%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:19 AM UTC 2026
% Result : Theorem 4.94s 1.70s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of formulae : 138 ( 29 unt; 2 def)
% Number of atoms : 1500 ( 64 equ)
% Maximal formula atoms : 40 ( 10 avg)
% Number of connectives : 2521 (1159 ~;1202 |; 134 &)
% ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 12 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 : 131 ( 0 sgn 121 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( 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(f68,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [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(f83,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))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f84,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))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f83]) ).
fof(f86,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_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f87,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_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f86]) ).
fof(f88,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))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f89,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))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f88]) ).
fof(f130,plain,
( ~ v1_rmod_5(sK2,sK0,sK1)
& r1_tarski(sK2,sK3)
& v1_rmod_5(sK3,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v3_struct_0(sK1)
& v3_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v6_rlvect_1(sK1)
& v5_vectsp_2(sK1,sK0)
& l1_vectsp_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v6_rlvect_1(sK0)
& v4_group_1(sK0)
& v6_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& l3_vectsp_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f84]) ).
fof(f136,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) ) )
& ( ! [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) )
| ~ v1_rmod_5(X2,X0,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f137,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) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ v1_rmod_5(X2,X0,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(rectify,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ( k1_xboole_0 != k2_rmod_4(X0,X1,sK8(X0,X1,X2))
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK8(X0,X1,X2))
& m2_rmod_4(sK8(X0,X1,X2),X0,X1,X2) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ v1_rmod_5(X2,X0,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f137]) ).
fof(f152,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f153,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f154,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f155,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f156,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f157,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f158,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f159,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f160,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f161,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f162,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f163,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f164,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f165,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f166,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f167,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f168,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f169,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f130]) ).
fof(f170,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f130]) ).
fof(f171,plain,
v1_rmod_5(sK3,sK0,sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f172,plain,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f130]) ).
fof(f173,plain,
~ v1_rmod_5(sK2,sK0,sK1),
inference(cnf_transformation,[],[f130]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_rmod_4(X4,X0,X1,X2)
| ~ r1_tarski(X2,X3)
| m2_rmod_4(X4,X0,X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f185,plain,
! [X2,X0,X1,X4] :
( k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2)
| ~ v1_rmod_5(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f186,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK8(X0,X1,X2),X0,X1,X2)
| v1_rmod_5(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK8(X0,X1,X2))
| v1_rmod_5(X2,X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f188,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k2_rmod_4(X0,X1,sK8(X0,X1,X2))
| v1_rmod_5(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f392,plain,
! [X0] :
( k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| v1_rmod_5(sK2,X0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f187,f169]) ).
fof(f406,plain,
! [X0] :
( k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| v1_rmod_5(sK2,X0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f392,f168]) ).
fof(f409,plain,
! [X0] :
( k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| v1_rmod_5(sK2,X0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f406,f167]) ).
fof(f411,plain,
! [X0] :
( k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| v1_rmod_5(sK2,X0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f409,f166]) ).
fof(f413,plain,
! [X0] :
( k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| v1_rmod_5(sK2,X0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f411,f165]) ).
fof(f415,plain,
! [X0] :
( v1_rmod_5(sK2,X0,sK1)
| k1_rlvect_1(sK1) = k5_rmod_4(X0,sK1,sK8(X0,sK1,sK2))
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f413,f164]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| m2_rmod_4(sK8(X2,X3,X0),X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| v1_rmod_5(X0,X2,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ),
inference(resolution,[],[f183,f186]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( m2_rmod_4(sK8(X2,X3,X0),X2,X3,X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| v1_rmod_5(X0,X2,X3) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f420,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(resolution,[],[f415,f173]) ).
fof(f421,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f420,f163]) ).
fof(f422,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f421,f162]) ).
fof(f423,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f422,f161]) ).
fof(f424,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f423,f160]) ).
fof(f425,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f424,f159]) ).
fof(f426,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f425,f158]) ).
fof(f427,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f426,f157]) ).
fof(f428,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f427,f156]) ).
fof(f429,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f428,f155]) ).
fof(f430,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f429,f154]) ).
fof(f431,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f430,f153]) ).
fof(f432,plain,
k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f431,f152]) ).
fof(f468,plain,
! [X0] :
( k1_rlvect_1(sK1) != k1_rlvect_1(sK1)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(superposition,[],[f185,f432]) ).
fof(f469,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f470,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f469,f168]) ).
fof(f471,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f470,f167]) ).
fof(f472,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f471,f166]) ).
fof(f473,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f472,f165]) ).
fof(f474,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f473,f164]) ).
fof(f475,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f474,f163]) ).
fof(f476,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f475,f162]) ).
fof(f477,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f476,f161]) ).
fof(f478,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f477,f160]) ).
fof(f479,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f478,f159]) ).
fof(f480,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f479,f158]) ).
fof(f481,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f480,f157]) ).
fof(f482,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f481,f156]) ).
fof(f483,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f482,f155]) ).
fof(f484,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f483,f154]) ).
fof(f485,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f484,f153]) ).
fof(f486,plain,
! [X0] :
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ v1_rmod_5(X0,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f485,f152]) ).
fof(f488,definition,
( spl19_8
<=> ! [X0] :
( ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_rmod_5(X0,sK0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl19_8])],[avatar_definition]) ).
fof(f489,plain,
( ! [X0] :
( ~ m2_rmod_4(sK8(sK0,sK1,sK2),sK0,sK1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,definition,
( spl19_9
<=> k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl19_9])],[avatar_definition]) ).
fof(f493,plain,
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK8(sK0,sK1,sK2))
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( spl19_8
| spl19_9 ),
inference(avatar_split_clause,[],[f486,f491,f488]) ).
fof(f1435,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(resolution,[],[f418,f489]) ).
fof(f1440,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(duplicate_literal_removal,[],[f1435]) ).
fof(f1441,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1440,f169]) ).
fof(f1442,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1441,f168]) ).
fof(f1443,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1442,f167]) ).
fof(f1444,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1443,f166]) ).
fof(f1445,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1444,f165]) ).
fof(f1446,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1445,f164]) ).
fof(f1447,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1446,f163]) ).
fof(f1448,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1447,f162]) ).
fof(f1449,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1448,f161]) ).
fof(f1450,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1449,f160]) ).
fof(f1451,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1450,f159]) ).
fof(f1452,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1451,f158]) ).
fof(f1453,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1452,f157]) ).
fof(f1454,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1453,f156]) ).
fof(f1455,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1454,f155]) ).
fof(f1456,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1455,f154]) ).
fof(f1457,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1456,f153]) ).
fof(f1458,plain,
( ! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_rmod_5(sK2,sK0,sK1)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1457,f152]) ).
fof(f1459,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0)
| ~ v1_rmod_5(X0,sK0,sK1) )
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1458,f173]) ).
fof(f2002,plain,
( k1_xboole_0 != k1_xboole_0
| v1_rmod_5(sK2,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(superposition,[],[f188,f493]) ).
fof(f2009,plain,
( v1_rmod_5(sK2,sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(trivial_inequality_removal,[],[f2002]) ).
fof(f2010,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2009,f173]) ).
fof(f2011,plain,
( v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2010,f169]) ).
fof(f2012,plain,
( ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2011,f168]) ).
fof(f2013,plain,
( ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2012,f167]) ).
fof(f2014,plain,
( ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2013,f166]) ).
fof(f2015,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2014,f165]) ).
fof(f2016,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2015,f164]) ).
fof(f2017,plain,
( ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2016,f163]) ).
fof(f2018,plain,
( v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2017,f162]) ).
fof(f2019,plain,
( ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2018,f161]) ).
fof(f2020,plain,
( ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2019,f160]) ).
fof(f2021,plain,
( ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2020,f159]) ).
fof(f2022,plain,
( ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2021,f158]) ).
fof(f2023,plain,
( ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2022,f157]) ).
fof(f2024,plain,
( ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2023,f156]) ).
fof(f2025,plain,
( ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2024,f155]) ).
fof(f2026,plain,
( ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2025,f154]) ).
fof(f2027,plain,
( ~ l3_vectsp_1(sK0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2026,f153]) ).
fof(f2028,plain,
( $false
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f2027,f152]) ).
fof(f2029,plain,
~ spl19_9,
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2040,plain,
( ~ r1_tarski(sK2,sK3)
| ~ v1_rmod_5(sK3,sK0,sK1)
| ~ spl19_8 ),
inference(resolution,[],[f1459,f170]) ).
fof(f2076,plain,
( ~ v1_rmod_5(sK3,sK0,sK1)
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f2040,f172]) ).
fof(f2102,plain,
( $false
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f2076,f171]) ).
fof(f2103,plain,
~ spl19_8,
inference(avatar_contradiction_clause,[],[f2102]) ).
cnf(s6,plain,
( spl19_8
| spl19_9 ),
inference(sat_conversion,[],[f494]) ).
cnf(s35,plain,
~ spl19_9,
inference(sat_conversion,[],[f2029]) ).
cnf(s41,plain,
~ spl19_8,
inference(sat_conversion,[],[f2103]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s6,s35,s41]) ).
fof(f2108,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.31 % Computer : n009.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8046.5625MB
% 0.12/0.31 % OS : Linux 6.8.0-71-generic
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.31/0.31 % DateTime : Mon Sep 28 19:43:41 UTC 2026
% 0.31/0.31 % CPUTime :
% 0.31/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.31/0.37 Running first-order theorem proving
% 0.31/0.37 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.94/1.70 % (3377164)Detected formulas, will run a generic FOF schedule.
% 4.94/1.70 % (3377175)dis-21_1_sil=8000:lcm=predicate:random_seed=234801496:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.94/1.70 % (3377172)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4158707427:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.94/1.70 % (3377171)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=568870876:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.94/1.70 % (3377169)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3025513130:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.94/1.70 % (3377170)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=780308341:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.94/1.70 % (3377172)Refutation not found, incomplete strategy
% 4.94/1.70 % (3377172)------------------------------
% 4.94/1.70 % (3377172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.70 % (3377172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.70 % (3377172)CaDiCaL version: 2.1.3
% 4.94/1.70 % (3377172)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.70 % (3377172)Time elapsed: 0.006 s
% 4.94/1.70 % (3377172)Peak memory usage: 88 MB
% 4.94/1.70 % (3377172)Instructions burned: 4 (million)
% 4.94/1.70 % (3377175)Instruction limit reached!
% 4.94/1.70 % (3377175)------------------------------
% 4.94/1.70 % (3377175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.70 % (3377175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.70 % (3377175)CaDiCaL version: 2.1.3
% 4.94/1.70 % (3377175)Termination reason: Instruction limit
% 4.94/1.70 % (3377175)Termination phase: Saturation
% 4.94/1.70 % (3377175)Time elapsed: 0.067 s
% 4.94/1.70 % (3377175)Peak memory usage: 91 MB
% 4.94/1.70 % (3377175)Instructions burned: 129 (million)
% 4.94/1.70 % (3377173)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1370191701:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.94/1.70 % (3377174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3596282269:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.94/1.70 % (3377173)Instruction limit reached!
% 4.94/1.70 % (3377173)------------------------------
% 4.94/1.70 % (3377173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.70 % (3377173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.70 % (3377173)CaDiCaL version: 2.1.3
% 4.94/1.70 % (3377173)Termination reason: Instruction limit
% 4.94/1.70 % (3377173)Termination phase: Saturation
% 4.94/1.70 % (3377173)Time elapsed: 0.120 s
% 4.94/1.70 % (3377173)Peak memory usage: 88 MB
% 4.94/1.70 % (3377173)Instructions burned: 120 (million)
% 4.94/1.70 % (3377174)Instruction limit reached!
% 4.94/1.70 % (3377174)------------------------------
% 4.94/1.70 % (3377174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.70 % (3377174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.70 % (3377174)CaDiCaL version: 2.1.3
% 4.94/1.70 % (3377174)Termination reason: Instruction limit
% 4.94/1.70 % (3377174)Termination phase: Saturation
% 4.94/1.70 % (3377174)Time elapsed: 0.151 s
% 4.94/1.70 % (3377174)Peak memory usage: 90 MB
% 4.94/1.70 % (3377174)Instructions burned: 140 (million)
% 4.94/1.70 % (3377181)lrs+10_1_sil=8000:sp=occurrence:random_seed=2011885108:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.94/1.70 % (3377181)First to succeed.
% 4.94/1.70 % (3377181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3377164"
% 4.94/1.70 % (3377172)------------------------------
% 4.94/1.70 % (3377172)------------------------------
% 4.94/1.70 % (3377184)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2631223053:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.94/1.70 % (3377184)Also succeeded, but the first one will report.
% 4.94/1.70 % (3377185)lrs+1011_1_sil=32000:sp=occurrence:random_seed=533432022:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.94/1.70 % (3377185)Also succeeded, but the first one will report.
% 4.94/1.70 % (3377181)Refutation found. Thanks to Tanya!
% 4.94/1.70 % SZS status Theorem for theBenchmark
% 4.94/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 7.05/2.05 % (3377181)------------------------------
% 7.05/2.05 % (3377181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/2.05 % (3377181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/2.05 % (3377181)CaDiCaL version: 2.1.3
% 7.05/2.05 % (3377181)Termination reason: Refutation
% 7.05/2.05 % (3377181)Time elapsed: 0.062 s
% 7.05/2.05 % (3377181)Peak memory usage: 91 MB
% 7.05/2.05 % (3377181)Instructions burned: 120 (million)
% 7.05/2.05 % (3377181)------------------------------
% 7.05/2.05 % (3377181)------------------------------
% 7.05/2.05 % (3377164)Success in time 0.889 s
% 7.05/2.05 % Vampire exiting
%------------------------------------------------------------------------------