TSTP Solution File: ALG219+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG219+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 04:12:30 EDT 2024
% Result : Theorem 0.65s 0.79s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 13
% Syntax : Number of formulae : 139 ( 32 unt; 0 def)
% Number of atoms : 1239 ( 108 equ)
% Maximal formula atoms : 50 ( 8 avg)
% Number of connectives : 1884 ( 784 ~; 832 |; 242 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 120 ( 105 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f918,plain,
$false,
inference(avatar_sat_refutation,[],[f681,f729,f917]) ).
fof(f917,plain,
~ spl27_22,
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f916,plain,
( $false
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f915,f189]) ).
fof(f189,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( sK1 != k1_rmod_5(sK0,sK1,sK2)
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(sK1) = sK2
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v3_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])],[f78,f138,f137,f136]) ).
fof(f136,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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] :
( k1_rmod_5(sK0,X1,X2) != X1
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v3_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(f137,plain,
( ? [X1] :
( ? [X2] :
( k1_rmod_5(sK0,X1,X2) != X1
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK0)
& v5_vectsp_2(X1,sK0)
& v3_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] :
( sK1 != k1_rmod_5(sK0,sK1,X2)
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(sK1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v3_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(f138,plain,
( ? [X2] :
( sK1 != k1_rmod_5(sK0,sK1,X2)
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(sK1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1))) )
=> ( sK1 != k1_rmod_5(sK0,sK1,sK2)
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& u1_struct_0(sK1) = sK2
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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,[],[f77]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) != X1
& k1_rlvect_1(X0) != k2_group_1(X0)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v3_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)
& v3_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)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rmod_5(X0,X1,X2) = X1
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ),
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)
& v3_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)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rmod_5(X0,X1,X2) = X1
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',t14_rmod_5) ).
fof(f915,plain,
( v3_struct_0(sK0)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f914,f190]) ).
fof(f190,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f914,plain,
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f913,f191]) ).
fof(f191,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f913,plain,
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f912,f192]) ).
fof(f192,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f912,plain,
( ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f911,f193]) ).
fof(f193,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f911,plain,
( ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f910,f194]) ).
fof(f194,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f910,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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f909,f196]) ).
fof(f196,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f909,plain,
( ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f908,f197]) ).
fof(f197,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f908,plain,
( ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f907,f198]) ).
fof(f198,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f907,plain,
( ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f906,f201]) ).
fof(f201,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f906,plain,
( ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f905,f202]) ).
fof(f202,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f905,plain,
( v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f904,f203]) ).
fof(f203,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f904,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f903,f204]) ).
fof(f204,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f903,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f902,f205]) ).
fof(f205,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f902,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f901,f206]) ).
fof(f206,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f139]) ).
fof(f901,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)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f900,f208]) ).
fof(f208,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f900,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)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f899,f209]) ).
fof(f209,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f899,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)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f897,f740]) ).
fof(f740,plain,
~ m1_rmod_2(sK1,sK0,sK1),
inference(subsumption_resolution,[],[f739,f213]) ).
fof(f213,plain,
sK1 != k1_rmod_5(sK0,sK1,sK2),
inference(cnf_transformation,[],[f139]) ).
fof(f739,plain,
( ~ m1_rmod_2(sK1,sK0,sK1)
| sK1 = k1_rmod_5(sK0,sK1,sK2) ),
inference(subsumption_resolution,[],[f738,f207]) ).
fof(f207,plain,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f738,plain,
( ~ v3_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(sK1,sK0,sK1)
| sK1 = k1_rmod_5(sK0,sK1,sK2) ),
inference(subsumption_resolution,[],[f737,f322]) ).
fof(f322,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK2)),
inference(forward_demodulation,[],[f210,f211]) ).
fof(f211,plain,
u1_struct_0(sK1) = sK2,
inference(cnf_transformation,[],[f139]) ).
fof(f210,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f139]) ).
fof(f737,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(sK1,sK0)
| ~ m1_rmod_2(sK1,sK0,sK1)
| sK1 = k1_rmod_5(sK0,sK1,sK2) ),
inference(superposition,[],[f613,f211]) ).
fof(f613,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f612,f202]) ).
fof(f612,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_struct_0(sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f611,f203]) ).
fof(f611,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f610,f204]) ).
fof(f610,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f609,f205]) ).
fof(f609,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f608,f206]) ).
fof(f608,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f607,f208]) ).
fof(f607,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,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)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f605,f209]) ).
fof(f605,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,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)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(superposition,[],[f590,f211]) ).
fof(f590,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f589,f189]) ).
fof(f589,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f588,f190]) ).
fof(f588,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f587,f191]) ).
fof(f587,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f586,f192]) ).
fof(f586,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f585,f193]) ).
fof(f585,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f584,f194]) ).
fof(f584,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ 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,[],[f583,f195]) ).
fof(f195,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f583,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ 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(subsumption_resolution,[],[f582,f196]) ).
fof(f582,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ 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(subsumption_resolution,[],[f581,f197]) ).
fof(f581,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ 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(subsumption_resolution,[],[f580,f198]) ).
fof(f580,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| ~ 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(subsumption_resolution,[],[f579,f199]) ).
fof(f199,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f579,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| 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(subsumption_resolution,[],[f578,f201]) ).
fof(f578,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| 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(subsumption_resolution,[],[f577,f212]) ).
fof(f212,plain,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f577,plain,
! [X0,X1] :
( k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ m1_rmod_2(X0,sK0,X1)
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_subset_1(u1_struct_0(X0),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)
| k1_rmod_5(sK0,X1,u1_struct_0(X0)) = X0
| 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(resolution,[],[f321,f200]) ).
fof(f200,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f139]) ).
fof(f321,plain,
! [X3,X0,X1] :
( ~ v2_vectsp_2(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| ~ m1_subset_1(u1_struct_0(X3),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)
| k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| 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(equality_resolution,[],[f216]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,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(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,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,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,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,[],[f65]) ).
fof(f65,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_rmod_2(X3,X0,X1)
& v3_vectsp_2(X3,X0) )
=> ( u1_struct_0(X3) = X2
=> ( k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',t13_rmod_5) ).
fof(f897,plain,
( m1_rmod_2(sK1,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)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ 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)
| ~ spl27_22 ),
inference(superposition,[],[f281,f677]) ).
fof(f677,plain,
( sK1 = k2_rmod_2(sK0,sK1)
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl27_22
<=> sK1 = k2_rmod_2(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f281,plain,
! [X0,X1] :
( m1_rmod_2(k2_rmod_2(X0,X1),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(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) )
| ~ 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,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) )
| ~ 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,[],[f15]) ).
fof(f15,axiom,
! [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) )
=> ( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
& v3_vectsp_2(k2_rmod_2(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',dt_k2_rmod_2) ).
fof(f729,plain,
spl27_21,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| spl27_21 ),
inference(subsumption_resolution,[],[f727,f201]) ).
fof(f727,plain,
( ~ l3_vectsp_1(sK0)
| spl27_21 ),
inference(resolution,[],[f719,f317]) ).
fof(f317,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',dt_l3_vectsp_1) ).
fof(f719,plain,
( ~ l1_rlvect_1(sK0)
| spl27_21 ),
inference(resolution,[],[f713,f310]) ).
fof(f310,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',dt_l1_rlvect_1) ).
fof(f713,plain,
( ~ l2_struct_0(sK0)
| spl27_21 ),
inference(resolution,[],[f673,f309]) ).
fof(f309,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',dt_l2_struct_0) ).
fof(f673,plain,
( ~ l1_struct_0(sK0)
| spl27_21 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl27_21
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f681,plain,
( ~ spl27_21
| spl27_22 ),
inference(avatar_split_clause,[],[f680,f675,f671]) ).
fof(f680,plain,
( sK1 = k2_rmod_2(sK0,sK1)
| ~ l1_struct_0(sK0) ),
inference(subsumption_resolution,[],[f679,f209]) ).
fof(f679,plain,
( sK1 = k2_rmod_2(sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| ~ l1_struct_0(sK0) ),
inference(subsumption_resolution,[],[f666,f207]) ).
fof(f666,plain,
( sK1 = k2_rmod_2(sK0,sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f417,f514]) ).
fof(f514,plain,
k2_rmod_2(sK0,sK1) = g1_vectsp_2(sK0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)),
inference(forward_demodulation,[],[f513,f211]) ).
fof(f513,plain,
g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1),
inference(subsumption_resolution,[],[f512,f202]) ).
fof(f512,plain,
( v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(subsumption_resolution,[],[f511,f203]) ).
fof(f511,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(subsumption_resolution,[],[f510,f204]) ).
fof(f510,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(subsumption_resolution,[],[f509,f205]) ).
fof(f509,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(subsumption_resolution,[],[f508,f206]) ).
fof(f508,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(subsumption_resolution,[],[f494,f209]) ).
fof(f494,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(resolution,[],[f492,f208]) ).
fof(f492,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0) ),
inference(subsumption_resolution,[],[f491,f189]) ).
fof(f491,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f490,f190]) ).
fof(f490,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f489,f191]) ).
fof(f489,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f488,f192]) ).
fof(f488,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f487,f193]) ).
fof(f487,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f486,f194]) ).
fof(f486,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ 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,[],[f485,f196]) ).
fof(f485,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ 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,[],[f484,f198]) ).
fof(f484,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(sK0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ 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,[],[f483,f201]) ).
fof(f483,plain,
! [X0] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) = k2_rmod_2(sK0,X0)
| ~ 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,[],[f222,f197]) ).
fof(f222,plain,
! [X0,X1] :
( ~ v7_vectsp_1(X0)
| ~ 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)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1)
| ~ 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,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(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,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(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,[],[f8]) ).
fof(f8,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) )
=> g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',d4_rmod_2) ).
fof(f417,plain,
! [X0] :
( sK1 = g1_vectsp_2(X0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(X0,sK1))
| ~ v3_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[],[f223,f211]) ).
fof(f223,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& l1_struct_0(X0) )
=> ( v3_vectsp_2(X1,X0)
=> g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182',abstractness_v3_vectsp_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG219+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:54:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.NE5MsCUkyE/Vampire---4.8_12182
% 0.53/0.74 % (12291)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)
% 0.53/0.74 % (12292)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)
% 0.53/0.74 % (12294)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)
% 0.53/0.74 % (12295)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)
% 0.53/0.74 % (12296)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)
% 0.53/0.74 % (12298)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)
% 0.53/0.74 % (12297)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)
% 0.53/0.74 % (12293)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75 % (12291)Refutation not found, incomplete strategy% (12291)------------------------------
% 0.53/0.75 % (12291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (12291)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (12291)Memory used [KB]: 1167
% 0.53/0.75 % (12291)Time elapsed: 0.004 s
% 0.53/0.75 % (12291)Instructions burned: 12 (million)
% 0.53/0.75 % (12291)------------------------------
% 0.53/0.75 % (12291)------------------------------
% 0.53/0.75 % (12296)Refutation not found, incomplete strategy% (12296)------------------------------
% 0.53/0.75 % (12296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (12296)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (12296)Memory used [KB]: 1180
% 0.53/0.75 % (12296)Time elapsed: 0.006 s
% 0.53/0.75 % (12296)Instructions burned: 9 (million)
% 0.53/0.75 % (12296)------------------------------
% 0.53/0.75 % (12296)------------------------------
% 0.53/0.75 % (12299)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)
% 0.53/0.75 % (12300)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 (2996ds/50Mi)
% 0.53/0.76 % (12295)Instruction limit reached!
% 0.53/0.76 % (12295)------------------------------
% 0.53/0.76 % (12295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76 % (12295)Termination reason: Unknown
% 0.53/0.76 % (12295)Termination phase: Saturation
% 0.53/0.76
% 0.53/0.76 % (12295)Memory used [KB]: 1479
% 0.53/0.76 % (12295)Time elapsed: 0.015 s
% 0.53/0.76 % (12295)Instructions burned: 34 (million)
% 0.53/0.76 % (12295)------------------------------
% 0.53/0.76 % (12295)------------------------------
% 0.53/0.76 % (12294)Instruction limit reached!
% 0.53/0.76 % (12294)------------------------------
% 0.53/0.76 % (12294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76 % (12294)Termination reason: Unknown
% 0.53/0.76 % (12294)Termination phase: Saturation
% 0.53/0.76
% 0.53/0.76 % (12294)Memory used [KB]: 1410
% 0.53/0.76 % (12294)Time elapsed: 0.016 s
% 0.53/0.76 % (12294)Instructions burned: 33 (million)
% 0.53/0.76 % (12294)------------------------------
% 0.53/0.76 % (12294)------------------------------
% 0.53/0.76 % (12302)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 (2996ds/52Mi)
% 0.53/0.76 % (12299)Instruction limit reached!
% 0.53/0.76 % (12299)------------------------------
% 0.53/0.76 % (12299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76 % (12299)Termination reason: Unknown
% 0.53/0.76 % (12299)Termination phase: Saturation
% 0.53/0.76
% 0.53/0.76 % (12299)Memory used [KB]: 2230
% 0.53/0.76 % (12299)Time elapsed: 0.017 s
% 0.53/0.76 % (12299)Instructions burned: 57 (million)
% 0.53/0.76 % (12299)------------------------------
% 0.53/0.76 % (12299)------------------------------
% 0.53/0.77 % (12298)Instruction limit reached!
% 0.53/0.77 % (12298)------------------------------
% 0.53/0.77 % (12298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.77 % (12298)Termination reason: Unknown
% 0.53/0.77 % (12298)Termination phase: Saturation
% 0.53/0.77
% 0.53/0.77 % (12298)Memory used [KB]: 1833
% 0.53/0.77 % (12298)Time elapsed: 0.026 s
% 0.53/0.77 % (12298)Instructions burned: 56 (million)
% 0.53/0.77 % (12298)------------------------------
% 0.53/0.77 % (12298)------------------------------
% 0.53/0.77 % (12301)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 (2996ds/208Mi)
% 0.65/0.77 % (12292)Instruction limit reached!
% 0.65/0.77 % (12292)------------------------------
% 0.65/0.77 % (12292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (12292)Termination reason: Unknown
% 0.65/0.77 % (12292)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (12292)Memory used [KB]: 1569
% 0.65/0.77 % (12292)Time elapsed: 0.029 s
% 0.65/0.77 % (12292)Instructions burned: 51 (million)
% 0.65/0.77 % (12292)------------------------------
% 0.65/0.77 % (12292)------------------------------
% 0.65/0.77 % (12303)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 (2996ds/518Mi)
% 0.65/0.77 % (12300)Instruction limit reached!
% 0.65/0.77 % (12300)------------------------------
% 0.65/0.77 % (12300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (12300)Termination reason: Unknown
% 0.65/0.77 % (12300)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (12300)Memory used [KB]: 1641
% 0.65/0.77 % (12300)Time elapsed: 0.021 s
% 0.65/0.77 % (12300)Instructions burned: 51 (million)
% 0.65/0.77 % (12300)------------------------------
% 0.65/0.77 % (12300)------------------------------
% 0.65/0.77 % (12304)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 (2996ds/42Mi)
% 0.65/0.77 % (12305)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 (2996ds/243Mi)
% 0.65/0.78 % (12301)Refutation not found, incomplete strategy% (12301)------------------------------
% 0.65/0.78 % (12301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12301)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78
% 0.65/0.78 % (12301)Memory used [KB]: 1270
% 0.65/0.78 % (12301)Time elapsed: 0.010 s
% 0.65/0.78 % (12301)Instructions burned: 34 (million)
% 0.65/0.78 % (12301)------------------------------
% 0.65/0.78 % (12301)------------------------------
% 0.65/0.78 % (12297)Instruction limit reached!
% 0.65/0.78 % (12297)------------------------------
% 0.65/0.78 % (12297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12297)Termination reason: Unknown
% 0.65/0.78 % (12297)Termination phase: Saturation
% 0.65/0.78
% 0.65/0.78 % (12297)Memory used [KB]: 1404
% 0.65/0.78 % (12297)Time elapsed: 0.036 s
% 0.65/0.78 % (12297)Instructions burned: 85 (million)
% 0.65/0.78 % (12297)------------------------------
% 0.65/0.78 % (12297)------------------------------
% 0.65/0.78 % (12306)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.65/0.78 % (12307)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.65/0.78 % (12303)Refutation not found, incomplete strategy% (12303)------------------------------
% 0.65/0.78 % (12303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78 % (12308)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.65/0.78 % (12303)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78
% 0.65/0.78 % (12303)Memory used [KB]: 1365
% 0.65/0.78 % (12303)Time elapsed: 0.014 s
% 0.65/0.78 % (12303)Instructions burned: 29 (million)
% 0.65/0.78 % (12303)------------------------------
% 0.65/0.78 % (12303)------------------------------
% 0.65/0.79 % (12293)First to succeed.
% 0.65/0.79 % (12309)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.65/0.79 % (12302)Instruction limit reached!
% 0.65/0.79 % (12302)------------------------------
% 0.65/0.79 % (12302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79 % (12302)Termination reason: Unknown
% 0.65/0.79 % (12302)Termination phase: Saturation
% 0.65/0.79
% 0.65/0.79 % (12302)Memory used [KB]: 1761
% 0.65/0.79 % (12302)Time elapsed: 0.031 s
% 0.65/0.79 % (12302)Instructions burned: 53 (million)
% 0.65/0.79 % (12302)------------------------------
% 0.65/0.79 % (12302)------------------------------
% 0.65/0.79 % (12304)Instruction limit reached!
% 0.65/0.79 % (12304)------------------------------
% 0.65/0.79 % (12304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79 % (12304)Termination reason: Unknown
% 0.65/0.79 % (12304)Termination phase: Saturation
% 0.65/0.79
% 0.65/0.79 % (12304)Memory used [KB]: 1464
% 0.65/0.79 % (12304)Time elapsed: 0.020 s
% 0.65/0.79 % (12304)Instructions burned: 42 (million)
% 0.65/0.79 % (12304)------------------------------
% 0.65/0.79 % (12304)------------------------------
% 0.65/0.79 % (12293)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12290"
% 0.65/0.79 % (12293)Refutation found. Thanks to Tanya!
% 0.65/0.79 % SZS status Theorem for Vampire---4
% 0.65/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.79 % (12293)------------------------------
% 0.65/0.79 % (12293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79 % (12293)Termination reason: Refutation
% 0.65/0.79
% 0.65/0.79 % (12293)Memory used [KB]: 1614
% 0.65/0.79 % (12293)Time elapsed: 0.049 s
% 0.65/0.79 % (12293)Instructions burned: 75 (million)
% 0.65/0.79 % (12290)Success in time 0.413 s
% 0.65/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------