%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG215+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:19:21 AM UTC 2026
% Result : Theorem 19.80s 4.75s
% Output : Refutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 29
% Syntax : Number of formulae : 224 ( 68 unt; 21 def)
% Number of atoms : 2023 ( 51 equ)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 3229 (1430 ~;1618 |; 138 &)
% ( 27 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 22 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,axiom,
! [X0] :
( r1_tarski(X0,k1_xboole_0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f486,axiom,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f24413,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/sandbox2/benchmark/theBenchmark.p',d7_rmod_4) ).
fof(f24481,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/sandbox2/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f24499,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/sandbox2/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(f24503,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/sandbox2/benchmark/theBenchmark.p',t4_rmod_5) ).
fof(f24504,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)],[f24503]) ).
fof(f24518,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ 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,[],[f24499]) ).
fof(f24519,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ 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,[],[f24518]) ).
fof(f24524,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,[],[f24504]) ).
fof(f24525,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,[],[f24524]) ).
fof(f24615,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f24619,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,[],[f24481]) ).
fof(f24620,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,[],[f24619]) ).
fof(f24625,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,[],[f24413]) ).
fof(f24626,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,[],[f24625]) ).
fof(f24698,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k1_xboole_0 != k2_rmod_4(X0,X1,X3)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X3)
& m2_rmod_4(X3,X0,X1,X2) ) )
& ( ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ 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,[],[f24519]) ).
fof(f24699,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k1_xboole_0 != k2_rmod_4(X0,X1,X3)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X3)
& 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,[],[f24698]) ).
fof(f24700,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ( k1_xboole_0 != k2_rmod_4(X0,X1,sK1(X0,X1,X2))
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK1(X0,X1,X2))
& m2_rmod_4(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f24699]) ).
fof(f24701,plain,
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK2,sK3)
& ~ v3_struct_0(sK3)
& v3_rlvect_1(sK3)
& v4_rlvect_1(sK3)
& v5_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& v5_vectsp_2(sK3,sK2)
& l1_vectsp_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v3_rlvect_1(sK2)
& v4_rlvect_1(sK2)
& v5_rlvect_1(sK2)
& v6_rlvect_1(sK2)
& v4_group_1(sK2)
& v6_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& l3_vectsp_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f24525]) ).
fof(f24736,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( m2_rmod_4(X3,X0,X1,X2)
| ~ r1_tarski(k2_rmod_4(X0,X1,X3),X2) )
& ( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| ~ m2_rmod_4(X3,X0,X1,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(nnf_transformation,[],[f24626]) ).
fof(f24763,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| m2_rmod_4(sK1(X0,X1,X2),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(cnf_transformation,[],[f24700]) ).
fof(f24765,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| k1_xboole_0 != k2_rmod_4(X0,X1,sK1(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(cnf_transformation,[],[f24700]) ).
fof(f24768,plain,
l3_vectsp_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24769,plain,
v8_vectsp_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24770,plain,
v7_vectsp_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24771,plain,
v6_vectsp_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24772,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24773,plain,
v6_rlvect_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24774,plain,
v5_rlvect_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24775,plain,
v4_rlvect_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24776,plain,
v3_rlvect_1(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24777,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24778,plain,
l1_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24779,plain,
v5_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f24701]) ).
fof(f24780,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24781,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24782,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24783,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24784,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24785,plain,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK2,sK3),
inference(cnf_transformation,[],[f24701]) ).
fof(f24892,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f24912,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f24913,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f24615]) ).
fof(f24922,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f24620]) ).
fof(f24925,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| ~ m2_rmod_4(X3,X0,X1,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(cnf_transformation,[],[f24736]) ).
fof(f25017,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f25018,plain,
! [X0] : k1_subset_1(X0) = np__0,
inference(definition_unfolding,[],[f25017,f24892]) ).
fof(f25019,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| np__0 != k2_rmod_4(X0,X1,sK1(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(definition_unfolding,[],[f24765,f24892]) ).
fof(f25021,plain,
~ v1_rmod_5(np__0,sK2,sK3),
inference(definition_unfolding,[],[f24785,f25018]) ).
fof(f25041,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f24912,f24892]) ).
fof(f25042,plain,
! [X0] :
( np__0 = X0
| ~ r1_tarski(X0,np__0) ),
inference(definition_unfolding,[],[f24913,f24892,f24892]) ).
fof(f25137,definition,
( spl62_1
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl62_1])],[avatar_definition]) ).
fof(f25139,plain,
( ~ v3_struct_0(sK3)
| spl62_1 ),
inference(avatar_component_clause,[],[f25137]) ).
fof(f25140,plain,
~ spl62_1,
inference(avatar_split_clause,[],[f24784,f25137]) ).
fof(f25142,definition,
( spl62_2
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_2])],[avatar_definition]) ).
fof(f25144,plain,
( ~ v3_struct_0(sK2)
| spl62_2 ),
inference(avatar_component_clause,[],[f25142]) ).
fof(f25145,plain,
~ spl62_2,
inference(avatar_split_clause,[],[f24777,f25142]) ).
fof(f27456,definition,
( spl62_3
<=> l1_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl62_3])],[avatar_definition]) ).
fof(f27458,plain,
( l1_vectsp_2(sK3,sK2)
| ~ spl62_3 ),
inference(avatar_component_clause,[],[f27456]) ).
fof(f27459,plain,
spl62_3,
inference(avatar_split_clause,[],[f24778,f27456]) ).
fof(f28723,definition,
( spl62_4
<=> v5_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl62_4])],[avatar_definition]) ).
fof(f28725,plain,
( v5_vectsp_2(sK3,sK2)
| ~ spl62_4 ),
inference(avatar_component_clause,[],[f28723]) ).
fof(f28726,plain,
spl62_4,
inference(avatar_split_clause,[],[f24779,f28723]) ).
fof(f28824,definition,
( spl62_5
<=> v4_group_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_5])],[avatar_definition]) ).
fof(f28826,plain,
( v4_group_1(sK2)
| ~ spl62_5 ),
inference(avatar_component_clause,[],[f28824]) ).
fof(f28827,plain,
spl62_5,
inference(avatar_split_clause,[],[f24772,f28824]) ).
fof(f28829,definition,
( spl62_6
<=> v1_rmod_5(np__0,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl62_6])],[avatar_definition]) ).
fof(f28831,plain,
( ~ v1_rmod_5(np__0,sK2,sK3)
| spl62_6 ),
inference(avatar_component_clause,[],[f28829]) ).
fof(f28832,plain,
~ spl62_6,
inference(avatar_split_clause,[],[f25021,f28829]) ).
fof(f28834,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_6 ),
inference(resolution,[],[f28831,f24763]) ).
fof(f28836,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_6 ),
inference(resolution,[],[f28831,f25019]) ).
fof(f28850,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28836,f25041]) ).
fof(f28852,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28834,f25041]) ).
fof(f28854,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28850,f25139]) ).
fof(f28856,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28852,f25139]) ).
fof(f28858,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28854,f24783]) ).
fof(f28860,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28856,f24783]) ).
fof(f28862,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28858,f24782]) ).
fof(f28864,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28860,f24782]) ).
fof(f28866,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28862,f24781]) ).
fof(f28868,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28864,f24781]) ).
fof(f28870,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28866,f24780]) ).
fof(f28872,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28868,f24780]) ).
fof(f28874,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28870,f28725]) ).
fof(f28876,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28872,f28725]) ).
fof(f28878,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28874,f27458]) ).
fof(f28880,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28876,f27458]) ).
fof(f28882,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28878,f25144]) ).
fof(f28884,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28880,f25144]) ).
fof(f28886,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28882,f24776]) ).
fof(f28888,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28884,f24776]) ).
fof(f28890,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28886,f24775]) ).
fof(f28892,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28888,f24775]) ).
fof(f28894,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28890,f24774]) ).
fof(f28896,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28892,f24774]) ).
fof(f28898,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28894,f24773]) ).
fof(f28900,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28896,f24773]) ).
fof(f28902,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28898,f28826]) ).
fof(f28904,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28900,f28826]) ).
fof(f28906,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28902,f24771]) ).
fof(f28908,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28904,f24771]) ).
fof(f28910,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28906,f24770]) ).
fof(f28912,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28908,f24770]) ).
fof(f28914,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28910,f24769]) ).
fof(f28916,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28912,f24769]) ).
fof(f28918,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28914,f24768]) ).
fof(f28920,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(forward_subsumption_resolution,[],[f28916,f24768]) ).
fof(f28924,definition,
( spl62_7
<=> l3_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_7])],[avatar_definition]) ).
fof(f28926,plain,
( l3_vectsp_1(sK2)
| ~ spl62_7 ),
inference(avatar_component_clause,[],[f28924]) ).
fof(f28927,plain,
spl62_7,
inference(avatar_split_clause,[],[f24768,f28924]) ).
fof(f29026,definition,
( spl62_8
<=> v8_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_8])],[avatar_definition]) ).
fof(f29028,plain,
( v8_vectsp_1(sK2)
| ~ spl62_8 ),
inference(avatar_component_clause,[],[f29026]) ).
fof(f29029,plain,
spl62_8,
inference(avatar_split_clause,[],[f24769,f29026]) ).
fof(f29031,definition,
( spl62_9
<=> v5_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl62_9])],[avatar_definition]) ).
fof(f29033,plain,
( v5_rlvect_1(sK3)
| ~ spl62_9 ),
inference(avatar_component_clause,[],[f29031]) ).
fof(f29034,plain,
spl62_9,
inference(avatar_split_clause,[],[f24781,f29031]) ).
fof(f29232,definition,
( spl62_10
<=> v6_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_10])],[avatar_definition]) ).
fof(f29234,plain,
( v6_vectsp_1(sK2)
| ~ spl62_10 ),
inference(avatar_component_clause,[],[f29232]) ).
fof(f29235,plain,
spl62_10,
inference(avatar_split_clause,[],[f24771,f29232]) ).
fof(f29237,definition,
( spl62_11
<=> v7_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_11])],[avatar_definition]) ).
fof(f29239,plain,
( v7_vectsp_1(sK2)
| ~ spl62_11 ),
inference(avatar_component_clause,[],[f29237]) ).
fof(f29240,plain,
spl62_11,
inference(avatar_split_clause,[],[f24770,f29237]) ).
fof(f29242,definition,
( spl62_12
<=> v6_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl62_12])],[avatar_definition]) ).
fof(f29244,plain,
( v6_rlvect_1(sK3)
| ~ spl62_12 ),
inference(avatar_component_clause,[],[f29242]) ).
fof(f29245,plain,
spl62_12,
inference(avatar_split_clause,[],[f24780,f29242]) ).
fof(f29623,definition,
( spl62_13
<=> v5_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_13])],[avatar_definition]) ).
fof(f29625,plain,
( v5_rlvect_1(sK2)
| ~ spl62_13 ),
inference(avatar_component_clause,[],[f29623]) ).
fof(f29626,plain,
spl62_13,
inference(avatar_split_clause,[],[f24774,f29623]) ).
fof(f29628,definition,
( spl62_14
<=> v4_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl62_14])],[avatar_definition]) ).
fof(f29630,plain,
( v4_rlvect_1(sK3)
| ~ spl62_14 ),
inference(avatar_component_clause,[],[f29628]) ).
fof(f29631,plain,
spl62_14,
inference(avatar_split_clause,[],[f24782,f29628]) ).
fof(f29633,definition,
( spl62_15
<=> v3_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl62_15])],[avatar_definition]) ).
fof(f29635,plain,
( v3_rlvect_1(sK3)
| ~ spl62_15 ),
inference(avatar_component_clause,[],[f29633]) ).
fof(f29636,plain,
spl62_15,
inference(avatar_split_clause,[],[f24783,f29633]) ).
fof(f30184,definition,
( spl62_16
<=> v6_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_16])],[avatar_definition]) ).
fof(f30186,plain,
( v6_rlvect_1(sK2)
| ~ spl62_16 ),
inference(avatar_component_clause,[],[f30184]) ).
fof(f30187,plain,
spl62_16,
inference(avatar_split_clause,[],[f24773,f30184]) ).
fof(f30551,definition,
( spl62_17
<=> v4_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_17])],[avatar_definition]) ).
fof(f30553,plain,
( v4_rlvect_1(sK2)
| ~ spl62_17 ),
inference(avatar_component_clause,[],[f30551]) ).
fof(f30554,plain,
spl62_17,
inference(avatar_split_clause,[],[f24775,f30551]) ).
fof(f30738,definition,
( spl62_18
<=> v3_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl62_18])],[avatar_definition]) ).
fof(f30740,plain,
( v3_rlvect_1(sK2)
| ~ spl62_18 ),
inference(avatar_component_clause,[],[f30738]) ).
fof(f30741,plain,
spl62_18,
inference(avatar_split_clause,[],[f24776,f30738]) ).
fof(f30952,definition,
( spl62_20
<=> np__0 = k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)) ),
introduced(definition,[new_symbols(definition,[spl62_20])],[avatar_definition]) ).
fof(f30954,plain,
( np__0 != k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| spl62_20 ),
inference(avatar_component_clause,[],[f30952]) ).
fof(f30955,plain,
( ~ spl62_20
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(avatar_split_clause,[],[f28918,f28829,f28824,f28723,f27456,f25142,f25137,f30952]) ).
fof(f30980,definition,
( spl62_23
<=> m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0) ),
introduced(definition,[new_symbols(definition,[spl62_23])],[avatar_definition]) ).
fof(f30982,plain,
( m2_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3,np__0)
| ~ spl62_23 ),
inference(avatar_component_clause,[],[f30980]) ).
fof(f30983,plain,
( spl62_23
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6 ),
inference(avatar_split_clause,[],[f28920,f28829,f28824,f28723,f27456,f25142,f25137,f30980]) ).
fof(f30985,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| ~ spl62_23 ),
inference(resolution,[],[f30982,f24925]) ).
fof(f30987,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl62_23 ),
inference(resolution,[],[f30982,f24922]) ).
fof(f31002,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f30987,f25144]) ).
fof(f31004,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f30985,f25041]) ).
fof(f31005,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31002,f30740]) ).
fof(f31007,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31004,f25139]) ).
fof(f31008,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31005,f30553]) ).
fof(f31010,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31007,f29635]) ).
fof(f31011,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_13
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31008,f29625]) ).
fof(f31013,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31010,f29630]) ).
fof(f31014,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31011,f30186]) ).
fof(f31016,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_9
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31013,f29033]) ).
fof(f31017,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_5
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31014,f28826]) ).
fof(f31019,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31016,f29244]) ).
fof(f31020,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_5
| ~ spl62_10
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31017,f29234]) ).
fof(f31022,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31019,f28725]) ).
fof(f31023,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_5
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31020,f29239]) ).
fof(f31025,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31022,f27458]) ).
fof(f31026,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_5
| ~ spl62_8
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31023,f29028]) ).
fof(f31028,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31025,f25144]) ).
fof(f31029,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31026,f28926]) ).
fof(f31031,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31028,f30740]) ).
fof(f31032,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31029,f25139]) ).
fof(f31034,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_14
| ~ spl62_15
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31031,f30553]) ).
fof(f31035,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31032,f29635]) ).
fof(f31037,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31034,f29625]) ).
fof(f31038,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31035,f29630]) ).
fof(f31040,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_9
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31037,f30186]) ).
fof(f31041,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31038,f29033]) ).
fof(f31043,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_9
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31040,f28826]) ).
fof(f31044,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31041,f29244]) ).
fof(f31046,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_9
| ~ spl62_10
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31043,f29234]) ).
fof(f31047,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31044,f28725]) ).
fof(f31049,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31046,f29239]) ).
fof(f31050,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31047,f27458]) ).
fof(f31052,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| ~ l3_vectsp_1(sK2)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31049,f29028]) ).
fof(f31053,plain,
( m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31050,f25041]) ).
fof(f31055,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ m1_rmod_4(sK1(sK2,sK3,np__0),sK2,sK3)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31052,f28926]) ).
fof(f31057,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(forward_subsumption_resolution,[],[f31055,f31053]) ).
fof(f32661,definition,
( spl62_57
<=> r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0) ),
introduced(definition,[new_symbols(definition,[spl62_57])],[avatar_definition]) ).
fof(f32663,plain,
( r1_tarski(k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0)),np__0)
| ~ spl62_57 ),
inference(avatar_component_clause,[],[f32661]) ).
fof(f32664,plain,
( spl62_57
| spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23 ),
inference(avatar_split_clause,[],[f31057,f30980,f30738,f30551,f30184,f29633,f29628,f29623,f29242,f29237,f29232,f29031,f29026,f28924,f28824,f28723,f27456,f25142,f25137,f32661]) ).
fof(f37614,plain,
( np__0 = k2_rmod_4(sK2,sK3,sK1(sK2,sK3,np__0))
| ~ spl62_57 ),
inference(resolution,[],[f32663,f25042]) ).
fof(f37676,plain,
( $false
| spl62_20
| ~ spl62_57 ),
inference(forward_subsumption_resolution,[],[f37614,f30954]) ).
fof(f37677,plain,
( spl62_20
| ~ spl62_57 ),
inference(avatar_contradiction_clause,[],[f37676]) ).
cnf(s1,plain,
~ spl62_1,
inference(sat_conversion,[],[f25140]) ).
cnf(s2,plain,
~ spl62_2,
inference(sat_conversion,[],[f25145]) ).
cnf(s3,plain,
spl62_3,
inference(sat_conversion,[],[f27459]) ).
cnf(s4,plain,
spl62_4,
inference(sat_conversion,[],[f28726]) ).
cnf(s5,plain,
spl62_5,
inference(sat_conversion,[],[f28827]) ).
cnf(s6,plain,
~ spl62_6,
inference(sat_conversion,[],[f28832]) ).
cnf(s7,plain,
spl62_7,
inference(sat_conversion,[],[f28927]) ).
cnf(s8,plain,
spl62_8,
inference(sat_conversion,[],[f29029]) ).
cnf(s9,plain,
spl62_9,
inference(sat_conversion,[],[f29034]) ).
cnf(s10,plain,
spl62_10,
inference(sat_conversion,[],[f29235]) ).
cnf(s11,plain,
spl62_11,
inference(sat_conversion,[],[f29240]) ).
cnf(s12,plain,
spl62_12,
inference(sat_conversion,[],[f29245]) ).
cnf(s13,plain,
spl62_13,
inference(sat_conversion,[],[f29626]) ).
cnf(s14,plain,
spl62_14,
inference(sat_conversion,[],[f29631]) ).
cnf(s15,plain,
spl62_15,
inference(sat_conversion,[],[f29636]) ).
cnf(s16,plain,
spl62_16,
inference(sat_conversion,[],[f30187]) ).
cnf(s17,plain,
spl62_17,
inference(sat_conversion,[],[f30554]) ).
cnf(s18,plain,
spl62_18,
inference(sat_conversion,[],[f30741]) ).
cnf(s20,plain,
( spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6
| ~ spl62_20 ),
inference(sat_conversion,[],[f30955]) ).
cnf(s23,plain,
( spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| spl62_6
| spl62_23 ),
inference(sat_conversion,[],[f30983]) ).
cnf(s52,plain,
( spl62_1
| spl62_2
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_7
| ~ spl62_8
| ~ spl62_9
| ~ spl62_10
| ~ spl62_11
| ~ spl62_12
| ~ spl62_13
| ~ spl62_14
| ~ spl62_15
| ~ spl62_16
| ~ spl62_17
| ~ spl62_18
| ~ spl62_23
| spl62_57 ),
inference(sat_conversion,[],[f32664]) ).
cnf(s84,plain,
( spl62_20
| ~ spl62_57 ),
inference(sat_conversion,[],[f37677]) ).
cnf(s117,plain,
spl62_23,
inference(rat,[],[s23,s2,s6,s5,s4,s3,s1]) ).
cnf(s119,plain,
~ spl62_20,
inference(rat,[],[s20,s2,s6,s5,s4,s3,s1]) ).
cnf(s137,plain,
spl62_57,
inference(rat,[],[s52,s1,s2,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s5,s4,s3,s117]) ).
cnf(s139,plain,
$false,
inference(rat,[],[s84,s137,s119]) ).
fof(f37684,plain,
$false,
inference(avatar_sat_refutation,[],[s139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG215+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n020.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 19:45:54 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.30 Running first-order theorem proving
% 0.12/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.59/4.02 % (464595)Detected formulas, will run a generic FOF schedule.
% 13.59/4.02 % (464758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2229515341:s2a=on:i=139:gtg=position_2986 on theBenchmark for (2986ds/139Mi)
% 13.59/4.02 % (464758)Instruction limit reached!
% 13.59/4.02 % (464758)------------------------------
% 13.59/4.02 % (464758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/4.02 % (464758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/4.02 % (464758)CaDiCaL version: 2.1.3
% 13.59/4.02 % (464758)Termination reason: Instruction limit
% 13.59/4.02 % (464758)Termination phase: Property scanning
% 13.59/4.02 % (464758)Time elapsed: 0.033 s
% 13.59/4.02 % (464758)Peak memory usage: 118 MB
% 13.59/4.02 % (464758)Instructions burned: 140 (million)
% 13.59/4.02 % (464756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=987213985:i=109:sd=1:ins=1:gsp=on:ss=axioms_2986 on theBenchmark for (2986ds/109Mi)
% 13.59/4.02 % (464753)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=235362171:i=141193_2986 on theBenchmark for (2986ds/141193Mi)
% 13.59/4.02 % (464757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=171196888:i=119:av=off:ss=axioms_2986 on theBenchmark for (2986ds/119Mi)
% 13.59/4.02 % (464755)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=1899831941:i=141695:sd=1:nm=32:gsp=on:ss=included_2986 on theBenchmark for (2986ds/141695Mi)
% 13.59/4.02 % (464754)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=3160034661:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2986 on theBenchmark for (2986ds/134677Mi)
% 13.59/4.02 % (464759)dis-21_1_sil=8000:lcm=predicate:random_seed=3735725736:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2986 on theBenchmark for (2986ds/129Mi)
% 13.59/4.02 % (464756)Instruction limit reached!
% 13.59/4.02 % (464756)------------------------------
% 13.59/4.02 % (464756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/4.02 % (464756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/4.02 % (464756)CaDiCaL version: 2.1.3
% 13.59/4.02 % (464756)Termination reason: Instruction limit
% 13.59/4.02 % (464756)Termination phase: SInE selection
% 13.59/4.02 % (464756)Time elapsed: 0.081 s
% 13.59/4.02 % (464756)Peak memory usage: 118 MB
% 13.59/4.02 % (464756)Instructions burned: 109 (million)
% 13.59/4.02 % (464757)Instruction limit reached!
% 13.59/4.02 % (464757)------------------------------
% 13.59/4.02 % (464757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/4.02 % (464757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/4.02 % (464757)CaDiCaL version: 2.1.3
% 13.59/4.02 % (464757)Termination reason: Instruction limit
% 13.59/4.02 % (464757)Termination phase: SInE selection
% 13.59/4.02 % (464757)Time elapsed: 0.089 s
% 13.59/4.02 % (464757)Peak memory usage: 118 MB
% 13.59/4.02 % (464757)Instructions burned: 120 (million)
% 13.59/4.02 % (464759)Instruction limit reached!
% 13.59/4.02 % (464759)------------------------------
% 13.59/4.02 % (464759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/4.02 % (464759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/4.02 % (464759)CaDiCaL version: 2.1.3
% 13.59/4.02 % (464759)Termination reason: Instruction limit
% 13.59/4.02 % (464759)Termination phase: SInE selection
% 13.59/4.02 % (464759)Time elapsed: 0.090 s
% 13.59/4.02 % (464759)Peak memory usage: 118 MB
% 13.59/4.02 % (464759)Instructions burned: 130 (million)
% 13.59/4.02 % (464761)lrs+10_1_sil=8000:sp=occurrence:random_seed=2129144156:i=285:sd=3:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/285Mi)
% 13.59/4.02 % (464761)Instruction limit reached!
% 13.59/4.02 % (464761)------------------------------
% 13.59/4.02 % (464761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/4.02 % (464761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/4.02 % (464761)CaDiCaL version: 2.1.3
% 13.59/4.02 % (464761)Termination reason: Instruction limit
% 13.59/4.02 % (464761)Termination phase: Saturation
% 13.59/4.02 % (464761)Time elapsed: 0.116 s
% 13.59/4.02 % (464761)Peak memory usage: 125 MB
% 13.59/4.02 % (464761)Instructions burned: 287 (million)
% 13.59/4.02 % (464769)lrs+1011_1_sil=32000:sp=occurrence:random_seed=973141422:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 19.80/4.75 % (464768)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1733183222:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/157Mi)
% 19.80/4.75 % (464770)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1872549770:s2a=on:i=248:s2at=1.23:gtg=position_2983 on theBenchmark for (2983ds/248Mi)
% 19.80/4.75 % (464768)Instruction limit reached!
% 19.80/4.75 % (464768)------------------------------
% 19.80/4.75 % (464768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464768)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464768)Termination reason: Instruction limit
% 19.80/4.75 % (464768)Termination phase: Property scanning
% 19.80/4.75 % (464768)Time elapsed: 0.069 s
% 19.80/4.75 % (464768)Peak memory usage: 118 MB
% 19.80/4.75 % (464768)Instructions burned: 158 (million)
% 19.80/4.75 % (464772)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3244575034:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2982 on theBenchmark for (2982ds/294Mi)
% 19.80/4.75 % (464770)Instruction limit reached!
% 19.80/4.75 % (464770)------------------------------
% 19.80/4.75 % (464770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464770)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464770)Termination reason: Instruction limit
% 19.80/4.75 % (464770)Termination phase: Property scanning
% 19.80/4.75 % (464770)Time elapsed: 0.107 s
% 19.80/4.75 % (464770)Peak memory usage: 118 MB
% 19.80/4.75 % (464770)Instructions burned: 250 (million)
% 19.80/4.75 % (464769)Refutation not found, incomplete strategy
% 19.80/4.75 % (464769)------------------------------
% 19.80/4.75 % (464769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464769)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464769)Termination reason: Refutation not found, incomplete strategy
% 19.80/4.75 % (464769)Time elapsed: 0.128 s
% 19.80/4.75 % (464769)Peak memory usage: 123 MB
% 19.80/4.75 % (464769)Instructions burned: 147 (million)
% 19.80/4.75 % (464772)Instruction limit reached!
% 19.80/4.75 % (464772)------------------------------
% 19.80/4.75 % (464772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464772)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464772)Termination reason: Instruction limit
% 19.80/4.75 % (464772)Termination phase: Property scanning
% 19.80/4.75 % (464772)Time elapsed: 0.125 s
% 19.80/4.75 % (464772)Peak memory usage: 124 MB
% 19.80/4.75 % (464772)Instructions burned: 296 (million)
% 19.80/4.75 % (464776)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2932297326:i=2350_2981 on theBenchmark for (2981ds/2350Mi)
% 19.80/4.75 % (464778)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4094364926:cts=off:i=113:fsr=off:ss=included:sgt=4_2980 on theBenchmark for (2980ds/113Mi)
% 19.80/4.75 % (464780)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3893575308:i=127:av=off:fsr=off:sup=off_2979 on theBenchmark for (2979ds/127Mi)
% 19.80/4.75 % (464778)Instruction limit reached!
% 19.80/4.75 % (464778)------------------------------
% 19.80/4.75 % (464778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464778)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464778)Termination reason: Instruction limit
% 19.80/4.75 % (464778)Termination phase: SInE selection
% 19.80/4.75 % (464778)Time elapsed: 0.087 s
% 19.80/4.75 % (464778)Peak memory usage: 118 MB
% 19.80/4.75 % (464778)Instructions burned: 114 (million)
% 19.80/4.75 % (464769)------------------------------
% 19.80/4.75 % (464769)------------------------------
% 19.80/4.75 % (464780)Instruction limit reached!
% 19.80/4.75 % (464780)------------------------------
% 19.80/4.75 % (464780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464780)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464780)Termination reason: Instruction limit
% 19.80/4.75 % (464780)Termination phase: Preprocessing 1
% 19.80/4.75 % (464780)Time elapsed: 0.055 s
% 19.80/4.75 % (464780)Peak memory usage: 119 MB
% 19.80/4.75 % (464780)Instructions burned: 127 (million)
% 19.80/4.75 % (464783)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1422727025:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2978 on theBenchmark for (2978ds/114Mi)
% 19.80/4.75 % (464785)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2472631427:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 19.80/4.75 % (464784)lrs+10_1_sil=8000:sp=occurrence:random_seed=451131610:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 19.80/4.75 % (464783)Instruction limit reached!
% 19.80/4.75 % (464783)------------------------------
% 19.80/4.75 % (464783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464783)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464783)Termination reason: Instruction limit
% 19.80/4.75 % (464783)Termination phase: Property scanning
% 19.80/4.75 % (464783)Time elapsed: 0.051 s
% 19.80/4.75 % (464783)Peak memory usage: 118 MB
% 19.80/4.75 % (464783)Instructions burned: 115 (million)
% 19.80/4.75 % (464785)Refutation not found, incomplete strategy
% 19.80/4.75 % (464785)------------------------------
% 19.80/4.75 % (464785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464785)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464785)Termination reason: Refutation not found, incomplete strategy
% 19.80/4.75 % (464785)Time elapsed: 0.078 s
% 19.80/4.75 % (464785)Peak memory usage: 124 MB
% 19.80/4.75 % (464785)Instructions burned: 167 (million)
% 19.80/4.75 % (464785)------------------------------
% 19.80/4.75 % (464785)------------------------------
% 19.80/4.75 % (464789)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2834177527:i=5202:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/5202Mi)
% 19.80/4.75 % (464791)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3529617621:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 19.80/4.75 % (464791)Instruction limit reached!
% 19.80/4.75 % (464791)------------------------------
% 19.80/4.75 % (464791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464791)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464791)Termination reason: Instruction limit
% 19.80/4.75 % (464791)Termination phase: SInE selection
% 19.80/4.75 % (464791)Time elapsed: 0.058 s
% 19.80/4.75 % (464791)Peak memory usage: 118 MB
% 19.80/4.75 % (464791)Instructions burned: 135 (million)
% 19.80/4.75 % (464793)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1794511497:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 19.80/4.75 % (464784)Instruction limit reached!
% 19.80/4.75 % (464784)------------------------------
% 19.80/4.75 % (464784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464784)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464784)Termination reason: Instruction limit
% 19.80/4.75 % (464784)Termination phase: Equality resolution with deletion
% 19.80/4.75 % (464784)Time elapsed: 0.575 s
% 19.80/4.75 % (464784)Peak memory usage: 142 MB
% 19.80/4.75 % (464784)Instructions burned: 908 (million)
% 19.80/4.75 % (464795)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=262813899:st=3:i=13193:sd=3:ss=axioms_2970 on theBenchmark for (2970ds/13193Mi)
% 19.80/4.75 % (464793)Instruction limit reached!
% 19.80/4.75 % (464793)------------------------------
% 19.80/4.75 % (464793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464793)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464793)Termination reason: Instruction limit
% 19.80/4.75 % (464793)Termination phase: Preprocessing 3
% 19.80/4.75 % (464793)Time elapsed: 0.266 s
% 19.80/4.75 % (464793)Peak memory usage: 140 MB
% 19.80/4.75 % (464793)Instructions burned: 594 (million)
% 19.80/4.75 % (464797)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=983884229:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 19.80/4.75 % (464776)Instruction limit reached!
% 19.80/4.75 % (464776)------------------------------
% 19.80/4.75 % (464776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464776)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464776)Termination reason: Instruction limit
% 19.80/4.75 % (464776)Termination phase: Function definition elimination
% 19.80/4.75 % (464776)Time elapsed: 1.278 s
% 19.80/4.75 % (464776)Peak memory usage: 186 MB
% 19.80/4.75 % (464776)Instructions burned: 2352 (million)
% 19.80/4.75 % (464797)Instruction limit reached!
% 19.80/4.75 % (464797)------------------------------
% 19.80/4.75 % (464797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464797)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464797)Termination reason: Instruction limit
% 19.80/4.75 % (464797)Termination phase: Property scanning
% 19.80/4.75 % (464797)Time elapsed: 0.030 s
% 19.80/4.75 % (464797)Peak memory usage: 118 MB
% 19.80/4.75 % (464797)Instructions burned: 128 (million)
% 19.80/4.75 % (464799)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2554601307:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 19.80/4.75 % (464799)Instruction limit reached!
% 19.80/4.75 % (464799)------------------------------
% 19.80/4.75 % (464799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464799)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464799)Termination reason: Instruction limit
% 19.80/4.75 % (464799)Termination phase: Property scanning
% 19.80/4.75 % (464799)Time elapsed: 0.031 s
% 19.80/4.75 % (464799)Peak memory usage: 118 MB
% 19.80/4.75 % (464799)Instructions burned: 135 (million)
% 19.80/4.75 % (464800)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3470657514:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 19.80/4.75 % (464800)Instruction limit reached!
% 19.80/4.75 % (464800)------------------------------
% 19.80/4.75 % (464800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464800)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464800)Termination reason: Instruction limit
% 19.80/4.75 % (464800)Termination phase: Saturation
% 19.80/4.75 % (464800)Time elapsed: 0.116 s
% 19.80/4.75 % (464800)Peak memory usage: 121 MB
% 19.80/4.75 % (464800)Instructions burned: 142 (million)
% 19.80/4.75 % (464802)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1397276829:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 19.80/4.75 % (464755)First to succeed.
% 19.80/4.75 % (464802)Refutation not found, incomplete strategy
% 19.80/4.75 % (464802)------------------------------
% 19.80/4.75 % (464802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/4.75 % (464802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/4.75 % (464802)CaDiCaL version: 2.1.3
% 19.80/4.75 % (464802)Termination reason: Refutation not found, incomplete strategy
% 19.80/4.75 % (464802)Time elapsed: 0.089 s
% 19.80/4.75 % (464802)Peak memory usage: 124 MB
% 19.80/4.75 % (464802)Instructions burned: 149 (million)
% 19.80/4.75 % (464755)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-464595"
% 19.80/4.75 % (464804)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1589333451:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 19.80/4.75 % (464802)------------------------------
% 19.80/4.75 % (464802)------------------------------
% 19.80/4.75 % (464755)Refutation found. Thanks to Tanya!
% 19.80/4.75 % SZS status Theorem for theBenchmark
% 19.80/4.75 % SZS output start Proof for theBenchmark
% See solution above
% 20.73/5.02 % (464755)------------------------------
% 20.73/5.02 % (464755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.73/5.02 % (464755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.73/5.02 % (464755)CaDiCaL version: 2.1.3
% 20.73/5.02 % (464755)Termination reason: Refutation
% 20.73/5.02 % (464755)Time elapsed: 2.171 s
% 20.73/5.02 % (464755)Peak memory usage: 181 MB
% 20.73/5.02 % (464755)Instructions burned: 3652 (million)
% 20.73/5.02 % (464755)------------------------------
% 20.73/5.02 % (464755)------------------------------
% 20.73/5.02 % (464595)Success in time 4.008 s
% 20.73/5.02 % Vampire exiting
%------------------------------------------------------------------------------