TSTP Solution File: ALG222+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:12:34 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 217 ( 35 unt; 0 def)
% Number of atoms : 2189 ( 6 equ)
% Maximal formula atoms : 46 ( 10 avg)
% Number of connectives : 3485 (1513 ~;1712 |; 229 &)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 160 ( 136 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f994,plain,
$false,
inference(avatar_sat_refutation,[],[f788,f831,f871,f908,f949,f993]) ).
fof(f993,plain,
spl28_23,
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| spl28_23 ),
inference(subsumption_resolution,[],[f991,f225]) ).
fof(f225,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v6_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v3_rlvect_1(sK1)
& ~ v3_struct_0(sK1)
& l3_vectsp_1(sK0)
& v2_vectsp_2(sK0)
& ~ v10_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v7_group_1(sK0)
& v4_group_1(sK0)
& v6_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v3_rlvect_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f87,f153,f152,f151,f150]) ).
fof(f150,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK0,k2_rmod_3(sK0,X1,k1_rmod_5(sK0,X1,X2),k1_rmod_5(sK0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(sK0)
& v2_vectsp_2(sK0)
& ~ v10_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v7_group_1(sK0)
& v4_group_1(sK0)
& v6_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v3_rlvect_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK0,k2_rmod_3(sK0,X1,k1_rmod_5(sK0,X1,X2),k1_rmod_5(sK0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),X2,X3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,X2),k1_rmod_5(sK0,sK1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v6_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v3_rlvect_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),X2,X3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,X2),k1_rmod_5(sK0,sK1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
=> ( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,X3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,X3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1))) )
=> ( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',t18_rmod_5) ).
fof(f991,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_23 ),
inference(subsumption_resolution,[],[f990,f226]) ).
fof(f226,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f154]) ).
fof(f990,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_23 ),
inference(resolution,[],[f987,f375]) ).
fof(f375,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f374,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(superposition,[],[f233,f231]) ).
fof(f231,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',redefinition_k5_subset_1) ).
fof(f233,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',dt_k5_subset_1) ).
fof(f987,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_23 ),
inference(subsumption_resolution,[],[f986,f205]) ).
fof(f205,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f986,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f985,f206]) ).
fof(f206,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f985,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f984,f207]) ).
fof(f207,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f984,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f983,f208]) ).
fof(f208,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f983,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f982,f209]) ).
fof(f209,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f982,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f981,f210]) ).
fof(f210,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f981,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f980,f211]) ).
fof(f211,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f980,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f979,f212]) ).
fof(f212,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f979,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f978,f213]) ).
fof(f213,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f978,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f977,f214]) ).
fof(f214,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f977,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f976,f215]) ).
fof(f215,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f976,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f975,f216]) ).
fof(f216,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f975,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f974,f217]) ).
fof(f217,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f974,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f973,f218]) ).
fof(f218,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f154]) ).
fof(f973,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f972,f219]) ).
fof(f219,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f154]) ).
fof(f972,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f971,f220]) ).
fof(f220,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f154]) ).
fof(f971,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f970,f221]) ).
fof(f221,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f154]) ).
fof(f970,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f969,f222]) ).
fof(f222,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f154]) ).
fof(f969,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f968,f223]) ).
fof(f223,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f968,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f967,f224]) ).
fof(f224,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f967,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f966,f225]) ).
fof(f966,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(subsumption_resolution,[],[f965,f288]) ).
fof(f288,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',t17_xboole_1) ).
fof(f965,plain,
( ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_23 ),
inference(resolution,[],[f787,f235]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',t15_rmod_5) ).
fof(f787,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| spl28_23 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl28_23
<=> m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
fof(f949,plain,
spl28_22,
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| spl28_22 ),
inference(subsumption_resolution,[],[f947,f205]) ).
fof(f947,plain,
( v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f946,f206]) ).
fof(f946,plain,
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f945,f207]) ).
fof(f945,plain,
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f944,f208]) ).
fof(f944,plain,
( ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f943,f209]) ).
fof(f943,plain,
( ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f942,f210]) ).
fof(f942,plain,
( ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f941,f211]) ).
fof(f941,plain,
( ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f940,f212]) ).
fof(f940,plain,
( ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f939,f213]) ).
fof(f939,plain,
( ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f938,f214]) ).
fof(f938,plain,
( ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f937,f215]) ).
fof(f937,plain,
( v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f936,f216]) ).
fof(f936,plain,
( ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f935,f217]) ).
fof(f935,plain,
( ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f934,f218]) ).
fof(f934,plain,
( v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f933,f219]) ).
fof(f933,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f932,f220]) ).
fof(f932,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f931,f221]) ).
fof(f931,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f930,f222]) ).
fof(f930,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f929,f223]) ).
fof(f929,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f928,f224]) ).
fof(f928,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(subsumption_resolution,[],[f927,f226]) ).
fof(f927,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_22 ),
inference(resolution,[],[f783,f237]) ).
fof(f237,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',dt_k1_rmod_5) ).
fof(f783,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| spl28_22 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl28_22
<=> m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f908,plain,
spl28_21,
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| spl28_21 ),
inference(subsumption_resolution,[],[f906,f205]) ).
fof(f906,plain,
( v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f905,f206]) ).
fof(f905,plain,
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f904,f207]) ).
fof(f904,plain,
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f903,f208]) ).
fof(f903,plain,
( ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f902,f209]) ).
fof(f902,plain,
( ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f901,f210]) ).
fof(f901,plain,
( ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f900,f211]) ).
fof(f900,plain,
( ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f899,f212]) ).
fof(f899,plain,
( ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f898,f213]) ).
fof(f898,plain,
( ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f897,f214]) ).
fof(f897,plain,
( ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f896,f215]) ).
fof(f896,plain,
( v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f895,f216]) ).
fof(f895,plain,
( ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f894,f217]) ).
fof(f894,plain,
( ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f893,f218]) ).
fof(f893,plain,
( v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f892,f219]) ).
fof(f892,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f891,f220]) ).
fof(f891,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f890,f221]) ).
fof(f890,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f889,f222]) ).
fof(f889,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f888,f223]) ).
fof(f888,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f887,f224]) ).
fof(f887,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(subsumption_resolution,[],[f886,f225]) ).
fof(f886,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_21 ),
inference(resolution,[],[f779,f237]) ).
fof(f779,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| spl28_21 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl28_21
<=> m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f871,plain,
spl28_20,
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| spl28_20 ),
inference(subsumption_resolution,[],[f869,f225]) ).
fof(f869,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_20 ),
inference(subsumption_resolution,[],[f868,f226]) ).
fof(f868,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_20 ),
inference(resolution,[],[f857,f375]) ).
fof(f857,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_20 ),
inference(subsumption_resolution,[],[f856,f205]) ).
fof(f856,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f855,f206]) ).
fof(f855,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f854,f207]) ).
fof(f854,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f853,f208]) ).
fof(f853,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f852,f209]) ).
fof(f852,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f851,f210]) ).
fof(f851,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f850,f211]) ).
fof(f850,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f849,f212]) ).
fof(f849,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f848,f213]) ).
fof(f848,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f847,f214]) ).
fof(f847,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f846,f215]) ).
fof(f846,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f845,f216]) ).
fof(f845,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f844,f217]) ).
fof(f844,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f843,f218]) ).
fof(f843,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f842,f219]) ).
fof(f842,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f841,f220]) ).
fof(f841,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f840,f221]) ).
fof(f840,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f839,f222]) ).
fof(f839,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f838,f223]) ).
fof(f838,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(subsumption_resolution,[],[f837,f224]) ).
fof(f837,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_20 ),
inference(resolution,[],[f775,f237]) ).
fof(f775,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| spl28_20 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl28_20
<=> m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f831,plain,
spl28_19,
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| spl28_19 ),
inference(subsumption_resolution,[],[f829,f225]) ).
fof(f829,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_19 ),
inference(subsumption_resolution,[],[f828,f226]) ).
fof(f828,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_19 ),
inference(resolution,[],[f811,f375]) ).
fof(f811,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| spl28_19 ),
inference(subsumption_resolution,[],[f810,f205]) ).
fof(f810,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f809,f206]) ).
fof(f809,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f808,f207]) ).
fof(f808,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f807,f208]) ).
fof(f807,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f806,f209]) ).
fof(f806,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f805,f210]) ).
fof(f805,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f804,f211]) ).
fof(f804,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f803,f212]) ).
fof(f803,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f802,f213]) ).
fof(f802,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f801,f214]) ).
fof(f801,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f800,f215]) ).
fof(f800,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f799,f216]) ).
fof(f799,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f798,f217]) ).
fof(f798,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f797,f218]) ).
fof(f797,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f796,f219]) ).
fof(f796,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f795,f220]) ).
fof(f795,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f794,f221]) ).
fof(f794,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f793,f222]) ).
fof(f793,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f792,f223]) ).
fof(f792,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f791,f224]) ).
fof(f791,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f790,f226]) ).
fof(f790,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(subsumption_resolution,[],[f789,f356]) ).
fof(f356,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X0),
inference(superposition,[],[f288,f290]) ).
fof(f290,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',commutativity_k3_xboole_0) ).
fof(f789,plain,
( ~ r1_tarski(k3_xboole_0(sK2,sK3),sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| spl28_19 ),
inference(resolution,[],[f771,f235]) ).
fof(f771,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| spl28_19 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl28_19
<=> m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f788,plain,
( ~ spl28_19
| ~ spl28_20
| ~ spl28_21
| ~ spl28_22
| ~ spl28_23 ),
inference(avatar_split_clause,[],[f767,f785,f781,f777,f773,f769]) ).
fof(f767,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f766,f218]) ).
fof(f766,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f765,f219]) ).
fof(f765,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f764,f220]) ).
fof(f764,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f763,f221]) ).
fof(f763,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f762,f222]) ).
fof(f762,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f761,f223]) ).
fof(f761,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(subsumption_resolution,[],[f760,f224]) ).
fof(f760,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(resolution,[],[f751,f379]) ).
fof(f379,plain,
~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3))),
inference(subsumption_resolution,[],[f378,f225]) ).
fof(f378,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(subsumption_resolution,[],[f372,f226]) ).
fof(f372,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f227,f231]) ).
fof(f227,plain,
~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3))),
inference(cnf_transformation,[],[f154]) ).
fof(f751,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| ~ m1_rmod_2(X0,sK0,X1) ),
inference(subsumption_resolution,[],[f750,f205]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f749,f206]) ).
fof(f749,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f748,f207]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f747,f208]) ).
fof(f747,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f746,f209]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f745,f210]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f744,f212]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f743,f214]) ).
fof(f743,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| ~ v8_vectsp_1(sK0)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f742,f217]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ m1_rmod_2(X0,sK0,X2)
| ~ m1_rmod_2(X1,sK0,X3)
| ~ m1_rmod_2(X2,sK0,X3)
| ~ m1_rmod_2(X0,sK0,X3)
| ~ l1_vectsp_2(X3,sK0)
| ~ v5_vectsp_2(X3,sK0)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| v3_struct_0(X3)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| m1_rmod_2(X0,sK0,k2_rmod_3(sK0,X3,X2,X1))
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f238,f213]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4] :
( ~ v7_vectsp_1(X0)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ! [X3] :
( m1_rmod_2(X3,X0,X1)
=> ! [X4] :
( m1_rmod_2(X4,X0,X1)
=> ( ( m1_rmod_2(X2,X0,X4)
& m1_rmod_2(X2,X0,X3) )
=> m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770',t24_rmod_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:55:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.EdBlDLLfvv/Vampire---4.8_15770
% 0.61/0.77 % (16130)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.77 % (16133)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.77 % (16132)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (16131)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.61/0.77 % (16134)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.77 % (16135)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.77 % (16137)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.61/0.77 % (16136)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.61/0.77 % (16130)Refutation not found, incomplete strategy% (16130)------------------------------
% 0.61/0.77 % (16130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (16130)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (16130)Memory used [KB]: 1188
% 0.61/0.77 % (16130)Time elapsed: 0.008 s
% 0.61/0.77 % (16130)Instructions burned: 13 (million)
% 0.61/0.77 % (16130)------------------------------
% 0.61/0.77 % (16130)------------------------------
% 0.61/0.78 % (16145)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.78 % (16135)Refutation not found, incomplete strategy% (16135)------------------------------
% 0.61/0.78 % (16135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (16135)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (16135)Memory used [KB]: 1366
% 0.61/0.78 % (16135)Time elapsed: 0.015 s
% 0.61/0.78 % (16135)Instructions burned: 26 (million)
% 0.61/0.78 % (16135)------------------------------
% 0.61/0.78 % (16135)------------------------------
% 0.61/0.78 % (16134)Instruction limit reached!
% 0.61/0.78 % (16134)------------------------------
% 0.61/0.78 % (16134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (16134)Termination reason: Unknown
% 0.61/0.78 % (16134)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (16134)Memory used [KB]: 1419
% 0.61/0.78 % (16134)Time elapsed: 0.017 s
% 0.61/0.78 % (16134)Instructions burned: 34 (million)
% 0.61/0.78 % (16134)------------------------------
% 0.61/0.78 % (16134)------------------------------
% 0.61/0.78 % (16133)Instruction limit reached!
% 0.61/0.78 % (16133)------------------------------
% 0.61/0.78 % (16133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (16133)Termination reason: Unknown
% 0.61/0.78 % (16133)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (16133)Memory used [KB]: 1393
% 0.61/0.78 % (16133)Time elapsed: 0.018 s
% 0.61/0.78 % (16133)Instructions burned: 33 (million)
% 0.61/0.78 % (16133)------------------------------
% 0.61/0.78 % (16133)------------------------------
% 0.61/0.79 % (16148)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.79 % (16152)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.79 % (16153)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.79 % (16136)Instruction limit reached!
% 0.61/0.79 % (16136)------------------------------
% 0.61/0.79 % (16136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (16136)Termination reason: Unknown
% 0.61/0.79 % (16136)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (16136)Memory used [KB]: 1397
% 0.61/0.79 % (16136)Time elapsed: 0.022 s
% 0.61/0.79 % (16136)Instructions burned: 85 (million)
% 0.61/0.79 % (16136)------------------------------
% 0.61/0.79 % (16136)------------------------------
% 0.61/0.79 % (16137)Instruction limit reached!
% 0.61/0.79 % (16137)------------------------------
% 0.61/0.79 % (16137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (16137)Termination reason: Unknown
% 0.61/0.79 % (16137)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (16137)Memory used [KB]: 1742
% 0.61/0.79 % (16137)Time elapsed: 0.027 s
% 0.61/0.79 % (16137)Instructions burned: 56 (million)
% 0.61/0.79 % (16137)------------------------------
% 0.61/0.79 % (16137)------------------------------
% 0.61/0.79 % (16162)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.80 % (16164)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.80 % (16132)First to succeed.
% 0.61/0.80 % (16131)Instruction limit reached!
% 0.61/0.80 % (16131)------------------------------
% 0.61/0.80 % (16131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (16131)Termination reason: Unknown
% 0.61/0.80 % (16131)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (16131)Memory used [KB]: 1655
% 0.61/0.80 % (16131)Time elapsed: 0.034 s
% 0.61/0.80 % (16131)Instructions burned: 51 (million)
% 0.61/0.80 % (16131)------------------------------
% 0.61/0.80 % (16131)------------------------------
% 0.61/0.80 % (16166)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.80 % (16132)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16023"
% 0.61/0.81 % (16132)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (16132)------------------------------
% 0.61/0.81 % (16132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (16132)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (16132)Memory used [KB]: 1542
% 0.61/0.81 % (16132)Time elapsed: 0.038 s
% 0.61/0.81 % (16132)Instructions burned: 65 (million)
% 0.61/0.81 % (16023)Success in time 0.424 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------