%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG215+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:29:48 AM UTC 2026
% Result : Theorem 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 7
% Syntax : Number of formulae : 106 ( 38 unt; 0 def)
% Number of atoms : 905 ( 26 equ)
% Maximal formula atoms : 22 ( 8 avg)
% Number of connectives : 1225 ( 426 ~; 664 |; 112 &)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 130 ( 126 !; 4 ?)
% 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) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_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) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),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(f7,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_rmod_4(X3,X0,X1)
=> ( m2_rmod_4(X3,X0,X1,X2)
<=> r1_tarski(k2_rmod_4(X0,X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_rmod_4) ).
fof(f12,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( ~ 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)
& ~ 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)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> m1_rmod_4(X3,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f73,axiom,
! [X0] :
( r1_tarski(X0,k1_xboole_0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f76,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f84,plain,
? [X0] :
( ? [X1] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),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(ennf_transformation,[],[f2]) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),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(flattening,[],[f84]) ).
fof(f87,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(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(flattening,[],[f87]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( m2_rmod_4(X3,X0,X1,X2)
<=> r1_tarski(k2_rmod_4(X0,X1,X3),X2) )
| ~ m1_rmod_4(X3,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(ennf_transformation,[],[f7]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( m2_rmod_4(X3,X0,X1,X2)
<=> r1_tarski(k2_rmod_4(X0,X1,X3),X2) )
| ~ m1_rmod_4(X3,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(flattening,[],[f91]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| 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)
| 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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| 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)
| 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)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f114]) ).
fof(f144,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f148,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f151,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f152,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f153,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f154,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f155,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f156,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f157,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f158,plain,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK1)),sK0,sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f159,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f160,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f161,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f162,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f163,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f164,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f165,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f166,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f167,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f168,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m2_rmod_4(sK2(X0,X1,X2),X0,X1,X2)
| v1_rmod_5(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k1_xboole_0 != k2_rmod_4(X0,X1,sK2(X0,X1,X2))
| v1_rmod_5(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_rmod_4(X3,X0,X1)
| r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| ~ m2_rmod_4(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f179,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f180,plain,
! [X0] : v1_xboole_0(k1_subset_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_rmod_4(X3,X0,X1,X2)
| m1_rmod_4(X3,X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f252,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f255,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f259,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f260,plain,
~ v4_rlvect_1(sK0),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f261,plain,
~ v5_rlvect_1(sK0),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f262,plain,
~ v6_rlvect_1(sK0),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f263,plain,
~ l3_vectsp_1(sK0),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f264,plain,
v1_rmod_5(k1_subset_1(u1_struct_0(sK1)),sK0,sK1),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f265,plain,
v3_struct_0(sK1),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f266,plain,
~ v4_rlvect_1(sK1),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f267,plain,
~ v5_rlvect_1(sK1),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f268,plain,
~ v6_rlvect_1(sK1),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f269,plain,
~ v5_vectsp_2(sK1,sK0),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f270,plain,
~ l1_vectsp_2(sK1,sK0),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f272,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k2_rmod_4(X0,X1,sK2(X0,X1,X2))
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| l1_vectsp_2(X1,X0)
| v5_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| l3_vectsp_1(X0)
| ~ v1_rmod_5(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(sK2(X0,X1,X2),X0,X1,X2)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| l1_vectsp_2(X1,X0)
| v5_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| l3_vectsp_1(X0)
| ~ v1_rmod_5(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| l1_vectsp_2(X1,X0)
| v5_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m1_rmod_4(X3,X0,X1)
| r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| m2_rmod_4(X3,X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f281,plain,
! [X0] : ~ v1_xboole_0(k1_subset_1(X0)),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_4(X3,X0,X1)
| l1_vectsp_2(X1,X0)
| v5_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| m2_rmod_4(X3,X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f342,plain,
! [X0] :
( v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(consistent_polarity_flipping,[],[f255]) ).
fof(f349,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(resolution,[],[f342,f281]) ).
fof(f354,plain,
v1_rmod_5(k1_xboole_0,sK0,sK1),
inference(superposition,[],[f264,f349]) ).
fof(f355,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(superposition,[],[f179,f349]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( ~ v8_vectsp_1(X0)
| l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| l1_vectsp_2(X1,X0)
| v5_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| m2_rmod_4(X3,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f277,f299]) ).
fof(f615,plain,
! [X2,X0,X1] :
( l3_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(resolution,[],[f614,f160]) ).
fof(f616,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f615,f263]) ).
fof(f617,plain,
! [X2,X0,X1] :
( ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f616,f161]) ).
fof(f618,plain,
! [X2,X0,X1] :
( ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f617,f162]) ).
fof(f619,plain,
! [X2,X0,X1] :
( v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f618,f163]) ).
fof(f620,plain,
! [X2,X0,X1] :
( v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f619,f262]) ).
fof(f621,plain,
! [X2,X0,X1] :
( v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f620,f261]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f621,f260]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(sK0)
| l1_vectsp_2(X0,sK0)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f622,f167]) ).
fof(f624,plain,
! [X2,X0,X1] :
( r1_tarski(k2_rmod_4(sK0,X0,X2),X1)
| v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(X0,sK0)
| m2_rmod_4(X2,sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f623,f259]) ).
fof(f663,plain,
! [X0,X1] :
( v5_vectsp_2(X0,sK0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v3_struct_0(X0)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(X0,sK0)
| m2_rmod_4(X1,sK0,X0,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,X0,X1) ),
inference(resolution,[],[f624,f252]) ).
fof(f664,plain,
! [X0,X1] :
( ~ v3_rlvect_1(X0)
| v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| v4_rlvect_1(X0)
| v5_vectsp_2(X0,sK0)
| ~ v3_struct_0(X0)
| l1_vectsp_2(X0,sK0)
| m2_rmod_4(X1,sK0,X0,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f663,f355]) ).
fof(f1235,plain,
! [X0] :
( v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| v5_vectsp_2(sK1,sK0)
| ~ v3_struct_0(sK1)
| l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(resolution,[],[f664,f156]) ).
fof(f1237,plain,
! [X0] :
( v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| v5_vectsp_2(sK1,sK0)
| ~ v3_struct_0(sK1)
| l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1235,f268]) ).
fof(f1238,plain,
! [X0] :
( v4_rlvect_1(sK1)
| v5_vectsp_2(sK1,sK0)
| ~ v3_struct_0(sK1)
| l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1237,f267]) ).
fof(f1239,plain,
! [X0] :
( v5_vectsp_2(sK1,sK0)
| ~ v3_struct_0(sK1)
| l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1238,f266]) ).
fof(f1240,plain,
! [X0] :
( ~ v3_struct_0(sK1)
| l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1239,f269]) ).
fof(f1241,plain,
! [X0] :
( l1_vectsp_2(sK1,sK0)
| m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1240,f265]) ).
fof(f1242,plain,
! [X0] :
( m2_rmod_4(X0,sK0,sK1,k1_xboole_0)
| k1_xboole_0 = k2_rmod_4(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1241,f270]) ).
fof(f1472,plain,
( k1_xboole_0 = k2_rmod_4(sK0,sK1,sK2(sK0,sK1,k1_xboole_0))
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(resolution,[],[f1242,f274]) ).
fof(f1474,plain,
( ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1472,f272]) ).
fof(f1476,plain,
( ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1474,f160]) ).
fof(f1478,plain,
( ~ v6_vectsp_1(sK0)
| ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1476,f161]) ).
fof(f1480,plain,
( ~ v4_group_1(sK0)
| v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1478,f162]) ).
fof(f1482,plain,
( v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1480,f163]) ).
fof(f1484,plain,
( v5_rlvect_1(sK0)
| v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1482,f262]) ).
fof(f1486,plain,
( v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1484,f261]) ).
fof(f1488,plain,
( ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1486,f260]) ).
fof(f1490,plain,
( ~ v3_struct_0(sK0)
| l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1488,f167]) ).
fof(f1492,plain,
( l1_vectsp_2(sK1,sK0)
| v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1490,f259]) ).
fof(f1494,plain,
( v5_vectsp_2(sK1,sK0)
| v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1492,f270]) ).
fof(f1496,plain,
( v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1494,f269]) ).
fof(f1498,plain,
( v5_rlvect_1(sK1)
| v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1496,f268]) ).
fof(f1500,plain,
( v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1498,f267]) ).
fof(f1502,plain,
( ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1500,f266]) ).
fof(f1504,plain,
( ~ v3_struct_0(sK1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1502,f156]) ).
fof(f1506,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK1)))
| l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1504,f265]) ).
fof(f1508,plain,
( l3_vectsp_1(sK0)
| ~ v1_rmod_5(k1_xboole_0,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1506,f355]) ).
fof(f1510,plain,
~ v1_rmod_5(k1_xboole_0,sK0,sK1),
inference(forward_subsumption_resolution,[],[f1508,f263]) ).
fof(f1511,plain,
$false,
inference(forward_subsumption_resolution,[],[f1510,f354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG215+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n020.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 19:45:35 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34 % (461634)Will run a generic schedule for satisfiability detection.
% 0.19/0.34 % (461641)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2546350072:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34 % (461640)% WARNING: option uhcvi not known.
% 0.19/0.34 % (461639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1759918997_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34 % (461644)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4168217817:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (461640)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1590962039:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34 % (461642)dis+10_1_sil=32000:sp=arity:random_seed=871341451:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34 % (461643)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1081460082:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34 % (461645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1073484849:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34 % TRYING [1]
% 0.19/0.34 % TRYING [2]
% 0.19/0.34 % TRYING [3]
% 0.19/0.34 % TRYING [4]
% 0.19/0.34 % (461640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-461634-461640"...
% 0.19/0.34 % (461640)...printing done.
% 0.19/0.34 % (461640)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (461640)------------------------------
% 0.19/0.34 % (461640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (461640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (461640)CaDiCaL version: 2.1.3
% 0.19/0.34 % (461640)Termination reason: Refutation
% 0.19/0.34 % (461640)Time elapsed: 0.046 s
% 0.19/0.34 % (461640)Peak memory usage: 13 MB
% 0.19/0.34 % (461640)Instructions burned: 67 (million)
% 0.19/0.34 % (461634)Success in time 0.083 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------