TSTP Solution File: ALG214+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG214+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_sat --cores 0 -t %d %s
% Computer : n004.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 15:43:40 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 10
% Syntax : Number of formulae : 156 ( 28 unt; 0 def)
% Number of atoms : 1652 ( 68 equ)
% Maximal formula atoms : 44 ( 10 avg)
% Number of connectives : 2647 (1151 ~;1249 |; 216 &)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 3 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 189 ( 162 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f536,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f513,f535]) ).
fof(f535,plain,
~ spl31_1,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f533,f322]) ).
fof(f322,plain,
v4_group_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( v6_rlvect_1(sK17)
& v4_rlvect_1(sK17)
& v8_vectsp_1(sK17)
& l3_vectsp_1(sK17)
& v4_group_1(sK17)
& v5_rlvect_1(sK18)
& m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
& ~ v1_rmod_5(sK19,sK17,sK18)
& r1_tarski(sK19,sK20)
& v1_rmod_5(sK20,sK17,sK18)
& m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18)))
& v3_rlvect_1(sK18)
& ~ v3_struct_0(sK18)
& l1_vectsp_2(sK18,sK17)
& v4_rlvect_1(sK18)
& v5_vectsp_2(sK18,sK17)
& v6_rlvect_1(sK18)
& v5_rlvect_1(sK17)
& v7_vectsp_1(sK17)
& ~ v3_struct_0(sK17)
& v6_vectsp_1(sK17)
& v3_rlvect_1(sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20])],[f137,f220,f219,f218,f217]) ).
fof(f217,plain,
( ? [X0] :
( v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& v4_group_1(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X3] :
( ~ v1_rmod_5(X2,X0,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ) )
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
& v5_rlvect_1(X0)
& v7_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v3_rlvect_1(X0) )
=> ( v6_rlvect_1(sK17)
& v4_rlvect_1(sK17)
& v8_vectsp_1(sK17)
& l3_vectsp_1(sK17)
& v4_group_1(sK17)
& ? [X1] :
( v5_rlvect_1(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X3] :
( ~ v1_rmod_5(X2,sK17,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,sK17,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ) )
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,sK17)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,sK17)
& v6_rlvect_1(X1) )
& v5_rlvect_1(sK17)
& v7_vectsp_1(sK17)
& ~ v3_struct_0(sK17)
& v6_vectsp_1(sK17)
& v3_rlvect_1(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
( ? [X1] :
( v5_rlvect_1(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X3] :
( ~ v1_rmod_5(X2,sK17,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,sK17,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ) )
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,sK17)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,sK17)
& v6_rlvect_1(X1) )
=> ( v5_rlvect_1(sK18)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK18)))
& ? [X3] :
( ~ v1_rmod_5(X2,sK17,sK18)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,sK17,sK18)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK18))) ) )
& v3_rlvect_1(sK18)
& ~ v3_struct_0(sK18)
& l1_vectsp_2(sK18,sK17)
& v4_rlvect_1(sK18)
& v5_vectsp_2(sK18,sK17)
& v6_rlvect_1(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK18)))
& ? [X3] :
( ~ v1_rmod_5(X2,sK17,sK18)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,sK17,sK18)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK18))) ) )
=> ( m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
& ? [X3] :
( ~ v1_rmod_5(sK19,sK17,sK18)
& r1_tarski(sK19,X3)
& v1_rmod_5(X3,sK17,sK18)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK18))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ? [X3] :
( ~ v1_rmod_5(sK19,sK17,sK18)
& r1_tarski(sK19,X3)
& v1_rmod_5(X3,sK17,sK18)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK18))) )
=> ( ~ v1_rmod_5(sK19,sK17,sK18)
& r1_tarski(sK19,sK20)
& v1_rmod_5(sK20,sK17,sK18)
& m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18))) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
? [X0] :
( v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& v4_group_1(X0)
& ? [X1] :
( v5_rlvect_1(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ? [X3] :
( ~ v1_rmod_5(X2,X0,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ) )
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
& v5_rlvect_1(X0)
& v7_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& v3_rlvect_1(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_rmod_5(X2,X0,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1)
& 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)
& v5_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1) )
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0) )
=> ! [X1] :
( ( v5_vectsp_2(X1,X0)
& v5_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(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)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0) )
=> ! [X1] :
( ( v5_vectsp_2(X1,X0)
& v5_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v6_rlvect_1(X1)
& v4_rlvect_1(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)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_rmod_5) ).
fof(f533,plain,
( ~ v4_group_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f532,f326]) ).
fof(f326,plain,
v6_rlvect_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f532,plain,
( ~ v6_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f531,f308]) ).
fof(f308,plain,
v7_vectsp_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f531,plain,
( ~ v7_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f530,f325]) ).
fof(f325,plain,
v4_rlvect_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f530,plain,
( ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f529,f321]) ).
fof(f321,plain,
v5_rlvect_1(sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f529,plain,
( ~ v5_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f528,f310]) ).
fof(f310,plain,
v6_rlvect_1(sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f528,plain,
( ~ v6_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f527,f307]) ).
fof(f307,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f527,plain,
( v3_struct_0(sK17)
| ~ v4_group_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f526,f319]) ).
fof(f319,plain,
~ v1_rmod_5(sK19,sK17,sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f526,plain,
( v1_rmod_5(sK19,sK17,sK18)
| ~ v6_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f525,f315]) ).
fof(f315,plain,
v3_rlvect_1(sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f525,plain,
( ~ v3_rlvect_1(sK18)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| v3_struct_0(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f524,f309]) ).
fof(f309,plain,
v5_rlvect_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f524,plain,
( ~ v5_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v7_vectsp_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f523,f306]) ).
fof(f306,plain,
v6_vectsp_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f523,plain,
( ~ v6_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(sK17)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f522,f324]) ).
fof(f324,plain,
v8_vectsp_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f522,plain,
( ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v3_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f521,f320]) ).
fof(f320,plain,
m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18))),
inference(cnf_transformation,[],[f221]) ).
fof(f521,plain,
( ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| v3_struct_0(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v6_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f520,f314]) ).
fof(f314,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f520,plain,
( v3_struct_0(sK18)
| v3_struct_0(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v5_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f519,f311]) ).
fof(f311,plain,
v5_vectsp_2(sK18,sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f519,plain,
( ~ v5_vectsp_2(sK18,sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v4_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v3_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f518,f305]) ).
fof(f305,plain,
v3_rlvect_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f518,plain,
( ~ v3_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| v1_rmod_5(sK19,sK17,sK18)
| ~ v6_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v5_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| v3_struct_0(sK18)
| ~ v8_vectsp_1(sK17)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f517,f312]) ).
fof(f312,plain,
v4_rlvect_1(sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f517,plain,
( ~ v4_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v5_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v3_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v6_rlvect_1(sK18)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f516,f323]) ).
fof(f323,plain,
l3_vectsp_1(sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f516,plain,
( ~ l3_vectsp_1(sK17)
| v3_struct_0(sK18)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18)
| ~ v4_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v5_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v8_vectsp_1(sK17)
| v1_rmod_5(sK19,sK17,sK18)
| ~ spl31_1 ),
inference(subsumption_resolution,[],[f515,f313]) ).
fof(f313,plain,
l1_vectsp_2(sK18,sK17),
inference(cnf_transformation,[],[f221]) ).
fof(f515,plain,
( ~ l1_vectsp_2(sK18,sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v4_rlvect_1(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v8_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v4_group_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| v3_struct_0(sK18)
| ~ l3_vectsp_1(sK17)
| ~ spl31_1 ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f514,plain,
( ~ v4_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v3_rlvect_1(sK18)
| v1_rmod_5(sK19,sK17,sK18)
| ~ v6_rlvect_1(sK18)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK18)
| k1_xboole_0 != k1_xboole_0
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v8_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK17)
| ~ spl31_1 ),
inference(superposition,[],[f338,f473]) ).
fof(f473,plain,
( k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl31_1
<=> k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f338,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k2_rmod_4(X0,X1,sK21(X0,X1,X2))
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v1_rmod_5(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( v1_rmod_5(X2,X0,X1)
| ( k1_xboole_0 != k2_rmod_4(X0,X1,sK21(X0,X1,X2))
& m2_rmod_4(sK21(X0,X1,X2),X0,X1,X2)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK21(X0,X1,X2)) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4) )
| ~ v1_rmod_5(X2,X0,X1) ) ) )
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f226,f227]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ? [X3] :
( k2_rmod_4(X0,X1,X3) != k1_xboole_0
& m2_rmod_4(X3,X0,X1,X2)
& k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1) )
=> ( k1_xboole_0 != k2_rmod_4(X0,X1,sK21(X0,X1,X2))
& m2_rmod_4(sK21(X0,X1,X2),X0,X1,X2)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK21(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k2_rmod_4(X0,X1,X3) != k1_xboole_0
& m2_rmod_4(X3,X0,X1,X2)
& k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4) )
| ~ v1_rmod_5(X2,X0,X1) ) ) )
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k2_rmod_4(X0,X1,X3) != k1_xboole_0
& m2_rmod_4(X3,X0,X1,X2)
& k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1) ) )
& ( ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2)
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1) )
| ~ v1_rmod_5(X2,X0,X1) ) ) )
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2)
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1) ) ) )
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| ~ m2_rmod_4(X3,X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( v5_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v4_rlvect_1(X0)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0) )
=> ! [X1] :
( ( v5_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v5_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> ( k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1)
=> k2_rmod_4(X0,X1,X3) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(f513,plain,
~ spl31_2,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f511,f317]) ).
fof(f317,plain,
v1_rmod_5(sK20,sK17,sK18),
inference(cnf_transformation,[],[f221]) ).
fof(f511,plain,
( ~ v1_rmod_5(sK20,sK17,sK18)
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f508,f316]) ).
fof(f316,plain,
m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18))),
inference(cnf_transformation,[],[f221]) ).
fof(f508,plain,
( ~ m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v1_rmod_5(sK20,sK17,sK18)
| ~ spl31_2 ),
inference(resolution,[],[f476,f427]) ).
fof(f427,plain,
m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,sK20),
inference(subsumption_resolution,[],[f424,f316]) ).
fof(f424,plain,
( ~ m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18)))
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,sK20) ),
inference(resolution,[],[f423,f318]) ).
fof(f318,plain,
r1_tarski(sK19,sK20),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
! [X0] :
( ~ r1_tarski(sK19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f422,f325]) ).
fof(f422,plain,
! [X0] :
( m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v4_rlvect_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f421,f305]) ).
fof(f421,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v3_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ r1_tarski(sK19,X0)
| ~ v4_rlvect_1(sK17) ),
inference(subsumption_resolution,[],[f420,f326]) ).
fof(f420,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v4_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f419,f306]) ).
fof(f419,plain,
! [X0] :
( ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ r1_tarski(sK19,X0) ),
inference(subsumption_resolution,[],[f418,f313]) ).
fof(f418,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ r1_tarski(sK19,X0)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_vectsp_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f417,f308]) ).
fof(f417,plain,
! [X0] :
( ~ v7_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_vectsp_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v4_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f416,f310]) ).
fof(f416,plain,
! [X0] :
( ~ r1_tarski(sK19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f415,f311]) ).
fof(f415,plain,
! [X0] :
( ~ v5_vectsp_2(sK18,sK17)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ r1_tarski(sK19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f414,f324]) ).
fof(f414,plain,
! [X0] :
( ~ v8_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ r1_tarski(sK19,X0) ),
inference(subsumption_resolution,[],[f413,f323]) ).
fof(f413,plain,
! [X0] :
( ~ l3_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v6_vectsp_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v8_vectsp_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f412,f322]) ).
fof(f412,plain,
! [X0] :
( ~ r1_tarski(sK19,X0)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v4_group_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f411,f320]) ).
fof(f411,plain,
! [X0] :
( ~ r1_tarski(sK19,X0)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_vectsp_2(sK18,sK17)
| ~ v6_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_vectsp_2(sK18,sK17)
| ~ l3_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v8_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f410,f309]) ).
fof(f410,plain,
! [X0] :
( ~ v5_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v7_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v8_vectsp_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v3_rlvect_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f409,f307]) ).
fof(f409,plain,
! [X0] :
( v3_struct_0(sK17)
| ~ v6_vectsp_1(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v7_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v8_vectsp_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ r1_tarski(sK19,X0) ),
inference(subsumption_resolution,[],[f408,f314]) ).
fof(f408,plain,
! [X0] :
( v3_struct_0(sK18)
| ~ v6_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ r1_tarski(sK19,X0)
| ~ v6_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v7_vectsp_1(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v4_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v5_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ l3_vectsp_1(sK17)
| v3_struct_0(sK17) ),
inference(subsumption_resolution,[],[f407,f321]) ).
fof(f407,plain,
! [X0] :
( ~ v5_rlvect_1(sK18)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK17)
| v3_struct_0(sK18)
| ~ l3_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ r1_tarski(sK19,X0)
| ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v4_group_1(sK17)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ l1_vectsp_2(sK18,sK17) ),
inference(subsumption_resolution,[],[f406,f312]) ).
fof(f406,plain,
! [X0] :
( ~ v4_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_vectsp_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| v3_struct_0(sK18)
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ l3_vectsp_1(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v6_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK17) ),
inference(subsumption_resolution,[],[f405,f315]) ).
fof(f405,plain,
! [X0] :
( ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK17)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18)))
| m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v6_rlvect_1(sK18)
| ~ l3_vectsp_1(sK17)
| ~ r1_tarski(sK19,X0)
| ~ v3_rlvect_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v4_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v4_group_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v4_rlvect_1(sK18) ),
inference(resolution,[],[f404,f332]) ).
fof(f332,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_rmod_4(X4,X0,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| m2_rmod_4(X4,X0,X1,X3)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ r1_tarski(X2,X3)
| ~ v5_vectsp_2(X1,X0)
| v3_struct_0(X1)
| ~ v4_group_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v7_vectsp_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ! [X2] :
( ! [X3] :
( ! [X4] :
( m2_rmod_4(X4,X0,X1,X3)
| ~ m2_rmod_4(X4,X0,X1,X2)
| ~ 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))) )
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0) )
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_vectsp_1(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m2_rmod_4(X4,X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ 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_vectsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1) )
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( v4_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X0)
& v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v3_rlvect_1(X0) )
=> ! [X1] :
( ( v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(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)))
=> ! [X4] :
( m2_rmod_4(X4,X0,X1,X2)
=> ( r1_tarski(X2,X3)
=> m2_rmod_4(X4,X0,X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_rmod_4) ).
fof(f404,plain,
m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,sK19),
inference(subsumption_resolution,[],[f403,f320]) ).
fof(f403,plain,
( m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,sK19)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(resolution,[],[f395,f319]) ).
fof(f395,plain,
! [X0] :
( v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f394,f314]) ).
fof(f394,plain,
! [X0] :
( m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v3_struct_0(sK18)
| v1_rmod_5(X0,sK17,sK18) ),
inference(subsumption_resolution,[],[f393,f315]) ).
fof(f393,plain,
! [X0] :
( ~ v3_rlvect_1(sK18)
| v1_rmod_5(X0,sK17,sK18)
| v3_struct_0(sK18)
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f392,f310]) ).
fof(f392,plain,
! [X0] :
( ~ v6_rlvect_1(sK18)
| v1_rmod_5(X0,sK17,sK18)
| v3_struct_0(sK18)
| ~ v3_rlvect_1(sK18)
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f391,f321]) ).
fof(f391,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK18)
| v1_rmod_5(X0,sK17,sK18)
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ v3_rlvect_1(sK18)
| ~ v6_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f390,f311]) ).
fof(f390,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v1_rmod_5(X0,sK17,sK18)
| ~ v5_vectsp_2(sK18,sK17)
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK18)
| ~ v6_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f389,f312]) ).
fof(f389,plain,
! [X0] :
( ~ v4_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18)
| v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| m2_rmod_4(sK21(sK17,sK18,X0),sK17,sK18,X0)
| ~ v6_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| v3_struct_0(sK18) ),
inference(resolution,[],[f378,f313]) ).
fof(f378,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK17)
| ~ v6_rlvect_1(X1)
| v1_rmod_5(X0,sK17,X1)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v3_rlvect_1(X1) ),
inference(subsumption_resolution,[],[f377,f308]) ).
fof(f377,plain,
! [X0,X1] :
( ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v7_vectsp_1(sK17)
| ~ v5_vectsp_2(X1,sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| v3_struct_0(X1)
| v1_rmod_5(X0,sK17,X1)
| ~ l1_vectsp_2(X1,sK17)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_rlvect_1(X1) ),
inference(subsumption_resolution,[],[f376,f325]) ).
fof(f376,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v5_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(sK17)
| v1_rmod_5(X0,sK17,X1)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(X1) ),
inference(subsumption_resolution,[],[f375,f309]) ).
fof(f375,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v5_rlvect_1(sK17)
| ~ l1_vectsp_2(X1,sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v4_rlvect_1(sK17)
| ~ v5_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(X1)
| ~ v7_vectsp_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v1_rmod_5(X0,sK17,X1)
| ~ v5_rlvect_1(X1) ),
inference(subsumption_resolution,[],[f374,f326]) ).
fof(f374,plain,
! [X0,X1] :
( v1_rmod_5(X0,sK17,X1)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| v3_struct_0(X1)
| ~ v6_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ l1_vectsp_2(X1,sK17) ),
inference(subsumption_resolution,[],[f373,f306]) ).
fof(f373,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,sK17)
| v3_struct_0(X1)
| ~ v5_rlvect_1(sK17)
| ~ v5_rlvect_1(X1)
| ~ v7_vectsp_1(sK17)
| v1_rmod_5(X0,sK17,X1)
| ~ v6_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v5_vectsp_2(X1,sK17) ),
inference(subsumption_resolution,[],[f372,f307]) ).
fof(f372,plain,
! [X0,X1] :
( ~ v4_rlvect_1(X1)
| v3_struct_0(sK17)
| ~ v6_rlvect_1(sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ l1_vectsp_2(X1,sK17)
| ~ v6_vectsp_1(sK17)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK17)
| v3_struct_0(X1)
| ~ v5_rlvect_1(sK17)
| v1_rmod_5(X0,sK17,X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(subsumption_resolution,[],[f371,f322]) ).
fof(f371,plain,
! [X0,X1] :
( ~ v3_rlvect_1(X1)
| ~ v4_group_1(sK17)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(sK17)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(sK17)
| ~ v5_rlvect_1(X1)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| v1_rmod_5(X0,sK17,X1)
| ~ v4_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_vectsp_1(sK17)
| ~ l1_vectsp_2(X1,sK17)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ v5_vectsp_2(X1,sK17)
| v3_struct_0(X1) ),
inference(subsumption_resolution,[],[f370,f323]) ).
fof(f370,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X1)
| ~ l3_vectsp_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_rlvect_1(sK17)
| ~ v5_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(X1)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| v3_struct_0(sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ l1_vectsp_2(X1,sK17)
| v3_struct_0(X1)
| v1_rmod_5(X0,sK17,X1)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v7_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f369,f305]) ).
fof(f369,plain,
! [X0,X1] :
( ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,sK17)
| ~ v4_rlvect_1(sK17)
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(sK17)
| ~ v5_vectsp_2(X1,sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(sK17)
| m2_rmod_4(sK21(sK17,X1,X0),sK17,X1,X0)
| ~ v4_group_1(sK17)
| ~ v5_rlvect_1(sK17)
| v1_rmod_5(X0,sK17,X1) ),
inference(resolution,[],[f337,f324]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| m2_rmod_4(sK21(X0,X1,X2),X0,X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_group_1(X0)
| v1_rmod_5(X2,X0,X1)
| ~ v5_rlvect_1(X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f476,plain,
( ! [X0] :
( ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v1_rmod_5(X0,sK17,sK18) )
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl31_2
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v1_rmod_5(X0,sK17,sK18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f477,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f469,f475,f471]) ).
fof(f469,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f468,f324]) ).
fof(f468,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v8_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v1_rmod_5(X0,sK17,sK18) ),
inference(subsumption_resolution,[],[f467,f308]) ).
fof(f467,plain,
! [X0] :
( ~ v7_vectsp_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v8_vectsp_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19)) ),
inference(subsumption_resolution,[],[f466,f315]) ).
fof(f466,plain,
! [X0] :
( ~ v3_rlvect_1(sK18)
| ~ v8_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f465,f312]) ).
fof(f465,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v4_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v8_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f464,f306]) ).
fof(f464,plain,
! [X0] :
( ~ v6_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v4_rlvect_1(sK18)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f463,f307]) ).
fof(f463,plain,
! [X0] :
( v3_struct_0(sK17)
| ~ v4_rlvect_1(sK18)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v3_rlvect_1(sK18)
| ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v7_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f462,f321]) ).
fof(f462,plain,
! [X0] :
( ~ v5_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v3_rlvect_1(sK18)
| ~ v4_rlvect_1(sK18)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v8_vectsp_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v6_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0) ),
inference(subsumption_resolution,[],[f461,f314]) ).
fof(f461,plain,
! [X0] :
( ~ v1_rmod_5(X0,sK17,sK18)
| v3_struct_0(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v8_vectsp_1(sK17)
| ~ v4_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v7_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f460,f326]) ).
fof(f460,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(sK18)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v8_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v4_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f459,f309]) ).
fof(f459,plain,
! [X0] :
( ~ v1_rmod_5(X0,sK17,sK18)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK18)
| ~ v8_vectsp_1(sK17)
| ~ v7_vectsp_1(sK17)
| v3_struct_0(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| v3_struct_0(sK18)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f458,f305]) ).
fof(f458,plain,
! [X0] :
( ~ v3_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v4_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| v3_struct_0(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v5_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v7_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f457,f322]) ).
fof(f457,plain,
! [X0] :
( ~ v4_group_1(sK17)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v3_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| v3_struct_0(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v4_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f456,f325]) ).
fof(f456,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v4_rlvect_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v6_rlvect_1(sK17)
| ~ v4_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| v3_struct_0(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK18)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v6_vectsp_1(sK17) ),
inference(subsumption_resolution,[],[f455,f323]) ).
fof(f455,plain,
! [X0] :
( ~ v1_rmod_5(X0,sK17,sK18)
| ~ l3_vectsp_1(sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v6_rlvect_1(sK17)
| v3_struct_0(sK17)
| v3_struct_0(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK18)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v3_rlvect_1(sK17)
| ~ v4_group_1(sK17)
| ~ v4_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v8_vectsp_1(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f454,f311]) ).
fof(f454,plain,
! [X0] :
( ~ v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_vectsp_2(sK18,sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v6_vectsp_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v4_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| v3_struct_0(sK17)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v8_vectsp_1(sK17)
| v3_struct_0(sK18)
| ~ v4_rlvect_1(sK17) ),
inference(subsumption_resolution,[],[f453,f313]) ).
fof(f453,plain,
! [X0] :
( ~ v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_vectsp_2(sK18,sK17)
| ~ v4_rlvect_1(sK18)
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v8_vectsp_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK17)
| ~ v5_vectsp_2(sK18,sK17)
| ~ l3_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ v7_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19)) ),
inference(subsumption_resolution,[],[f452,f310]) ).
fof(f452,plain,
! [X0] :
( ~ v6_rlvect_1(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v5_rlvect_1(sK17)
| v3_struct_0(sK18)
| ~ v8_vectsp_1(sK17)
| ~ v4_group_1(sK17)
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v7_vectsp_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| v3_struct_0(sK17)
| ~ v4_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ v3_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l3_vectsp_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(sK17) ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
! [X0] :
( ~ v4_group_1(sK17)
| ~ v4_rlvect_1(sK18)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ m2_rmod_4(sK21(sK17,sK18,sK19),sK17,sK18,X0)
| ~ v8_vectsp_1(sK17)
| ~ v5_rlvect_1(sK18)
| ~ v4_rlvect_1(sK17)
| k1_xboole_0 = k2_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19))
| ~ v1_rmod_5(X0,sK17,sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ v7_vectsp_1(sK17)
| ~ v3_rlvect_1(sK18)
| v3_struct_0(sK17)
| k1_rlvect_1(sK18) != k1_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l3_vectsp_1(sK17)
| ~ l1_vectsp_2(sK18,sK17)
| ~ v5_rlvect_1(sK17)
| ~ v6_rlvect_1(sK18)
| v3_struct_0(sK18) ),
inference(superposition,[],[f335,f450]) ).
fof(f450,plain,
k5_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19)) = k1_rlvect_1(sK18),
inference(subsumption_resolution,[],[f449,f320]) ).
fof(f449,plain,
( k5_rmod_4(sK17,sK18,sK21(sK17,sK18,sK19)) = k1_rlvect_1(sK18)
| ~ m1_subset_1(sK19,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(resolution,[],[f402,f319]) ).
fof(f402,plain,
! [X0] :
( v1_rmod_5(X0,sK17,sK18)
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(subsumption_resolution,[],[f401,f315]) ).
fof(f401,plain,
! [X0] :
( v1_rmod_5(X0,sK17,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0))
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f400,f310]) ).
fof(f400,plain,
! [X0] :
( v1_rmod_5(X0,sK17,sK18)
| ~ v6_rlvect_1(sK18)
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f399,f321]) ).
fof(f399,plain,
! [X0] :
( k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0))
| ~ v5_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v1_rmod_5(X0,sK17,sK18)
| ~ v6_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f398,f311]) ).
fof(f398,plain,
! [X0] :
( ~ v5_vectsp_2(sK18,sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v1_rmod_5(X0,sK17,sK18)
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0))
| ~ v5_rlvect_1(sK18)
| ~ v6_rlvect_1(sK18)
| ~ v3_rlvect_1(sK18) ),
inference(subsumption_resolution,[],[f397,f314]) ).
fof(f397,plain,
! [X0] :
( v3_struct_0(sK18)
| ~ v5_vectsp_2(sK18,sK17)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| v1_rmod_5(X0,sK17,sK18)
| ~ v3_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ v6_rlvect_1(sK18)
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0)) ),
inference(subsumption_resolution,[],[f396,f312]) ).
fof(f396,plain,
! [X0] :
( ~ v4_rlvect_1(sK18)
| ~ v5_rlvect_1(sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ v5_vectsp_2(sK18,sK17)
| v1_rmod_5(X0,sK17,sK18)
| ~ v6_rlvect_1(sK18)
| v3_struct_0(sK18)
| ~ v3_rlvect_1(sK18)
| k1_rlvect_1(sK18) = k5_rmod_4(sK17,sK18,sK21(sK17,sK18,X0)) ),
inference(resolution,[],[f388,f313]) ).
fof(f388,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK17)
| ~ v5_vectsp_2(X0,sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| v1_rmod_5(X1,sK17,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f387,f306]) ).
fof(f387,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_rmod_5(X1,sK17,X0)
| ~ v5_vectsp_2(X0,sK17)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v6_vectsp_1(sK17)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f386,f326]) ).
fof(f386,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v4_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK17)
| ~ v6_rlvect_1(sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK17)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(sK17)
| ~ v6_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f385,f305]) ).
fof(f385,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK17)
| v3_struct_0(X0)
| ~ v3_rlvect_1(sK17)
| ~ v5_vectsp_2(X0,sK17)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v6_rlvect_1(sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v6_vectsp_1(sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f384,f323]) ).
fof(f384,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v5_vectsp_2(X0,sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ l3_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(sK17)
| ~ v6_rlvect_1(sK17)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v6_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK17) ),
inference(subsumption_resolution,[],[f383,f308]) ).
fof(f383,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK17)
| ~ v4_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK17)
| ~ v7_vectsp_1(sK17)
| ~ l3_vectsp_1(sK17)
| v3_struct_0(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(sK17)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v6_vectsp_1(sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(sK17) ),
inference(subsumption_resolution,[],[f382,f325]) ).
fof(f382,plain,
! [X0,X1] :
( k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| v3_struct_0(X0)
| ~ v4_rlvect_1(sK17)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK17)
| ~ v6_rlvect_1(X0)
| ~ v6_vectsp_1(sK17)
| ~ l1_vectsp_2(X0,sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v7_vectsp_1(sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ v3_rlvect_1(sK17)
| ~ v5_vectsp_2(X0,sK17)
| ~ v6_rlvect_1(sK17) ),
inference(subsumption_resolution,[],[f381,f322]) ).
fof(f381,plain,
! [X0,X1] :
( ~ v5_rlvect_1(X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v4_group_1(sK17)
| ~ v3_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ v4_rlvect_1(X0)
| v1_rmod_5(X1,sK17,X0)
| ~ l1_vectsp_2(X0,sK17)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v5_vectsp_2(X0,sK17)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(sK17) ),
inference(subsumption_resolution,[],[f380,f309]) ).
fof(f380,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK17)
| ~ l1_vectsp_2(X0,sK17)
| ~ v3_rlvect_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ l3_vectsp_1(sK17)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(sK17)
| v1_rmod_5(X1,sK17,X0)
| ~ v4_rlvect_1(X0)
| ~ v7_vectsp_1(sK17)
| ~ v5_vectsp_2(X0,sK17)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(sK17)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(subsumption_resolution,[],[f379,f307]) ).
fof(f379,plain,
! [X0,X1] :
( ~ v5_rlvect_1(X0)
| v3_struct_0(sK17)
| ~ v5_rlvect_1(sK17)
| ~ v7_vectsp_1(sK17)
| ~ l3_vectsp_1(sK17)
| ~ v6_vectsp_1(sK17)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_rlvect_1(sK17)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(sK17)
| ~ v6_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK17)
| v1_rmod_5(X1,sK17,X0)
| k1_rlvect_1(X0) = k5_rmod_4(sK17,X0,sK21(sK17,X0,X1))
| ~ v6_rlvect_1(sK17)
| v3_struct_0(X0)
| ~ v5_vectsp_2(X0,sK17)
| ~ v4_rlvect_1(sK17) ),
inference(resolution,[],[f336,f324]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK21(X0,X1,X2))
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v4_rlvect_1(X1)
| v1_rmod_5(X2,X0,X1)
| ~ v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f335,plain,
! [X2,X0,X1,X4] :
( k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| ~ v4_group_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ m2_rmod_4(X4,X0,X1,X2)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v8_vectsp_1(X0)
| k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| ~ v1_rmod_5(X2,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:55:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.49 % (24229)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (24230)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (24239)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (24255)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (24238)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (24238)Instruction limit reached!
% 0.19/0.50 % (24238)------------------------------
% 0.19/0.50 % (24238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24238)Termination reason: Unknown
% 0.19/0.50 % (24238)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (24238)Memory used [KB]: 1023
% 0.19/0.50 % (24238)Time elapsed: 0.004 s
% 0.19/0.50 % (24238)Instructions burned: 3 (million)
% 0.19/0.50 % (24238)------------------------------
% 0.19/0.50 % (24238)------------------------------
% 0.19/0.51 % (24248)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (24240)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (24234)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (24232)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (24245)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (24230)Refutation not found, incomplete strategy% (24230)------------------------------
% 0.19/0.52 % (24230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24243)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (24230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24230)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (24230)Memory used [KB]: 5756
% 0.19/0.53 % (24230)Time elapsed: 0.114 s
% 0.19/0.53 % (24254)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (24230)Instructions burned: 10 (million)
% 0.19/0.53 % (24230)------------------------------
% 0.19/0.53 % (24230)------------------------------
% 0.19/0.53 % (24258)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (24260)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (24233)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (24259)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (24235)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24231)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (24236)Instruction limit reached!
% 0.19/0.53 % (24236)------------------------------
% 0.19/0.53 % (24236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24236)Termination reason: Unknown
% 0.19/0.53 % (24236)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24236)Memory used [KB]: 5628
% 0.19/0.53 % (24236)Time elapsed: 0.095 s
% 0.19/0.53 % (24236)Instructions burned: 8 (million)
% 0.19/0.53 % (24236)------------------------------
% 0.19/0.53 % (24236)------------------------------
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (24247)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (24250)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (24244)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (24252)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (24256)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (24242)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (24253)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (24241)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (24246)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (24251)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (24257)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56 % (24254)First to succeed.
% 0.19/0.56 % (24254)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (24254)------------------------------
% 0.19/0.56 % (24254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24254)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (24254)Memory used [KB]: 5884
% 0.19/0.56 % (24254)Time elapsed: 0.107 s
% 0.19/0.56 % (24254)Instructions burned: 16 (million)
% 0.19/0.56 % (24254)------------------------------
% 0.19/0.56 % (24254)------------------------------
% 0.19/0.56 % (24225)Success in time 0.204 s
%------------------------------------------------------------------------------