%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 : Fri Sep 25 01:35:03 PM UTC 2026
% Result : Theorem 3.42s 1.26s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 107 ( 38 unt; 1 def)
% Number of atoms : 737 ( 10 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 975 ( 357 ~; 374 |; 210 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn 120 !; 6 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f10,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f25,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m4_vectsp_8(X2,X0,X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(f40,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_4) ).
fof(f57,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(f60,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
=> m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(f61,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(f70,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f71,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f77]) ).
fof(f83,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v2_funct_1(X2)
& ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f84,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v2_funct_1(X2)
& ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(flattening,[],[f83]) ).
fof(f96,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f97,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( l3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(flattening,[],[f96]) ).
fof(f109,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m4_vectsp_8(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f110,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m4_vectsp_8(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f109]) ).
fof(f119,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(ennf_transformation,[],[f78]) ).
fof(f120,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v10_lattices(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& ~ v3_struct_0(k11_group_4(X0)) ) ),
inference(flattening,[],[f119]) ).
fof(f130,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f131,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( m1_lattice4(X2,X0,X1)
<=> ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f130]) ).
fof(f135,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f136,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f138,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
inference(flattening,[],[f137]) ).
fof(f146,plain,
( l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_group_6(sK2,sK0,sK1)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2)
& v2_funct_1(sK2)
& ~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f84]) ).
fof(f168,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ m1_lattice4(X2,X0,X1)
| ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) )
& ( ~ m3_vectsp_8(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f169,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ m1_lattice4(X2,X0,X1)
| ( m3_vectsp_8(X2,X0,X1)
& m4_vectsp_8(X2,X0,X1) ) )
& ( ~ m3_vectsp_8(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f171,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f172,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f174,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f175,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f176,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f177,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f178,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f179,plain,
v1_group_6(sK2,sK0,sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f180,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f181,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f182,plain,
v2_funct_1(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f183,plain,
~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f197,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l3_lattices(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f236,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v10_lattices(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f238,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m3_vectsp_8(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_49,negated_conjecture,
~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(cnf_transformation,[],[f183]) ).
tcf(c_50,negated_conjecture,
v2_funct_1(sK2),
inference(cnf_transformation,[],[f182]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f181]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f180]) ).
tcf(c_53,negated_conjecture,
v1_group_6(sK2,sK0,sK1),
inference(cnf_transformation,[],[f179]) ).
tcf(c_54,negated_conjecture,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f178]) ).
tcf(c_55,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f177]) ).
tcf(c_56,negated_conjecture,
v3_group_1(sK1),
inference(cnf_transformation,[],[f176]) ).
tcf(c_57,negated_conjecture,
v4_group_1(sK1),
inference(cnf_transformation,[],[f175]) ).
tcf(c_58,negated_conjecture,
l1_group_1(sK1),
inference(cnf_transformation,[],[f174]) ).
tcf(c_59,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f173]) ).
tcf(c_60,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f172]) ).
tcf(c_61,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f171]) ).
tcf(c_62,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f170]) ).
tcf(c_74,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X0,X1,X2) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X0,X1,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X0,X1,X2) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_110,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_112,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k11_group_4(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v1_funct_1(X0)
| ~ m4_vectsp_8(X0,X1,X2)
| ~ m3_vectsp_8(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m3_vectsp_8(k3_latsubgr(X1,X2,X0),k11_group_4(X1),k11_group_4(X2))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m4_vectsp_8(k3_latsubgr(X1,X2,X0),k11_group_4(X1),k11_group_4(X2))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_193,plain,
( v3_struct_0(sK0)
| v10_lattices(k11_group_4(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_195,plain,
( v3_struct_0(sK0)
| l3_lattices(k11_group_4(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_196,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k11_group_4(sK0)) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m3_vectsp_8(X0,X1,X2)
| ~ m4_vectsp_8(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_90,c_92,c_91,c_141]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X0,X1,X2)
| ~ m3_vectsp_8(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_231]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_147]) ).
tcf(c_2058,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK1)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK0)
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2057]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_146]) ).
tcf(c_2065,plain,
( v3_struct_0(sK1)
| v3_struct_0(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l1_group_1(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK1)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK1)
| ~ v3_group_1(sK0)
| ~ v1_funct_1(sK2)
| ~ v2_funct_1(sK2)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(unflattening,[status(thm)],[c_2064]) ).
tcf(c_2066,plain,
m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2065,c_62,c_61,c_60,c_58,c_57,c_56,c_51,c_50,c_59,c_55,c_54,c_52,c_2065]) ).
tcf(c_2593,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m4_vectsp_8(X0,X1,X2)
| ( k11_group_4(sK1) != X2 )
| ( k11_group_4(sK0) != X1 )
| ( k3_latsubgr(sK0,sK1,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_232,c_2066]) ).
tcf(c_2594,plain,
( v3_struct_0(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(unflattening,[status(thm)],[c_2593]) ).
tcf(c_2595,plain,
( v3_struct_0(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_2594,c_62,c_61,c_60,c_58,c_57,c_56,c_51,c_59,c_55,c_54,c_52,c_49,c_193,c_195,c_196,c_2058,c_2594]) ).
tcf(c_4146,definition,
iPr_def_10 = k11_group_4(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4149,plain,
( v3_struct_0(iPr_def_10)
| ~ v10_lattices(iPr_def_10)
| ~ l3_lattices(iPr_def_10) ),
inference(demodulation,[status(thm)],[c_2595,c_4146]) ).
tcf(c_4155,negated_conjecture,
l1_group_1(sK1),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_4156,negated_conjecture,
v4_group_1(sK1),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_4157,negated_conjecture,
v3_group_1(sK1),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_4158,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_6070,plain,
( l3_lattices(iPr_def_10)
| v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1) ),
inference(superposition,[status(thm)],[c_4146,c_74]) ).
tcf(c_6072,plain,
l3_lattices(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6070,c_4158,c_4155,c_4156,c_4157]) ).
tcf(c_6078,plain,
( v3_struct_0(iPr_def_10)
| ~ v10_lattices(iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4149,c_6072]) ).
tcf(c_6104,plain,
( v10_lattices(iPr_def_10)
| v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1) ),
inference(superposition,[status(thm)],[c_4146,c_112]) ).
tcf(c_6105,plain,
v10_lattices(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6104,c_4158,c_4155,c_4156,c_4157]) ).
tcf(c_6107,plain,
v3_struct_0(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_6078,c_4149,c_6072,c_6105]) ).
tcf(c_6171,plain,
( v3_struct_0(sK1)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v3_struct_0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_4146,c_110]) ).
tcf(c_6172,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6171,c_4158,c_4155,c_4156,c_4157,c_6107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 15:33:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.42/1.26 % SZS status Started for theBenchmark.p
% 3.42/1.26 % SZS status Theorem for theBenchmark.p
% 3.42/1.26
% 3.42/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.42/1.26
% 3.42/1.26 % ------ iProver source info
% 3.42/1.26
% 3.42/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.42/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.42/1.26 % git: non_committed_changes: false
% 3.42/1.26
% 3.42/1.26 % ------ Parsing...
% 3.42/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.42/1.26
% 3.42/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e %
% 3.42/1.26
% 3.42/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.42/1.26
% 3.42/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.42/1.26 % ------ Proving...
% 3.42/1.26 % ------ Problem Properties
% 3.42/1.26
% 3.42/1.26 %
% 3.42/1.26 % clauses 91
% 3.42/1.26 % conjectures 10
% 3.42/1.26 % EPR 33
% 3.42/1.26 % Horn 71
% 3.42/1.26 % unary 44
% 3.42/1.26 % binary 15
% 3.42/1.26 % lits 267
% 3.42/1.26 % lits eq 12
% 3.42/1.26 % fd_pure 0
% 3.42/1.26 % fd_pseudo 0
% 3.42/1.26 % fd_cond 1
% 3.42/1.26 % fd_pseudo_cond 4
% 3.42/1.26 % AC symbols 0
% 3.42/1.26
% 3.42/1.26 % ------ Schedule dynamic 5 is on
% 3.42/1.26
% 3.42/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.42/1.26
% 3.42/1.26
% 3.42/1.26 % ------
% 3.42/1.26 % Current options:
% 3.42/1.26 % ------
% 3.42/1.26
% 3.42/1.26
% 3.42/1.26 %
% 3.42/1.26
% 3.42/1.26 % ------ Proving...
% 3.42/1.26 %
% 3.42/1.26
% 3.42/1.26 % SZS status Theorem for theBenchmark.p
% 3.42/1.26
% 3.42/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.27
% 3.42/1.27
%------------------------------------------------------------------------------