%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG215+2 : 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 : n019.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 09:19:20 AM UTC 2026
% Result : Theorem 6.23s 2.30s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 8
% Syntax : Number of formulae : 100 ( 29 unt; 0 def)
% Number of atoms : 1106 ( 68 equ)
% Maximal formula atoms : 37 ( 11 avg)
% Number of connectives : 1801 ( 795 ~; 831 |; 153 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 100 ( 94 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f563,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f1962,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f3354,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_rmod_4(X2,X0,X1)
=> ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_rmod_4) ).
fof(f3362,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] :
( m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
=> X2 = k3_rmod_4(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_rmod_4) ).
fof(f3432,axiom,
! [X0,X1] :
( ( ~ 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_rmod_4(k3_rmod_4(X0,X1),X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_rmod_4) ).
fof(f3443,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(f3447,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(f3448,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)],[f3447]) ).
fof(f7181,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 )
| ~ m1_rmod_4(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3354]) ).
fof(f7182,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 )
| ~ m1_rmod_4(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f7181]) ).
fof(f7191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_rmod_4(X0,X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_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,[],[f3362]) ).
fof(f7192,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_rmod_4(X0,X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_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,[],[f7191]) ).
fof(f7305,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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) ),
inference(ennf_transformation,[],[f3432]) ).
fof(f7306,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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) ),
inference(flattening,[],[f7305]) ).
fof(f7327,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,[],[f3443]) ).
fof(f7328,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,[],[f7327]) ).
fof(f7333,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,[],[f3448]) ).
fof(f7334,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,[],[f7333]) ).
fof(f9221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_rmod_4(X0,X1)
| k1_xboole_0 != k2_rmod_4(X0,X1,X2) )
& ( k2_rmod_4(X0,X1,X2) = k1_xboole_0
| k3_rmod_4(X0,X1) != X2 ) )
| ~ m1_rmod_4(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(nnf_transformation,[],[f7182]) ).
fof(f9249,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,[],[f7328]) ).
fof(f9250,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,[],[f9249]) ).
fof(f9251,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ( k1_xboole_0 != k2_rmod_4(X0,X1,sK1074(X0,X1,X2))
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK1074(X0,X1,X2))
& m2_rmod_4(sK1074(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,[sK1074]),skolemize(X3,sK1074(X0,X1,X2))],[f9250]) ).
fof(f9252,plain,
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK1076)),sK1075,sK1076)
& ~ v3_struct_0(sK1076)
& v3_rlvect_1(sK1076)
& v4_rlvect_1(sK1076)
& v5_rlvect_1(sK1076)
& v6_rlvect_1(sK1076)
& v5_vectsp_2(sK1076,sK1075)
& l1_vectsp_2(sK1076,sK1075)
& ~ v3_struct_0(sK1075)
& v3_rlvect_1(sK1075)
& v4_rlvect_1(sK1075)
& v5_rlvect_1(sK1075)
& v6_rlvect_1(sK1075)
& v4_group_1(sK1075)
& v6_vectsp_1(sK1075)
& v7_vectsp_1(sK1075)
& v8_vectsp_1(sK1075)
& l3_vectsp_1(sK1075) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1075,sK1076]),skolemize(X0,sK1075),skolemize(X1,sK1076)],[f7334]) ).
fof(f9906,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f10018,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f563]) ).
fof(f12835,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f1962]) ).
fof(f15337,plain,
! [X2,X0,X1] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X2)
| k3_rmod_4(X0,X1) != X2
| ~ m1_rmod_4(X2,X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f9221]) ).
fof(f15344,plain,
! [X2,X0,X1] :
( k3_rmod_4(X0,X1) = X2
| ~ m2_rmod_4(X2,X0,X1,k1_subset_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,[],[f7192]) ).
fof(f15422,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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) ),
inference(cnf_transformation,[],[f7306]) ).
fof(f15438,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK1074(X0,X1,X2),X0,X1,X2)
| v1_rmod_5(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f9251]) ).
fof(f15440,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| k1_xboole_0 != k2_rmod_4(X0,X1,sK1074(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,[],[f9251]) ).
fof(f15443,plain,
l3_vectsp_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15444,plain,
v8_vectsp_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15445,plain,
v7_vectsp_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15446,plain,
v6_vectsp_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15447,plain,
v4_group_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15448,plain,
v6_rlvect_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15449,plain,
v5_rlvect_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15450,plain,
v4_rlvect_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15451,plain,
v3_rlvect_1(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15452,plain,
~ v3_struct_0(sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15453,plain,
l1_vectsp_2(sK1076,sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15454,plain,
v5_vectsp_2(sK1076,sK1075),
inference(cnf_transformation,[],[f9252]) ).
fof(f15455,plain,
v6_rlvect_1(sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15456,plain,
v5_rlvect_1(sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15457,plain,
v4_rlvect_1(sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15458,plain,
v3_rlvect_1(sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15459,plain,
~ v3_struct_0(sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15460,plain,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK1076)),sK1075,sK1076),
inference(cnf_transformation,[],[f9252]) ).
fof(f15471,plain,
! [X0] : k1_subset_1(X0) = np__0,
inference(definition_unfolding,[],[f9906,f12835]) ).
fof(f15906,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f10018,f15471]) ).
fof(f16856,plain,
! [X2,X0,X1] :
( np__0 = k2_rmod_4(X0,X1,X2)
| k3_rmod_4(X0,X1) != X2
| ~ m1_rmod_4(X2,X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(definition_unfolding,[],[f15337,f12835]) ).
fof(f16857,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(X2,X0,X1,np__0)
| k3_rmod_4(X0,X1) = X2
| 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,[],[f15344,f15471]) ).
fof(f16864,plain,
! [X2,X0,X1] :
( np__0 != k2_rmod_4(X0,X1,sK1074(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(definition_unfolding,[],[f15440,f12835]) ).
fof(f16866,plain,
~ v1_rmod_5(np__0,sK1075,sK1076),
inference(definition_unfolding,[],[f15460,f15471]) ).
fof(f17542,plain,
! [X0,X1] :
( np__0 = k2_rmod_4(X0,X1,k3_rmod_4(X0,X1))
| ~ m1_rmod_4(k3_rmod_4(X0,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(equality_resolution,[],[f16856]) ).
fof(f17587,plain,
! [X0,X1] :
( np__0 = k2_rmod_4(X0,X1,k3_rmod_4(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(forward_subsumption_resolution,[],[f17542,f15422]) ).
fof(f20884,plain,
! [X0,X1] :
( k3_rmod_4(X0,X1) = sK1074(X0,X1,np__0)
| 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)
| v1_rmod_5(np__0,X0,X1)
| ~ m1_subset_1(np__0,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(resolution,[],[f16857,f15438]) ).
fof(f20885,plain,
! [X0,X1] :
( k3_rmod_4(X0,X1) = sK1074(X0,X1,np__0)
| 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)
| v1_rmod_5(np__0,X0,X1)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(duplicate_literal_removal,[],[f20884]) ).
fof(f20886,plain,
! [X0,X1] :
( v1_rmod_5(np__0,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)
| k3_rmod_4(X0,X1) = sK1074(X0,X1,np__0) ),
inference(forward_subsumption_resolution,[],[f20885,f15906]) ).
fof(f20887,plain,
( v3_struct_0(sK1076)
| ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(resolution,[],[f20886,f16866]) ).
fof(f20888,plain,
( ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20887,f15459]) ).
fof(f20889,plain,
( ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20888,f15458]) ).
fof(f20890,plain,
( ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20889,f15457]) ).
fof(f20891,plain,
( ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20890,f15456]) ).
fof(f20892,plain,
( ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20891,f15455]) ).
fof(f20893,plain,
( ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20892,f15454]) ).
fof(f20894,plain,
( v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20893,f15453]) ).
fof(f20895,plain,
( ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20894,f15452]) ).
fof(f20896,plain,
( ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20895,f15451]) ).
fof(f20897,plain,
( ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20896,f15450]) ).
fof(f20898,plain,
( ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20897,f15449]) ).
fof(f20899,plain,
( ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20898,f15448]) ).
fof(f20900,plain,
( ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20899,f15447]) ).
fof(f20901,plain,
( ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20900,f15446]) ).
fof(f20902,plain,
( ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20901,f15445]) ).
fof(f20903,plain,
( ~ l3_vectsp_1(sK1075)
| k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0) ),
inference(forward_subsumption_resolution,[],[f20902,f15444]) ).
fof(f20904,plain,
k3_rmod_4(sK1075,sK1076) = sK1074(sK1075,sK1076,np__0),
inference(forward_subsumption_resolution,[],[f20903,f15443]) ).
fof(f20905,plain,
( np__0 != k2_rmod_4(sK1075,sK1076,k3_rmod_4(sK1075,sK1076))
| v1_rmod_5(np__0,sK1075,sK1076)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v3_struct_0(sK1076)
| ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(superposition,[],[f16864,f20904]) ).
fof(f20907,plain,
( v1_rmod_5(np__0,sK1075,sK1076)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v3_struct_0(sK1076)
| ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20905,f17587]) ).
fof(f20908,plain,
( ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK1076)))
| v3_struct_0(sK1076)
| ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20907,f16866]) ).
fof(f20909,plain,
( v3_struct_0(sK1076)
| ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20908,f15906]) ).
fof(f20910,plain,
( ~ v3_rlvect_1(sK1076)
| ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20909,f15459]) ).
fof(f20911,plain,
( ~ v4_rlvect_1(sK1076)
| ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20910,f15458]) ).
fof(f20912,plain,
( ~ v5_rlvect_1(sK1076)
| ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20911,f15457]) ).
fof(f20913,plain,
( ~ v6_rlvect_1(sK1076)
| ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20912,f15456]) ).
fof(f20914,plain,
( ~ v5_vectsp_2(sK1076,sK1075)
| ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20913,f15455]) ).
fof(f20915,plain,
( ~ l1_vectsp_2(sK1076,sK1075)
| v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20914,f15454]) ).
fof(f20916,plain,
( v3_struct_0(sK1075)
| ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20915,f15453]) ).
fof(f20917,plain,
( ~ v3_rlvect_1(sK1075)
| ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20916,f15452]) ).
fof(f20918,plain,
( ~ v4_rlvect_1(sK1075)
| ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20917,f15451]) ).
fof(f20919,plain,
( ~ v5_rlvect_1(sK1075)
| ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20918,f15450]) ).
fof(f20920,plain,
( ~ v6_rlvect_1(sK1075)
| ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20919,f15449]) ).
fof(f20921,plain,
( ~ v4_group_1(sK1075)
| ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20920,f15448]) ).
fof(f20922,plain,
( ~ v6_vectsp_1(sK1075)
| ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20921,f15447]) ).
fof(f20923,plain,
( ~ v7_vectsp_1(sK1075)
| ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20922,f15446]) ).
fof(f20924,plain,
( ~ v8_vectsp_1(sK1075)
| ~ l3_vectsp_1(sK1075) ),
inference(forward_subsumption_resolution,[],[f20923,f15445]) ).
fof(f20925,plain,
~ l3_vectsp_1(sK1075),
inference(forward_subsumption_resolution,[],[f20924,f15444]) ).
fof(f20926,plain,
$false,
inference(forward_subsumption_resolution,[],[f20925,f15443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG215+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:44:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.23/2.30 % (157702)Detected formulas, will run a generic FOF schedule.
% 6.23/2.30 % (157707)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=3151387718:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 6.23/2.30 % (157713)dis-21_1_sil=8000:lcm=predicate:random_seed=2530833235:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 6.23/2.30 % (157711)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2439776057:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 6.23/2.30 % (157708)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=3801070452:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 6.23/2.30 % (157712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1605345633:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 6.23/2.30 % (157710)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3117579136:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 6.23/2.30 % (157709)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=2234255978:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 6.23/2.30 % (157710)Refutation not found, incomplete strategy
% 6.23/2.30 % (157710)------------------------------
% 6.23/2.30 % (157710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157710)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157710)Termination reason: Refutation not found, incomplete strategy
% 6.23/2.30 % (157710)Time elapsed: 0.017 s
% 6.23/2.30 % (157710)Peak memory usage: 92 MB
% 6.23/2.30 % (157710)Instructions burned: 22 (million)
% 6.23/2.30 % (157711)Instruction limit reached!
% 6.23/2.30 % (157711)------------------------------
% 6.23/2.30 % (157711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157711)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157711)Termination reason: Instruction limit
% 6.23/2.30 % (157711)Termination phase: Saturation
% 6.23/2.30 % (157711)Time elapsed: 0.067 s
% 6.23/2.30 % (157711)Peak memory usage: 93 MB
% 6.23/2.30 % (157711)Instructions burned: 120 (million)
% 6.23/2.30 % (157713)Instruction limit reached!
% 6.23/2.30 % (157713)------------------------------
% 6.23/2.30 % (157713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157713)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157713)Termination reason: Instruction limit
% 6.23/2.30 % (157713)Termination phase: Property scanning
% 6.23/2.30 % (157713)Time elapsed: 0.082 s
% 6.23/2.30 % (157713)Peak memory usage: 94 MB
% 6.23/2.30 % (157713)Instructions burned: 130 (million)
% 6.23/2.30 % (157712)Instruction limit reached!
% 6.23/2.30 % (157712)------------------------------
% 6.23/2.30 % (157712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157712)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157712)Termination reason: Instruction limit
% 6.23/2.30 % (157712)Termination phase: Preprocessing 3
% 6.23/2.30 % (157712)Time elapsed: 0.086 s
% 6.23/2.30 % (157712)Peak memory usage: 94 MB
% 6.23/2.30 % (157712)Instructions burned: 140 (million)
% 6.23/2.30 % (157722)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1908308839:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.23/2.30 % (157721)lrs+10_1_sil=8000:sp=occurrence:random_seed=2127932177:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.23/2.30 % (157723)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2489442016:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.23/2.30 % (157722)Refutation not found, incomplete strategy
% 6.23/2.30 % (157722)------------------------------
% 6.23/2.30 % (157722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157722)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157722)Termination reason: Refutation not found, incomplete strategy
% 6.23/2.30 % (157722)Time elapsed: 0.032 s
% 6.23/2.30 % (157722)Peak memory usage: 93 MB
% 6.23/2.30 % (157722)Instructions burned: 60 (million)
% 6.23/2.30 % (157723)Refutation not found, incomplete strategy
% 6.23/2.30 % (157723)------------------------------
% 6.23/2.30 % (157723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157723)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157723)Termination reason: Refutation not found, incomplete strategy
% 6.23/2.30 % (157723)Time elapsed: 0.020 s
% 6.23/2.30 % (157723)Peak memory usage: 93 MB
% 6.23/2.30 % (157723)Instructions burned: 27 (million)
% 6.23/2.30 % (157710)------------------------------
% 6.23/2.30 % (157710)------------------------------
% 6.23/2.30 % (157727)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=1107910751:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 6.23/2.30 % (157721)Instruction limit reached!
% 6.23/2.30 % (157721)------------------------------
% 6.23/2.30 % (157721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157721)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157721)Termination reason: Instruction limit
% 6.23/2.30 % (157721)Termination phase: Saturation
% 6.23/2.30 % (157721)Time elapsed: 0.191 s
% 6.23/2.30 % (157721)Peak memory usage: 96 MB
% 6.23/2.30 % (157721)Instructions burned: 285 (million)
% 6.23/2.30 % (157722)------------------------------
% 6.23/2.30 % (157722)------------------------------
% 6.23/2.30 % (157723)------------------------------
% 6.23/2.30 % (157723)------------------------------
% 6.23/2.30 % (157727)Instruction limit reached!
% 6.23/2.30 % (157727)------------------------------
% 6.23/2.30 % (157727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157727)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157727)Termination reason: Instruction limit
% 6.23/2.30 % (157727)Termination phase: Function definition elimination
% 6.23/2.30 % (157727)Time elapsed: 0.138 s
% 6.23/2.30 % (157727)Peak memory usage: 96 MB
% 6.23/2.30 % (157727)Instructions burned: 249 (million)
% 6.23/2.30 % (157729)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2379759927:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.23/2.30 % (157729)Refutation not found, incomplete strategy
% 6.23/2.30 % (157729)------------------------------
% 6.23/2.30 % (157729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157729)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157729)Termination reason: Refutation not found, incomplete strategy
% 6.23/2.30 % (157729)Time elapsed: 0.061 s
% 6.23/2.30 % (157729)Peak memory usage: 94 MB
% 6.23/2.30 % (157729)Instructions burned: 99 (million)
% 6.23/2.30 % (157730)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3335275697:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.23/2.30 % (157731)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2564500468:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.23/2.30 % (157732)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3999079876:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.23/2.30 % (157731)Instruction limit reached!
% 6.23/2.30 % (157731)------------------------------
% 6.23/2.30 % (157731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157731)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157731)Termination reason: Instruction limit
% 6.23/2.30 % (157731)Termination phase: Saturation
% 6.23/2.30 % (157731)Time elapsed: 0.065 s
% 6.23/2.30 % (157731)Peak memory usage: 93 MB
% 6.23/2.30 % (157731)Instructions burned: 113 (million)
% 6.23/2.30 % (157732)Instruction limit reached!
% 6.23/2.30 % (157732)------------------------------
% 6.23/2.30 % (157732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157732)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157732)Termination reason: Instruction limit
% 6.23/2.30 % (157732)Termination phase: Property scanning
% 6.23/2.30 % (157732)Time elapsed: 0.083 s
% 6.23/2.30 % (157732)Peak memory usage: 96 MB
% 6.23/2.30 % (157732)Instructions burned: 129 (million)
% 6.23/2.30 % (157737)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2165273825:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 6.23/2.30 % (157729)------------------------------
% 6.23/2.30 % (157729)------------------------------
% 6.23/2.30 % (157737)Instruction limit reached!
% 6.23/2.30 % (157737)------------------------------
% 6.23/2.30 % (157737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157737)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157737)Termination reason: Instruction limit
% 6.23/2.30 % (157737)Termination phase: Preprocessing 3
% 6.23/2.30 % (157737)Time elapsed: 0.058 s
% 6.23/2.30 % (157737)Peak memory usage: 91 MB
% 6.23/2.30 % (157737)Instructions burned: 114 (million)
% 6.23/2.30 % (157738)lrs+10_1_sil=8000:sp=occurrence:random_seed=2597171838:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 6.23/2.30 % (157740)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=139676049:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 6.23/2.30 % (157740)Refutation not found, incomplete strategy
% 6.23/2.30 % (157740)------------------------------
% 6.23/2.30 % (157740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.30 % (157740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.30 % (157740)CaDiCaL version: 2.1.3
% 6.23/2.30 % (157740)Termination reason: Refutation not found, incomplete strategy
% 6.23/2.30 % (157740)Time elapsed: 0.024 s
% 6.23/2.30 % (157740)Peak memory usage: 93 MB
% 6.23/2.30 % (157740)Instructions burned: 36 (million)
% 6.23/2.30 % (157741)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3823451837:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 6.23/2.30 % (157707)First to succeed.
% 6.23/2.30 % (157707)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-157702"
% 6.23/2.30 % (157740)------------------------------
% 6.23/2.30 % (157740)------------------------------
% 6.23/2.30 % (157707)Refutation found. Thanks to Tanya!
% 6.23/2.30 % SZS status Theorem for theBenchmark
% 6.23/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/2.39 % (157707)------------------------------
% 6.23/2.39 % (157707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/2.39 % (157707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/2.39 % (157707)CaDiCaL version: 2.1.3
% 6.23/2.39 % (157707)Termination reason: Refutation
% 6.23/2.39 % (157707)Time elapsed: 1.232 s
% 6.23/2.39 % (157707)Peak memory usage: 223 MB
% 6.23/2.39 % (157707)Instructions burned: 3823 (million)
% 6.23/2.39 % (157707)------------------------------
% 6.23/2.39 % (157707)------------------------------
% 6.23/2.39 % (157702)Success in time 1.64 s
% 6.23/2.39 % Vampire exiting
%------------------------------------------------------------------------------