete strategy
% 7.10/1.76 % (286305)------------------------------
% 7.10/1.76 % (286305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286305)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286305)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286305)Time elapsed: 0.003 s
% 7.10/1.76 % (286305)Peak memory usage: 88 MB
% 7.10/1.76 % (286305)Instructions burned: 5 (million)
% 7.10/1.76 % (286304)Instruction limit reached!
% 7.10/1.76 % (286304)------------------------------
% 7.10/1.76 % (286304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286304)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286304)Termination reason: Instruction limit
% 7.10/1.76 % (286304)Termination phase: Saturation
% 7.10/1.76 % (286304)Time elapsed: 0.127 s
% 7.10/1.76 % (286304)Peak memory usage: 90 MB
% 7.10/1.76 % (286304)Instructions burned: 248 (million)
% 7.10/1.76 % (286308)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3817024028:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.10/1.76 % (286303)------------------------------
% 7.10/1.76 % (286303)------------------------------
% 7.10/1.76 % (286305)------------------------------
% 7.10/1.76 % (286305)------------------------------
% 7.10/1.76 % (286310)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=638843175:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.10/1.76 % (286286)First to succeed.
% 7.10/1.76 % (286286)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-286280"
% 7.10/1.76 % (286310)Instruction limit reached!
% 7.10/1.76 % (286310)------------------------------
% 7.10/1.76 % (286310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286310)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286310)Termination reason: Instruction limit
% 7.10/1.76 % (286310)Termination phase: Saturation
% 7.10/1.76 % (286310)Time elapsed: 0.065 s
% 7.10/1.76 % (286310)Peak memory usage: 90 MB
% 7.10/1.76 % (286310)Instructions burned: 115 (million)
% 7.10/1.76 % (286313)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=792820743:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.10/1.76 % (286312)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1743316934:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.10/1.76 % (286313)Instruction limit reached!
% 7.10/1.76 % (286313)------------------------------
% 7.10/1.76 % (286313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286313)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286313)Termination reason: Instruction limit
% 7.10/1.76 % (286313)Termination phase: Saturation
% 7.10/1.76 % (286313)Time elapsed: 0.037 s
% 7.10/1.76 % (286313)Peak memory usage: 89 MB
% 7.10/1.76 % (286313)Instructions burned: 117 (million)
% 7.10/1.76 % (286285)Also succeeded, but the first one will report.
% 7.10/1.76 % (286312)Instruction limit reached!
% 7.10/1.76 % (286312)------------------------------
% 7.10/1.76 % (286312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286312)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286312)Termination reason: Instruction limit
% 7.10/1.76 % (286312)Termination phase: Saturation
% 7.10/1.76 % (286312)Time elapsed: 0.065 s
% 7.10/1.76 % (286312)Peak memory usage: 89 MB
% 7.10/1.76 % (286312)Instructions burned: 129 (million)
% 7.10/1.76 % (286315)lrs+10_1_sil=8000:sp=occurrence:random_seed=1557456310:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.10/1.76 % (286318)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1145769347:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.10/1.76 % (286318)Refutation not found, incomplete strategy
% 7.10/1.76 % (286318)------------------------------
% 7.10/1.76 % (286318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.76 % (286318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.76 % (286318)CaDiCaL version: 2.1.3
% 7.10/1.76 % (286318)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.76 % (286318)Time elapsed: 0.004 s
% 7.10/1.76 % (286318)Peak memory usage: 88 MB
% 7.10/1.76 % (286318)Instructions burned: 12 (million)
% 7.10/1.76 % (286286)Refutation found. Thanks to Tanya!
% 7.10/1.76 % SZS status Theorem for theBenchmark
% 7.10/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.50/1.96 % (286286)------------------------------
% 8.50/1.96 % (286286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/1.96 % (286286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/1.96 % (286286)CaDiCaL version: 2.1.3
% 8.50/1.96 % (286286)Termination reason: Refutation
% 8.50/1.96 % (286286)Time elapsed: 0.726 s
% 8.50/1.96 % (286286)Peak memory usage: 130 MB
% 8.50/1.96 % (286286)Instructions burned: 1089 (million)
% 8.50/1.96 % (286286)------------------------------
% 8.50/1.96 % (286286)------------------------------
% 8.50/1.96 % (286280)Success in time 1.157 s
% 8.50/1.96 % Vampire exiting
%------------------------------------------------------------------------------