%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP645+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 : n014.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 10:15:16 AM UTC 2026
% Result : Theorem 7.68s 4.51s
% Output : Refutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 152 ( 28 unt; 10 def)
% Number of atoms : 768 ( 45 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 1044 ( 428 ~; 491 |; 88 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn 112 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21806,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> v4_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_group_2) ).
fof(f21874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_group_2) ).
fof(f21924,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( m1_group_2(X1,X2)
=> m1_group_2(k9_group_2(X0,X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_group_2) ).
fof(f22007,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f22020,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0)
& m1_group_2(X2,X0) )
=> ( v1_group_1(k9_group_2(X0,X1,X2))
& m1_group_2(k9_group_2(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_group_2) ).
fof(f36487,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f36504,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f36513,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_latsubgr) ).
fof(f36514,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).
fof(f36515,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36514]) ).
fof(f36562,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36487]) ).
fof(f36563,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36562]) ).
fof(f36592,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36504]) ).
fof(f36593,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36592]) ).
fof(f36604,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36513]) ).
fof(f36605,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36604]) ).
fof(f36606,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) != k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2))
& v1_group_1(X2)
& m1_group_2(X2,X0) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f36515]) ).
fof(f36607,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) != k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2))
& v1_group_1(X2)
& m1_group_2(X2,X0) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f36606]) ).
fof(f36634,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22007]) ).
fof(f36635,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36634]) ).
fof(f36640,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21874]) ).
fof(f36641,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36640]) ).
fof(f36648,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21806]) ).
fof(f36649,plain,
! [X0] :
( ! [X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36648]) ).
fof(f36723,plain,
! [X0,X1,X2] :
( ( v1_group_1(k9_group_2(X0,X1,X2))
& m1_group_2(k9_group_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f22020]) ).
fof(f36724,plain,
! [X0,X1,X2] :
( ( v1_group_1(k9_group_2(X0,X1,X2))
& m1_group_2(k9_group_2(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f36723]) ).
fof(f36731,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_group_2(k9_group_2(X0,X1,X3),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21924]) ).
fof(f36732,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_group_2(k9_group_2(X0,X1,X3),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36731]) ).
fof(f37154,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& v1_group_1(X2)
& m1_group_2(X2,X0) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f36593]) ).
fof(f37155,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& v1_group_1(X2)
& m1_group_2(X2,X0) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f37154]) ).
fof(f37156,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ( k1_funct_1(X1,sK5(X0,X1)) != u1_struct_0(sK5(X0,X1))
& v1_group_1(sK5(X0,X1))
& m1_group_2(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f37155]) ).
fof(f37158,plain,
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK6),sK7),k1_funct_1(k1_latsubgr(sK6),sK8)) != k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8))
& v1_group_1(sK8)
& m1_group_2(sK8,sK6)
& v1_group_1(sK7)
& m1_group_2(sK7,sK6)
& ~ v3_struct_0(sK6)
& v3_group_1(sK6)
& v4_group_1(sK6)
& l1_group_1(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f36607]) ).
fof(f37322,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36563]) ).
fof(f37323,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36563]) ).
fof(f37324,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36563]) ).
fof(f37350,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| k1_latsubgr(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37156]) ).
fof(f37360,plain,
! [X2,X0,X1] :
( u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36605]) ).
fof(f37361,plain,
l1_group_1(sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37362,plain,
v4_group_1(sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37363,plain,
v3_group_1(sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37364,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37365,plain,
m1_group_2(sK7,sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37366,plain,
v1_group_1(sK7),
inference(cnf_transformation,[],[f37158]) ).
fof(f37367,plain,
m1_group_2(sK8,sK6),
inference(cnf_transformation,[],[f37158]) ).
fof(f37368,plain,
v1_group_1(sK8),
inference(cnf_transformation,[],[f37158]) ).
fof(f37369,plain,
k3_xboole_0(k1_funct_1(k1_latsubgr(sK6),sK7),k1_funct_1(k1_latsubgr(sK6),sK8)) != k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)),
inference(cnf_transformation,[],[f37158]) ).
fof(f37415,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36635]) ).
fof(f37416,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36635]) ).
fof(f37417,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36635]) ).
fof(f37420,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36641]) ).
fof(f37425,plain,
! [X0,X1] :
( v4_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36649]) ).
fof(f37526,plain,
! [X2,X0,X1] :
( v1_group_1(k9_group_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f36724]) ).
fof(f37531,plain,
! [X2,X3,X0,X1] :
( m1_group_2(k9_group_2(X0,X1,X3),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36732]) ).
fof(f38165,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f37350]) ).
fof(f38340,definition,
( spl150_1
<=> v3_struct_0(sK6) ),
introduced(definition,[new_symbols(definition,[spl150_1])],[avatar_definition]) ).
fof(f38342,plain,
( ~ v3_struct_0(sK6)
| spl150_1 ),
inference(avatar_component_clause,[],[f38340]) ).
fof(f38343,plain,
~ spl150_1,
inference(avatar_split_clause,[],[f37364,f38340]) ).
fof(f38392,plain,
( ! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ v3_group_1(sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(resolution,[],[f38342,f37415]) ).
fof(f38393,plain,
( ! [X0] :
( v3_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ v3_group_1(sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(resolution,[],[f38342,f37416]) ).
fof(f38394,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_group_2(X0,sK6)
| ~ v3_group_1(sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(resolution,[],[f38342,f37417]) ).
fof(f38399,plain,
( m1_group_2(sK6,sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1 ),
inference(resolution,[],[f38342,f37420]) ).
fof(f38403,plain,
( ! [X0] :
( v4_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(resolution,[],[f38342,f37425]) ).
fof(f39006,plain,
( ! [X0] :
( v4_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f38403,f37363]) ).
fof(f39010,plain,
( m1_group_2(sK6,sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f38399,f37363]) ).
fof(f39015,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f38394,f37363]) ).
fof(f39016,plain,
( ! [X0] :
( v3_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f38393,f37363]) ).
fof(f39017,plain,
( ! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f38392,f37363]) ).
fof(f39320,plain,
( ! [X0] :
( v4_group_1(X0)
| ~ m1_group_2(X0,sK6)
| ~ l1_group_1(sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39006,f37362]) ).
fof(f39324,plain,
( m1_group_2(sK6,sK6)
| ~ l1_group_1(sK6)
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39010,f37362]) ).
fof(f39329,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_group_2(X0,sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39015,f37361]) ).
fof(f39330,plain,
( ! [X0] :
( v3_group_1(X0)
| ~ m1_group_2(X0,sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39016,f37361]) ).
fof(f39331,plain,
( ! [X0] :
( l1_group_1(X0)
| ~ m1_group_2(X0,sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39017,f37361]) ).
fof(f39622,plain,
( ! [X0] :
( v4_group_1(X0)
| ~ m1_group_2(X0,sK6) )
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39320,f37361]) ).
fof(f39625,plain,
( m1_group_2(sK6,sK6)
| spl150_1 ),
inference(forward_subsumption_resolution,[],[f39324,f37361]) ).
fof(f39712,definition,
( spl150_2
<=> k3_xboole_0(k1_funct_1(k1_latsubgr(sK6),sK7),k1_funct_1(k1_latsubgr(sK6),sK8)) = k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) ),
introduced(definition,[new_symbols(definition,[spl150_2])],[avatar_definition]) ).
fof(f39714,plain,
( k3_xboole_0(k1_funct_1(k1_latsubgr(sK6),sK7),k1_funct_1(k1_latsubgr(sK6),sK8)) != k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8))
| spl150_2 ),
inference(avatar_component_clause,[],[f39712]) ).
fof(f39715,plain,
~ spl150_2,
inference(avatar_split_clause,[],[f37369,f39712]) ).
fof(f39725,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ v1_group_1(sK8)
| ~ m1_group_2(sK8,sK6)
| ~ v1_group_1(sK7)
| ~ m1_group_2(sK7,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_2 ),
inference(superposition,[],[f39714,f37360]) ).
fof(f39734,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(sK8,sK6)
| ~ v1_group_1(sK7)
| ~ m1_group_2(sK7,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39725,f37368]) ).
fof(f39744,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ v1_group_1(sK7)
| ~ m1_group_2(sK7,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39734,f37367]) ).
fof(f39754,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(sK7,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39744,f37366]) ).
fof(f39760,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39754,f37365]) ).
fof(f39766,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39760,f38342]) ).
fof(f39769,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39766,f37363]) ).
fof(f39772,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ l1_group_1(sK6)
| spl150_1
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39769,f37362]) ).
fof(f39775,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| spl150_1
| spl150_2 ),
inference(forward_subsumption_resolution,[],[f39772,f37361]) ).
fof(f39782,definition,
( spl150_3
<=> k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) = u1_struct_0(k9_group_2(sK6,sK7,sK8)) ),
introduced(definition,[new_symbols(definition,[spl150_3])],[avatar_definition]) ).
fof(f39784,plain,
( k1_funct_1(k1_latsubgr(sK6),k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| spl150_3 ),
inference(avatar_component_clause,[],[f39782]) ).
fof(f39785,plain,
( ~ spl150_3
| spl150_1
| spl150_2 ),
inference(avatar_split_clause,[],[f39775,f39712,f38340,f39782]) ).
fof(f39791,plain,
( u1_struct_0(k9_group_2(sK6,sK7,sK8)) != u1_struct_0(k9_group_2(sK6,sK7,sK8))
| ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ v1_funct_1(k1_latsubgr(sK6))
| ~ v1_funct_2(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m2_relset_1(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_3 ),
inference(superposition,[],[f39784,f38165]) ).
fof(f39794,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ v1_funct_1(k1_latsubgr(sK6))
| ~ v1_funct_2(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m2_relset_1(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_3 ),
inference(trivial_inequality_removal,[],[f39791]) ).
fof(f39797,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ v1_funct_2(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m2_relset_1(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39794,f37324]) ).
fof(f39804,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ m2_relset_1(k1_latsubgr(sK6),k1_group_3(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39797,f37323]) ).
fof(f39809,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39804,f37322]) ).
fof(f39814,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39809,f38342]) ).
fof(f39819,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39814,f37363]) ).
fof(f39820,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39819,f37362]) ).
fof(f39821,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| spl150_1
| spl150_3 ),
inference(forward_subsumption_resolution,[],[f39820,f37361]) ).
fof(f39828,definition,
( spl150_5
<=> l1_group_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl150_5])],[avatar_definition]) ).
fof(f39830,plain,
( l1_group_1(sK6)
| ~ spl150_5 ),
inference(avatar_component_clause,[],[f39828]) ).
fof(f39831,plain,
spl150_5,
inference(avatar_split_clause,[],[f37361,f39828]) ).
fof(f39843,definition,
( spl150_8
<=> m1_group_2(sK8,sK6) ),
introduced(definition,[new_symbols(definition,[spl150_8])],[avatar_definition]) ).
fof(f39845,plain,
( m1_group_2(sK8,sK6)
| ~ spl150_8 ),
inference(avatar_component_clause,[],[f39843]) ).
fof(f39846,plain,
spl150_8,
inference(avatar_split_clause,[],[f37367,f39843]) ).
fof(f41076,definition,
( spl150_9
<=> m1_group_2(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl150_9])],[avatar_definition]) ).
fof(f41078,plain,
( m1_group_2(sK7,sK6)
| ~ spl150_9 ),
inference(avatar_component_clause,[],[f41076]) ).
fof(f41079,plain,
spl150_9,
inference(avatar_split_clause,[],[f37365,f41076]) ).
fof(f43342,definition,
( spl150_12
<=> v3_group_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl150_12])],[avatar_definition]) ).
fof(f43344,plain,
( v3_group_1(sK6)
| ~ spl150_12 ),
inference(avatar_component_clause,[],[f43342]) ).
fof(f43345,plain,
spl150_12,
inference(avatar_split_clause,[],[f37363,f43342]) ).
fof(f43347,definition,
( spl150_13
<=> v4_group_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl150_13])],[avatar_definition]) ).
fof(f43349,plain,
( v4_group_1(sK6)
| ~ spl150_13 ),
inference(avatar_component_clause,[],[f43347]) ).
fof(f43350,plain,
spl150_13,
inference(avatar_split_clause,[],[f37362,f43347]) ).
fof(f44336,definition,
( spl150_21
<=> m1_group_2(k9_group_2(sK6,sK7,sK8),sK6) ),
introduced(definition,[new_symbols(definition,[spl150_21])],[avatar_definition]) ).
fof(f44338,plain,
( ~ m1_group_2(k9_group_2(sK6,sK7,sK8),sK6)
| spl150_21 ),
inference(avatar_component_clause,[],[f44336]) ).
fof(f44340,definition,
( spl150_22
<=> v1_group_1(k9_group_2(sK6,sK7,sK8)) ),
introduced(definition,[new_symbols(definition,[spl150_22])],[avatar_definition]) ).
fof(f44342,plain,
( ~ v1_group_1(k9_group_2(sK6,sK7,sK8))
| spl150_22 ),
inference(avatar_component_clause,[],[f44340]) ).
fof(f44343,plain,
( ~ spl150_21
| ~ spl150_22
| spl150_1
| spl150_3 ),
inference(avatar_split_clause,[],[f39821,f39782,f38340,f44340,f44336]) ).
fof(f44355,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| ~ m1_group_2(sK7,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_21 ),
inference(resolution,[],[f44338,f37531]) ).
fof(f44358,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_21 ),
inference(duplicate_literal_removal,[],[f44355]) ).
fof(f44361,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44358,f39329]) ).
fof(f44368,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44361,f39330]) ).
fof(f44374,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| ~ l1_group_1(sK6)
| spl150_1
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44368,f39622]) ).
fof(f44380,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| spl150_1
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44374,f39331]) ).
fof(f44385,plain,
( ~ m1_group_2(sK8,sK6)
| ~ m1_group_2(sK6,sK6)
| spl150_1
| ~ spl150_9
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44380,f41078]) ).
fof(f44388,plain,
( ~ m1_group_2(sK6,sK6)
| spl150_1
| ~ spl150_8
| ~ spl150_9
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44385,f39845]) ).
fof(f44392,plain,
( $false
| spl150_1
| ~ spl150_8
| ~ spl150_9
| spl150_21 ),
inference(forward_subsumption_resolution,[],[f44388,f39625]) ).
fof(f44393,plain,
( spl150_1
| ~ spl150_8
| ~ spl150_9
| spl150_21 ),
inference(avatar_contradiction_clause,[],[f44392]) ).
fof(f44397,plain,
( v3_struct_0(sK6)
| ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| spl150_22 ),
inference(resolution,[],[f44342,f37526]) ).
fof(f44403,plain,
( ~ v3_group_1(sK6)
| ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| spl150_1
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44397,f38342]) ).
fof(f44406,plain,
( ~ v4_group_1(sK6)
| ~ l1_group_1(sK6)
| ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| spl150_1
| ~ spl150_12
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44403,f43344]) ).
fof(f44408,plain,
( ~ l1_group_1(sK6)
| ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| spl150_1
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44406,f43349]) ).
fof(f44410,plain,
( ~ m1_group_2(sK7,sK6)
| ~ m1_group_2(sK8,sK6)
| spl150_1
| ~ spl150_5
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44408,f39830]) ).
fof(f44411,plain,
( ~ m1_group_2(sK8,sK6)
| spl150_1
| ~ spl150_5
| ~ spl150_9
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44410,f41078]) ).
fof(f44412,plain,
( $false
| spl150_1
| ~ spl150_5
| ~ spl150_8
| ~ spl150_9
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(forward_subsumption_resolution,[],[f44411,f39845]) ).
fof(f44413,plain,
( spl150_1
| ~ spl150_5
| ~ spl150_8
| ~ spl150_9
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(avatar_contradiction_clause,[],[f44412]) ).
cnf(s1,plain,
~ spl150_1,
inference(sat_conversion,[],[f38343]) ).
cnf(s2,plain,
~ spl150_2,
inference(sat_conversion,[],[f39715]) ).
cnf(s3,plain,
( spl150_1
| spl150_2
| ~ spl150_3 ),
inference(sat_conversion,[],[f39785]) ).
cnf(s5,plain,
spl150_5,
inference(sat_conversion,[],[f39831]) ).
cnf(s8,plain,
spl150_8,
inference(sat_conversion,[],[f39846]) ).
cnf(s9,plain,
spl150_9,
inference(sat_conversion,[],[f41079]) ).
cnf(s12,plain,
spl150_12,
inference(sat_conversion,[],[f43345]) ).
cnf(s13,plain,
spl150_13,
inference(sat_conversion,[],[f43350]) ).
cnf(s21,plain,
( spl150_1
| spl150_3
| ~ spl150_21
| ~ spl150_22 ),
inference(sat_conversion,[],[f44343]) ).
cnf(s23,plain,
( spl150_1
| ~ spl150_8
| ~ spl150_9
| spl150_21 ),
inference(sat_conversion,[],[f44393]) ).
cnf(s24,plain,
( spl150_1
| ~ spl150_5
| ~ spl150_8
| ~ spl150_9
| ~ spl150_12
| ~ spl150_13
| spl150_22 ),
inference(sat_conversion,[],[f44413]) ).
cnf(s27,plain,
spl150_22,
inference(rat,[],[s24,s5,s13,s12,s9,s8,s1]) ).
cnf(s28,plain,
spl150_21,
inference(rat,[],[s23,s8,s9,s1]) ).
cnf(s29,plain,
spl150_3,
inference(rat,[],[s21,s27,s28,s1]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s3,s2,s29,s1]) ).
fof(f44414,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP645+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:25:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 7.68/4.51 % (592106)Detected formulas, will run a generic FOF schedule.
% 7.68/4.51 % (592113)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=2943649965:i=141695:sd=1:nm=32:gsp=on:ss=included_2976 on theBenchmark for (2976ds/141695Mi)
% 7.68/4.51 % (592111)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=4091638125:i=141193_2976 on theBenchmark for (2976ds/141193Mi)
% 7.68/4.51 % (592112)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=3287028420:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2976 on theBenchmark for (2976ds/134677Mi)
% 7.68/4.51 % (592117)dis-21_1_sil=8000:lcm=predicate:random_seed=2463155908:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2976 on theBenchmark for (2976ds/129Mi)
% 7.68/4.51 % (592115)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3903530239:i=119:av=off:ss=axioms_2976 on theBenchmark for (2976ds/119Mi)
% 7.68/4.51 % (592114)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=48829282:i=109:sd=1:ins=1:gsp=on:ss=axioms_2976 on theBenchmark for (2976ds/109Mi)
% 7.68/4.51 % (592116)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3268806009:s2a=on:i=139:gtg=position_2976 on theBenchmark for (2976ds/139Mi)
% 7.68/4.51 % (592116)Instruction limit reached!
% 7.68/4.51 % (592116)------------------------------
% 7.68/4.51 % (592116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592116)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592116)Termination reason: Instruction limit
% 7.68/4.51 % (592116)Termination phase: Property scanning
% 7.68/4.51 % (592116)Time elapsed: 0.063 s
% 7.68/4.51 % (592116)Peak memory usage: 139 MB
% 7.68/4.51 % (592116)Instructions burned: 140 (million)
% 7.68/4.51 % (592114)Instruction limit reached!
% 7.68/4.51 % (592114)------------------------------
% 7.68/4.51 % (592114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592114)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592114)Termination reason: Instruction limit
% 7.68/4.51 % (592114)Termination phase: SInE selection
% 7.68/4.51 % (592114)Time elapsed: 0.084 s
% 7.68/4.51 % (592114)Peak memory usage: 139 MB
% 7.68/4.51 % (592114)Instructions burned: 110 (million)
% 7.68/4.51 % (592115)Instruction limit reached!
% 7.68/4.51 % (592115)------------------------------
% 7.68/4.51 % (592115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592115)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592115)Termination reason: Instruction limit
% 7.68/4.51 % (592115)Termination phase: SInE selection
% 7.68/4.51 % (592115)Time elapsed: 0.090 s
% 7.68/4.51 % (592115)Peak memory usage: 138 MB
% 7.68/4.51 % (592115)Instructions burned: 120 (million)
% 7.68/4.51 % (592117)Instruction limit reached!
% 7.68/4.51 % (592117)------------------------------
% 7.68/4.51 % (592117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592117)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592117)Termination reason: Instruction limit
% 7.68/4.51 % (592117)Termination phase: SInE selection
% 7.68/4.51 % (592117)Time elapsed: 0.094 s
% 7.68/4.51 % (592117)Peak memory usage: 139 MB
% 7.68/4.51 % (592117)Instructions burned: 129 (million)
% 7.68/4.51 % (592125)lrs+10_1_sil=8000:sp=occurrence:random_seed=1589944842:i=285:sd=3:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/285Mi)
% 7.68/4.51 % (592126)lrs+10_1_sil=32000:urr=on:br=off:random_seed=46540153:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/157Mi)
% 7.68/4.51 % (592128)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=1259784955:s2a=on:i=248:s2at=1.23:gtg=position_2973 on theBenchmark for (2973ds/248Mi)
% 7.68/4.51 % (592127)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3179101002:i=325:sd=1:ss=axioms:sgt=32_2973 on theBenchmark for (2973ds/325Mi)
% 7.68/4.51 % (592126)Instruction limit reached!
% 7.68/4.51 % (592126)------------------------------
% 7.68/4.51 % (592126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592126)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592126)Termination reason: Instruction limit
% 7.68/4.51 % (592126)Termination phase: Property scanning
% 7.68/4.51 % (592126)Time elapsed: 0.069 s
% 7.68/4.51 % (592126)Peak memory usage: 139 MB
% 7.68/4.51 % (592126)Instructions burned: 157 (million)
% 7.68/4.51 % (592128)Instruction limit reached!
% 7.68/4.51 % (592128)------------------------------
% 7.68/4.51 % (592128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592128)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592128)Termination reason: Instruction limit
% 7.68/4.51 % (592128)Termination phase: Property scanning
% 7.68/4.51 % (592128)Time elapsed: 0.106 s
% 7.68/4.51 % (592128)Peak memory usage: 139 MB
% 7.68/4.51 % (592128)Instructions burned: 248 (million)
% 7.68/4.51 % (592125)Instruction limit reached!
% 7.68/4.51 % (592125)------------------------------
% 7.68/4.51 % (592125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592125)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592125)Termination reason: Instruction limit
% 7.68/4.51 % (592125)Termination phase: Property scanning
% 7.68/4.51 % (592125)Time elapsed: 0.226 s
% 7.68/4.51 % (592125)Peak memory usage: 142 MB
% 7.68/4.51 % (592125)Instructions burned: 285 (million)
% 7.68/4.51 % (592133)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=253802638:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2971 on theBenchmark for (2971ds/294Mi)
% 7.68/4.51 % (592127)Instruction limit reached!
% 7.68/4.51 % (592127)------------------------------
% 7.68/4.51 % (592127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592127)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592127)Termination reason: Instruction limit
% 7.68/4.51 % (592127)Termination phase: Saturation
% 7.68/4.51 % (592127)Time elapsed: 0.252 s
% 7.68/4.51 % (592127)Peak memory usage: 145 MB
% 7.68/4.51 % (592127)Instructions burned: 325 (million)
% 7.68/4.51 % (592134)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=381788385:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 7.68/4.51 % (592135)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=370958157:cts=off:i=113:fsr=off:ss=included:sgt=4_2970 on theBenchmark for (2970ds/113Mi)
% 7.68/4.51 % (592133)Instruction limit reached!
% 7.68/4.51 % (592133)------------------------------
% 7.68/4.51 % (592133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592133)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592133)Termination reason: Instruction limit
% 7.68/4.51 % (592133)Termination phase: SInE selection
% 7.68/4.51 % (592133)Time elapsed: 0.182 s
% 7.68/4.51 % (592133)Peak memory usage: 140 MB
% 7.68/4.51 % (592133)Instructions burned: 295 (million)
% 7.68/4.51 % (592137)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3585378337:i=127:av=off:fsr=off:sup=off_2969 on theBenchmark for (2969ds/127Mi)
% 7.68/4.51 % (592135)Instruction limit reached!
% 7.68/4.51 % (592135)------------------------------
% 7.68/4.51 % (592135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592135)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592135)Termination reason: Instruction limit
% 7.68/4.51 % (592135)Termination phase: SInE selection
% 7.68/4.51 % (592135)Time elapsed: 0.088 s
% 7.68/4.51 % (592135)Peak memory usage: 139 MB
% 7.68/4.51 % (592135)Instructions burned: 113 (million)
% 7.68/4.51 % (592137)Instruction limit reached!
% 7.68/4.51 % (592137)------------------------------
% 7.68/4.51 % (592137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592137)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592137)Termination reason: Instruction limit
% 7.68/4.51 % (592137)Termination phase: Preprocessing 1
% 7.68/4.51 % (592137)Time elapsed: 0.096 s
% 7.68/4.51 % (592137)Peak memory usage: 140 MB
% 7.68/4.51 % (592137)Instructions burned: 127 (million)
% 7.68/4.51 % (592141)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=699458040:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2968 on theBenchmark for (2968ds/114Mi)
% 7.68/4.51 % (592142)lrs+10_1_sil=8000:sp=occurrence:random_seed=121053507:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2967 on theBenchmark for (2967ds/907Mi)
% 7.68/4.51 % (592141)Instruction limit reached!
% 7.68/4.51 % (592141)------------------------------
% 7.68/4.51 % (592141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/4.51 % (592141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/4.51 % (592141)CaDiCaL version: 2.1.3
% 7.68/4.51 % (592141)Termination reason: Instruction limit
% 7.68/4.51 % (592141)Termination phase: Property scanning
% 7.68/4.51 % (592141)Time elapsed: 0.052 s
% 7.68/4.51 % (592141)Peak memory usage: 139 MB
% 7.68/4.51 % (592141)Instructions burned: 116 (million)
% 7.68/4.51 % (592143)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4151316847:i=437:sd=1:aac=none:ss=included_2966 on theBenchmark for (2966ds/437Mi)
% 7.68/4.51 % (592113)First to succeed.
% 7.68/4.51 % (592113)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-592106"
% 7.68/4.51 % (592146)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2127648434:i=5202:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/5202Mi)
% 7.68/4.51 % (592113)Refutation found. Thanks to Tanya!
% 7.68/4.51 % SZS status Theorem for theBenchmark
% 7.68/4.51 % SZS output start Proof for theBenchmark
% See solution above
% 12.22/4.75 % (592113)------------------------------
% 12.22/4.75 % (592113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/4.75 % (592113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/4.75 % (592113)CaDiCaL version: 2.1.3
% 12.22/4.75 % (592113)Termination reason: Refutation
% 12.22/4.75 % (592113)Time elapsed: 0.992 s
% 12.22/4.75 % (592113)Peak memory usage: 209 MB
% 12.22/4.75 % (592113)Instructions burned: 2754 (million)
% 12.22/4.75 % (592113)------------------------------
% 12.22/4.75 % (592113)------------------------------
% 12.22/4.75 % (592106)Success in time 3.659 s
% 12.22/4.75 % Vampire exiting
%------------------------------------------------------------------------------