%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP648+3 : 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 : n001.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 10:15:17 AM UTC 2026
% Result : Theorem 19.11s 4.76s
% Output : Refutation 19.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 185 ( 29 unt; 5 def)
% Number of atoms : 823 ( 54 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1096 ( 458 ~; 493 |; 96 &)
% ( 14 <=>; 33 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 225 ( 0 sgn 205 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f6788,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f8697,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f8768,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_group_2) ).
fof(f8791,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k7_group_2(X0,X1) = u1_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_group_2) ).
fof(f8898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f8909,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_group_2) ).
fof(f9568,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> u1_struct_0(k11_group_4(X0)) = k1_group_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_group_4) ).
fof(f11207,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f13995,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_latsubgr) ).
fof(f13996,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_latsubgr) ).
fof(f13997,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
=> ( ( X3 = X1
& X4 = X2 )
=> ( r3_lattices(k11_group_4(X0),X3,X4)
<=> m1_group_6(X1,X0,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13996]) ).
fof(f14094,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f13995]) ).
fof(f14095,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<=> r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14094]) ).
fof(f14096,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f13997]) ).
fof(f14097,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( r3_lattices(k11_group_4(X0),X3,X4)
<~> m1_group_6(X1,X0,X2) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f14096]) ).
fof(f14126,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8898]) ).
fof(f14127,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14126]) ).
fof(f14128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8768]) ).
fof(f14129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14128]) ).
fof(f14136,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8697]) ).
fof(f14137,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14136]) ).
fof(f14148,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f9568]) ).
fof(f14149,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14148]) ).
fof(f14389,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f11207]) ).
fof(f14390,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f14389]) ).
fof(f14988,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f8909]) ).
fof(f14989,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f14988]) ).
fof(f15004,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8791]) ).
fof(f15005,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f15004]) ).
fof(f15645,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f16458,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f18247,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) )
& ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4) ) )
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f14095]) ).
fof(f18248,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(nnf_transformation,[],[f14097]) ).
fof(f18249,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ m1_group_6(X1,X0,X2)
| ~ r3_lattices(k11_group_4(X0),X3,X4) )
& ( m1_group_6(X1,X0,X2)
| r3_lattices(k11_group_4(X0),X3,X4) )
& X3 = X1
& X4 = X2
& m1_subset_1(X4,u1_struct_0(k11_group_4(X0))) )
& m1_subset_1(X3,u1_struct_0(k11_group_4(X0))) )
& m1_group_2(X2,X0) )
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f18248]) ).
fof(f18250,plain,
( ( ~ m1_group_6(sK24,sK23,sK25)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) )
& ( m1_group_6(sK24,sK23,sK25)
| r3_lattices(k11_group_4(sK23),sK26,sK27) )
& sK24 = sK26
& sK25 = sK27
& m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23)))
& m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
& m1_group_2(sK25,sK23)
& m1_group_2(sK24,sK23)
& ~ v3_struct_0(sK23)
& v3_group_1(sK23)
& v4_group_1(sK23)
& l1_group_1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25),skolemize(X3,sK26),skolemize(X4,sK27)],[f18249]) ).
fof(f18337,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(nnf_transformation,[],[f14390]) ).
fof(f18339,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f19592,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f18247]) ).
fof(f19593,plain,
! [X2,X3,X0,X1,X4] :
( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| X1 != X3
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f18247]) ).
fof(f19594,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19595,plain,
v4_group_1(sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19596,plain,
v3_group_1(sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19597,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19598,plain,
m1_group_2(sK24,sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19599,plain,
m1_group_2(sK25,sK23),
inference(cnf_transformation,[],[f18250]) ).
fof(f19600,plain,
m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23))),
inference(cnf_transformation,[],[f18250]) ).
fof(f19601,plain,
m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23))),
inference(cnf_transformation,[],[f18250]) ).
fof(f19602,plain,
sK25 = sK27,
inference(cnf_transformation,[],[f18250]) ).
fof(f19603,plain,
sK24 = sK26,
inference(cnf_transformation,[],[f18250]) ).
fof(f19604,plain,
( m1_group_6(sK24,sK23,sK25)
| r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(cnf_transformation,[],[f18250]) ).
fof(f19605,plain,
( ~ m1_group_6(sK24,sK23,sK25)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(cnf_transformation,[],[f18250]) ).
fof(f19650,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f14127]) ).
fof(f19651,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14127]) ).
fof(f19652,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14127]) ).
fof(f19653,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(X1,X2)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14129]) ).
fof(f19657,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v4_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14137]) ).
fof(f19678,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k1_group_3(X0) = u1_struct_0(k11_group_4(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14149]) ).
fof(f19974,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_6(X2,X0,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(X2,X1)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f18337]) ).
fof(f19975,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X2,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_6(X2,X0,X1)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f18337]) ).
fof(f20001,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f18339]) ).
fof(f20814,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f14989]) ).
fof(f20828,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| u1_struct_0(X1) = k7_group_2(X0,X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f15005]) ).
fof(f21628,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f15645]) ).
fof(f22776,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f16458]) ).
fof(f25247,plain,
( ~ m1_group_6(sK26,sK23,sK27)
| ~ r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(definition_unfolding,[],[f19605,f19603,f19602]) ).
fof(f25248,plain,
( m1_group_6(sK26,sK23,sK27)
| r3_lattices(k11_group_4(sK23),sK26,sK27) ),
inference(definition_unfolding,[],[f19604,f19603,f19602]) ).
fof(f25249,plain,
m1_group_2(sK27,sK23),
inference(definition_unfolding,[],[f19599,f19602]) ).
fof(f25250,plain,
m1_group_2(sK26,sK23),
inference(definition_unfolding,[],[f19598,f19603]) ).
fof(f26480,plain,
! [X2,X3,X0,X4] :
( r3_lattices(k11_group_4(X0),X3,X4)
| ~ r1_tarski(u1_struct_0(X3),u1_struct_0(X2))
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19593]) ).
fof(f26481,plain,
! [X3,X0,X4] :
( ~ r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| r3_lattices(k11_group_4(X0),X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f26480]) ).
fof(f26482,plain,
! [X2,X3,X0,X4] :
( r1_tarski(u1_struct_0(X3),u1_struct_0(X2))
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| X2 != X4
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19592]) ).
fof(f26483,plain,
! [X3,X0,X4] :
( ~ v4_group_1(X0)
| ~ r3_lattices(k11_group_4(X0),X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X0)))
| ~ m1_group_2(X4,X0)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| r1_tarski(u1_struct_0(X3),u1_struct_0(X4))
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f26482]) ).
fof(f27424,definition,
( spl797_18
<=> r3_lattices(k11_group_4(sK23),sK26,sK27) ),
introduced(definition,[new_symbols(definition,[spl797_18])],[avatar_definition]) ).
fof(f27425,plain,
( r3_lattices(k11_group_4(sK23),sK26,sK27)
| ~ spl797_18 ),
inference(avatar_component_clause,[],[f27424]) ).
fof(f27427,definition,
( spl797_19
<=> m1_group_6(sK26,sK23,sK27) ),
introduced(definition,[new_symbols(definition,[spl797_19])],[avatar_definition]) ).
fof(f27428,plain,
( m1_group_6(sK26,sK23,sK27)
| ~ spl797_19 ),
inference(avatar_component_clause,[],[f27427]) ).
fof(f27429,plain,
( spl797_18
| spl797_19 ),
inference(avatar_split_clause,[],[f25248,f27427,f27424]) ).
fof(f27430,plain,
( ~ r3_lattices(k11_group_4(sK23),sK26,sK27)
| spl797_18 ),
inference(avatar_component_clause,[],[f27424]) ).
fof(f27431,plain,
( ~ m1_group_6(sK26,sK23,sK27)
| spl797_19 ),
inference(avatar_component_clause,[],[f27427]) ).
fof(f27432,plain,
( ~ spl797_18
| ~ spl797_19 ),
inference(avatar_split_clause,[],[f25247,f27427,f27424]) ).
fof(f27731,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| m1_group_6(X0,sK23,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(resolution,[],[f19975,f19595]) ).
fof(f27732,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| ~ v3_group_1(sK23)
| m1_group_6(X0,sK23,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27731,f19597]) ).
fof(f27733,plain,
! [X0,X1] :
( ~ m1_group_2(X0,X1)
| m1_group_6(X0,sK23,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27732,f19596]) ).
fof(f27734,plain,
! [X0,X1] :
( m1_group_6(X0,sK23,X1)
| ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27733,f19594]) ).
fof(f27735,plain,
( ~ m1_group_2(sK26,sK27)
| ~ m1_group_2(sK27,sK23)
| spl797_19 ),
inference(resolution,[],[f27734,f27431]) ).
fof(f27736,plain,
( ~ m1_group_2(sK26,sK27)
| spl797_19 ),
inference(forward_subsumption_resolution,[],[f27735,f25249]) ).
fof(f27754,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK23,X1)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(resolution,[],[f19974,f19595]) ).
fof(f27755,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK23,X1)
| ~ v3_group_1(sK23)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27754,f19597]) ).
fof(f27756,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK23,X1)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27755,f19596]) ).
fof(f27757,plain,
! [X0,X1] :
( ~ m1_group_6(X0,sK23,X1)
| m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK23) ),
inference(forward_subsumption_resolution,[],[f27756,f19594]) ).
fof(f27760,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK23),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f26483,f19595]) ).
fof(f27761,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK23),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| ~ v3_group_1(sK23)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27760,f19597]) ).
fof(f27762,plain,
! [X0,X1] :
( ~ r3_lattices(k11_group_4(sK23),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27761,f19596]) ).
fof(f27763,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X1,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| ~ r3_lattices(k11_group_4(sK23),X0,X1) ),
inference(forward_subsumption_resolution,[],[f27762,f19594]) ).
fof(f27767,plain,
( v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| u1_struct_0(k11_group_4(sK23)) = k1_group_3(sK23)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f19678,f19595]) ).
fof(f27768,plain,
( ~ v3_group_1(sK23)
| u1_struct_0(k11_group_4(sK23)) = k1_group_3(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27767,f19597]) ).
fof(f27769,plain,
( u1_struct_0(k11_group_4(sK23)) = k1_group_3(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27768,f19596]) ).
fof(f27770,plain,
u1_struct_0(k11_group_4(sK23)) = k1_group_3(sK23),
inference(forward_subsumption_resolution,[],[f27769,f19594]) ).
fof(f27771,plain,
m1_subset_1(sK26,k1_group_3(sK23)),
inference(superposition,[],[f19600,f27770]) ).
fof(f27772,plain,
m1_subset_1(sK27,k1_group_3(sK23)),
inference(superposition,[],[f19601,f27770]) ).
fof(f27801,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| v3_group_1(X0)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f19651,f19596]) ).
fof(f27802,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v3_group_1(X0)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27801,f19597]) ).
fof(f27803,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f27802,f19594]) ).
fof(f27804,plain,
v3_group_1(sK27),
inference(resolution,[],[f27803,f25249]) ).
fof(f27812,definition,
( spl797_30
<=> v3_struct_0(sK27) ),
introduced(definition,[new_symbols(definition,[spl797_30])],[avatar_definition]) ).
fof(f27813,plain,
( v3_struct_0(sK27)
| ~ spl797_30 ),
inference(avatar_component_clause,[],[f27812]) ).
fof(f27838,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| l1_group_1(X0) ),
inference(resolution,[],[f19650,f19594]) ).
fof(f27839,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| ~ v3_group_1(sK23)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f27838,f19597]) ).
fof(f27840,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f27839,f19596]) ).
fof(f27841,plain,
l1_group_1(sK27),
inference(resolution,[],[f27840,f25249]) ).
fof(f27842,plain,
l1_group_1(sK26),
inference(resolution,[],[f27840,f25250]) ).
fof(f27849,plain,
( $false
| ~ spl797_30 ),
inference(unit_resulting_resolution,[],[f19652,f19594,f19596,f19597,f25249,f27813]) ).
fof(f27851,plain,
~ spl797_30,
inference(avatar_contradiction_clause,[],[f27849]) ).
fof(f27902,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f19653,f19595]) ).
fof(f27903,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| ~ v3_group_1(sK23)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27902,f19597]) ).
fof(f27904,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X1,sK23)
| ~ m1_group_2(X0,sK23)
| m1_group_2(X0,X1)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27903,f19596]) ).
fof(f27905,plain,
! [X0,X1] :
( ~ m1_group_2(X0,sK23)
| ~ m1_group_2(X1,sK23)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_group_2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f27904,f19594]) ).
fof(f27907,plain,
! [X0] :
( ~ r1_tarski(u1_struct_0(sK26),u1_struct_0(X0))
| ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0) ),
inference(resolution,[],[f27905,f25250]) ).
fof(f27914,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(X0,sK23)
| ~ m1_group_2(sK26,sK23)
| ~ r3_lattices(k11_group_4(sK23),sK26,X0) ),
inference(resolution,[],[f27907,f27763]) ).
fof(f27916,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(sK26,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK26,sK23)
| ~ r3_lattices(k11_group_4(sK23),sK26,X0) ),
inference(duplicate_literal_removal,[],[f27914]) ).
fof(f27917,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ m1_group_2(sK26,sK23)
| ~ r3_lattices(k11_group_4(sK23),sK26,X0) ),
inference(forward_subsumption_resolution,[],[f27916,f19600]) ).
fof(f27918,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r3_lattices(k11_group_4(sK23),sK26,X0) ),
inference(forward_subsumption_resolution,[],[f27917,f25250]) ).
fof(f27919,plain,
! [X0] :
( ~ r3_lattices(k11_group_4(sK23),sK26,X0)
| ~ m1_group_2(X0,sK23)
| m1_group_2(sK26,X0)
| ~ m1_subset_1(X0,k1_group_3(sK23)) ),
inference(forward_demodulation,[],[f27918,f27770]) ).
fof(f27921,plain,
( ~ m1_group_2(sK27,sK23)
| m1_group_2(sK26,sK27)
| ~ m1_subset_1(sK27,k1_group_3(sK23))
| ~ spl797_18 ),
inference(resolution,[],[f27919,f27425]) ).
fof(f27923,plain,
( m1_group_2(sK26,sK27)
| ~ m1_subset_1(sK27,k1_group_3(sK23))
| ~ spl797_18 ),
inference(forward_subsumption_resolution,[],[f27921,f25249]) ).
fof(f27924,plain,
( ~ m1_subset_1(sK27,k1_group_3(sK23))
| ~ spl797_18
| spl797_19 ),
inference(forward_subsumption_resolution,[],[f27923,f27736]) ).
fof(f27925,plain,
( $false
| ~ spl797_18
| spl797_19 ),
inference(forward_subsumption_resolution,[],[f27924,f27772]) ).
fof(f27926,plain,
( ~ spl797_18
| spl797_19 ),
inference(avatar_contradiction_clause,[],[f27925]) ).
fof(f27928,plain,
( m1_group_2(sK26,sK27)
| ~ m1_group_2(sK27,sK23)
| ~ spl797_19 ),
inference(resolution,[],[f27428,f27757]) ).
fof(f27929,plain,
( m1_group_2(sK26,sK27)
| ~ spl797_19 ),
inference(forward_subsumption_resolution,[],[f27928,f25249]) ).
fof(f27950,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| v4_group_1(X0)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f19657,f19595]) ).
fof(f27951,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| ~ v3_group_1(sK23)
| v4_group_1(X0)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27950,f19597]) ).
fof(f27952,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v4_group_1(X0)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f27951,f19596]) ).
fof(f27953,plain,
! [X0] :
( ~ m1_group_2(X0,sK23)
| v4_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f27952,f19594]) ).
fof(f27954,plain,
v4_group_1(sK27),
inference(resolution,[],[f27953,f25249]) ).
fof(f27963,plain,
! [X0] :
( ~ m1_group_2(X0,sK27)
| v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| u1_struct_0(X0) = k7_group_2(sK27,X0)
| ~ l1_group_1(sK27) ),
inference(resolution,[],[f27954,f20828]) ).
fof(f27976,plain,
! [X0] :
( ~ m1_group_2(X0,sK27)
| v3_struct_0(sK27)
| u1_struct_0(X0) = k7_group_2(sK27,X0)
| ~ l1_group_1(sK27) ),
inference(forward_subsumption_resolution,[],[f27963,f27804]) ).
fof(f27990,plain,
! [X0] :
( ~ m1_group_2(X0,sK27)
| v3_struct_0(sK27)
| u1_struct_0(X0) = k7_group_2(sK27,X0) ),
inference(forward_subsumption_resolution,[],[f27976,f27841]) ).
fof(f28017,definition,
( spl797_47
<=> ! [X0] :
( ~ m1_group_2(X0,sK27)
| u1_struct_0(X0) = k7_group_2(sK27,X0) ) ),
introduced(definition,[new_symbols(definition,[spl797_47])],[avatar_definition]) ).
fof(f28018,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK27)
| u1_struct_0(X0) = k7_group_2(sK27,X0) )
| ~ spl797_47 ),
inference(avatar_component_clause,[],[f28017]) ).
fof(f28019,plain,
( spl797_30
| spl797_47 ),
inference(avatar_split_clause,[],[f27990,f28017,f27812]) ).
fof(f28166,plain,
( u1_struct_0(sK26) = k7_group_2(sK27,sK26)
| ~ spl797_19
| ~ spl797_47 ),
inference(resolution,[],[f28018,f27929]) ).
fof(f28300,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f22776,f21628]) ).
fof(f28302,plain,
u1_struct_0(sK27) = k2_pre_topc(sK27),
inference(resolution,[],[f28300,f27841]) ).
fof(f28303,plain,
u1_struct_0(sK26) = k2_pre_topc(sK26),
inference(resolution,[],[f28300,f27842]) ).
fof(f28401,plain,
! [X0,X1] :
( ~ m1_group_2(sK27,X1)
| r3_lattices(k11_group_4(X1),X0,sK27)
| ~ m1_subset_1(sK27,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(X1)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(superposition,[],[f26481,f28302]) ).
fof(f28590,plain,
! [X0] :
( v3_struct_0(sK27)
| ~ v3_group_1(sK27)
| m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(u1_struct_0(sK27)))
| ~ l1_group_1(sK27)
| ~ m1_group_2(X0,sK27) ),
inference(resolution,[],[f20814,f27954]) ).
fof(f28593,plain,
! [X0] :
( v3_struct_0(sK27)
| m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(u1_struct_0(sK27)))
| ~ l1_group_1(sK27)
| ~ m1_group_2(X0,sK27) ),
inference(forward_subsumption_resolution,[],[f28590,f27804]) ).
fof(f28596,plain,
! [X0] :
( v3_struct_0(sK27)
| m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(u1_struct_0(sK27)))
| ~ m1_group_2(X0,sK27) ),
inference(forward_subsumption_resolution,[],[f28593,f27841]) ).
fof(f28599,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(k2_pre_topc(sK27)))
| v3_struct_0(sK27)
| ~ m1_group_2(X0,sK27) ),
inference(forward_demodulation,[],[f28596,f28302]) ).
fof(f28606,definition,
( spl797_115
<=> ! [X0] :
( m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(k2_pre_topc(sK27)))
| ~ m1_group_2(X0,sK27) ) ),
introduced(definition,[new_symbols(definition,[spl797_115])],[avatar_definition]) ).
fof(f28607,plain,
( ! [X0] :
( m1_subset_1(k7_group_2(sK27,X0),k1_zfmisc_1(k2_pre_topc(sK27)))
| ~ m1_group_2(X0,sK27) )
| ~ spl797_115 ),
inference(avatar_component_clause,[],[f28606]) ).
fof(f28608,plain,
( spl797_30
| spl797_115 ),
inference(avatar_split_clause,[],[f28599,f28606,f27812]) ).
fof(f28696,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(sK27,u1_struct_0(k11_group_4(sK23)))
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(resolution,[],[f28401,f25249]) ).
fof(f28699,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23)
| v3_struct_0(sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f28696,f19601]) ).
fof(f28701,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23)
| ~ v3_group_1(sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f28699,f19597]) ).
fof(f28703,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23)
| ~ v4_group_1(sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f28701,f19596]) ).
fof(f28705,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23)
| ~ l1_group_1(sK23) ),
inference(forward_subsumption_resolution,[],[f28703,f19595]) ).
fof(f28707,plain,
! [X0] :
( r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ m1_subset_1(X0,u1_struct_0(k11_group_4(sK23)))
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23) ),
inference(forward_subsumption_resolution,[],[f28705,f19594]) ).
fof(f28715,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_group_3(sK23))
| r3_lattices(k11_group_4(sK23),X0,sK27)
| ~ r1_tarski(u1_struct_0(X0),k2_pre_topc(sK27))
| ~ m1_group_2(X0,sK23) ),
inference(forward_demodulation,[],[f28707,f27770]) ).
fof(f28717,plain,
( r3_lattices(k11_group_4(sK23),sK26,sK27)
| ~ r1_tarski(u1_struct_0(sK26),k2_pre_topc(sK27))
| ~ m1_group_2(sK26,sK23) ),
inference(resolution,[],[f28715,f27771]) ).
fof(f28718,plain,
( ~ r1_tarski(u1_struct_0(sK26),k2_pre_topc(sK27))
| ~ m1_group_2(sK26,sK23)
| spl797_18 ),
inference(forward_subsumption_resolution,[],[f28717,f27430]) ).
fof(f28720,plain,
( ~ r1_tarski(u1_struct_0(sK26),k2_pre_topc(sK27))
| spl797_18 ),
inference(forward_subsumption_resolution,[],[f28718,f25250]) ).
fof(f28722,plain,
( ~ r1_tarski(k2_pre_topc(sK26),k2_pre_topc(sK27))
| spl797_18 ),
inference(forward_demodulation,[],[f28720,f28303]) ).
fof(f29002,plain,
( m1_subset_1(u1_struct_0(sK26),k1_zfmisc_1(k2_pre_topc(sK27)))
| ~ m1_group_2(sK26,sK27)
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(superposition,[],[f28607,f28166]) ).
fof(f29005,plain,
( m1_subset_1(u1_struct_0(sK26),k1_zfmisc_1(k2_pre_topc(sK27)))
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(forward_subsumption_resolution,[],[f29002,f27929]) ).
fof(f29006,plain,
( m1_subset_1(k2_pre_topc(sK26),k1_zfmisc_1(k2_pre_topc(sK27)))
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(forward_demodulation,[],[f29005,f28303]) ).
fof(f29092,plain,
( r1_tarski(k2_pre_topc(sK26),k2_pre_topc(sK27))
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(resolution,[],[f20001,f29006]) ).
fof(f29097,plain,
( $false
| spl797_18
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(forward_subsumption_resolution,[],[f29092,f28722]) ).
fof(f29098,plain,
( spl797_18
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(avatar_contradiction_clause,[],[f29097]) ).
cnf(s9,plain,
( spl797_18
| spl797_19 ),
inference(sat_conversion,[],[f27429]) ).
cnf(s10,plain,
( ~ spl797_18
| ~ spl797_19 ),
inference(sat_conversion,[],[f27432]) ).
cnf(s27,plain,
~ spl797_30,
inference(sat_conversion,[],[f27851]) ).
cnf(s33,plain,
( ~ spl797_18
| spl797_19 ),
inference(sat_conversion,[],[f27926]) ).
cnf(s39,plain,
( spl797_30
| spl797_47 ),
inference(sat_conversion,[],[f28019]) ).
cnf(s93,plain,
( spl797_30
| spl797_115 ),
inference(sat_conversion,[],[f28608]) ).
cnf(s117,plain,
( spl797_18
| ~ spl797_19
| ~ spl797_47
| ~ spl797_115 ),
inference(sat_conversion,[],[f29098]) ).
cnf(s158,plain,
spl797_115,
inference(rat,[],[s93,s27]) ).
cnf(s173,plain,
spl797_47,
inference(rat,[],[s39,s27]) ).
cnf(s189,plain,
spl797_18,
inference(rat,[],[s9,s117,s173,s158]) ).
cnf(s190,plain,
spl797_19,
inference(rat,[],[s33,s189]) ).
cnf(s191,plain,
$false,
inference(rat,[],[s10,s190,s189]) ).
fof(f29099,plain,
$false,
inference(avatar_sat_refutation,[],[s191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP648+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 10:32:48 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 19.11/4.76 % (3357730)Detected formulas, will run a generic FOF schedule.
% 19.11/4.76 % (3357736)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=1026172142:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 19.11/4.76 % (3357740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3129745227:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 19.11/4.76 % (3357735)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=1644355398:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 19.11/4.76 % (3357737)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=3611930660:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 19.11/4.76 % (3357738)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1636462016:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 19.11/4.76 % (3357740)Instruction limit reached!
% 19.11/4.76 % (3357740)------------------------------
% 19.11/4.76 % (3357740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357740)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357740)Termination reason: Instruction limit
% 19.11/4.76 % (3357740)Termination phase: Property scanning
% 19.11/4.76 % (3357740)Time elapsed: 0.096 s
% 19.11/4.76 % (3357740)Peak memory usage: 103 MB
% 19.11/4.76 % (3357740)Instructions burned: 141 (million)
% 19.11/4.76 % (3357739)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3281861779:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 19.11/4.76 % (3357741)dis-21_1_sil=8000:lcm=predicate:random_seed=3723243166:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 19.11/4.76 % (3357738)Instruction limit reached!
% 19.11/4.76 % (3357738)------------------------------
% 19.11/4.76 % (3357738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357738)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357738)Termination reason: Instruction limit
% 19.11/4.76 % (3357738)Termination phase: Saturation
% 19.11/4.76 % (3357738)Time elapsed: 0.125 s
% 19.11/4.76 % (3357738)Peak memory usage: 108 MB
% 19.11/4.76 % (3357738)Instructions burned: 109 (million)
% 19.11/4.76 % (3357741)Instruction limit reached!
% 19.11/4.76 % (3357741)------------------------------
% 19.11/4.76 % (3357741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357741)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357741)Termination reason: Instruction limit
% 19.11/4.76 % (3357741)Termination phase: Preprocessing 1
% 19.11/4.76 % (3357741)Time elapsed: 0.143 s
% 19.11/4.76 % (3357741)Peak memory usage: 104 MB
% 19.11/4.76 % (3357741)Instructions burned: 130 (million)
% 19.11/4.76 % (3357739)Instruction limit reached!
% 19.11/4.76 % (3357739)------------------------------
% 19.11/4.76 % (3357739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357739)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357739)Termination reason: Instruction limit
% 19.11/4.76 % (3357739)Termination phase: Naming
% 19.11/4.76 % (3357739)Time elapsed: 0.155 s
% 19.11/4.76 % (3357739)Peak memory usage: 106 MB
% 19.11/4.76 % (3357739)Instructions burned: 119 (million)
% 19.11/4.76 % (3357747)lrs+10_1_sil=8000:sp=occurrence:random_seed=3734505230:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 19.11/4.76 % (3357747)Instruction limit reached!
% 19.11/4.76 % (3357747)------------------------------
% 19.11/4.76 % (3357747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357747)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357747)Termination reason: Instruction limit
% 19.11/4.76 % (3357747)Termination phase: Saturation
% 19.11/4.76 % (3357747)Time elapsed: 0.210 s
% 19.11/4.76 % (3357747)Peak memory usage: 111 MB
% 19.11/4.76 % (3357747)Instructions burned: 285 (million)
% 19.11/4.76 % (3357750)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2824284857:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/157Mi)
% 19.11/4.76 % (3357752)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=858050569:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 19.11/4.76 % (3357751)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1340153648:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 19.11/4.76 % (3357750)Instruction limit reached!
% 19.11/4.76 % (3357750)------------------------------
% 19.11/4.76 % (3357750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357750)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357750)Termination reason: Instruction limit
% 19.11/4.76 % (3357750)Termination phase: Property scanning
% 19.11/4.76 % (3357750)Time elapsed: 0.124 s
% 19.11/4.76 % (3357750)Peak memory usage: 103 MB
% 19.11/4.76 % (3357750)Instructions burned: 157 (million)
% 19.11/4.76 % (3357752)Instruction limit reached!
% 19.11/4.76 % (3357752)------------------------------
% 19.11/4.76 % (3357752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357752)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357752)Termination reason: Instruction limit
% 19.11/4.76 % (3357752)Termination phase: SInE selection
% 19.11/4.76 % (3357752)Time elapsed: 0.219 s
% 19.11/4.76 % (3357752)Peak memory usage: 103 MB
% 19.11/4.76 % (3357752)Instructions burned: 249 (million)
% 19.11/4.76 % (3357755)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1492704851:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2982 on theBenchmark for (2982ds/294Mi)
% 19.11/4.76 % (3357751)Instruction limit reached!
% 19.11/4.76 % (3357751)------------------------------
% 19.11/4.76 % (3357751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357751)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357751)Termination reason: Instruction limit
% 19.11/4.76 % (3357751)Termination phase: Saturation
% 19.11/4.76 % (3357751)Time elapsed: 0.332 s
% 19.11/4.76 % (3357751)Peak memory usage: 109 MB
% 19.11/4.76 % (3357751)Instructions burned: 325 (million)
% 19.11/4.76 % (3357758)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1344411998:i=2350_2980 on theBenchmark for (2980ds/2350Mi)
% 19.11/4.76 % (3357759)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2246411031:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 19.11/4.76 % (3357755)Instruction limit reached!
% 19.11/4.76 % (3357755)------------------------------
% 19.11/4.76 % (3357755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357755)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357755)Termination reason: Instruction limit
% 19.11/4.76 % (3357755)Termination phase: Saturation
% 19.11/4.76 % (3357755)Time elapsed: 0.305 s
% 19.11/4.76 % (3357755)Peak memory usage: 111 MB
% 19.11/4.76 % (3357755)Instructions burned: 294 (million)
% 19.11/4.76 % (3357759)Instruction limit reached!
% 19.11/4.76 % (3357759)------------------------------
% 19.11/4.76 % (3357759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357759)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357759)Termination reason: Instruction limit
% 19.11/4.76 % (3357759)Termination phase: Preprocessing 2
% 19.11/4.76 % (3357759)Time elapsed: 0.143 s
% 19.11/4.76 % (3357759)Peak memory usage: 106 MB
% 19.11/4.76 % (3357759)Instructions burned: 113 (million)
% 19.11/4.76 % (3357761)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=191044924:i=127:av=off:fsr=off:sup=off_2978 on theBenchmark for (2978ds/127Mi)
% 19.11/4.76 % (3357764)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1789076889:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 19.11/4.76 % (3357761)Instruction limit reached!
% 19.11/4.76 % (3357761)------------------------------
% 19.11/4.76 % (3357761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357761)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357761)Termination reason: Instruction limit
% 19.11/4.76 % (3357761)Termination phase: Preprocessing 2
% 19.11/4.76 % (3357761)Time elapsed: 0.151 s
% 19.11/4.76 % (3357761)Peak memory usage: 106 MB
% 19.11/4.76 % (3357761)Instructions burned: 127 (million)
% 19.11/4.76 % (3357764)Instruction limit reached!
% 19.11/4.76 % (3357764)------------------------------
% 19.11/4.76 % (3357764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357764)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357764)Termination reason: Instruction limit
% 19.11/4.76 % (3357764)Termination phase: Property scanning
% 19.11/4.76 % (3357764)Time elapsed: 0.056 s
% 19.11/4.76 % (3357764)Peak memory usage: 103 MB
% 19.11/4.76 % (3357764)Instructions burned: 115 (million)
% 19.11/4.76 % (3357765)lrs+10_1_sil=8000:sp=occurrence:random_seed=2733214369:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 19.11/4.76 % (3357769)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2570678374:i=5202:ss=axioms:sgt=16_2973 on theBenchmark for (2973ds/5202Mi)
% 19.11/4.76 % (3357768)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3528506404:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 19.11/4.76 % (3357768)Instruction limit reached!
% 19.11/4.76 % (3357768)------------------------------
% 19.11/4.76 % (3357768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357768)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357768)Termination reason: Instruction limit
% 19.11/4.76 % (3357768)Termination phase: Saturation
% 19.11/4.76 % (3357768)Time elapsed: 0.413 s
% 19.11/4.76 % (3357768)Peak memory usage: 110 MB
% 19.11/4.76 % (3357768)Instructions burned: 437 (million)
% 19.11/4.76 % (3357736)First to succeed.
% 19.11/4.76 % (3357736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3357730"
% 19.11/4.76 % (3357765)Instruction limit reached!
% 19.11/4.76 % (3357765)------------------------------
% 19.11/4.76 % (3357765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/4.76 % (3357765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/4.76 % (3357765)CaDiCaL version: 2.1.3
% 19.11/4.76 % (3357765)Termination reason: Instruction limit
% 19.11/4.76 % (3357765)Termination phase: Saturation
% 19.11/4.76 % (3357765)Time elapsed: 0.848 s
% 19.11/4.76 % (3357765)Peak memory usage: 122 MB
% 19.11/4.76 % (3357765)Instructions burned: 908 (million)
% 19.11/4.76 % (3357736)Refutation found. Thanks to Tanya!
% 19.11/4.76 % SZS status Theorem for theBenchmark
% 19.11/4.76 % SZS output start Proof for theBenchmark
% See solution above
% 19.98/5.08 % (3357736)------------------------------
% 19.98/5.08 % (3357736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/5.08 % (3357736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/5.08 % (3357736)CaDiCaL version: 2.1.3
% 19.98/5.08 % (3357736)Termination reason: Refutation
% 19.98/5.08 % (3357736)Time elapsed: 2.103 s
% 19.98/5.08 % (3357736)Peak memory usage: 248 MB
% 19.98/5.08 % (3357736)Instructions burned: 3911 (million)
% 19.98/5.08 % (3357736)------------------------------
% 19.98/5.08 % (3357736)------------------------------
% 19.98/5.08 % (3357730)Success in time 3.668 s
% 19.98/5.08 % Vampire exiting
%------------------------------------------------------------------------------