%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 01:34:56 PM UTC 2026
% Result : Theorem 112.42s 27.47s
% Output : CNFRefutation 112.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 194 ( 35 unt; 0 def)
% Number of atoms : 674 ( 118 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 829 ( 349 ~; 382 |; 76 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 361 ( 0 sgn 357 !; 4 ?; 184 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f24,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f25,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f47,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f50,axiom,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f71,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f72,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f75,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f76,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f85,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f86,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f87,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) ) ) ),
inference(flattening,[],[f86]) ).
fof(f89,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f90,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f92,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f94,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(ennf_transformation,[],[f69]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(flattening,[],[f95]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f101,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f102,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(ennf_transformation,[],[f70]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(flattening,[],[f109]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(flattening,[],[f124]) ).
fof(f151,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f152,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f154,plain,
( l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& ( k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f87]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( ( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2) )
& ( ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f178,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f179,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f180,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f181,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f182,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f183,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f154]) ).
fof(f184,plain,
( k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f189,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f190,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f193,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f96]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f208,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f209,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f210,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f211,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f108]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(cnf_transformation,[],[f110]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f298,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f300,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f310,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f85]) ).
fof(f312,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0)) ),
inference(definition_unfolding,[],[f189,f208]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f207,f208]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2 ),
inference(definition_unfolding,[],[f206,f208]) ).
fof(f315,plain,
! [X0] : v1_partfun1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f210,f208]) ).
fof(f316,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f209,f208]) ).
tcf(c_49,negated_conjecture,
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1) )
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f183]) ).
tcf(c_51,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f182]) ).
tcf(c_52,negated_conjecture,
v1_group_1(sK0),
inference(cnf_transformation,[],[f181]) ).
tcf(c_53,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f180]) ).
tcf(c_54,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f179]) ).
tcf(c_55,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f178]) ).
tcf(c_60,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_61,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X1,X1,X2,k6_relat_1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X2,X2,X2,X0,k6_relat_1(X2)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_79,plain,
! [X0: $i] : v1_partfun1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f315]) ).
tcf(c_80,plain,
! [X0: $i] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f316]) ).
tcf(c_81,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| m1_subset_1(X0,X3)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m2_fraenkel(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m2_fraenkel(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_funct_2(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m2_fraenkel(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| m2_relset_1(X0,X1,X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m2_fraenkel(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_relset_1(X1,X2,X4,X5,X0,X3) = k5_relat_1(X0,X3) )
| ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_partfun1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_154,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_156,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_164,plain,
! [X0: $i] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f310]) ).
tcf(c_187,plain,
( l1_struct_0(sK0)
| ~ l1_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_204,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ v1_xboole_0(u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_232,plain,
( v3_struct_0(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_236,plain,
( v3_struct_0(sK0)
| ( k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) )
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_65,c_260]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_relset_1(X4,X5,X1,X2,X3,X0) = k5_relat_1(X3,X0) )
| ~ m2_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_88,c_260]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_partfun1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_116,c_260]) ).
tcf(c_1490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,X3)
| ( X0 != X3 )
| ( X0 != X2 )
| ( k6_relat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_79,c_468]) ).
tcf(c_1491,plain,
! [X0: $i] :
( v1_funct_2(k6_relat_1(X0),X0,X0)
| ~ v1_funct_1(k6_relat_1(X0))
| ~ m2_relset_1(k6_relat_1(X0),X0,X0) ),
inference(unflattening,[status(thm)],[c_1490]) ).
tcf(c_1493,plain,
! [X0: $i] : v1_funct_2(k6_relat_1(X0),X0,X0),
inference(global_subsumption_just,[status(thm)],[c_1491,c_164,c_80,c_1491]) ).
tcf(c_1515,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_81]) ).
tcf(c_1516,plain,
( v3_struct_0(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(unflattening,[status(thm)],[c_1515]) ).
tcf(c_1517,plain,
m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1516,c_55,c_54,c_53,c_52,c_51,c_232]) ).
tcf(c_1522,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_60]) ).
tcf(c_1523,plain,
( v3_struct_0(sK0)
| ( k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) )
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v1_group_1(sK0) ),
inference(unflattening,[status(thm)],[c_1522]) ).
tcf(c_1524,plain,
k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1523,c_55,c_54,c_53,c_52,c_51,c_236]) ).
tcf(c_1529,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_64]) ).
tcf(c_1530,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v1_group_1(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_1529]) ).
tcf(c_1532,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1530,c_55,c_54,c_52,c_51,c_1530]) ).
tcf(c_1533,plain,
! [X0: $i] :
( m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_1532]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0)
| ( k4_autgroup(sK0) != X0 )
| ( u1_struct_0(sK0) != X2 )
| ( u1_struct_0(sK0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_1517]) ).
tcf(c_1775,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_1774]) ).
tcf(c_1777,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,k4_autgroup(sK0))
| m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1775,c_55,c_51,c_187,c_204,c_1775]) ).
tcf(c_1778,plain,
! [X0: $i] :
( m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_1777]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ( k4_autgroup(sK0) != X2 )
| ( u1_struct_0(sK0) != X1 )
| ( u1_struct_0(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_87,c_1517]) ).
tcf(c_1835,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK0))
| m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_1834]) ).
tcf(c_1837,plain,
! [X0: $i] :
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1835,c_55,c_51,c_187,c_204,c_1835]) ).
tcf(c_1838,plain,
! [X0: $i] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_1837]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ( k4_autgroup(sK0) != X2 )
| ( u1_struct_0(sK0) != X1 )
| ( u1_struct_0(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_1517]) ).
tcf(c_1847,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK0))
| v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_1846]) ).
tcf(c_1849,plain,
! [X0: $i] :
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1847,c_55,c_51,c_187,c_204,c_1847]) ).
tcf(c_1850,plain,
! [X0: $i] :
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_1849]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ( k4_autgroup(sK0) != X2 )
| ( u1_struct_0(sK0) != X1 )
| ( u1_struct_0(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_85,c_1517]) ).
tcf(c_1859,plain,
! [X0: $i] :
( v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_1858]) ).
tcf(c_1861,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1859,c_55,c_51,c_187,c_204,c_1859]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ( k4_autgroup(sK0) != X2 )
| ( u1_struct_0(sK0) != X1 )
| ( u1_struct_0(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_83,c_1517]) ).
tcf(c_1871,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK0))
| m1_subset_1(X0,k4_autgroup(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_1870]) ).
tcf(c_1873,plain,
! [X0: $i] :
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1871,c_55,c_51,c_187,c_204,c_1871]) ).
tcf(c_1874,plain,
! [X0: $i] :
( m1_subset_1(X0,k4_autgroup(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_1873]) ).
tcf(c_2546,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0))
| ( X0 != X1 )
| ( k4_autgroup(sK0) != k4_autgroup(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_1778,c_1838]) ).
tcf(c_2547,plain,
! [X0: $i] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(unflattening,[status(thm)],[c_2546]) ).
tcf(c_2615,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,k4_autgroup(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k4_autgroup(sK0) != k4_autgroup(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k6_autgroup(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1533,c_1874]) ).
tcf(c_2616,plain,
! [X0: $i] :
( m1_subset_1(k6_autgroup(sK0,X0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2615]) ).
tcf(c_2624,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k4_autgroup(sK0) != k4_autgroup(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k6_autgroup(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1533,c_1861]) ).
tcf(c_2625,plain,
! [X0: $i] :
( v1_funct_1(k6_autgroup(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2624]) ).
tcf(c_2633,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k4_autgroup(sK0) != k4_autgroup(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k6_autgroup(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1533,c_1850]) ).
tcf(c_2634,plain,
! [X0: $i] :
( v1_funct_2(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2633]) ).
tcf(c_2642,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k4_autgroup(sK0) != k4_autgroup(sK0) )
| ( u1_struct_0(sK0) != u1_struct_0(sK0) )
| ( k6_autgroup(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1533,c_1838]) ).
tcf(c_2643,plain,
! [X0: $i] :
( m2_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2642]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_4296,plain,
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1) )
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
tcf(c_4348,plain,
! [X0: $i] :
( v1_funct_2(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2634]) ).
tcf(c_4350,plain,
! [X0: $i] :
( m2_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2643]) ).
tcf(c_4352,plain,
! [X0: $i] :
( m1_subset_1(k6_autgroup(sK0,X0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2616]) ).
tcf(c_4368,plain,
! [X0: $i] :
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(prop_impl_just,[status(thm)],[c_2547]) ).
tcf(c_4549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_relset_1(X4,X5,X1,X2,X3,X0) = k5_relat_1(X3,X0) )
| ~ m2_relset_1(X3,X4,X5)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_465,c_4294]) ).
tcf(c_5373,plain,
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) )
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1) ) ),
inference(light_normalisation,[status(thm)],[c_4296,c_1524]) ).
tcf(c_9410,plain,
! [X0: $i] :
( m1_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4350,c_101]) ).
tcf(c_9426,plain,
! [X0: $i] :
( ( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k6_autgroup(sK0,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4350,c_77]) ).
tcf(c_11613,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_9426]) ).
tcf(c_21820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relset_1(X1,X2,u1_struct_0(sK0),u1_struct_0(sK0),X0,X3) = k5_relat_1(X0,X3) )
| ~ m1_subset_1(X3,k4_autgroup(sK0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4368,c_4549]) ).
tcf(c_32403,plain,
! [X0: $i,X1: $i] :
( ( k7_relset_1(X1,X1,u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(X1),X0) = k5_relat_1(k6_relat_1(X1),X0) )
| ~ m1_subset_1(X0,k4_autgroup(sK0)) ),
inference(superposition,[status(thm)],[c_80,c_21820]) ).
tcf(c_32520,plain,
! [X0: $i,X1: $i] :
( ( k7_relset_1(X1,X1,u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(X1),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(X1),k6_autgroup(sK0,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4352,c_32403]) ).
tcf(c_35495,plain,
! [X0: $i] : k7_relset_1(X0,X0,u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(X0),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_relat_1(X0),k6_autgroup(sK0,sK1)),
inference(superposition,[status(thm)],[c_50,c_32520]) ).
tcf(c_35511,plain,
k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(demodulation,[status(thm)],[c_11613,c_35495]) ).
tcf(c_286418,plain,
! [X0: $i] :
( ( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4350,c_78]) ).
tcf(c_286513,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(u1_struct_0(sK0))
| ( k7_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,X0)) = k5_relat_1(X1,k6_autgroup(sK0,X0)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k6_autgroup(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m2_relset_1(X1,X2,u1_struct_0(sK0))
| ~ v1_funct_2(X1,X2,u1_struct_0(sK0))
| ~ m1_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4348,c_461]) ).
tcf(c_286892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)) = k5_relat_1(X0,k6_relat_1(X3)) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_80,c_4549]) ).
tcf(c_287222,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_286418]) ).
tcf(c_287470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m2_relset_1(X1,X2,u1_struct_0(sK0))
| ~ v1_funct_2(X1,X2,u1_struct_0(sK0))
| ~ v1_funct_1(X1)
| ( k7_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,X0)) = k5_relat_1(X1,k6_autgroup(sK0,X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_286513,c_55,c_51,c_187,c_204,c_2625,c_9410,c_286513]) ).
tcf(c_287471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_autgroup(sK0,X2)) = k5_relat_1(X0,k6_autgroup(sK0,X2)) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_287470]) ).
tcf(c_287484,plain,
! [X0: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) )
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_80,c_287471]) ).
tcf(c_287493,plain,
! [X0: $i,X1: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) = k5_relat_1(k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) )
| ~ v1_funct_1(k6_autgroup(sK0,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_funct_2(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4350,c_287471]) ).
tcf(c_287508,plain,
! [X0: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287484,c_164,c_1493]) ).
tcf(c_288776,plain,
! [X0: $i,X1: $i] :
( ( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X1,X1,k6_autgroup(sK0,X0),k6_relat_1(X1)) = k5_relat_1(k6_autgroup(sK0,X0),k6_relat_1(X1)) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_4350,c_286892]) ).
tcf(c_289884,plain,
! [X0: $i,X1: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) = k5_relat_1(k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) )
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_287493,c_2625,c_2634,c_287493]) ).
tcf(c_289885,plain,
! [X0: $i,X1: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) = k5_relat_1(k6_autgroup(sK0,X0),k6_autgroup(sK0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_289884]) ).
tcf(c_289894,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_autgroup(sK0,k2_group_1(sK0))) = k5_relat_1(k6_autgroup(sK0,X0),k6_autgroup(sK0,k2_group_1(sK0))) )
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_61,c_289885]) ).
tcf(c_289901,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) )
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(light_normalisation,[status(thm)],[c_289894,c_1524]) ).
tcf(c_289902,plain,
! [X0: $i] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289901,c_51,c_55]) ).
tcf(c_289939,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)),
inference(superposition,[status(thm)],[c_50,c_287508]) ).
tcf(c_289946,plain,
( ( k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) )
| ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1) ) ),
inference(demodulation,[status(thm)],[c_5373,c_289939]) ).
tcf(c_293892,plain,
! [X0: $i] : k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X0,X0,k6_autgroup(sK0,sK1),k6_relat_1(X0)) = k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(X0)),
inference(superposition,[status(thm)],[c_50,c_288776]) ).
tcf(c_293899,plain,
k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(demodulation,[status(thm)],[c_287222,c_293892]) ).
tcf(c_297295,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))),
inference(superposition,[status(thm)],[c_50,c_289902]) ).
tcf(c_297299,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(light_normalisation,[status(thm)],[c_297295,c_293899]) ).
tcf(c_297304,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_297299,c_289946,c_35511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n015.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 : Wed Sep 23 15:23:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 112.42/27.47 % SZS status Started for theBenchmark.p
% 112.42/27.47 % SZS status Theorem for theBenchmark.p
% 112.42/27.47
% 112.42/27.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 112.42/27.47
% 112.42/27.47 % ------ iProver source info
% 112.42/27.47
% 112.42/27.47 % git: date: 2026-07-19 20:42:38 +0200
% 112.42/27.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 112.42/27.47 % git: non_committed_changes: false
% 112.42/27.47
% 112.42/27.47 % ------ Parsing...
% 112.42/27.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 112.42/27.47
% 112.42/27.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 1 sf_s rm: 14 0s sf_e pe_s pe_e %
% 112.42/27.47
% 112.42/27.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 112.42/27.47
% 112.42/27.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 112.42/27.47 % ------ Proving...
% 112.42/27.47 % ------ Problem Properties
% 112.42/27.47
% 112.42/27.47 %
% 112.42/27.47 % clauses 109
% 112.42/27.47 % conjectures 3
% 112.42/27.47 % EPR 28
% 112.42/27.47 % Horn 93
% 112.42/27.47 % unary 48
% 112.42/27.47 % binary 31
% 112.42/27.47 % lits 231
% 112.42/27.47 % lits eq 23
% 112.42/27.47 % fd_pure 0
% 112.42/27.47 % fd_pseudo 0
% 112.42/27.47 % fd_cond 0
% 112.42/27.47 % fd_pseudo_cond 3
% 112.42/27.47 % AC symbols 0
% 112.42/27.47
% 112.42/27.47 % ------ Schedule dynamic 5 is on
% 112.42/27.47
% 112.42/27.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 % ------
% 112.42/27.47 % Current options:
% 112.42/27.47 % ------
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 %
% 112.42/27.47
% 112.42/27.47 % ------ Proving...
% 112.42/27.47 % Proof_search_loop: time out after: 5068 full_loop iterations
% 112.42/27.47
% 112.42/27.47 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 % ------
% 112.42/27.47 % Current options:
% 112.42/27.47 % ------
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 %
% 112.42/27.47
% 112.42/27.47 % ------ Proving...
% 112.42/27.47 % Proof_search_loop: time out after: 7959 full_loop iterations
% 112.42/27.47
% 112.42/27.47 % ------ Option_1: Negative Selections Time Limit: 35.
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 % ------
% 112.42/27.47 % Current options:
% 112.42/27.47 % ------
% 112.42/27.47
% 112.42/27.47
% 112.42/27.47 %
% 112.42/27.47
% 112.42/27.47 % ------ Proving...
% 112.42/27.47 %
% 112.42/27.47
% 112.42/27.47 % SZS status Theorem for theBenchmark.p
% 112.42/27.47
% 112.42/27.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 112.42/27.47
% 112.42/27.47
%------------------------------------------------------------------------------