%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:29:47 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 65 ( 24 unt; 0 def)
% Number of atoms : 749 ( 19 equ)
% Maximal formula atoms : 41 ( 11 avg)
% Number of connectives : 1198 ( 514 ~; 556 |; 104 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 78 ( 70 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1) )
=> v1_rmod_5(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> ( k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1)
=> k2_rmod_4(X0,X1,X3) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(f68,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m2_rmod_4(X4,X0,X1,X2)
=> ( r1_tarski(X2,X3)
=> m2_rmod_4(X4,X0,X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_rmod_4) ).
fof(f82,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_rmod_5(X2,X0,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_rmod_5(X2,X0,X1)
& r1_tarski(X2,X3)
& v1_rmod_5(X3,X0,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f82]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| ~ m2_rmod_4(X3,X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| ~ m2_rmod_4(X3,X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m2_rmod_4(X4,X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m2_rmod_4(X4,X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f137]) ).
fof(f148,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
v1_rmod_5(sK3,sK0,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f150,plain,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f83]) ).
fof(f151,plain,
~ v1_rmod_5(sK2,sK0,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f152,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f83]) ).
fof(f153,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f154,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f155,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f156,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f157,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f158,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f159,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f160,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f161,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f163,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f164,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f165,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f166,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f167,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f168,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f169,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ m2_rmod_4(X3,X0,X1,X2)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ v1_rmod_5(X2,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f172,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK4(X0,X1,X2),X0,X1,X2)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| v1_rmod_5(X2,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f173,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK4(X0,X1,X2))
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f174,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k1_xboole_0 != k2_rmod_4(X0,X1,sK4(X0,X1,X2))
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X2,X3)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_rmod_4(X4,X0,X1,X2)
| ~ l3_vectsp_1(X0)
| m2_rmod_4(X4,X0,X1,X3) ),
inference(cnf_transformation,[],[f138]) ).
fof(f689,plain,
! [X2,X0,X1] :
( m2_rmod_4(X2,X0,X1,sK3)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_rmod_4(X2,X0,X1,sK2)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(resolution,[],[f244,f150]) ).
fof(f701,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_rmod_4(X2,X0,X1,sK2)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X2)
| k1_xboole_0 = k2_rmod_4(X0,X1,X2)
| ~ v1_rmod_5(sK3,X0,X1) ),
inference(resolution,[],[f689,f171]) ).
fof(f704,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(X2,X0,X1,sK2)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X2)
| k1_xboole_0 = k2_rmod_4(X0,X1,X2)
| ~ v1_rmod_5(sK3,X0,X1) ),
inference(duplicate_literal_removal,[],[f701]) ).
fof(f756,plain,
! [X0,X1] :
( ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,sK4(X0,X1,sK2))
| k1_xboole_0 = k2_rmod_4(X0,X1,sK4(X0,X1,sK2))
| ~ v1_rmod_5(sK3,X0,X1)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| v1_rmod_5(sK2,X0,X1) ),
inference(resolution,[],[f704,f172]) ).
fof(f757,plain,
! [X0,X1] :
( ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,sK4(X0,X1,sK2))
| k1_xboole_0 = k2_rmod_4(X0,X1,sK4(X0,X1,sK2))
| ~ v1_rmod_5(sK3,X0,X1)
| v1_rmod_5(sK2,X0,X1) ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f759,plain,
! [X0,X1] :
( ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| k1_xboole_0 = k2_rmod_4(X0,X1,sK4(X0,X1,sK2))
| ~ v1_rmod_5(sK3,X0,X1)
| v1_rmod_5(sK2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f757,f173]) ).
fof(f760,plain,
! [X0,X1] :
( ~ v1_rmod_5(sK3,X0,X1)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| v1_rmod_5(sK2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f759,f174]) ).
fof(f763,plain,
( ~ v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(resolution,[],[f760,f149]) ).
fof(f768,plain,
( ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f763,f164]) ).
fof(f769,plain,
( ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f768,f165]) ).
fof(f770,plain,
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f769,f166]) ).
fof(f771,plain,
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f770,f167]) ).
fof(f772,plain,
( v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f771,f168]) ).
fof(f773,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f772,f169]) ).
fof(f774,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f773,f153]) ).
fof(f775,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f774,f154]) ).
fof(f776,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f775,f155]) ).
fof(f777,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f776,f156]) ).
fof(f778,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f777,f157]) ).
fof(f779,plain,
( v3_struct_0(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f778,f158]) ).
fof(f780,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f779,f159]) ).
fof(f781,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f780,f152]) ).
fof(f782,plain,
( ~ v7_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f781,f148]) ).
fof(f783,plain,
( ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f782,f162]) ).
fof(f784,plain,
( ~ v8_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f783,f160]) ).
fof(f785,plain,
( ~ v6_vectsp_1(sK0)
| v1_rmod_5(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f784,f161]) ).
fof(f786,plain,
v1_rmod_5(sK2,sK0,sK1),
inference(forward_subsumption_resolution,[],[f785,f163]) ).
fof(f787,plain,
$false,
inference(forward_subsumption_resolution,[],[f786,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG214+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:43:32 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.28 % (682495)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (682500)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1755818873_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (682501)% WARNING: option uhcvi not known.
% 0.19/0.28 % TRYING [1]
% 0.19/0.28 % TRYING [2]
% 0.19/0.28 % (682501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=579229415:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (682502)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=562989360:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (682503)dis+10_1_sil=32000:sp=arity:random_seed=3886410401:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (682504)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2714524186:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % TRYING [3]
% 0.19/0.28 % (682505)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2332643710:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (682506)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1421841337:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % TRYING [4]
% 0.19/0.28 % (682504) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-682495-682504"...
% 0.19/0.28 % (682504)...printing done.
% 0.19/0.28 % (682504)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (682504)------------------------------
% 0.19/0.28 % (682504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (682504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (682504)CaDiCaL version: 2.1.3
% 0.19/0.28 % (682504)Termination reason: Refutation
% 0.19/0.28 % (682504)Time elapsed: 0.022 s
% 0.19/0.28 % (682504)Peak memory usage: 12 MB
% 0.19/0.28 % (682504)Instructions burned: 36 (million)
% 0.19/0.28 % (682495)Success in time 0.056 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------