%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP628+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:15:06 AM UTC 2026
% Result : Theorem 13.82s 3.35s
% Output : Refutation 14.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 143 ( 22 unt; 4 def)
% Number of atoms : 703 ( 75 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 963 ( 403 ~; 435 |; 85 &)
% ( 10 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 5 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 158 ( 0 sgn 152 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2937,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f8753,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f8759,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X3 = X1
=> k3_group_1(X2,X3) = k3_group_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_group_2) ).
fof(f12869,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f12870,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f12871,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f12889,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_autgroup) ).
fof(f12892,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f12898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& v1_group_3(X1,k3_autgroup(X0))
& m1_group_2(X1,k3_autgroup(X0)) )
=> ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_autgroup) ).
fof(f12902,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_autgroup) ).
fof(f12903,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f12902]) ).
fof(f12947,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12869]) ).
fof(f12948,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12947]) ).
fof(f12949,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12870]) ).
fof(f12950,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12949]) ).
fof(f12951,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12871]) ).
fof(f12952,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12951]) ).
fof(f12985,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12889]) ).
fof(f12986,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12985]) ).
fof(f12991,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12892]) ).
fof(f12992,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12991]) ).
fof(f13003,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12898]) ).
fof(f13004,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13003]) ).
fof(f13009,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f12903]) ).
fof(f13010,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f13009]) ).
fof(f13012,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2937]) ).
fof(f13013,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f13012]) ).
fof(f13054,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8753]) ).
fof(f13055,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13054]) ).
fof(f13425,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X2,X3) = k3_group_1(X0,X1)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8759]) ).
fof(f13426,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X2,X3) = k3_group_1(X0,X1)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13425]) ).
fof(f14454,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f14463,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f14464,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14463]) ).
fof(f16168,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_autgroup(X0)
| u1_struct_0(X1) != k4_autgroup(X0) )
& ( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f13004]) ).
fof(f16169,plain,
( k2_funct_1(sK32) != k3_group_1(k5_autgroup(sK31),sK33)
& sK32 = sK33
& m1_subset_1(sK33,u1_struct_0(k5_autgroup(sK31)))
& m2_fraenkel(sK32,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
& ~ v3_struct_0(sK31)
& v1_group_1(sK31)
& v3_group_1(sK31)
& v4_group_1(sK31)
& l1_group_1(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33)],[f13010]) ).
fof(f16170,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f13013]) ).
fof(f17134,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12948]) ).
fof(f17135,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12948]) ).
fof(f17136,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12948]) ).
fof(f17138,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12948]) ).
fof(f17139,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12950]) ).
fof(f17140,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12952]) ).
fof(f17141,plain,
! [X0] :
( v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12952]) ).
fof(f17142,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12952]) ).
fof(f17197,plain,
! [X2,X0,X1] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12986]) ).
fof(f17208,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12992]) ).
fof(f17214,plain,
! [X0,X1] :
( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16168]) ).
fof(f17218,plain,
l1_group_1(sK31),
inference(cnf_transformation,[],[f16169]) ).
fof(f17219,plain,
v4_group_1(sK31),
inference(cnf_transformation,[],[f16169]) ).
fof(f17220,plain,
v3_group_1(sK31),
inference(cnf_transformation,[],[f16169]) ).
fof(f17221,plain,
v1_group_1(sK31),
inference(cnf_transformation,[],[f16169]) ).
fof(f17222,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f16169]) ).
fof(f17223,plain,
m2_fraenkel(sK32,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)),
inference(cnf_transformation,[],[f16169]) ).
fof(f17224,plain,
m1_subset_1(sK33,u1_struct_0(k5_autgroup(sK31))),
inference(cnf_transformation,[],[f16169]) ).
fof(f17225,plain,
sK32 = sK33,
inference(cnf_transformation,[],[f16169]) ).
fof(f17226,plain,
k2_funct_1(sK32) != k3_group_1(k5_autgroup(sK31),sK33),
inference(cnf_transformation,[],[f16169]) ).
fof(f17228,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f16170]) ).
fof(f17283,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13055]) ).
fof(f17795,plain,
! [X2,X3,X0,X1] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13426]) ).
fof(f19164,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14454]) ).
fof(f19175,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14464]) ).
fof(f21329,plain,
k3_group_1(k5_autgroup(sK31),sK33) != k2_funct_1(sK33),
inference(definition_unfolding,[],[f17226,f17225]) ).
fof(f21330,plain,
m2_fraenkel(sK33,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)),
inference(definition_unfolding,[],[f17223,f17225]) ).
fof(f22396,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X0),X2)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17197]) ).
fof(f22401,plain,
! [X0] :
( ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17214]) ).
fof(f22464,plain,
! [X2,X3,X0] :
( ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k3_group_1(X2,X3) = k3_group_1(X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17795]) ).
fof(f23206,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| v3_struct_0(k3_autgroup(X0))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(resolution,[],[f17140,f22464]) ).
fof(f23207,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f17141,f22401]) ).
fof(f23208,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ),
inference(duplicate_literal_removal,[],[f23207]) ).
fof(f23215,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f17208,f17219]) ).
fof(f23216,plain,
( v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f17139,f17219]) ).
fof(f23219,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(X1)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v3_struct_0(k3_autgroup(X1))
| ~ v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17283,f17140]) ).
fof(f23244,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23215,f17222]) ).
fof(f23245,plain,
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23216,f17222]) ).
fof(f23257,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23244,f17221]) ).
fof(f23258,plain,
( ~ v3_group_1(sK31)
| m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23245,f17221]) ).
fof(f23270,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23257,f17220]) ).
fof(f23271,plain,
( m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23258,f17220]) ).
fof(f23280,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31)) ),
inference(forward_subsumption_resolution,[],[f23270,f17218]) ).
fof(f23281,plain,
m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)),
inference(forward_subsumption_resolution,[],[f23271,f17218]) ).
fof(f23297,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| m1_subset_1(X0,k4_autgroup(sK31)) ),
inference(resolution,[],[f23281,f17228]) ).
fof(f23301,definition,
( spl618_24
<=> v1_xboole_0(u1_struct_0(sK31)) ),
introduced(definition,[new_symbols(definition,[spl618_24])],[avatar_definition]) ).
fof(f23302,plain,
( v1_xboole_0(u1_struct_0(sK31))
| ~ spl618_24 ),
inference(avatar_component_clause,[],[f23301]) ).
fof(f23312,definition,
( spl618_27
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m1_subset_1(X0,k4_autgroup(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl618_27])],[avatar_definition]) ).
fof(f23313,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m1_subset_1(X0,k4_autgroup(sK31)) )
| ~ spl618_27 ),
inference(avatar_component_clause,[],[f23312]) ).
fof(f23314,plain,
( spl618_24
| spl618_27 ),
inference(avatar_split_clause,[],[f23297,f23312,f23301]) ).
fof(f23323,plain,
( v3_struct_0(sK31)
| ~ l1_struct_0(sK31)
| ~ spl618_24 ),
inference(resolution,[],[f23302,f19175]) ).
fof(f23325,plain,
( ~ l1_struct_0(sK31)
| ~ spl618_24 ),
inference(forward_subsumption_resolution,[],[f23323,f17222]) ).
fof(f23327,plain,
( ~ l1_group_1(sK31)
| ~ spl618_24 ),
inference(resolution,[],[f23325,f19164]) ).
fof(f23329,plain,
( $false
| ~ spl618_24 ),
inference(forward_subsumption_resolution,[],[f23327,f17218]) ).
fof(f23330,plain,
~ spl618_24,
inference(avatar_contradiction_clause,[],[f23329]) ).
fof(f23479,plain,
m2_fraenkel(sK33,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31)),
inference(resolution,[],[f23280,f21330]) ).
fof(f23490,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f23479,f22396]) ).
fof(f23545,plain,
( m1_subset_1(sK33,k4_autgroup(sK31))
| ~ spl618_27 ),
inference(resolution,[],[f23313,f21330]) ).
fof(f23621,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(X1)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| ~ v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f23219,f17138]) ).
fof(f23638,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ v3_group_1(k3_autgroup(X0))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23206,f17138]) ).
fof(f23639,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23208,f17142]) ).
fof(f23647,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23490,f17222]) ).
fof(f23671,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(X1)))
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f23621,f17136]) ).
fof(f23690,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ v4_group_1(k3_autgroup(X0))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23638,f17136]) ).
fof(f23691,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23639,f17140]) ).
fof(f23698,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23647,f17221]) ).
fof(f23728,plain,
! [X0,X1] :
( ~ v3_group_1(X1)
| m1_subset_1(X0,u1_struct_0(k3_autgroup(X1)))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(X1)))
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f23671,f17134]) ).
fof(f23739,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23690,f17135]) ).
fof(f23746,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23698,f17220]) ).
fof(f23780,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1)
| ~ l1_group_1(k3_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23739,f23728]) ).
fof(f23787,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23746,f17219]) ).
fof(f23824,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| k3_group_1(k5_autgroup(X0),X1) = k3_group_1(k3_autgroup(X0),X1) ),
inference(forward_subsumption_resolution,[],[f23780,f17134]) ).
fof(f23831,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33) ),
inference(forward_subsumption_resolution,[],[f23787,f17218]) ).
fof(f23872,definition,
( spl618_83
<=> k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33) ),
introduced(definition,[new_symbols(definition,[spl618_83])],[avatar_definition]) ).
fof(f23873,plain,
( k2_funct_1(sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ spl618_83 ),
inference(avatar_component_clause,[],[f23872]) ).
fof(f23875,definition,
( spl618_84
<=> m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31))) ),
introduced(definition,[new_symbols(definition,[spl618_84])],[avatar_definition]) ).
fof(f23876,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK31)))
| spl618_84 ),
inference(avatar_component_clause,[],[f23875]) ).
fof(f23877,plain,
( spl618_83
| ~ spl618_84 ),
inference(avatar_split_clause,[],[f23831,f23875,f23872]) ).
fof(f23882,plain,
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| u1_struct_0(k5_autgroup(sK31)) = k4_autgroup(sK31) ),
inference(resolution,[],[f23691,f17219]) ).
fof(f23888,plain,
( ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| u1_struct_0(k5_autgroup(sK31)) = k4_autgroup(sK31) ),
inference(forward_subsumption_resolution,[],[f23882,f17221]) ).
fof(f23889,plain,
( v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| u1_struct_0(k5_autgroup(sK31)) = k4_autgroup(sK31) ),
inference(forward_subsumption_resolution,[],[f23888,f17220]) ).
fof(f23890,plain,
( ~ l1_group_1(sK31)
| u1_struct_0(k5_autgroup(sK31)) = k4_autgroup(sK31) ),
inference(forward_subsumption_resolution,[],[f23889,f17222]) ).
fof(f23891,plain,
u1_struct_0(k5_autgroup(sK31)) = k4_autgroup(sK31),
inference(forward_subsumption_resolution,[],[f23890,f17218]) ).
fof(f24031,plain,
! [X0] :
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK31)))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(resolution,[],[f23824,f17219]) ).
fof(f24034,plain,
! [X0] :
( ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK31)))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(forward_subsumption_resolution,[],[f24031,f17221]) ).
fof(f24039,plain,
! [X0] :
( v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK31)))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(forward_subsumption_resolution,[],[f24034,f17220]) ).
fof(f24040,plain,
! [X0] :
( ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK31)))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(forward_subsumption_resolution,[],[f24039,f17222]) ).
fof(f24041,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK31)))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(forward_subsumption_resolution,[],[f24040,f17218]) ).
fof(f24042,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK31))
| k3_group_1(k3_autgroup(sK31),X0) = k3_group_1(k5_autgroup(sK31),X0) ),
inference(forward_demodulation,[],[f24041,f23891]) ).
fof(f24043,plain,
( k3_group_1(k5_autgroup(sK31),sK33) = k3_group_1(k3_autgroup(sK31),sK33)
| ~ spl618_27 ),
inference(resolution,[],[f24042,f23545]) ).
fof(f24044,plain,
( k2_funct_1(sK33) != k3_group_1(k3_autgroup(sK31),sK33)
| ~ spl618_27 ),
inference(superposition,[],[f21329,f24043]) ).
fof(f24602,plain,
( $false
| spl618_84 ),
inference(unit_resulting_resolution,[],[f23728,f17218,f17219,f17220,f17221,f17222,f17224,f23876]) ).
fof(f24605,plain,
spl618_84,
inference(avatar_contradiction_clause,[],[f24602]) ).
fof(f24615,plain,
( $false
| ~ spl618_27
| ~ spl618_83 ),
inference(forward_subsumption_resolution,[],[f23873,f24044]) ).
fof(f24616,plain,
( ~ spl618_27
| ~ spl618_83 ),
inference(avatar_contradiction_clause,[],[f24615]) ).
cnf(s21,plain,
( spl618_24
| spl618_27 ),
inference(sat_conversion,[],[f23314]) ).
cnf(s25,plain,
~ spl618_24,
inference(sat_conversion,[],[f23330]) ).
cnf(s80,plain,
( spl618_83
| ~ spl618_84 ),
inference(sat_conversion,[],[f23877]) ).
cnf(s156,plain,
spl618_84,
inference(sat_conversion,[],[f24605]) ).
cnf(s157,plain,
( ~ spl618_27
| ~ spl618_83 ),
inference(sat_conversion,[],[f24616]) ).
cnf(s163,plain,
spl618_83,
inference(rat,[],[s80,s156]) ).
cnf(s164,plain,
~ spl618_27,
inference(rat,[],[s157,s163]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s21,s164,s25]) ).
fof(f24617,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP628+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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 10:10:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.20/3.28 % (582063)Detected formulas, will run a generic FOF schedule.
% 13.20/3.28 % (582071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3989860984:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.20/3.28 % (582068)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=381325856:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.20/3.28 % (582072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3365699574:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.20/3.28 % (582073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1586804459:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.20/3.28 % (582069)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=1815937117:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.20/3.28 % (582070)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=2114623896:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.20/3.29 % (582074)dis-21_1_sil=8000:lcm=predicate:random_seed=3457536397:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.20/3.29 % (582071)Instruction limit reached!
% 13.20/3.29 % (582071)------------------------------
% 13.20/3.29 % (582071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.20/3.29 % (582071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/3.29 % (582071)CaDiCaL version: 2.1.3
% 13.20/3.29 % (582071)Termination reason: Instruction limit
% 13.20/3.29 % (582071)Termination phase: Saturation
% 13.20/3.29 % (582071)Time elapsed: 0.048 s
% 13.20/3.29 % (582071)Peak memory usage: 106 MB
% 13.20/3.29 % (582071)Instructions burned: 110 (million)
% 13.20/3.29 % (582073)Instruction limit reached!
% 13.20/3.29 % (582073)------------------------------
% 13.20/3.29 % (582073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.20/3.29 % (582073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/3.29 % (582073)CaDiCaL version: 2.1.3
% 13.20/3.29 % (582073)Termination reason: Instruction limit
% 13.20/3.29 % (582073)Termination phase: Property scanning
% 13.20/3.29 % (582073)Time elapsed: 0.058 s
% 13.20/3.29 % (582073)Peak memory usage: 101 MB
% 13.20/3.29 % (582073)Instructions burned: 139 (million)
% 13.20/3.29 % (582082)lrs+10_1_sil=8000:sp=occurrence:random_seed=2735567588:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 13.20/3.29 % (582072)Instruction limit reached!
% 13.20/3.29 % (582072)------------------------------
% 13.20/3.29 % (582072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.20/3.29 % (582072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/3.29 % (582072)CaDiCaL version: 2.1.3
% 13.20/3.29 % (582072)Termination reason: Instruction limit
% 13.20/3.29 % (582072)Termination phase: Preprocessing 3
% 13.20/3.29 % (582072)Time elapsed: 0.099 s
% 13.20/3.29 % (582072)Peak memory usage: 105 MB
% 13.20/3.29 % (582072)Instructions burned: 120 (million)
% 13.20/3.29 % (582074)Instruction limit reached!
% 13.20/3.29 % (582074)------------------------------
% 13.20/3.29 % (582074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.20/3.29 % (582074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/3.29 % (582074)CaDiCaL version: 2.1.3
% 13.20/3.29 % (582074)Termination reason: Instruction limit
% 13.20/3.29 % (582074)Termination phase: Preprocessing 1
% 13.20/3.29 % (582074)Time elapsed: 0.098 s
% 13.20/3.29 % (582074)Peak memory usage: 103 MB
% 13.20/3.29 % (582074)Instructions burned: 129 (million)
% 13.20/3.29 % (582083)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1616824856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 13.20/3.29 % (582082)Instruction limit reached!
% 13.20/3.29 % (582082)------------------------------
% 13.20/3.29 % (582082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.20/3.29 % (582082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/3.29 % (582082)CaDiCaL version: 2.1.3
% 13.20/3.29 % (582082)Termination reason: Instruction limit
% 13.20/3.29 % (582082)Termination phase: Saturation
% 13.82/3.35 % (582082)Time elapsed: 0.108 s
% 13.82/3.35 % (582082)Peak memory usage: 110 MB
% 13.82/3.35 % (582082)Instructions burned: 287 (million)
% 13.82/3.35 % (582086)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=3177916503:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 13.82/3.35 % (582085)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2041687670:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 13.82/3.35 % (582083)Instruction limit reached!
% 13.82/3.35 % (582083)------------------------------
% 13.82/3.35 % (582083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582083)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582083)Termination reason: Instruction limit
% 13.82/3.35 % (582083)Termination phase: Property scanning
% 13.82/3.35 % (582083)Time elapsed: 0.068 s
% 13.82/3.35 % (582083)Peak memory usage: 101 MB
% 13.82/3.35 % (582083)Instructions burned: 158 (million)
% 13.82/3.35 % (582088)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3289149934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 13.82/3.35 % (582086)Instruction limit reached!
% 13.82/3.35 % (582086)------------------------------
% 13.82/3.35 % (582086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582086)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582086)Termination reason: Instruction limit
% 13.82/3.35 % (582086)Termination phase: SInE selection
% 13.82/3.35 % (582086)Time elapsed: 0.129 s
% 13.82/3.35 % (582086)Peak memory usage: 102 MB
% 13.82/3.35 % (582086)Instructions burned: 249 (million)
% 13.82/3.35 % (582088)Instruction limit reached!
% 13.82/3.35 % (582088)------------------------------
% 13.82/3.35 % (582088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582088)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582088)Termination reason: Instruction limit
% 13.82/3.35 % (582088)Termination phase: Saturation
% 13.82/3.35 % (582088)Time elapsed: 0.103 s
% 13.82/3.35 % (582088)Peak memory usage: 109 MB
% 13.82/3.35 % (582088)Instructions burned: 296 (million)
% 13.82/3.35 % (582091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2101106078:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 13.82/3.35 % (582085)Instruction limit reached!
% 13.82/3.35 % (582085)------------------------------
% 13.82/3.35 % (582085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582085)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582085)Termination reason: Instruction limit
% 13.82/3.35 % (582085)Termination phase: Saturation
% 13.82/3.35 % (582085)Time elapsed: 0.230 s
% 13.82/3.35 % (582085)Peak memory usage: 108 MB
% 13.82/3.35 % (582085)Instructions burned: 326 (million)
% 13.82/3.35 % (582094)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1773950374:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 13.82/3.35 % (582093)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3843670433:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 13.82/3.35 % (582094)Instruction limit reached!
% 13.82/3.35 % (582094)------------------------------
% 13.82/3.35 % (582094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582094)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582094)Termination reason: Instruction limit
% 13.82/3.35 % (582094)Termination phase: Preprocessing 2
% 13.82/3.35 % (582094)Time elapsed: 0.060 s
% 13.82/3.35 % (582094)Peak memory usage: 107 MB
% 13.82/3.35 % (582094)Instructions burned: 128 (million)
% 13.82/3.35 % (582093)Instruction limit reached!
% 13.82/3.35 % (582093)------------------------------
% 13.82/3.35 % (582093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582093)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582093)Termination reason: Instruction limit
% 13.82/3.35 % (582093)Termination phase: Preprocessing 3
% 13.82/3.35 % (582093)Time elapsed: 0.098 s
% 13.82/3.35 % (582093)Peak memory usage: 105 MB
% 13.82/3.35 % (582093)Instructions burned: 114 (million)
% 13.82/3.35 % (582101)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1822505127:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 13.82/3.35 % (582104)lrs+10_1_sil=8000:sp=occurrence:random_seed=3267490861:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 13.82/3.35 % (582101)Instruction limit reached!
% 13.82/3.35 % (582101)------------------------------
% 13.82/3.35 % (582101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582101)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582101)Termination reason: Instruction limit
% 13.82/3.35 % (582101)Termination phase: Property scanning
% 13.82/3.35 % (582101)Time elapsed: 0.049 s
% 13.82/3.35 % (582101)Peak memory usage: 101 MB
% 13.82/3.35 % (582101)Instructions burned: 115 (million)
% 13.82/3.35 % (582106)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1220609494:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 13.82/3.35 % (582108)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1127507230:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 13.82/3.35 % (582104)Instruction limit reached!
% 13.82/3.35 % (582104)------------------------------
% 13.82/3.35 % (582104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582104)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582104)Termination reason: Instruction limit
% 13.82/3.35 % (582104)Termination phase: Saturation
% 13.82/3.35 % (582104)Time elapsed: 0.289 s
% 13.82/3.35 % (582104)Peak memory usage: 120 MB
% 13.82/3.35 % (582104)Instructions burned: 907 (million)
% 13.82/3.35 % (582106)Instruction limit reached!
% 13.82/3.35 % (582106)------------------------------
% 13.82/3.35 % (582106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582106)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582106)Termination reason: Instruction limit
% 13.82/3.35 % (582106)Termination phase: Saturation
% 13.82/3.35 % (582106)Time elapsed: 0.219 s
% 13.82/3.35 % (582106)Peak memory usage: 107 MB
% 13.82/3.35 % (582106)Instructions burned: 438 (million)
% 13.82/3.35 % (582111)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=548021341:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 13.82/3.35 % (582112)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4279670942:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 13.82/3.35 % (582111)Instruction limit reached!
% 13.82/3.35 % (582111)------------------------------
% 13.82/3.35 % (582111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582111)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582111)Termination reason: Instruction limit
% 13.82/3.35 % (582111)Termination phase: Property scanning
% 13.82/3.35 % (582111)Time elapsed: 0.100 s
% 13.82/3.35 % (582111)Peak memory usage: 105 MB
% 13.82/3.35 % (582111)Instructions burned: 136 (million)
% 13.82/3.35 % (582115)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=500903245:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 13.82/3.35 % (582112)Instruction limit reached!
% 13.82/3.35 % (582112)------------------------------
% 13.82/3.35 % (582112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.35 % (582112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.35 % (582112)CaDiCaL version: 2.1.3
% 13.82/3.35 % (582112)Termination reason: Instruction limit
% 13.82/3.35 % (582112)Termination phase: Property scanning
% 13.82/3.35 % (582112)Time elapsed: 0.408 s
% 13.82/3.35 % (582112)Peak memory usage: 124 MB
% 13.82/3.35 % (582112)Instructions burned: 592 (million)
% 13.82/3.35 % (582069)First to succeed.
% 13.82/3.35 % (582069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-582063"
% 13.82/3.35 % (582117)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=59539095:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 13.82/3.35 % (582069)Refutation found. Thanks to Tanya!
% 13.82/3.35 % SZS status Theorem for theBenchmark
% 13.82/3.35 % SZS output start Proof for theBenchmark
% See solution above
% 14.42/3.54 % (582069)------------------------------
% 14.42/3.54 % (582069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.54 % (582069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.54 % (582069)CaDiCaL version: 2.1.3
% 14.42/3.54 % (582069)Termination reason: Refutation
% 14.42/3.54 % (582069)Time elapsed: 1.532 s
% 14.42/3.54 % (582069)Peak memory usage: 214 MB
% 14.42/3.54 % (582069)Instructions burned: 3242 (million)
% 14.42/3.54 % (582069)------------------------------
% 14.42/3.54 % (582069)------------------------------
% 14.42/3.54 % (582063)Success in time 2.506 s
% 14.42/3.54 % Vampire exiting
%------------------------------------------------------------------------------