TSTP Solution File: ALG222+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG222+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 15:40:54 EDT 2022
% Result : Theorem 3.06s 0.78s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 47
% Syntax : Number of formulae : 212 ( 53 unt; 0 def)
% Number of atoms : 1133 ( 16 equ)
% Maximal formula atoms : 46 ( 5 avg)
% Number of connectives : 1497 ( 576 ~; 603 |; 251 &)
% ( 31 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 32 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 168 ( 144 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2352,plain,
$false,
inference(avatar_sat_refutation,[],[f564,f566,f568,f617,f640,f942,f958,f970,f972,f974,f976,f978,f980,f982,f984,f986,f988,f992,f994,f996,f998,f1042,f1044,f1117,f1228,f1367,f1587,f2056,f2059,f2258,f2349,f2351]) ).
fof(f2351,plain,
~ spl28_55,
inference(avatar_contradiction_clause,[],[f2350]) ).
fof(f2350,plain,
( $false
| ~ spl28_55 ),
inference(resolution,[],[f969,f360]) ).
fof(f360,plain,
~ v10_vectsp_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( v2_vectsp_2(sK19)
& v6_rlvect_1(sK19)
& v8_vectsp_1(sK19)
& ~ v3_struct_0(sK19)
& v5_rlvect_1(sK20)
& ~ v3_struct_0(sK20)
& ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22)))
& m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
& v5_vectsp_2(sK20,sK19)
& v6_rlvect_1(sK20)
& l1_vectsp_2(sK20,sK19)
& v4_rlvect_1(sK20)
& v3_rlvect_1(sK20)
& v7_group_1(sK19)
& ~ v10_vectsp_1(sK19)
& v7_vectsp_1(sK19)
& v5_rlvect_1(sK19)
& l3_vectsp_1(sK19)
& v4_rlvect_1(sK19)
& v3_rlvect_1(sK19)
& v4_group_1(sK19)
& v6_vectsp_1(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f155,f242,f241,f240,f239]) ).
fof(f239,plain,
( ? [X0] :
( v2_vectsp_2(X0)
& v6_rlvect_1(X0)
& v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& ~ v3_struct_0(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))) )
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1) )
& v7_group_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0) )
=> ( v2_vectsp_2(sK19)
& v6_rlvect_1(sK19)
& v8_vectsp_1(sK19)
& ~ v3_struct_0(sK19)
& ? [X1] :
( v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK19,k2_rmod_3(sK19,X1,k1_rmod_5(sK19,X1,X2),k1_rmod_5(sK19,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& v5_vectsp_2(X1,sK19)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,sK19)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1) )
& v7_group_1(sK19)
& ~ v10_vectsp_1(sK19)
& v7_vectsp_1(sK19)
& v5_rlvect_1(sK19)
& l3_vectsp_1(sK19)
& v4_rlvect_1(sK19)
& v3_rlvect_1(sK19)
& v4_group_1(sK19)
& v6_vectsp_1(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
( ? [X1] :
( v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK19,k2_rmod_3(sK19,X1,k1_rmod_5(sK19,X1,X2),k1_rmod_5(sK19,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& v5_vectsp_2(X1,sK19)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,sK19)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1) )
=> ( v5_rlvect_1(sK20)
& ~ v3_struct_0(sK20)
& ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),X2,X3)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,X2),k1_rmod_5(sK19,sK20,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK20))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK20))) )
& v5_vectsp_2(sK20,sK19)
& v6_rlvect_1(sK20)
& l1_vectsp_2(sK20,sK19)
& v4_rlvect_1(sK20)
& v3_rlvect_1(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),X2,X3)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,X2),k1_rmod_5(sK19,sK20,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK20))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK20))) )
=> ( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),sK21,X3)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK20))) )
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),sK21,X3)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK20))) )
=> ( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22)))
& m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
? [X0] :
( v2_vectsp_2(X0)
& v6_rlvect_1(X0)
& v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& ~ v3_struct_0(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))) )
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1) )
& v7_group_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,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))) )
& v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0) )
& v8_vectsp_1(X0)
& v2_vectsp_2(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v8_vectsp_1(X0)
& v2_vectsp_2(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0) )
=> ! [X1] :
( ( v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0) )
=> ! [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] :
( ( v8_vectsp_1(X0)
& v2_vectsp_2(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0) )
=> ! [X1] :
( ( v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0) )
=> ! [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/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(f969,plain,
( v10_vectsp_1(sK19)
| ~ spl28_55 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f967,plain,
( spl28_55
<=> v10_vectsp_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_55])]) ).
fof(f2349,plain,
spl28_92,
inference(avatar_contradiction_clause,[],[f2340]) ).
fof(f2340,plain,
( $false
| spl28_92 ),
inference(resolution,[],[f1097,f1335]) ).
fof(f1335,plain,
( ~ r1_tarski(k3_xboole_0(sK21,sK22),sK22)
| spl28_92 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl28_92
<=> r1_tarski(k3_xboole_0(sK21,sK22),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_92])]) ).
fof(f1097,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X0),
inference(superposition,[],[f261,f277]) ).
fof(f277,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f261,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X1),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X1),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X1,X0] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f2258,plain,
( ~ spl28_46
| ~ spl28_92
| spl28_55
| ~ spl28_45
| ~ spl28_34
| ~ spl28_37
| ~ spl28_38
| spl28_40
| ~ spl28_54
| ~ spl28_41
| ~ spl28_43
| ~ spl28_26
| ~ spl28_15
| ~ spl28_35
| ~ spl28_16
| ~ spl28_14
| ~ spl28_36
| ~ spl28_49
| ~ spl28_76
| spl28_13
| ~ spl28_39
| ~ spl28_32
| ~ spl28_42
| spl28_52 ),
inference(avatar_split_clause,[],[f2257,f935,f894,f854,f882,f513,f1225,f922,f870,f517,f525,f866,f521,f605,f898,f890,f963,f886,f878,f874,f862,f906,f967,f1333,f910]) ).
fof(f910,plain,
( spl28_46
<=> v3_rlvect_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_46])]) ).
fof(f906,plain,
( spl28_45
<=> v4_rlvect_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_45])]) ).
fof(f862,plain,
( spl28_34
<=> v7_vectsp_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
fof(f874,plain,
( spl28_37
<=> v5_rlvect_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_37])]) ).
fof(f878,plain,
( spl28_38
<=> v4_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_38])]) ).
fof(f886,plain,
( spl28_40
<=> v3_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_40])]) ).
fof(f963,plain,
( spl28_54
<=> v2_vectsp_2(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_54])]) ).
fof(f890,plain,
( spl28_41
<=> v5_rlvect_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_41])]) ).
fof(f898,plain,
( spl28_43
<=> l3_vectsp_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f605,plain,
( spl28_26
<=> m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_26])]) ).
fof(f521,plain,
( spl28_15
<=> v7_group_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f866,plain,
( spl28_35
<=> v5_vectsp_2(sK20,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_35])]) ).
fof(f525,plain,
( spl28_16
<=> v6_vectsp_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f517,plain,
( spl28_14
<=> v8_vectsp_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f870,plain,
( spl28_36
<=> v6_rlvect_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_36])]) ).
fof(f922,plain,
( spl28_49
<=> v6_rlvect_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_49])]) ).
fof(f1225,plain,
( spl28_76
<=> m1_subset_1(k3_xboole_0(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_76])]) ).
fof(f513,plain,
( spl28_13
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f882,plain,
( spl28_39
<=> v4_rlvect_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
fof(f854,plain,
( spl28_32
<=> l1_vectsp_2(sK20,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_32])]) ).
fof(f894,plain,
( spl28_42
<=> v3_rlvect_1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_42])]) ).
fof(f935,plain,
( spl28_52
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_52])]) ).
fof(f2257,plain,
( ~ v3_rlvect_1(sK19)
| ~ l1_vectsp_2(sK20,sK19)
| ~ v4_rlvect_1(sK19)
| v3_struct_0(sK19)
| ~ m1_subset_1(k3_xboole_0(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v6_rlvect_1(sK19)
| ~ v6_rlvect_1(sK20)
| ~ v8_vectsp_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| ~ v7_group_1(sK19)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l3_vectsp_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v2_vectsp_2(sK19)
| v3_struct_0(sK20)
| ~ v4_group_1(sK19)
| ~ v5_rlvect_1(sK20)
| ~ v7_vectsp_1(sK19)
| ~ v4_rlvect_1(sK20)
| v10_vectsp_1(sK19)
| ~ r1_tarski(k3_xboole_0(sK21,sK22),sK22)
| ~ v3_rlvect_1(sK20)
| spl28_52 ),
inference(resolution,[],[f937,f260]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ~ r1_tarski(X2,X3)
| ~ v4_group_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X0)
| ~ v4_rlvect_1(X1)
| ~ v7_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| v10_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v2_vectsp_2(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [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)) ) )
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| v3_struct_0(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v5_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v2_vectsp_2(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,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))) )
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v2_vectsp_2(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( ( v3_rlvect_1(X0)
& v8_vectsp_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v4_rlvect_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& l3_vectsp_1(X0)
& v7_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v7_group_1(X0)
& v2_vectsp_2(X0) )
=> ! [X1] :
( ( v3_rlvect_1(X1)
& v5_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [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/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f937,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK22))
| spl28_52 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f2059,plain,
spl28_115,
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2057,plain,
( $false
| spl28_115 ),
inference(resolution,[],[f2055,f261]) ).
fof(f2055,plain,
( ~ r1_tarski(k3_xboole_0(sK21,sK22),sK21)
| spl28_115 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2053,plain,
( spl28_115
<=> r1_tarski(k3_xboole_0(sK21,sK22),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_115])]) ).
fof(f2056,plain,
( ~ spl28_42
| ~ spl28_41
| ~ spl28_39
| ~ spl28_45
| ~ spl28_54
| ~ spl28_36
| ~ spl28_15
| ~ spl28_37
| ~ spl28_34
| ~ spl28_43
| ~ spl28_25
| ~ spl28_38
| ~ spl28_115
| spl28_40
| ~ spl28_46
| ~ spl28_76
| ~ spl28_16
| ~ spl28_49
| ~ spl28_14
| ~ spl28_35
| spl28_13
| spl28_55
| ~ spl28_32
| spl28_51 ),
inference(avatar_split_clause,[],[f2051,f931,f854,f967,f513,f866,f517,f922,f525,f1225,f910,f886,f2053,f878,f601,f898,f862,f874,f521,f870,f963,f906,f882,f890,f894]) ).
fof(f601,plain,
( spl28_25
<=> m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).
fof(f931,plain,
( spl28_51
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_51])]) ).
fof(f2051,plain,
( ~ l1_vectsp_2(sK20,sK19)
| v10_vectsp_1(sK19)
| v3_struct_0(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| ~ v8_vectsp_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ m1_subset_1(k3_xboole_0(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v3_rlvect_1(sK20)
| v3_struct_0(sK20)
| ~ r1_tarski(k3_xboole_0(sK21,sK22),sK21)
| ~ v4_group_1(sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l3_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v5_rlvect_1(sK20)
| ~ v7_group_1(sK19)
| ~ v6_rlvect_1(sK20)
| ~ v2_vectsp_2(sK19)
| ~ v4_rlvect_1(sK20)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v3_rlvect_1(sK19)
| spl28_51 ),
inference(resolution,[],[f933,f260]) ).
fof(f933,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK21))
| spl28_51 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f1587,plain,
( ~ spl28_26
| ~ spl28_27
| ~ spl28_25 ),
inference(avatar_split_clause,[],[f1586,f601,f609,f605]) ).
fof(f609,plain,
( spl28_27
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).
fof(f1586,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22)))
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(forward_demodulation,[],[f1559,f277]) ).
fof(f1559,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK22,sK21)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[],[f369,f634]) ).
fof(f634,plain,
! [X2,X3,X4] :
( k5_subset_1(X2,X4,X3) = k3_xboole_0(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f626]) ).
fof(f626,plain,
! [X2,X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| k5_subset_1(X2,X4,X3) = k3_xboole_0(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(superposition,[],[f339,f310]) ).
fof(f310,plain,
! [X2,X0,X1] :
( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X2,X0,X1] :
( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X0,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f339,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,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(rectify,[],[f175]) ).
fof(f175,plain,
! [X1,X2,X0] :
( k3_xboole_0(X2,X0) = k5_subset_1(X1,X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X2,X1,X0] :
( k3_xboole_0(X2,X0) = k5_subset_1(X1,X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X2,X1,X0] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k3_xboole_0(X2,X0) = k5_subset_1(X1,X2,X0) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X2,X0,X1] :
( ( 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/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f369,plain,
~ m1_rmod_2(k1_rmod_5(sK19,sK20,k5_subset_1(u1_struct_0(sK20),sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22))),
inference(cnf_transformation,[],[f243]) ).
fof(f1367,plain,
( ~ spl28_25
| ~ spl28_26
| spl28_76 ),
inference(avatar_split_clause,[],[f1357,f1225,f605,f601]) ).
fof(f1357,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl28_76 ),
inference(resolution,[],[f599,f1227]) ).
fof(f1227,plain,
( ~ m1_subset_1(k3_xboole_0(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| spl28_76 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f599,plain,
! [X3,X4,X5] :
( m1_subset_1(k3_xboole_0(X4,X5),k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f596,plain,
! [X3,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| m1_subset_1(k3_xboole_0(X4,X5),k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3)) ),
inference(superposition,[],[f320,f339]) ).
fof(f320,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X2,X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X2,X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X2,X1,X0] :
( m1_subset_1(k5_subset_1(X2,X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X2,X1,X0] :
( ( m1_subset_1(X0,k1_zfmisc_1(X2))
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(k5_subset_1(X2,X0,X1),k1_zfmisc_1(X2)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X2,X0] :
( ( 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/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f1228,plain,
( ~ spl28_14
| spl28_13
| ~ spl28_42
| ~ spl28_43
| ~ spl28_39
| ~ spl28_36
| ~ spl28_76
| spl28_40
| ~ spl28_37
| ~ spl28_38
| ~ spl28_35
| ~ spl28_54
| ~ spl28_41
| ~ spl28_16
| ~ spl28_45
| ~ spl28_34
| ~ spl28_46
| ~ spl28_32
| ~ spl28_15
| spl28_55
| ~ spl28_49
| spl28_53 ),
inference(avatar_split_clause,[],[f1223,f939,f922,f967,f521,f854,f910,f862,f906,f525,f890,f963,f866,f878,f874,f886,f1225,f870,f882,f898,f894,f513,f517]) ).
fof(f939,plain,
( spl28_53
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_53])]) ).
fof(f1223,plain,
( ~ v6_rlvect_1(sK19)
| v10_vectsp_1(sK19)
| ~ v7_group_1(sK19)
| ~ l1_vectsp_2(sK20,sK19)
| ~ v3_rlvect_1(sK20)
| ~ v7_vectsp_1(sK19)
| ~ v4_rlvect_1(sK20)
| ~ v6_vectsp_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| ~ v4_group_1(sK19)
| ~ v5_rlvect_1(sK20)
| v3_struct_0(sK20)
| ~ m1_subset_1(k3_xboole_0(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v6_rlvect_1(sK20)
| ~ v4_rlvect_1(sK19)
| ~ l3_vectsp_1(sK19)
| ~ v3_rlvect_1(sK19)
| v3_struct_0(sK19)
| ~ v8_vectsp_1(sK19)
| spl28_53 ),
inference(resolution,[],[f941,f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X2,X1,X0),X2,X1)
| ~ v4_group_1(X2)
| v3_struct_0(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v4_rlvect_1(X2)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X2)
| ~ v3_rlvect_1(X2)
| v10_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v7_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ v4_rlvect_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v7_vectsp_1(X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ( v3_vectsp_2(k1_rmod_5(X2,X1,X0),X2)
& m1_rmod_2(k1_rmod_5(X2,X1,X0),X2,X1) )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_rlvect_1(X1)
| ~ v2_vectsp_2(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X2,X1,X0] :
( ~ v4_rlvect_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_rlvect_1(X1)
| ~ v2_vectsp_2(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X1,X2,X0] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X0)
| ~ v2_vectsp_2(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| v10_vectsp_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X0] :
( ( v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& l3_vectsp_1(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v7_group_1(X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X0)
& v2_vectsp_2(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1)
& v5_rlvect_1(X0) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f941,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,sK20)
| spl28_53 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1117,plain,
( spl28_16
| ~ spl28_15
| spl28_13
| ~ spl28_14
| ~ spl28_43 ),
inference(avatar_split_clause,[],[f1116,f898,f517,f513,f521,f525]) ).
fof(f1116,plain,
( ~ v8_vectsp_1(sK19)
| v3_struct_0(sK19)
| ~ v7_group_1(sK19)
| v6_vectsp_1(sK19)
| ~ spl28_43 ),
inference(resolution,[],[f1102,f326]) ).
fof(f326,plain,
! [X0] :
( ~ l1_vectsp_1(X0)
| ~ v7_group_1(X0)
| v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v7_group_1(X0)
| ~ l1_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ( ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0) )
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v7_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v7_group_1(X0) )
=> ( ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v7_group_1(X0) )
=> ( v2_group_1(X0)
& v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_vectsp_2) ).
fof(f1102,plain,
( l1_vectsp_1(sK19)
| ~ spl28_43 ),
inference(resolution,[],[f989,f322]) ).
fof(f322,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| ( l2_struct_0(X0)
& l1_vectsp_1(X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l2_struct_0(X0)
& l1_vectsp_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f989,plain,
( l2_vectsp_1(sK19)
| ~ spl28_43 ),
inference(resolution,[],[f899,f292]) ).
fof(f292,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f899,plain,
( l3_vectsp_1(sK19)
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f1044,plain,
( ~ spl28_35
| ~ spl28_43
| ~ spl28_38
| ~ spl28_54
| ~ spl28_25
| ~ spl28_39
| ~ spl28_45
| spl28_40
| ~ spl28_49
| ~ spl28_42
| ~ spl28_16
| ~ spl28_14
| spl28_13
| ~ spl28_32
| spl28_55
| ~ spl28_46
| ~ spl28_34
| ~ spl28_41
| ~ spl28_36
| ~ spl28_37
| ~ spl28_15
| spl28_44 ),
inference(avatar_split_clause,[],[f1043,f902,f521,f874,f870,f890,f862,f910,f967,f854,f513,f517,f525,f894,f922,f886,f906,f882,f601,f963,f878,f898,f866]) ).
fof(f902,plain,
( spl28_44
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,sK21),sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_44])]) ).
fof(f1043,plain,
( ~ v7_group_1(sK19)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_rlvect_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v3_rlvect_1(sK20)
| v10_vectsp_1(sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v8_vectsp_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| v3_struct_0(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v4_rlvect_1(sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v2_vectsp_2(sK19)
| ~ v4_group_1(sK19)
| ~ l3_vectsp_1(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| spl28_44 ),
inference(resolution,[],[f904,f254]) ).
fof(f904,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,sK21),sK19,sK20)
| spl28_44 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f1042,plain,
~ spl28_40,
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| ~ spl28_40 ),
inference(resolution,[],[f888,f370]) ).
fof(f370,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f243]) ).
fof(f888,plain,
( v3_struct_0(sK20)
| ~ spl28_40 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f998,plain,
spl28_54,
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| spl28_54 ),
inference(resolution,[],[f965,f375]) ).
fof(f375,plain,
v2_vectsp_2(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f965,plain,
( ~ v2_vectsp_2(sK19)
| spl28_54 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f996,plain,
spl28_49,
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| spl28_49 ),
inference(resolution,[],[f924,f374]) ).
fof(f374,plain,
v6_rlvect_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f924,plain,
( ~ v6_rlvect_1(sK19)
| spl28_49 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f994,plain,
spl28_46,
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| spl28_46 ),
inference(resolution,[],[f912,f362]) ).
fof(f362,plain,
v3_rlvect_1(sK20),
inference(cnf_transformation,[],[f243]) ).
fof(f912,plain,
( ~ v3_rlvect_1(sK20)
| spl28_46 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f992,plain,
spl28_45,
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| spl28_45 ),
inference(resolution,[],[f908,f363]) ).
fof(f363,plain,
v4_rlvect_1(sK20),
inference(cnf_transformation,[],[f243]) ).
fof(f908,plain,
( ~ v4_rlvect_1(sK20)
| spl28_45 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f988,plain,
spl28_43,
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f987,plain,
( $false
| spl28_43 ),
inference(resolution,[],[f900,f357]) ).
fof(f357,plain,
l3_vectsp_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f900,plain,
( ~ l3_vectsp_1(sK19)
| spl28_43 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f986,plain,
spl28_42,
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f985,plain,
( $false
| spl28_42 ),
inference(resolution,[],[f896,f355]) ).
fof(f355,plain,
v3_rlvect_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f896,plain,
( ~ v3_rlvect_1(sK19)
| spl28_42 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f984,plain,
spl28_41,
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| spl28_41 ),
inference(resolution,[],[f892,f358]) ).
fof(f358,plain,
v5_rlvect_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f892,plain,
( ~ v5_rlvect_1(sK19)
| spl28_41 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f982,plain,
spl28_39,
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| spl28_39 ),
inference(resolution,[],[f884,f356]) ).
fof(f356,plain,
v4_rlvect_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f884,plain,
( ~ v4_rlvect_1(sK19)
| spl28_39 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f980,plain,
spl28_38,
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f979,plain,
( $false
| spl28_38 ),
inference(resolution,[],[f880,f354]) ).
fof(f354,plain,
v4_group_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f880,plain,
( ~ v4_group_1(sK19)
| spl28_38 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f978,plain,
spl28_37,
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| spl28_37 ),
inference(resolution,[],[f876,f371]) ).
fof(f371,plain,
v5_rlvect_1(sK20),
inference(cnf_transformation,[],[f243]) ).
fof(f876,plain,
( ~ v5_rlvect_1(sK20)
| spl28_37 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f976,plain,
spl28_36,
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| spl28_36 ),
inference(resolution,[],[f872,f365]) ).
fof(f365,plain,
v6_rlvect_1(sK20),
inference(cnf_transformation,[],[f243]) ).
fof(f872,plain,
( ~ v6_rlvect_1(sK20)
| spl28_36 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f974,plain,
spl28_35,
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| spl28_35 ),
inference(resolution,[],[f868,f366]) ).
fof(f366,plain,
v5_vectsp_2(sK20,sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f868,plain,
( ~ v5_vectsp_2(sK20,sK19)
| spl28_35 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f972,plain,
spl28_34,
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f971,plain,
( $false
| spl28_34 ),
inference(resolution,[],[f864,f359]) ).
fof(f359,plain,
v7_vectsp_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f864,plain,
( ~ v7_vectsp_1(sK19)
| spl28_34 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f970,plain,
( ~ spl28_32
| ~ spl28_16
| ~ spl28_45
| ~ spl28_34
| ~ spl28_38
| ~ spl28_37
| ~ spl28_35
| ~ spl28_54
| ~ spl28_49
| ~ spl28_46
| ~ spl28_43
| spl28_55
| ~ spl28_15
| ~ spl28_26
| ~ spl28_14
| spl28_13
| ~ spl28_36
| ~ spl28_42
| ~ spl28_41
| ~ spl28_39
| spl28_40
| spl28_33 ),
inference(avatar_split_clause,[],[f961,f858,f886,f882,f890,f894,f870,f513,f517,f605,f521,f967,f898,f910,f922,f963,f866,f874,f878,f862,f906,f525,f854]) ).
fof(f858,plain,
( spl28_33
<=> m1_rmod_2(k1_rmod_5(sK19,sK20,sK22),sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_33])]) ).
fof(f961,plain,
( v3_struct_0(sK20)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v6_rlvect_1(sK20)
| v3_struct_0(sK19)
| ~ v8_vectsp_1(sK19)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v7_group_1(sK19)
| v10_vectsp_1(sK19)
| ~ l3_vectsp_1(sK19)
| ~ v3_rlvect_1(sK20)
| ~ v6_rlvect_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| ~ v5_rlvect_1(sK20)
| ~ v4_group_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v4_rlvect_1(sK20)
| ~ v6_vectsp_1(sK19)
| ~ l1_vectsp_2(sK20,sK19)
| spl28_33 ),
inference(resolution,[],[f860,f254]) ).
fof(f860,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,sK22),sK19,sK20)
| spl28_33 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f958,plain,
spl28_32,
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| spl28_32 ),
inference(resolution,[],[f856,f364]) ).
fof(f364,plain,
l1_vectsp_2(sK20,sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f856,plain,
( ~ l1_vectsp_2(sK20,sK19)
| spl28_32 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f942,plain,
( ~ spl28_39
| ~ spl28_35
| ~ spl28_41
| ~ spl28_44
| ~ spl28_43
| ~ spl28_51
| ~ spl28_45
| ~ spl28_52
| spl28_40
| ~ spl28_42
| ~ spl28_33
| ~ spl28_38
| ~ spl28_32
| ~ spl28_53
| ~ spl28_37
| ~ spl28_14
| ~ spl28_34
| ~ spl28_49
| ~ spl28_36
| ~ spl28_16
| spl28_13
| ~ spl28_46
| spl28_27 ),
inference(avatar_split_clause,[],[f838,f609,f910,f513,f525,f870,f922,f862,f517,f874,f939,f854,f878,f858,f894,f886,f935,f906,f931,f898,f902,f890,f866,f882]) ).
fof(f838,plain,
( ~ v3_rlvect_1(sK20)
| v3_struct_0(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v6_rlvect_1(sK20)
| ~ v6_rlvect_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| ~ v5_rlvect_1(sK20)
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,sK20)
| ~ l1_vectsp_2(sK20,sK19)
| ~ v4_group_1(sK19)
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,sK22),sK19,sK20)
| ~ v3_rlvect_1(sK19)
| v3_struct_0(sK20)
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK22))
| ~ v4_rlvect_1(sK20)
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k1_rmod_5(sK19,sK20,sK21))
| ~ l3_vectsp_1(sK19)
| ~ m1_rmod_2(k1_rmod_5(sK19,sK20,sK21),sK19,sK20)
| ~ v5_rlvect_1(sK19)
| ~ v5_vectsp_2(sK20,sK19)
| ~ v4_rlvect_1(sK19)
| spl28_27 ),
inference(resolution,[],[f256,f611]) ).
fof(f611,plain,
( ~ m1_rmod_2(k1_rmod_5(sK19,sK20,k3_xboole_0(sK21,sK22)),sK19,k2_rmod_3(sK19,sK20,k1_rmod_5(sK19,sK20,sK21),k1_rmod_5(sK19,sK20,sK22)))
| spl28_27 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ v4_group_1(X0)
| ~ m1_rmod_2(X2,X0,X3)
| ~ v5_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_2(X4,X0,X1)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_rmod_2(X2,X0,X1)
| ~ v6_vectsp_1(X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ! [X2] :
( ~ m1_rmod_2(X2,X0,X1)
| ! [X3] :
( ! [X4] :
( ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4) )
| ~ m1_rmod_2(X3,X0,X1) ) )
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1) )
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ v4_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& v6_vectsp_1(X0)
& v5_rlvect_1(X0) )
=> ! [X1] :
( ( v4_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0) )
=> ! [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,X3)
& m1_rmod_2(X2,X0,X4) )
=> m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(f640,plain,
spl28_26,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| spl28_26 ),
inference(resolution,[],[f607,f368]) ).
fof(f368,plain,
m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f243]) ).
fof(f607,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl28_26 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f617,plain,
spl28_25,
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| spl28_25 ),
inference(resolution,[],[f603,f367]) ).
fof(f367,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f243]) ).
fof(f603,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| spl28_25 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f568,plain,
~ spl28_13,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl28_13 ),
inference(resolution,[],[f515,f372]) ).
fof(f372,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f515,plain,
( v3_struct_0(sK19)
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f566,plain,
spl28_14,
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| spl28_14 ),
inference(resolution,[],[f519,f373]) ).
fof(f373,plain,
v8_vectsp_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f519,plain,
( ~ v8_vectsp_1(sK19)
| spl28_14 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f564,plain,
spl28_15,
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f563,plain,
( $false
| spl28_15 ),
inference(resolution,[],[f523,f361]) ).
fof(f361,plain,
v7_group_1(sK19),
inference(cnf_transformation,[],[f243]) ).
fof(f523,plain,
( ~ v7_group_1(sK19)
| spl28_15 ),
inference(avatar_component_clause,[],[f521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG222+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Aug 29 15:00:00 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.16/0.48 % (4536)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (4537)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (4550)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.16/0.48 % (4528)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (4534)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49 % (4544)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49 % (4536)Instruction limit reached!
% 0.16/0.49 % (4536)------------------------------
% 0.16/0.49 % (4536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (4536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (4536)Termination reason: Unknown
% 0.16/0.50 % (4536)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (4536)Memory used [KB]: 6140
% 0.16/0.50 % (4536)Time elapsed: 0.006 s
% 0.16/0.50 % (4536)Instructions burned: 7 (million)
% 0.16/0.50 % (4536)------------------------------
% 0.16/0.50 % (4536)------------------------------
% 0.16/0.51 % (4529)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.51 % (4542)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.51 % (4545)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 % (4525)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.53 % (4524)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (4541)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.16/0.53 % (4532)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.54 % (4550)Instruction limit reached!
% 0.16/0.54 % (4550)------------------------------
% 0.16/0.54 % (4550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (4522)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.54 % (4526)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.54 % (4528)Instruction limit reached!
% 0.16/0.54 % (4528)------------------------------
% 0.16/0.54 % (4528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (4528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (4528)Termination reason: Unknown
% 0.16/0.54 % (4528)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (4528)Memory used [KB]: 6652
% 0.16/0.54 % (4528)Time elapsed: 0.142 s
% 0.16/0.54 % (4528)Instructions burned: 39 (million)
% 0.16/0.55 % (4528)------------------------------
% 0.16/0.55 % (4528)------------------------------
% 0.16/0.55 % (4540)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.16/0.55 % (4533)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.55 % (4543)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.55 % (4547)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (4550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (4550)Termination reason: Unknown
% 0.16/0.55 % (4550)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (4550)Memory used [KB]: 6396
% 0.16/0.55 % (4550)Time elapsed: 0.148 s
% 0.16/0.55 % (4550)Instructions burned: 25 (million)
% 0.16/0.55 % (4550)------------------------------
% 0.16/0.55 % (4550)------------------------------
% 0.16/0.55 % (4548)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.55 % (4549)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.55 % (4527)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.56 % (4532)Instruction limit reached!
% 0.16/0.56 % (4532)------------------------------
% 0.16/0.56 % (4532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (4532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (4532)Termination reason: Unknown
% 0.16/0.56 % (4532)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (4544)Instruction limit reached!
% 0.16/0.56 % (4544)------------------------------
% 0.16/0.56 % (4544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (4532)Memory used [KB]: 6268
% 0.16/0.56 % (4532)Time elapsed: 0.006 s
% 0.16/0.56 % (4544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (4532)Instructions burned: 7 (million)
% 0.16/0.56 % (4544)Termination reason: Unknown
% 0.16/0.56 % (4532)------------------------------
% 0.16/0.56 % (4532)------------------------------
% 0.16/0.56 % (4544)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (4544)Memory used [KB]: 2302
% 0.16/0.56 % (4544)Time elapsed: 0.154 s
% 0.16/0.56 % (4544)Instructions burned: 45 (million)
% 0.16/0.56 % (4544)------------------------------
% 0.16/0.56 % (4544)------------------------------
% 0.16/0.56 % (4525)Instruction limit reached!
% 0.16/0.56 % (4525)------------------------------
% 0.16/0.56 % (4525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (4525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (4525)Termination reason: Unknown
% 0.16/0.56 % (4525)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (4525)Memory used [KB]: 6268
% 0.16/0.56 % (4525)Time elapsed: 0.152 s
% 0.16/0.56 % (4525)Instructions burned: 13 (million)
% 0.16/0.56 % (4525)------------------------------
% 0.16/0.56 % (4525)------------------------------
% 0.16/0.56 % (4535)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.56 % (4535)Instruction limit reached!
% 0.16/0.56 % (4535)------------------------------
% 0.16/0.56 % (4535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (4535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (4535)Termination reason: Unknown
% 0.16/0.56 % (4535)Termination phase: shuffling
% 0.16/0.56
% 0.16/0.56 % (4535)Memory used [KB]: 1535
% 0.16/0.56 % (4535)Time elapsed: 0.003 s
% 0.16/0.56 % (4535)Instructions burned: 3 (million)
% 0.16/0.56 % (4535)------------------------------
% 0.16/0.56 % (4535)------------------------------
% 0.16/0.56 % (4540)Refutation not found, incomplete strategy% (4540)------------------------------
% 0.16/0.56 % (4540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (4540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (4540)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.56
% 0.16/0.56 % (4540)Memory used [KB]: 6396
% 0.16/0.56 % (4540)Time elapsed: 0.162 s
% 0.16/0.56 % (4540)Instructions burned: 10 (million)
% 0.16/0.56 % (4540)------------------------------
% 0.16/0.56 % (4540)------------------------------
% 0.16/0.56 % (4531)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.57 % (4522)Instruction limit reached!
% 0.16/0.57 % (4522)------------------------------
% 0.16/0.57 % (4522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (4522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57 % (4522)Termination reason: Unknown
% 0.16/0.57 % (4522)Termination phase: Saturation
% 0.16/0.57
% 0.16/0.57 % (4522)Memory used [KB]: 6268
% 0.16/0.57 % (4522)Time elapsed: 0.168 s
% 0.16/0.57 % (4522)Instructions burned: 14 (million)
% 0.16/0.57 % (4522)------------------------------
% 0.16/0.57 % (4522)------------------------------
% 0.16/0.57 % (4539)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.57 % (4529)Instruction limit reached!
% 0.16/0.57 % (4529)------------------------------
% 0.16/0.57 % (4529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (4539)Instruction limit reached!
% 0.16/0.57 % (4539)------------------------------
% 0.16/0.57 % (4539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (4539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57 % (4539)Termination reason: Unknown
% 0.16/0.57 % (4539)Termination phase: Unused predicate definition removal
% 0.16/0.57
% 0.16/0.57 % (4539)Memory used [KB]: 1535
% 0.16/0.57 % (4539)Time elapsed: 0.003 s
% 0.16/0.57 % (4539)Instructions burned: 2 (million)
% 0.16/0.57 % (4539)------------------------------
% 0.16/0.57 % (4539)------------------------------
% 0.16/0.57 % (4534)Instruction limit reached!
% 0.16/0.57 % (4534)------------------------------
% 0.16/0.57 % (4534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (4534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57 % (4534)Termination reason: Unknown
% 0.16/0.57 % (4534)Termination phase: Saturation
% 0.16/0.57
% 0.16/0.57 % (4534)Memory used [KB]: 7419
% 0.16/0.57 % (4534)Time elapsed: 0.160 s
% 0.16/0.57 % (4534)Instructions burned: 51 (million)
% 0.16/0.57 % (4534)------------------------------
% 0.16/0.57 % (4534)------------------------------
% 0.16/0.58 % (4533)Instruction limit reached!
% 0.16/0.58 % (4533)------------------------------
% 0.16/0.58 % (4533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (4533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (4533)Termination reason: Unknown
% 0.16/0.58 % (4533)Termination phase: Saturation
% 0.16/0.58
% 0.16/0.58 % (4533)Memory used [KB]: 1918
% 0.16/0.58 % (4533)Time elapsed: 0.179 s
% 0.16/0.58 % (4533)Instructions burned: 16 (million)
% 0.16/0.58 % (4533)------------------------------
% 0.16/0.58 % (4533)------------------------------
% 0.16/0.58 % (4549)Instruction limit reached!
% 0.16/0.58 % (4549)------------------------------
% 0.16/0.58 % (4549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (4549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (4549)Termination reason: Unknown
% 0.16/0.58 % (4549)Termination phase: Saturation
% 0.16/0.58
% 0.16/0.58 % (4549)Memory used [KB]: 1663
% 0.16/0.58 % (4549)Time elapsed: 0.006 s
% 0.16/0.58 % (4549)Instructions burned: 8 (million)
% 0.16/0.58 % (4549)------------------------------
% 0.16/0.58 % (4549)------------------------------
% 0.16/0.58 % (4548)Instruction limit reached!
% 0.16/0.58 % (4548)------------------------------
% 0.16/0.58 % (4548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (4541)Instruction limit reached!
% 0.16/0.58 % (4541)------------------------------
% 0.16/0.58 % (4541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (4526)Instruction limit reached!
% 0.16/0.58 % (4526)------------------------------
% 0.16/0.58 % (4526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (4526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (4526)Termination reason: Unknown
% 0.16/0.58 % (4526)Termination phase: Saturation
% 0.16/0.58
% 0.16/0.58 % (4526)Memory used [KB]: 1791
% 0.16/0.58 % (4526)Time elapsed: 0.170 s
% 0.16/0.58 % (4526)Instructions burned: 15 (million)
% 0.16/0.58 % (4526)------------------------------
% 0.16/0.58 % (4526)------------------------------
% 0.16/0.59 % (4529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (4529)Termination reason: Unknown
% 0.16/0.59 % (4529)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (4529)Memory used [KB]: 6652
% 0.16/0.59 % (4529)Time elapsed: 0.176 s
% 0.16/0.59 % (4529)Instructions burned: 49 (million)
% 0.16/0.59 % (4529)------------------------------
% 0.16/0.59 % (4529)------------------------------
% 0.16/0.59 % (4541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (4541)Termination reason: Unknown
% 0.16/0.59 % (4541)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (4541)Memory used [KB]: 6524
% 0.16/0.59 % (4541)Time elapsed: 0.178 s
% 0.16/0.59 % (4541)Instructions burned: 30 (million)
% 0.16/0.59 % (4541)------------------------------
% 0.16/0.59 % (4541)------------------------------
% 0.16/0.59 % (4538)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.59 % (4548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (4548)Termination reason: Unknown
% 0.16/0.59 % (4548)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (4548)Memory used [KB]: 6652
% 0.16/0.59 % (4548)Time elapsed: 0.176 s
% 0.16/0.59 % (4548)Instructions burned: 26 (million)
% 0.16/0.59 % (4548)------------------------------
% 0.16/0.59 % (4548)------------------------------
% 0.16/0.59 % (4538)Instruction limit reached!
% 0.16/0.59 % (4538)------------------------------
% 0.16/0.59 % (4538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59 % (4538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (4538)Termination reason: Unknown
% 0.16/0.59 % (4538)Termination phase: Preprocessing 3
% 0.16/0.59
% 0.16/0.59 % (4538)Memory used [KB]: 1535
% 0.16/0.59 % (4538)Time elapsed: 0.004 s
% 0.16/0.59 % (4538)Instructions burned: 3 (million)
% 0.16/0.59 % (4538)------------------------------
% 0.16/0.59 % (4538)------------------------------
% 0.16/0.59 % (4545)Instruction limit reached!
% 0.16/0.59 % (4545)------------------------------
% 0.16/0.59 % (4545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59 % (4545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (4545)Termination reason: Unknown
% 0.16/0.59 % (4545)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (4545)Memory used [KB]: 6524
% 0.16/0.59 % (4545)Time elapsed: 0.204 s
% 0.16/0.59 % (4545)Instructions burned: 51 (million)
% 0.16/0.59 % (4545)------------------------------
% 0.16/0.59 % (4545)------------------------------
% 0.16/0.60 % (4546)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.16/0.60 % (4537)Instruction limit reached!
% 0.16/0.60 % (4537)------------------------------
% 0.16/0.60 % (4537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60 % (4537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60 % (4537)Termination reason: Unknown
% 0.16/0.60 % (4537)Termination phase: Saturation
% 0.16/0.60
% 0.16/0.60 % (4537)Memory used [KB]: 7036
% 0.16/0.60 % (4537)Time elapsed: 0.196 s
% 0.16/0.60 % (4537)Instructions burned: 51 (million)
% 0.16/0.60 % (4537)------------------------------
% 0.16/0.60 % (4537)------------------------------
% 0.16/0.60 % (4531)Instruction limit reached!
% 0.16/0.60 % (4531)------------------------------
% 0.16/0.60 % (4531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60 % (4531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60 % (4531)Termination reason: Unknown
% 0.16/0.60 % (4531)Termination phase: Saturation
% 0.16/0.60
% 0.16/0.60 % (4531)Memory used [KB]: 6268
% 0.16/0.60 % (4531)Time elapsed: 0.194 s
% 0.16/0.60 % (4531)Instructions burned: 12 (million)
% 0.16/0.60 % (4531)------------------------------
% 0.16/0.60 % (4531)------------------------------
% 0.16/0.61 % (4530)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.62 % (4523)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.62 % (4523)Instruction limit reached!
% 0.16/0.62 % (4523)------------------------------
% 0.16/0.62 % (4523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62 % (4523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62 % (4523)Termination reason: Unknown
% 0.16/0.62 % (4523)Termination phase: Preprocessing 3
% 0.16/0.62
% 0.16/0.62 % (4523)Memory used [KB]: 1663
% 0.16/0.62 % (4523)Time elapsed: 0.005 s
% 0.16/0.62 % (4523)Instructions burned: 4 (million)
% 0.16/0.62 % (4523)------------------------------
% 0.16/0.62 % (4523)------------------------------
% 2.16/0.63 % (4542)Instruction limit reached!
% 2.16/0.63 % (4542)------------------------------
% 2.16/0.63 % (4542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (4542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (4542)Termination reason: Unknown
% 2.16/0.63 % (4542)Termination phase: Saturation
% 2.16/0.63
% 2.16/0.63 % (4542)Memory used [KB]: 7036
% 2.16/0.63 % (4542)Time elapsed: 0.225 s
% 2.16/0.63 % (4542)Instructions burned: 99 (million)
% 2.16/0.63 % (4542)------------------------------
% 2.16/0.63 % (4542)------------------------------
% 2.16/0.63 % (4521)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.43/0.65 % (4524)Instruction limit reached!
% 2.43/0.65 % (4524)------------------------------
% 2.43/0.65 % (4524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.65 % (4524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.65 % (4524)Termination reason: Unknown
% 2.43/0.65 % (4524)Termination phase: Saturation
% 2.43/0.65
% 2.43/0.65 % (4524)Memory used [KB]: 6524
% 2.43/0.65 % (4524)Time elapsed: 0.255 s
% 2.43/0.65 % (4524)Instructions burned: 51 (million)
% 2.43/0.65 % (4524)------------------------------
% 2.43/0.65 % (4524)------------------------------
% 2.43/0.66 % (4527)Instruction limit reached!
% 2.43/0.66 % (4527)------------------------------
% 2.43/0.66 % (4527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.66 % (4527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.66 % (4527)Termination reason: Unknown
% 2.43/0.66 % (4527)Termination phase: Saturation
% 2.43/0.66
% 2.43/0.66 % (4527)Memory used [KB]: 6396
% 2.43/0.66 % (4527)Time elapsed: 0.246 s
% 2.43/0.66 % (4527)Instructions burned: 40 (million)
% 2.43/0.66 % (4527)------------------------------
% 2.43/0.66 % (4527)------------------------------
% 2.43/0.68 % (4560)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.43/0.69 % (4530)Instruction limit reached!
% 2.43/0.69 % (4530)------------------------------
% 2.43/0.69 % (4530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.69 % (4530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.69 % (4530)Termination reason: Unknown
% 2.43/0.69 % (4530)Termination phase: Saturation
% 2.43/0.69
% 2.43/0.69 % (4530)Memory used [KB]: 6524
% 2.43/0.69 % (4530)Time elapsed: 0.272 s
% 2.43/0.69 % (4530)Instructions burned: 34 (million)
% 2.43/0.69 % (4530)------------------------------
% 2.43/0.69 % (4530)------------------------------
% 2.79/0.71 % (4556)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.79/0.72 % (4558)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.79/0.73 % (4551)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.79/0.73 % (4564)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.79/0.74 % (4567)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.79/0.74 % (4562)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.79/0.75 % (4543)First to succeed.
% 2.79/0.75 % (4565)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.79/0.75 % (4573)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 3.06/0.76 % (4552)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 3.06/0.76 % (4547)Instruction limit reached!
% 3.06/0.76 % (4547)------------------------------
% 3.06/0.76 % (4547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.76 % (4547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.76 % (4547)Termination reason: Unknown
% 3.06/0.76 % (4547)Termination phase: Saturation
% 3.06/0.76
% 3.06/0.76 % (4547)Memory used [KB]: 7547
% 3.06/0.76 % (4547)Time elapsed: 0.368 s
% 3.06/0.76 % (4547)Instructions burned: 99 (million)
% 3.06/0.76 % (4547)------------------------------
% 3.06/0.76 % (4547)------------------------------
% 3.06/0.76 % (4573)Instruction limit reached!
% 3.06/0.76 % (4573)------------------------------
% 3.06/0.76 % (4573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.76 % (4573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.76 % (4573)Termination reason: Unknown
% 3.06/0.76 % (4573)Termination phase: Saturation
% 3.06/0.76
% 3.06/0.76 % (4573)Memory used [KB]: 6268
% 3.06/0.76 % (4573)Time elapsed: 0.044 s
% 3.06/0.76 % (4573)Instructions burned: 10 (million)
% 3.06/0.76 % (4573)------------------------------
% 3.06/0.76 % (4573)------------------------------
% 3.06/0.77 % (4552)Instruction limit reached!
% 3.06/0.77 % (4552)------------------------------
% 3.06/0.77 % (4552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.77 % (4552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.77 % (4552)Termination reason: Unknown
% 3.06/0.77 % (4552)Termination phase: Saturation
% 3.06/0.77
% 3.06/0.77 % (4552)Memory used [KB]: 10746
% 3.06/0.77 % (4552)Time elapsed: 0.166 s
% 3.06/0.77 % (4552)Instructions burned: 8 (million)
% 3.06/0.77 % (4552)------------------------------
% 3.06/0.77 % (4552)------------------------------
% 3.06/0.77 % (4554)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 3.06/0.77 % (4559)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 3.06/0.77 % (4560)Instruction limit reached!
% 3.06/0.77 % (4560)------------------------------
% 3.06/0.77 % (4560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.77 % (4560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.77 % (4560)Termination reason: Unknown
% 3.06/0.77 % (4560)Termination phase: Saturation
% 3.06/0.77
% 3.06/0.77 % (4560)Memory used [KB]: 7291
% 3.06/0.77 % (4560)Time elapsed: 0.114 s
% 3.06/0.77 % (4560)Instructions burned: 68 (million)
% 3.06/0.77 % (4560)------------------------------
% 3.06/0.77 % (4560)------------------------------
% 3.06/0.78 % (4543)Refutation found. Thanks to Tanya!
% 3.06/0.78 % SZS status Theorem for theBenchmark
% 3.06/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.78 % (4543)------------------------------
% 3.06/0.78 % (4543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.78 % (4543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.78 % (4543)Termination reason: Refutation
% 3.06/0.78
% 3.06/0.78 % (4543)Memory used [KB]: 7547
% 3.06/0.78 % (4543)Time elapsed: 0.343 s
% 3.06/0.78 % (4543)Instructions burned: 66 (million)
% 3.06/0.78 % (4543)------------------------------
% 3.06/0.78 % (4543)------------------------------
% 3.06/0.78 % (4520)Success in time 0.422 s
%------------------------------------------------------------------------------