TSTP Solution File: ALG219+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG219+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 : n022.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 15:40:50 EDT 2022
% Result : Theorem 2.26s 0.74s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of formulae : 133 ( 35 unt; 0 def)
% Number of atoms : 1248 ( 113 equ)
% Maximal formula atoms : 50 ( 9 avg)
% Number of connectives : 1911 ( 796 ~; 830 |; 260 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 126 ( 111 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1107,plain,
$false,
inference(subsumption_resolution,[],[f1106,f289]) ).
fof(f289,plain,
v5_rlvect_1(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( l3_vectsp_1(sK11)
& v7_vectsp_1(sK11)
& v3_rlvect_1(sK11)
& v4_group_1(sK11)
& v5_rlvect_1(sK11)
& v8_vectsp_1(sK11)
& v2_vectsp_2(sK11)
& v5_rlvect_1(sK12)
& v4_rlvect_1(sK12)
& sK12 != k1_rmod_5(sK11,sK12,sK13)
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& sK13 = u1_struct_0(sK12)
& m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK12)))
& v3_rlvect_1(sK12)
& l1_vectsp_2(sK12,sK11)
& v3_vectsp_2(sK12,sK11)
& ~ v3_struct_0(sK12)
& v5_vectsp_2(sK12,sK11)
& v6_rlvect_1(sK12)
& v7_group_1(sK11)
& v6_vectsp_1(sK11)
& v4_rlvect_1(sK11)
& ~ v3_struct_0(sK11)
& ~ v10_vectsp_1(sK11)
& v6_rlvect_1(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f153,f194,f193,f192]) ).
fof(f192,plain,
( ? [X0] :
( l3_vectsp_1(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& v5_rlvect_1(X0)
& v8_vectsp_1(X0)
& v2_vectsp_2(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& v4_rlvect_1(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))) )
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0)
& ~ v10_vectsp_1(X0)
& v6_rlvect_1(X0) )
=> ( l3_vectsp_1(sK11)
& v7_vectsp_1(sK11)
& v3_rlvect_1(sK11)
& v4_group_1(sK11)
& v5_rlvect_1(sK11)
& v8_vectsp_1(sK11)
& v2_vectsp_2(sK11)
& ? [X1] :
( v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& ? [X2] :
( k1_rmod_5(sK11,X1,X2) != X1
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,sK11)
& v3_vectsp_2(X1,sK11)
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,sK11)
& v6_rlvect_1(X1) )
& v7_group_1(sK11)
& v6_vectsp_1(sK11)
& v4_rlvect_1(sK11)
& ~ v3_struct_0(sK11)
& ~ v10_vectsp_1(sK11)
& v6_rlvect_1(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ? [X1] :
( v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& ? [X2] :
( k1_rmod_5(sK11,X1,X2) != X1
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,sK11)
& v3_vectsp_2(X1,sK11)
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,sK11)
& v6_rlvect_1(X1) )
=> ( v5_rlvect_1(sK12)
& v4_rlvect_1(sK12)
& ? [X2] :
( sK12 != k1_rmod_5(sK11,sK12,X2)
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& u1_struct_0(sK12) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK12))) )
& v3_rlvect_1(sK12)
& l1_vectsp_2(sK12,sK11)
& v3_vectsp_2(sK12,sK11)
& ~ v3_struct_0(sK12)
& v5_vectsp_2(sK12,sK11)
& v6_rlvect_1(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X2] :
( sK12 != k1_rmod_5(sK11,sK12,X2)
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& u1_struct_0(sK12) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK12))) )
=> ( sK12 != k1_rmod_5(sK11,sK12,sK13)
& k2_group_1(sK11) != k1_rlvect_1(sK11)
& sK13 = u1_struct_0(sK12)
& m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK12))) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
? [X0] :
( l3_vectsp_1(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& v5_rlvect_1(X0)
& v8_vectsp_1(X0)
& v2_vectsp_2(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& v4_rlvect_1(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))) )
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0)
& ~ v10_vectsp_1(X0)
& v6_rlvect_1(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rlvect_1(X0) != k2_group_1(X0)
& k1_rmod_5(X0,X1,X2) != X1
& u1_struct_0(X1) = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& v6_rlvect_1(X1)
& v3_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1) )
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v5_rlvect_1(X0)
& v2_vectsp_2(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& v5_rlvect_1(X0)
& v2_vectsp_2(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( v6_rlvect_1(X1)
& v3_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X1 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& v5_rlvect_1(X0)
& v2_vectsp_2(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v10_vectsp_1(X0)
& v7_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( v6_rlvect_1(X1)
& v3_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( u1_struct_0(X1) = X2
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_rmod_5) ).
fof(f1106,plain,
~ v5_rlvect_1(sK12),
inference(subsumption_resolution,[],[f1105,f279]) ).
fof(f279,plain,
v5_vectsp_2(sK12,sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f1105,plain,
( ~ v5_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f1104,f288]) ).
fof(f288,plain,
v4_rlvect_1(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f1104,plain,
( ~ v4_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f1103,f280]) ).
fof(f280,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f1103,plain,
( v3_struct_0(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11) ),
inference(subsumption_resolution,[],[f1102,f283]) ).
fof(f283,plain,
v3_rlvect_1(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f1102,plain,
( ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| v3_struct_0(sK12) ),
inference(subsumption_resolution,[],[f1101,f282]) ).
fof(f282,plain,
l1_vectsp_2(sK12,sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f1101,plain,
( ~ l1_vectsp_2(sK12,sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v4_rlvect_1(sK12)
| ~ v3_rlvect_1(sK12)
| v3_struct_0(sK12)
| ~ v5_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f1100,f935]) ).
fof(f935,plain,
~ m1_rmod_2(sK12,sK11,sK12),
inference(subsumption_resolution,[],[f934,f281]) ).
fof(f281,plain,
v3_vectsp_2(sK12,sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f934,plain,
( ~ m1_rmod_2(sK12,sK11,sK12)
| ~ v3_vectsp_2(sK12,sK11) ),
inference(subsumption_resolution,[],[f933,f373]) ).
fof(f373,plain,
m1_subset_1(sK13,k1_zfmisc_1(sK13)),
inference(backward_demodulation,[],[f284,f285]) ).
fof(f285,plain,
sK13 = u1_struct_0(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f284,plain,
m1_subset_1(sK13,k1_zfmisc_1(u1_struct_0(sK12))),
inference(cnf_transformation,[],[f195]) ).
fof(f933,plain,
( ~ m1_rmod_2(sK12,sK11,sK12)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sK13))
| ~ v3_vectsp_2(sK12,sK11) ),
inference(subsumption_resolution,[],[f932,f287]) ).
fof(f287,plain,
sK12 != k1_rmod_5(sK11,sK12,sK13),
inference(cnf_transformation,[],[f195]) ).
fof(f932,plain,
( sK12 = k1_rmod_5(sK11,sK12,sK13)
| ~ v3_vectsp_2(sK12,sK11)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sK13))
| ~ m1_rmod_2(sK12,sK11,sK12) ),
inference(superposition,[],[f861,f285]) ).
fof(f861,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v3_vectsp_2(X0,sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ m1_rmod_2(X0,sK11,sK12) ),
inference(subsumption_resolution,[],[f860,f296]) ).
fof(f296,plain,
l3_vectsp_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f860,plain,
! [X0] :
( ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v3_vectsp_2(X0,sK11)
| ~ l3_vectsp_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ m1_rmod_2(X0,sK11,sK12) ),
inference(subsumption_resolution,[],[f859,f277]) ).
fof(f277,plain,
v7_group_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f859,plain,
! [X0] :
( ~ v7_group_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v3_vectsp_2(X0,sK11)
| ~ m1_rmod_2(X0,sK11,sK12) ),
inference(subsumption_resolution,[],[f858,f292]) ).
fof(f292,plain,
v5_rlvect_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f858,plain,
! [X0] :
( ~ v5_rlvect_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ v3_vectsp_2(X0,sK11)
| ~ v7_group_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13)) ),
inference(subsumption_resolution,[],[f857,f282]) ).
fof(f857,plain,
! [X0] :
( ~ l1_vectsp_2(sK12,sK11)
| ~ v7_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v5_rlvect_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(sK11) ),
inference(subsumption_resolution,[],[f856,f279]) ).
fof(f856,plain,
! [X0] :
( k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v5_vectsp_2(sK12,sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v5_rlvect_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v7_group_1(sK11)
| ~ l1_vectsp_2(sK12,sK11) ),
inference(subsumption_resolution,[],[f855,f294]) ).
fof(f294,plain,
v3_rlvect_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f855,plain,
! [X0] :
( ~ v3_rlvect_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v7_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f854,f272]) ).
fof(f272,plain,
v6_rlvect_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f854,plain,
! [X0] :
( ~ v6_rlvect_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v3_rlvect_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ l1_vectsp_2(sK12,sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v7_group_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ v5_rlvect_1(sK11)
| ~ l3_vectsp_1(sK11) ),
inference(subsumption_resolution,[],[f853,f291]) ).
fof(f291,plain,
v8_vectsp_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f853,plain,
! [X0] :
( ~ v8_vectsp_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ v5_rlvect_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ v7_group_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ l1_vectsp_2(sK12,sK11)
| ~ v6_rlvect_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v3_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f852,f293]) ).
fof(f293,plain,
v4_group_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f852,plain,
! [X0] :
( ~ v4_group_1(sK11)
| ~ v3_rlvect_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ l1_vectsp_2(sK12,sK11)
| ~ v7_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ l3_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v6_rlvect_1(sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f851,f273]) ).
fof(f273,plain,
~ v10_vectsp_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f851,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK11,sK12)
| v10_vectsp_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v5_rlvect_1(sK11)
| ~ v4_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v7_group_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v6_rlvect_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v3_rlvect_1(sK11)
| ~ v5_vectsp_2(sK12,sK11) ),
inference(subsumption_resolution,[],[f850,f295]) ).
fof(f295,plain,
v7_vectsp_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f850,plain,
! [X0] :
( ~ v7_vectsp_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v3_vectsp_2(X0,sK11)
| ~ l3_vectsp_1(sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v6_rlvect_1(sK11)
| ~ v7_group_1(sK11)
| v10_vectsp_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ v8_vectsp_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v3_rlvect_1(sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v4_group_1(sK11)
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f849,f276]) ).
fof(f276,plain,
v6_vectsp_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f849,plain,
! [X0] :
( ~ v6_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ v7_vectsp_1(sK11)
| ~ v7_group_1(sK11)
| ~ v6_rlvect_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v4_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ l1_vectsp_2(sK12,sK11)
| v10_vectsp_1(sK11)
| ~ v3_rlvect_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f848,f286]) ).
fof(f286,plain,
k2_group_1(sK11) != k1_rlvect_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f848,plain,
! [X0] :
( k2_group_1(sK11) = k1_rlvect_1(sK11)
| v10_vectsp_1(sK11)
| ~ v4_group_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ v6_vectsp_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v3_rlvect_1(sK11)
| ~ v6_rlvect_1(sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v8_vectsp_1(sK11)
| ~ v7_vectsp_1(sK11)
| ~ v5_rlvect_1(sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v7_group_1(sK11) ),
inference(subsumption_resolution,[],[f847,f275]) ).
fof(f275,plain,
v4_rlvect_1(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f847,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK11,sK12)
| ~ v4_rlvect_1(sK11)
| v10_vectsp_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ v6_rlvect_1(sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK11)
| ~ v4_group_1(sK11)
| ~ v7_vectsp_1(sK11)
| ~ l3_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ v3_rlvect_1(sK11)
| ~ v6_vectsp_1(sK11)
| k2_group_1(sK11) = k1_rlvect_1(sK11)
| ~ v7_group_1(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0 ),
inference(subsumption_resolution,[],[f846,f274]) ).
fof(f274,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f846,plain,
! [X0] :
( v3_struct_0(sK11)
| k1_rmod_5(sK11,sK12,u1_struct_0(X0)) = X0
| ~ v6_rlvect_1(sK11)
| ~ v6_vectsp_1(sK11)
| ~ v7_vectsp_1(sK11)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(sK11)
| ~ v4_group_1(sK11)
| ~ v3_vectsp_2(X0,sK11)
| ~ m1_rmod_2(X0,sK11,sK12)
| ~ v8_vectsp_1(sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v7_group_1(sK11)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v4_rlvect_1(sK11)
| ~ v3_rlvect_1(sK11)
| v10_vectsp_1(sK11)
| ~ v5_rlvect_1(sK11)
| k2_group_1(sK11) = k1_rlvect_1(sK11) ),
inference(resolution,[],[f600,f290]) ).
fof(f290,plain,
v2_vectsp_2(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f600,plain,
! [X4,X5] :
( ~ v2_vectsp_2(X5)
| ~ v3_vectsp_2(X4,X5)
| ~ v6_vectsp_1(X5)
| v3_struct_0(X5)
| ~ m1_rmod_2(X4,X5,sK12)
| ~ v3_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v5_vectsp_2(sK12,X5)
| ~ v8_vectsp_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v7_vectsp_1(X5)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(X5)
| ~ l1_vectsp_2(sK12,X5)
| ~ v7_group_1(X5)
| v10_vectsp_1(X5)
| k2_group_1(X5) = k1_rlvect_1(X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4 ),
inference(subsumption_resolution,[],[f599,f288]) ).
fof(f599,plain,
! [X4,X5] :
( ~ v5_rlvect_1(X5)
| ~ v7_vectsp_1(X5)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13))
| ~ l3_vectsp_1(X5)
| ~ v3_vectsp_2(X4,X5)
| ~ v6_rlvect_1(X5)
| ~ l1_vectsp_2(sK12,X5)
| ~ v2_vectsp_2(X5)
| ~ v4_rlvect_1(sK12)
| ~ v6_vectsp_1(X5)
| ~ v5_vectsp_2(sK12,X5)
| ~ v4_rlvect_1(X5)
| ~ v4_group_1(X5)
| k2_group_1(X5) = k1_rlvect_1(X5)
| v10_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ m1_rmod_2(X4,X5,sK12)
| ~ v3_rlvect_1(X5)
| ~ v7_group_1(X5)
| v3_struct_0(X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4 ),
inference(subsumption_resolution,[],[f598,f289]) ).
fof(f598,plain,
! [X4,X5] :
( ~ m1_rmod_2(X4,X5,sK12)
| ~ v4_group_1(X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4
| ~ v3_vectsp_2(X4,X5)
| ~ l3_vectsp_1(X5)
| ~ v3_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ l1_vectsp_2(sK12,X5)
| ~ v7_group_1(X5)
| ~ v2_vectsp_2(X5)
| v10_vectsp_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| k2_group_1(X5) = k1_rlvect_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,X5)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(X5)
| v3_struct_0(X5)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13)) ),
inference(subsumption_resolution,[],[f597,f280]) ).
fof(f597,plain,
! [X4,X5] :
( k2_group_1(X5) = k1_rlvect_1(X5)
| v3_struct_0(X5)
| ~ v5_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4
| ~ v3_rlvect_1(X5)
| v3_struct_0(sK12)
| ~ v7_vectsp_1(X5)
| ~ v3_vectsp_2(X4,X5)
| ~ v8_vectsp_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_rlvect_1(sK12)
| ~ m1_rmod_2(X4,X5,sK12)
| ~ l3_vectsp_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_vectsp_2(sK12,X5)
| ~ l1_vectsp_2(sK12,X5)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13))
| ~ v2_vectsp_2(X5)
| ~ v4_rlvect_1(sK12)
| v10_vectsp_1(X5) ),
inference(subsumption_resolution,[],[f596,f278]) ).
fof(f278,plain,
v6_rlvect_1(sK12),
inference(cnf_transformation,[],[f195]) ).
fof(f596,plain,
! [X4,X5] :
( k2_group_1(X5) = k1_rlvect_1(X5)
| ~ v6_rlvect_1(sK12)
| v3_struct_0(sK12)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13))
| v3_struct_0(X5)
| ~ v7_group_1(X5)
| ~ m1_rmod_2(X4,X5,sK12)
| ~ l3_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| v10_vectsp_1(X5)
| ~ l1_vectsp_2(sK12,X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4
| ~ v8_vectsp_1(X5)
| ~ v4_group_1(X5)
| ~ v2_vectsp_2(X5)
| ~ v6_rlvect_1(X5)
| ~ v3_vectsp_2(X4,X5)
| ~ v5_vectsp_2(sK12,X5)
| ~ v4_rlvect_1(X5)
| ~ v3_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_vectsp_1(X5) ),
inference(subsumption_resolution,[],[f556,f283]) ).
fof(f556,plain,
! [X4,X5] :
( ~ v6_rlvect_1(X5)
| ~ v3_rlvect_1(sK12)
| ~ m1_rmod_2(X4,X5,sK12)
| ~ v8_vectsp_1(X5)
| ~ v3_vectsp_2(X4,X5)
| ~ m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(sK13))
| ~ v6_vectsp_1(X5)
| ~ v7_group_1(X5)
| ~ v3_rlvect_1(X5)
| ~ v2_vectsp_2(X5)
| ~ v5_vectsp_2(sK12,X5)
| ~ v4_group_1(X5)
| v3_struct_0(X5)
| ~ v5_rlvect_1(X5)
| k2_group_1(X5) = k1_rlvect_1(X5)
| ~ l3_vectsp_1(X5)
| ~ v4_rlvect_1(sK12)
| v10_vectsp_1(X5)
| k1_rmod_5(X5,sK12,u1_struct_0(X4)) = X4
| ~ v4_rlvect_1(X5)
| v3_struct_0(sK12)
| ~ v6_rlvect_1(sK12)
| ~ l1_vectsp_2(sK12,X5)
| ~ v7_vectsp_1(X5)
| ~ v5_rlvect_1(sK12) ),
inference(superposition,[],[f372,f285]) ).
fof(f372,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_vectsp_2(X3,X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_rmod_2(X3,X0,X1)
| v10_vectsp_1(X0)
| k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v7_group_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_group_1(X0)
| ~ v2_vectsp_2(X0)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(equality_resolution,[],[f358]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_rmod_2(X3,X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v3_vectsp_2(X3,X0)
| u1_struct_0(X3) != X2
| k1_rmod_5(X0,X1,X2) = X3
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ! [X3] :
( ~ m1_rmod_2(X3,X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v3_vectsp_2(X3,X0)
| u1_struct_0(X3) != X2
| k1_rmod_5(X0,X1,X2) = X3 ) )
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) )
| ~ v6_rlvect_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X3
| u1_struct_0(X3) != X2
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ v7_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& v7_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v6_rlvect_1(X0)
& v3_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0) )
=> ! [X1] :
( ( v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v3_vectsp_2(X3,X0)
& m1_rmod_2(X3,X0,X1) )
=> ( u1_struct_0(X3) = X2
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_rmod_5) ).
fof(f1100,plain,
( m1_rmod_2(sK12,sK11,sK12)
| ~ v5_rlvect_1(sK12)
| v3_struct_0(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| ~ l1_vectsp_2(sK12,sK11)
| ~ v3_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f1098,f278]) ).
fof(f1098,plain,
( ~ v6_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v3_rlvect_1(sK12)
| v3_struct_0(sK12)
| ~ l1_vectsp_2(sK12,sK11)
| m1_rmod_2(sK12,sK11,sK12)
| ~ v5_vectsp_2(sK12,sK11) ),
inference(superposition,[],[f403,f1092]) ).
fof(f1092,plain,
sK12 = k2_rmod_2(sK11,sK12),
inference(backward_demodulation,[],[f842,f1091]) ).
fof(f1091,plain,
sK12 = g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)),
inference(subsumption_resolution,[],[f1090,f282]) ).
fof(f1090,plain,
( ~ l1_vectsp_2(sK12,sK11)
| sK12 = g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) ),
inference(subsumption_resolution,[],[f1084,f281]) ).
fof(f1084,plain,
( ~ v3_vectsp_2(sK12,sK11)
| ~ l1_vectsp_2(sK12,sK11)
| sK12 = g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) ),
inference(superposition,[],[f634,f285]) ).
fof(f634,plain,
! [X2] :
( g1_vectsp_2(sK11,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(sK11,X2)) = X2
| ~ v3_vectsp_2(X2,sK11)
| ~ l1_vectsp_2(X2,sK11) ),
inference(resolution,[],[f629,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| 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) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,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 ),
inference(flattening,[],[f149]) ).
fof(f149,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_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( l1_struct_0(X0)
& l1_vectsp_2(X1,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/sandbox/benchmark/theBenchmark.p',abstractness_v3_vectsp_2) ).
fof(f629,plain,
l1_struct_0(sK11),
inference(resolution,[],[f543,f301]) ).
fof(f301,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,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/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f543,plain,
l2_struct_0(sK11),
inference(resolution,[],[f404,f332]) ).
fof(f332,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f404,plain,
l1_rlvect_1(sK11),
inference(resolution,[],[f296,f232]) ).
fof(f232,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,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/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f842,plain,
g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12),
inference(subsumption_resolution,[],[f841,f278]) ).
fof(f841,plain,
( g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v6_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f840,f283]) ).
fof(f840,plain,
( ~ v3_rlvect_1(sK12)
| g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v6_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f839,f288]) ).
fof(f839,plain,
( g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v4_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v3_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f838,f279]) ).
fof(f838,plain,
( ~ v5_vectsp_2(sK12,sK11)
| ~ v6_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v3_rlvect_1(sK12)
| g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12) ),
inference(subsumption_resolution,[],[f837,f289]) ).
fof(f837,plain,
( g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v5_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v6_rlvect_1(sK12)
| ~ v3_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f836,f280]) ).
fof(f836,plain,
( v3_struct_0(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v3_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12) ),
inference(subsumption_resolution,[],[f834,f282]) ).
fof(f834,plain,
( ~ l1_vectsp_2(sK12,sK11)
| ~ v3_rlvect_1(sK12)
| g1_vectsp_2(sK11,sK13,u1_rlvect_1(sK12),u2_struct_0(sK12),u1_vectsp_2(sK11,sK12)) = k2_rmod_2(sK11,sK12)
| ~ v4_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v5_vectsp_2(sK12,sK11)
| ~ v5_rlvect_1(sK12)
| v3_struct_0(sK12) ),
inference(superposition,[],[f520,f285]) ).
fof(f520,plain,
! [X18] :
( k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v4_rlvect_1(X18)
| ~ l1_vectsp_2(X18,sK11)
| ~ v6_rlvect_1(X18)
| ~ v5_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v3_rlvect_1(X18)
| ~ v5_vectsp_2(X18,sK11) ),
inference(subsumption_resolution,[],[f519,f275]) ).
fof(f519,plain,
! [X18] :
( ~ v3_rlvect_1(X18)
| ~ l1_vectsp_2(X18,sK11)
| ~ v6_rlvect_1(X18)
| ~ v4_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v5_vectsp_2(X18,sK11)
| ~ v5_rlvect_1(X18)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v4_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f518,f295]) ).
fof(f518,plain,
! [X18] :
( ~ v7_vectsp_1(sK11)
| ~ v4_rlvect_1(sK11)
| ~ v4_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v3_rlvect_1(X18)
| ~ l1_vectsp_2(X18,sK11)
| ~ v5_vectsp_2(X18,sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v6_rlvect_1(X18)
| ~ v5_rlvect_1(X18) ),
inference(subsumption_resolution,[],[f517,f291]) ).
fof(f517,plain,
! [X18] :
( ~ v3_rlvect_1(X18)
| ~ l1_vectsp_2(X18,sK11)
| ~ v4_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v8_vectsp_1(sK11)
| ~ v5_rlvect_1(X18)
| ~ v5_vectsp_2(X18,sK11)
| ~ v6_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v7_vectsp_1(sK11) ),
inference(subsumption_resolution,[],[f516,f276]) ).
fof(f516,plain,
! [X18] :
( ~ v6_vectsp_1(sK11)
| ~ l1_vectsp_2(X18,sK11)
| v3_struct_0(X18)
| ~ v5_rlvect_1(X18)
| ~ v7_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v6_rlvect_1(X18)
| ~ v3_rlvect_1(X18)
| ~ v5_vectsp_2(X18,sK11)
| ~ v4_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18)) ),
inference(subsumption_resolution,[],[f515,f274]) ).
fof(f515,plain,
! [X18] :
( v3_struct_0(sK11)
| ~ v7_vectsp_1(sK11)
| v3_struct_0(X18)
| ~ v8_vectsp_1(sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v5_vectsp_2(X18,sK11)
| ~ v6_rlvect_1(X18)
| ~ v3_rlvect_1(X18)
| ~ v6_vectsp_1(sK11)
| ~ l1_vectsp_2(X18,sK11)
| ~ v5_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| ~ v4_rlvect_1(X18) ),
inference(subsumption_resolution,[],[f514,f294]) ).
fof(f514,plain,
! [X18] :
( ~ l1_vectsp_2(X18,sK11)
| ~ v5_rlvect_1(X18)
| ~ v3_rlvect_1(sK11)
| v3_struct_0(sK11)
| ~ v8_vectsp_1(sK11)
| v3_struct_0(X18)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v6_vectsp_1(sK11)
| ~ v5_vectsp_2(X18,sK11)
| ~ v3_rlvect_1(X18)
| ~ v7_vectsp_1(sK11)
| ~ v6_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| ~ v4_rlvect_1(X18) ),
inference(subsumption_resolution,[],[f513,f293]) ).
fof(f513,plain,
! [X18] :
( ~ v4_group_1(sK11)
| ~ v6_rlvect_1(X18)
| ~ l1_vectsp_2(X18,sK11)
| ~ v7_vectsp_1(sK11)
| ~ v3_rlvect_1(sK11)
| ~ v4_rlvect_1(X18)
| v3_struct_0(sK11)
| ~ v5_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v5_vectsp_2(X18,sK11)
| ~ v8_vectsp_1(sK11)
| ~ v3_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v6_vectsp_1(sK11) ),
inference(subsumption_resolution,[],[f512,f292]) ).
fof(f512,plain,
! [X18] :
( ~ v5_vectsp_2(X18,sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v5_rlvect_1(sK11)
| ~ v6_rlvect_1(X18)
| ~ v3_rlvect_1(X18)
| ~ v7_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v4_rlvect_1(X18)
| ~ v4_rlvect_1(sK11)
| ~ v4_group_1(sK11)
| v3_struct_0(sK11)
| ~ v5_rlvect_1(X18)
| v3_struct_0(X18)
| ~ v3_rlvect_1(sK11)
| ~ l1_vectsp_2(X18,sK11)
| ~ v6_vectsp_1(sK11) ),
inference(subsumption_resolution,[],[f417,f272]) ).
fof(f417,plain,
! [X18] :
( ~ v6_rlvect_1(sK11)
| ~ l1_vectsp_2(X18,sK11)
| ~ v4_group_1(sK11)
| ~ v5_rlvect_1(X18)
| ~ v8_vectsp_1(sK11)
| k2_rmod_2(sK11,X18) = g1_vectsp_2(sK11,u1_struct_0(X18),u1_rlvect_1(X18),u2_struct_0(X18),u1_vectsp_2(sK11,X18))
| ~ v6_vectsp_1(sK11)
| ~ v4_rlvect_1(sK11)
| ~ v7_vectsp_1(sK11)
| ~ v4_rlvect_1(X18)
| v3_struct_0(sK11)
| ~ v3_rlvect_1(sK11)
| ~ v5_vectsp_2(X18,sK11)
| ~ v6_rlvect_1(X18)
| ~ v5_rlvect_1(sK11)
| v3_struct_0(X18)
| ~ v3_rlvect_1(X18) ),
inference(resolution,[],[f296,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ~ l3_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_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v7_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(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)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,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)
| ~ v3_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( v6_rlvect_1(X0)
& l3_vectsp_1(X0)
& v3_rlvect_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0) )
=> ! [X1] :
( ( v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v4_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/sandbox/benchmark/theBenchmark.p',d4_rmod_2) ).
fof(f403,plain,
! [X4] :
( m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ v6_rlvect_1(X4)
| v3_struct_0(X4)
| ~ v5_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| ~ l1_vectsp_2(X4,sK11)
| ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X4) ),
inference(subsumption_resolution,[],[f402,f292]) ).
fof(f402,plain,
! [X4] :
( ~ v6_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ l1_vectsp_2(X4,sK11)
| ~ v3_rlvect_1(X4)
| v3_struct_0(X4)
| ~ v5_rlvect_1(sK11)
| ~ v5_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11) ),
inference(subsumption_resolution,[],[f401,f294]) ).
fof(f401,plain,
! [X4] :
( ~ v3_rlvect_1(sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| ~ v4_rlvect_1(X4)
| ~ l1_vectsp_2(X4,sK11)
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f400,f275]) ).
fof(f400,plain,
! [X4] :
( ~ v6_rlvect_1(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v4_rlvect_1(sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ v5_vectsp_2(X4,sK11)
| v3_struct_0(X4)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| ~ l1_vectsp_2(X4,sK11)
| ~ v3_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f399,f293]) ).
fof(f399,plain,
! [X4] :
( ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X4)
| v3_struct_0(X4)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ l1_vectsp_2(X4,sK11)
| ~ v4_group_1(sK11)
| ~ v4_rlvect_1(sK11)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| ~ v6_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| ~ v3_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f398,f291]) ).
fof(f398,plain,
! [X4] :
( ~ v8_vectsp_1(sK11)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| ~ v6_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| v3_struct_0(X4)
| ~ v3_rlvect_1(sK11)
| ~ v3_rlvect_1(X4)
| ~ v4_group_1(sK11)
| ~ l1_vectsp_2(X4,sK11)
| ~ v4_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f397,f296]) ).
fof(f397,plain,
! [X4] :
( ~ l3_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v3_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| ~ l1_vectsp_2(X4,sK11)
| ~ v3_rlvect_1(sK11)
| ~ v4_rlvect_1(sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ v5_vectsp_2(X4,sK11)
| ~ v4_group_1(sK11)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| v3_struct_0(X4) ),
inference(subsumption_resolution,[],[f396,f274]) ).
fof(f396,plain,
! [X4] :
( v3_struct_0(sK11)
| ~ v4_group_1(sK11)
| ~ v5_vectsp_2(X4,sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ l3_vectsp_1(sK11)
| ~ v4_rlvect_1(sK11)
| ~ l1_vectsp_2(X4,sK11)
| ~ v4_rlvect_1(X4)
| v3_struct_0(X4)
| ~ v8_vectsp_1(sK11)
| ~ v3_rlvect_1(sK11)
| ~ v3_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(sK11) ),
inference(subsumption_resolution,[],[f395,f276]) ).
fof(f395,plain,
! [X4] :
( ~ v6_vectsp_1(sK11)
| ~ v3_rlvect_1(X4)
| ~ l3_vectsp_1(sK11)
| ~ v4_group_1(sK11)
| ~ v4_rlvect_1(sK11)
| v3_struct_0(X4)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v5_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| ~ v3_rlvect_1(sK11)
| ~ v4_rlvect_1(X4)
| ~ l1_vectsp_2(X4,sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| v3_struct_0(sK11) ),
inference(subsumption_resolution,[],[f376,f272]) ).
fof(f376,plain,
! [X4] :
( ~ v6_rlvect_1(sK11)
| ~ v3_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(sK11)
| v3_struct_0(sK11)
| ~ v4_rlvect_1(sK11)
| ~ v3_rlvect_1(sK11)
| v3_struct_0(X4)
| ~ l3_vectsp_1(sK11)
| ~ v8_vectsp_1(sK11)
| ~ v6_rlvect_1(X4)
| ~ v5_vectsp_2(X4,sK11)
| m1_rmod_2(k2_rmod_2(sK11,X4),sK11,X4)
| ~ v4_rlvect_1(X4)
| ~ l1_vectsp_2(X4,sK11)
| ~ v4_group_1(sK11)
| ~ v6_vectsp_1(sK11) ),
inference(resolution,[],[f295,f361]) ).
fof(f361,plain,
! [X0,X1] :
( ~ v7_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v4_group_1(X0)
| m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
| ~ v5_rlvect_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| v3_struct_0(X1)
| ( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
& m1_rmod_2(k2_rmod_2(X0,X1),X0,X1) )
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X1,X0] :
( ~ v4_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ( v3_vectsp_2(k2_rmod_2(X1,X0),X1)
& m1_rmod_2(k2_rmod_2(X1,X0),X1,X0) )
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_2(X0,X1)
| ~ l3_vectsp_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X1) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( v3_vectsp_2(k2_rmod_2(X1,X0),X1)
& m1_rmod_2(k2_rmod_2(X1,X0),X1,X0) )
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X0,X1)
| ~ v4_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_rlvect_1(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( v5_rlvect_1(X1)
& l1_vectsp_2(X0,X1)
& v4_group_1(X1)
& l3_vectsp_1(X1)
& v5_vectsp_2(X0,X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X0)
& v7_vectsp_1(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X1)
& v8_vectsp_1(X1)
& v6_rlvect_1(X0) )
=> ( v3_vectsp_2(k2_rmod_2(X1,X0),X1)
& m1_rmod_2(k2_rmod_2(X1,X0),X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v7_vectsp_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v8_vectsp_1(X0)
& v5_rlvect_1(X1)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1) )
=> ( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
& m1_rmod_2(k2_rmod_2(X0,X1),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_rmod_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG219+1 : TPTP v8.1.0. Released v3.4.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 29 15:04:26 EDT 2022
% 0.23/0.37 % CPUTime :
% 0.23/0.53 % (695)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)
% 0.23/0.53 % (690)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)
% 0.23/0.53 % (688)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.23/0.54 % (701)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)
% 1.25/0.54 % (712)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)
% 1.25/0.54 % (697)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)
% 1.25/0.54 % (689)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)
% 1.25/0.55 % (714)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)
% 1.25/0.55 % (690)Instruction limit reached!
% 1.25/0.55 % (690)------------------------------
% 1.25/0.55 % (690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.55 % (690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.55 % (690)Termination reason: Unknown
% 1.25/0.55 % (690)Termination phase: Preprocessing 3
% 1.25/0.55
% 1.25/0.55 % (690)Memory used [KB]: 1535
% 1.25/0.55 % (690)Time elapsed: 0.004 s
% 1.25/0.55 % (690)Instructions burned: 4 (million)
% 1.25/0.55 % (690)------------------------------
% 1.25/0.55 % (690)------------------------------
% 1.25/0.55 % (703)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)
% 1.25/0.55 % (692)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)
% 1.25/0.55 % (702)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)
% 1.25/0.56 % (703)Instruction limit reached!
% 1.25/0.56 % (703)------------------------------
% 1.25/0.56 % (703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.56 % (700)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)
% 1.25/0.56 % (703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.56 % (703)Termination reason: Unknown
% 1.25/0.56 % (703)Termination phase: Preprocessing 3
% 1.25/0.56
% 1.25/0.56 % (703)Memory used [KB]: 1535
% 1.25/0.56 % (703)Time elapsed: 0.006 s
% 1.25/0.56 % (703)Instructions burned: 3 (million)
% 1.25/0.56 % (703)------------------------------
% 1.25/0.56 % (703)------------------------------
% 1.25/0.56 % (699)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)
% 1.25/0.56 % (718)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)
% 1.25/0.56 % (720)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)
% 1.48/0.56 % (715)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)
% 1.48/0.56 % (705)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)
% 1.48/0.56 % (701)Instruction limit reached!
% 1.48/0.56 % (701)------------------------------
% 1.48/0.56 % (701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56 % (701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56 % (701)Termination reason: Unknown
% 1.48/0.56 % (701)Termination phase: Saturation
% 1.48/0.56
% 1.48/0.56 % (701)Memory used [KB]: 1918
% 1.48/0.56 % (701)Time elapsed: 0.139 s
% 1.48/0.56 % (701)Instructions burned: 16 (million)
% 1.48/0.56 % (701)------------------------------
% 1.48/0.56 % (701)------------------------------
% 1.48/0.56 % (696)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)
% 1.48/0.56 % (717)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)
% 1.48/0.56 % (719)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)
% 1.48/0.56 % (708)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)
% 1.48/0.57 % (719)Instruction limit reached!
% 1.48/0.57 % (719)------------------------------
% 1.48/0.57 % (719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (719)Termination reason: Unknown
% 1.48/0.57 % (719)Termination phase: Saturation
% 1.48/0.57
% 1.48/0.57 % (719)Memory used [KB]: 1663
% 1.48/0.57 % (719)Time elapsed: 0.005 s
% 1.48/0.57 % (719)Instructions burned: 9 (million)
% 1.48/0.57 % (719)------------------------------
% 1.48/0.57 % (719)------------------------------
% 1.48/0.57 % (707)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)
% 1.48/0.57 % (710)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)
% 1.48/0.57 % (706)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.48/0.57 % (708)Refutation not found, incomplete strategy% (708)------------------------------
% 1.48/0.57 % (708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (708)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.57
% 1.48/0.57 % (708)Memory used [KB]: 6268
% 1.48/0.57 % (708)Time elapsed: 0.148 s
% 1.48/0.57 % (708)Instructions burned: 10 (million)
% 1.48/0.57 % (708)------------------------------
% 1.48/0.57 % (708)------------------------------
% 1.48/0.57 % (707)Instruction limit reached!
% 1.48/0.57 % (707)------------------------------
% 1.48/0.57 % (707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (707)Termination reason: Unknown
% 1.48/0.57 % (707)Termination phase: Property scanning
% 1.48/0.57
% 1.48/0.57 % (707)Memory used [KB]: 1535
% 1.48/0.57 % (707)Time elapsed: 0.004 s
% 1.48/0.57 % (707)Instructions burned: 3 (million)
% 1.48/0.57 % (707)------------------------------
% 1.48/0.57 % (707)------------------------------
% 1.48/0.57 % (694)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)
% 1.48/0.57 % (706)Instruction limit reached!
% 1.48/0.57 % (706)------------------------------
% 1.48/0.57 % (706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (706)Termination reason: Unknown
% 1.48/0.57 % (706)Termination phase: Preprocessing 3
% 1.48/0.57
% 1.48/0.57 % (706)Memory used [KB]: 1535
% 1.48/0.57 % (706)Time elapsed: 0.003 s
% 1.48/0.57 % (706)Instructions burned: 3 (million)
% 1.48/0.57 % (706)------------------------------
% 1.48/0.57 % (706)------------------------------
% 1.48/0.57 % (691)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)
% 1.48/0.57 % (698)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)
% 1.48/0.57 % (689)Refutation not found, incomplete strategy% (689)------------------------------
% 1.48/0.57 % (689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (689)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.57
% 1.48/0.57 % (689)Memory used [KB]: 6268
% 1.48/0.57 % (689)Time elapsed: 0.127 s
% 1.48/0.57 % (689)Instructions burned: 11 (million)
% 1.48/0.57 % (689)------------------------------
% 1.48/0.57 % (689)------------------------------
% 1.48/0.57 % (700)Instruction limit reached!
% 1.48/0.57 % (700)------------------------------
% 1.48/0.57 % (700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (700)Termination reason: Unknown
% 1.48/0.57 % (700)Termination phase: Saturation
% 1.48/0.57
% 1.48/0.57 % (700)Memory used [KB]: 6140
% 1.48/0.57 % (700)Time elapsed: 0.005 s
% 1.48/0.57 % (700)Instructions burned: 7 (million)
% 1.48/0.57 % (700)------------------------------
% 1.48/0.57 % (700)------------------------------
% 1.48/0.57 % (711)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)
% 1.48/0.57 % (692)Instruction limit reached!
% 1.48/0.57 % (692)------------------------------
% 1.48/0.57 % (692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (692)Termination reason: Unknown
% 1.48/0.57 % (692)Termination phase: Saturation
% 1.48/0.57
% 1.48/0.57 % (692)Memory used [KB]: 6268
% 1.48/0.57 % (692)Time elapsed: 0.131 s
% 1.48/0.57 % (692)Instructions burned: 14 (million)
% 1.48/0.57 % (692)------------------------------
% 1.48/0.57 % (692)------------------------------
% 1.48/0.58 % (704)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)
% 1.48/0.58 % (699)Instruction limit reached!
% 1.48/0.58 % (699)------------------------------
% 1.48/0.58 % (699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (699)Termination reason: Unknown
% 1.48/0.58 % (699)Termination phase: Saturation
% 1.48/0.58
% 1.48/0.58 % (699)Memory used [KB]: 6268
% 1.48/0.58 % (699)Time elapsed: 0.153 s
% 1.48/0.58 % (699)Instructions burned: 12 (million)
% 1.48/0.58 % (699)------------------------------
% 1.48/0.58 % (699)------------------------------
% 1.48/0.59 % (718)Instruction limit reached!
% 1.48/0.59 % (718)------------------------------
% 1.48/0.59 % (718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.59 % (718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.59 % (718)Termination reason: Unknown
% 1.48/0.59 % (718)Termination phase: Saturation
% 1.48/0.59
% 1.48/0.59 % (718)Memory used [KB]: 6524
% 1.48/0.59 % (718)Time elapsed: 0.170 s
% 1.48/0.59 % (718)Instructions burned: 26 (million)
% 1.48/0.59 % (718)------------------------------
% 1.48/0.59 % (718)------------------------------
% 1.48/0.59 % (720)Instruction limit reached!
% 1.48/0.59 % (720)------------------------------
% 1.48/0.59 % (720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.59 % (720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.59 % (720)Termination reason: Unknown
% 1.48/0.59 % (720)Termination phase: Saturation
% 1.48/0.59
% 1.48/0.59 % (720)Memory used [KB]: 6396
% 1.48/0.59 % (720)Time elapsed: 0.133 s
% 1.48/0.59 % (720)Instructions burned: 24 (million)
% 1.48/0.59 % (720)------------------------------
% 1.48/0.59 % (720)------------------------------
% 1.48/0.59 % (695)Instruction limit reached!
% 1.48/0.59 % (695)------------------------------
% 1.48/0.59 % (695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.59 % (695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.59 % (695)Termination reason: Unknown
% 1.48/0.59 % (695)Termination phase: Saturation
% 1.48/0.59
% 1.48/0.59 % (695)Memory used [KB]: 6268
% 1.48/0.59 % (695)Time elapsed: 0.146 s
% 1.48/0.59 % (695)Instructions burned: 39 (million)
% 1.48/0.59 % (695)------------------------------
% 1.48/0.59 % (695)------------------------------
% 1.48/0.59 % (713)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)
% 1.48/0.59 % (694)Instruction limit reached!
% 1.48/0.59 % (694)------------------------------
% 1.48/0.59 % (694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.59 % (694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.59 % (694)Termination reason: Unknown
% 1.48/0.59 % (694)Termination phase: Saturation
% 1.48/0.59
% 1.48/0.59 % (694)Memory used [KB]: 1791
% 1.48/0.59 % (694)Time elapsed: 0.120 s
% 1.48/0.59 % (694)Instructions burned: 16 (million)
% 1.48/0.59 % (694)------------------------------
% 1.48/0.59 % (694)------------------------------
% 1.48/0.60 % (704)Instruction limit reached!
% 1.48/0.60 % (704)------------------------------
% 1.48/0.60 % (704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.60 % (704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.60 % (704)Termination reason: Unknown
% 1.48/0.60 % (704)Termination phase: Saturation
% 1.48/0.60
% 1.48/0.60 % (704)Memory used [KB]: 6140
% 1.48/0.60 % (704)Time elapsed: 0.006 s
% 1.48/0.60 % (704)Instructions burned: 8 (million)
% 1.48/0.60 % (704)------------------------------
% 1.48/0.60 % (704)------------------------------
% 1.48/0.62 % (710)Instruction limit reached!
% 1.48/0.62 % (710)------------------------------
% 1.48/0.62 % (710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.62 % (710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.62 % (710)Termination reason: Unknown
% 1.48/0.62 % (710)Termination phase: Saturation
% 1.48/0.62
% 1.48/0.62 % (710)Memory used [KB]: 6524
% 1.48/0.62 % (710)Time elapsed: 0.191 s
% 1.48/0.62 % (710)Instructions burned: 31 (million)
% 1.48/0.62 % (710)------------------------------
% 1.48/0.62 % (710)------------------------------
% 1.48/0.63 % (698)Instruction limit reached!
% 1.48/0.63 % (698)------------------------------
% 1.48/0.63 % (698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63 % (698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63 % (698)Termination reason: Unknown
% 1.48/0.63 % (698)Termination phase: Saturation
% 1.48/0.63
% 1.48/0.63 % (698)Memory used [KB]: 6524
% 1.48/0.63 % (698)Time elapsed: 0.187 s
% 1.48/0.63 % (698)Instructions burned: 34 (million)
% 1.48/0.63 % (698)------------------------------
% 1.48/0.63 % (698)------------------------------
% 1.48/0.63 % (697)Instruction limit reached!
% 1.48/0.63 % (697)------------------------------
% 1.48/0.63 % (697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63 % (697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63 % (697)Termination reason: Unknown
% 1.48/0.63 % (697)Termination phase: Saturation
% 1.48/0.63
% 1.48/0.63 % (697)Memory used [KB]: 6780
% 1.48/0.63 % (697)Time elapsed: 0.178 s
% 1.48/0.63 % (697)Instructions burned: 50 (million)
% 1.48/0.63 % (697)------------------------------
% 1.48/0.63 % (697)------------------------------
% 1.48/0.63 % (714)Instruction limit reached!
% 1.48/0.63 % (714)------------------------------
% 1.48/0.63 % (714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63 % (714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63 % (714)Termination reason: Unknown
% 1.48/0.63 % (714)Termination phase: Saturation
% 1.48/0.63
% 1.48/0.63 % (714)Memory used [KB]: 6652
% 1.48/0.63 % (714)Time elapsed: 0.181 s
% 1.48/0.63 % (714)Instructions burned: 50 (million)
% 1.48/0.63 % (714)------------------------------
% 1.48/0.63 % (714)------------------------------
% 1.48/0.63 % (696)Instruction limit reached!
% 1.48/0.63 % (696)------------------------------
% 1.48/0.63 % (696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63 % (696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63 % (696)Termination reason: Unknown
% 1.48/0.63 % (696)Termination phase: Saturation
% 1.48/0.63
% 1.48/0.63 % (696)Memory used [KB]: 6652
% 1.48/0.63 % (696)Time elapsed: 0.206 s
% 1.48/0.63 % (696)Instructions burned: 39 (million)
% 1.48/0.63 % (696)------------------------------
% 1.48/0.63 % (696)------------------------------
% 1.98/0.64 % (705)Instruction limit reached!
% 1.98/0.64 % (705)------------------------------
% 1.98/0.64 % (705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (705)Termination reason: Unknown
% 1.98/0.64 % (705)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (705)Memory used [KB]: 6908
% 1.98/0.64 % (705)Time elapsed: 0.197 s
% 1.98/0.64 % (705)Instructions burned: 51 (million)
% 1.98/0.64 % (705)------------------------------
% 1.98/0.64 % (705)------------------------------
% 1.98/0.65 % (702)Instruction limit reached!
% 1.98/0.65 % (702)------------------------------
% 1.98/0.65 % (702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.65 % (702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.65 % (702)Termination reason: Unknown
% 1.98/0.65 % (702)Termination phase: Saturation
% 1.98/0.65
% 1.98/0.65 % (702)Memory used [KB]: 7291
% 1.98/0.65 % (702)Time elapsed: 0.184 s
% 1.98/0.65 % (702)Instructions burned: 52 (million)
% 1.98/0.65 % (702)------------------------------
% 1.98/0.65 % (702)------------------------------
% 1.98/0.66 % (691)Instruction limit reached!
% 1.98/0.66 % (691)------------------------------
% 1.98/0.66 % (691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.66 % (691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.66 % (691)Termination reason: Unknown
% 1.98/0.66 % (691)Termination phase: Saturation
% 1.98/0.66
% 1.98/0.66 % (691)Memory used [KB]: 6524
% 1.98/0.66 % (691)Time elapsed: 0.236 s
% 1.98/0.66 % (691)Instructions burned: 52 (million)
% 1.98/0.66 % (691)------------------------------
% 1.98/0.66 % (691)------------------------------
% 1.98/0.67 % (713)Instruction limit reached!
% 1.98/0.67 % (713)------------------------------
% 1.98/0.67 % (713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.67 % (713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.67 % (713)Termination reason: Unknown
% 1.98/0.67 % (713)Termination phase: Saturation
% 1.98/0.67
% 1.98/0.67 % (713)Memory used [KB]: 2302
% 1.98/0.67 % (713)Time elapsed: 0.240 s
% 1.98/0.67 % (713)Instructions burned: 45 (million)
% 1.98/0.67 % (713)------------------------------
% 1.98/0.67 % (713)------------------------------
% 2.08/0.67 % (712)Instruction limit reached!
% 2.08/0.67 % (712)------------------------------
% 2.08/0.67 % (712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.68 % (712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.68 % (712)Termination reason: Unknown
% 2.08/0.68 % (712)Termination phase: Saturation
% 2.08/0.68
% 2.08/0.68 % (712)Memory used [KB]: 7291
% 2.08/0.68 % (712)Time elapsed: 0.234 s
% 2.08/0.68 % (712)Instructions burned: 82 (million)
% 2.08/0.68 % (712)------------------------------
% 2.08/0.68 % (712)------------------------------
% 2.08/0.69 % (845)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.08/0.69 % (835)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)
% 2.08/0.69 % (850)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.08/0.70 % (848)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.08/0.70 % (841)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 (2998ds/7Mi)
% 2.08/0.71 % (859)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.08/0.71 % (853)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.08/0.71 % (852)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.08/0.71 % (856)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.08/0.71 % (835)Refutation not found, incomplete strategy% (835)------------------------------
% 2.08/0.71 % (835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.71 % (835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.71 % (835)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.71
% 2.08/0.71 % (835)Memory used [KB]: 6140
% 2.08/0.71 % (835)Time elapsed: 0.129 s
% 2.08/0.71 % (835)Instructions burned: 8 (million)
% 2.08/0.71 % (835)------------------------------
% 2.08/0.71 % (835)------------------------------
% 2.08/0.71 % (841)Instruction limit reached!
% 2.08/0.71 % (841)------------------------------
% 2.08/0.71 % (841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.71 % (841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.71 % (841)Termination reason: Unknown
% 2.08/0.71 % (841)Termination phase: Saturation
% 2.08/0.71
% 2.08/0.71 % (841)Memory used [KB]: 10618
% 2.08/0.71 % (841)Time elapsed: 0.122 s
% 2.08/0.71 % (841)Instructions burned: 7 (million)
% 2.08/0.71 % (841)------------------------------
% 2.08/0.71 % (841)------------------------------
% 2.08/0.71 % (855)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.08/0.72 % (717)First to succeed.
% 2.08/0.73 % (871)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)
% 2.08/0.73 % (715)Instruction limit reached!
% 2.08/0.73 % (715)------------------------------
% 2.08/0.73 % (715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.73 % (715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.73 % (715)Termination reason: Unknown
% 2.08/0.73 % (715)Termination phase: Saturation
% 2.08/0.73
% 2.08/0.73 % (715)Memory used [KB]: 7291
% 2.08/0.73 % (715)Time elapsed: 0.287 s
% 2.08/0.73 % (715)Instructions burned: 95 (million)
% 2.08/0.73 % (715)------------------------------
% 2.08/0.73 % (715)------------------------------
% 2.08/0.73 % (856)Refutation not found, incomplete strategy% (856)------------------------------
% 2.08/0.73 % (856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.73 % (856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.73 % (856)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.73
% 2.08/0.73 % (856)Memory used [KB]: 6268
% 2.08/0.73 % (856)Time elapsed: 0.133 s
% 2.08/0.73 % (856)Instructions burned: 9 (million)
% 2.08/0.73 % (856)------------------------------
% 2.08/0.73 % (856)------------------------------
% 2.26/0.73 % (866)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.26/0.74 % (711)Instruction limit reached!
% 2.26/0.74 % (711)------------------------------
% 2.26/0.74 % (711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.74 % (711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.74 % (711)Termination reason: Unknown
% 2.26/0.74 % (711)Termination phase: Saturation
% 2.26/0.74
% 2.26/0.74 % (711)Memory used [KB]: 7164
% 2.26/0.74 % (711)Time elapsed: 0.239 s
% 2.26/0.74 % (711)Instructions burned: 100 (million)
% 2.26/0.74 % (711)------------------------------
% 2.26/0.74 % (711)------------------------------
% 2.26/0.74 % (875)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)
% 2.26/0.74 % (717)Refutation found. Thanks to Tanya!
% 2.26/0.74 % SZS status Theorem for theBenchmark
% 2.26/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.74 % (717)------------------------------
% 2.26/0.74 % (717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.74 % (717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.74 % (717)Termination reason: Refutation
% 2.26/0.74
% 2.26/0.74 % (717)Memory used [KB]: 7291
% 2.26/0.74 % (717)Time elapsed: 0.296 s
% 2.26/0.74 % (717)Instructions burned: 88 (million)
% 2.26/0.74 % (717)------------------------------
% 2.26/0.74 % (717)------------------------------
% 2.26/0.74 % (682)Success in time 0.368 s
%------------------------------------------------------------------------------