TSTP Solution File: GRP637+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:00:56 EDT 2023
% Result : Theorem 0.40s 1.14s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 146 ( 46 unt; 0 def)
% Number of atoms : 725 ( 79 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 876 ( 297 ~; 283 |; 244 &)
% ( 7 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 291 ( 2 sgn; 133 !; 63 ?)
% 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) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_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) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_2) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f21,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f44,axiom,
! [X0,X1] :
( ( m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(f45,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(f47,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f53,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
=> m1_group_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_group_2) ).
fof(f58,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_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( m1_group_2(X4,X0)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ( ( m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
=> m1_group_6(X5,X1,X6) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& 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) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& 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) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f59]) ).
fof(f64,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f69]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( m1_group_6(X2,X0,X1)
<=> m1_group_2(X2,X1) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f96,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f95]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,X0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,X0) )
& m1_group_2(X3,X0) )
& 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) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,X1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X2,u1_struct_0(X3))
& m1_group_2(X6,X1) )
& m1_group_2(X5,X1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X2) )
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(X3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(X3,sK0) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
& m1_group_2(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,X4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(X4,sK0) )
=> ( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
& m1_group_2(sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X5] :
( ? [X6] :
( ~ m1_group_6(X5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& u1_struct_0(X5) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3))
& m1_group_2(X6,sK1) )
& m1_group_2(X5,sK1) )
=> ( ? [X6] :
( ~ m1_group_6(sK5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(X6,sK1) )
& m1_group_2(sK5,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X6] :
( ~ m1_group_6(sK5,sK1,X6)
& m1_group_6(sK3,sK0,sK4)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(X6,sK1) )
=> ( ~ m1_group_6(sK5,sK1,sK6)
& m1_group_6(sK3,sK0,sK4)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ~ m1_group_6(sK5,sK1,sK6)
& m1_group_6(sK3,sK0,sK4)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6)
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5)
& m1_group_2(sK6,sK1)
& m1_group_2(sK5,sK1)
& m1_group_2(sK4,sK0)
& m1_group_2(sK3,sK0)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1)
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f60,f114,f113,f112,f111,f110,f109,f108]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1))
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1))
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) ) )
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f148,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1) )
& ( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1) ) )
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f149,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,[],[f45]) ).
fof(f151,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f153,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f154,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f155,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f156,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f157,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f158,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f159,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f115]) ).
fof(f160,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f161,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f115]) ).
fof(f163,plain,
m1_group_2(sK4,sK0),
inference(cnf_transformation,[],[f115]) ).
fof(f164,plain,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f165,plain,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f115]) ).
fof(f166,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(cnf_transformation,[],[f115]) ).
fof(f167,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f115]) ).
fof(f168,plain,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f115]) ).
fof(f169,plain,
~ m1_group_6(sK5,sK1,sK6),
inference(cnf_transformation,[],[f115]) ).
fof(f173,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f181,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f186,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f187,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f188,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f190,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f223,plain,
! [X2,X0,X1] :
( m1_group_2(X2,X1)
| ~ m1_group_6(X2,X0,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f224,plain,
! [X2,X0,X1] :
( m1_group_6(X2,X0,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f225,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f226,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f228,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f235,plain,
! [X2,X0,X1] :
( m1_group_2(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_49,negated_conjecture,
~ m1_group_6(sK5,sK1,sK6),
inference(cnf_transformation,[],[f169]) ).
cnf(c_50,negated_conjecture,
m1_group_6(sK3,sK0,sK4),
inference(cnf_transformation,[],[f168]) ).
cnf(c_51,negated_conjecture,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(cnf_transformation,[],[f167]) ).
cnf(c_52,negated_conjecture,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(cnf_transformation,[],[f166]) ).
cnf(c_53,negated_conjecture,
m1_group_2(sK6,sK1),
inference(cnf_transformation,[],[f165]) ).
cnf(c_54,negated_conjecture,
m1_group_2(sK5,sK1),
inference(cnf_transformation,[],[f164]) ).
cnf(c_55,negated_conjecture,
m1_group_2(sK4,sK0),
inference(cnf_transformation,[],[f163]) ).
cnf(c_57,negated_conjecture,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f161]) ).
cnf(c_58,negated_conjecture,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f160]) ).
cnf(c_59,negated_conjecture,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f159]) ).
cnf(c_60,negated_conjecture,
l1_group_1(sK1),
inference(cnf_transformation,[],[f158]) ).
cnf(c_61,negated_conjecture,
v4_group_1(sK1),
inference(cnf_transformation,[],[f157]) ).
cnf(c_62,negated_conjecture,
v3_group_1(sK1),
inference(cnf_transformation,[],[f156]) ).
cnf(c_63,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f155]) ).
cnf(c_64,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f154]) ).
cnf(c_65,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f153]) ).
cnf(c_66,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f152]) ).
cnf(c_67,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f151]) ).
cnf(c_70,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_76,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X0)
| ~ v3_group_1(X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_79,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| l1_group_1(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_80,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| v3_group_1(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_81,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_83,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_115,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| k2_funct_2(X1,X2,X0,X3) = k9_relat_1(X0,X3) ),
inference(cnf_transformation,[],[f222]) ).
cnf(c_116,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_6(X2,X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_117,plain,
( ~ m1_group_6(X0,X1,X2)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_2(X0,X2)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_118,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f226]) ).
cnf(c_119,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_121,plain,
( ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_128,plain,
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X0,X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| m1_group_2(X0,X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_180,plain,
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_80,c_79,c_81,c_76]) ).
cnf(c_181,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_180]) ).
cnf(c_184,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_119]) ).
cnf(c_185,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_184]) ).
cnf(c_200,plain,
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_118,c_83]) ).
cnf(c_1086,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK0) != X1
| X2 != sK2
| m1_relset_1(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_185]) ).
cnf(c_1087,plain,
m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(unflattening,[status(thm)],[c_1086]) ).
cnf(c_1248,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK0) != X1
| X2 != sK2
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_funct_1(X2)
| k2_funct_2(X1,X0,X2,X3) = k9_relat_1(X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_58,c_115]) ).
cnf(c_1249,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
inference(unflattening,[status(thm)],[c_1248]) ).
cnf(c_1251,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0),
inference(global_subsumption_just,[status(thm)],[c_1249,c_59,c_1087,c_1249]) ).
cnf(c_1386,plain,
( u1_struct_0(sK1) != X2
| u1_struct_0(sK0) != X1
| X0 != sK2
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(resolution_lifted,[status(thm)],[c_200,c_1087]) ).
cnf(c_1387,plain,
m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK1)))),
inference(unflattening,[status(thm)],[c_1386]) ).
cnf(c_1428,plain,
( X0 != sK1
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_6(X2,X0,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_61,c_116]) ).
cnf(c_1429,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| m1_group_6(X0,sK1,X1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1428]) ).
cnf(c_1431,plain,
( m1_group_6(X0,sK1,X1)
| ~ m1_group_2(X1,sK1)
| ~ m1_group_2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1429,c_62,c_60,c_63,c_1429]) ).
cnf(c_1432,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK1)
| m1_group_6(X0,sK1,X1) ),
inference(renaming,[status(thm)],[c_1431]) ).
cnf(c_1468,plain,
( X0 != sK1
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(X1,X2)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_61,c_128]) ).
cnf(c_1469,plain,
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| m1_group_2(X0,X1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1468]) ).
cnf(c_1471,plain,
( m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK1)
| ~ m1_group_2(X0,sK1)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1469,c_62,c_60,c_63,c_1469]) ).
cnf(c_1472,plain,
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(X1,sK1)
| m1_group_2(X0,X1) ),
inference(renaming,[status(thm)],[c_1471]) ).
cnf(c_1486,plain,
( X0 != sK0
| ~ m1_group_6(X1,X0,X2)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(X1,X2)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_65,c_117]) ).
cnf(c_1487,plain,
( ~ m1_group_6(X0,sK0,X1)
| ~ m1_group_2(X1,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(X0,X1)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_1486]) ).
cnf(c_1488,plain,
( m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_6(X0,sK0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1487,c_66,c_64,c_67,c_1487]) ).
cnf(c_1489,plain,
( ~ m1_group_6(X0,sK0,X1)
| ~ m1_group_2(X1,sK0)
| m1_group_2(X0,X1) ),
inference(renaming,[status(thm)],[c_1488]) ).
cnf(c_1621,plain,
( X0 != sK5
| X1 != sK6
| sK1 != sK1
| ~ m1_group_2(X0,X1)
| ~ m1_group_2(X1,sK1) ),
inference(resolution_lifted,[status(thm)],[c_49,c_1432]) ).
cnf(c_1622,plain,
( ~ m1_group_2(sK5,sK6)
| ~ m1_group_2(sK6,sK1) ),
inference(unflattening,[status(thm)],[c_1621]) ).
cnf(c_1672,plain,
( X0 != sK3
| X1 != sK4
| sK0 != sK0
| ~ m1_group_2(X1,sK0)
| m1_group_2(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1489]) ).
cnf(c_1673,plain,
( ~ m1_group_2(sK4,sK0)
| m1_group_2(sK3,sK4) ),
inference(unflattening,[status(thm)],[c_1672]) ).
cnf(c_3891,plain,
k9_relat_1(sK2,u1_struct_0(sK4)) = u1_struct_0(sK6),
inference(demodulation,[status(thm)],[c_51,c_1251]) ).
cnf(c_3892,plain,
k9_relat_1(sK2,u1_struct_0(sK3)) = u1_struct_0(sK5),
inference(demodulation,[status(thm)],[c_52,c_1251]) ).
cnf(c_4170,plain,
v1_relat_1(sK2),
inference(superposition,[status(thm)],[c_1387,c_70]) ).
cnf(c_4290,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| l1_group_1(sK4)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_55,c_79]) ).
cnf(c_4310,plain,
l1_group_1(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_4290,c_67,c_66,c_64]) ).
cnf(c_4353,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_group_1(sK4)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_55,c_80]) ).
cnf(c_4373,plain,
v3_group_1(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_4353,c_67,c_66,c_64]) ).
cnf(c_4412,plain,
( ~ r1_tarski(X0,u1_struct_0(sK4))
| ~ v1_relat_1(sK2)
| r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_3891,c_121]) ).
cnf(c_4417,plain,
( ~ r1_tarski(X0,u1_struct_0(sK4))
| r1_tarski(k9_relat_1(sK2,X0),u1_struct_0(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4412,c_4170]) ).
cnf(c_4488,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(sK4)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_55,c_81]) ).
cnf(c_4510,plain,
~ v3_struct_0(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_4488,c_67,c_66,c_64]) ).
cnf(c_4608,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(X0))
| ~ m1_group_2(X0,sK1)
| ~ m1_group_2(sK5,sK1)
| m1_group_2(sK5,X0) ),
inference(instantiation,[status(thm)],[c_1472]) ).
cnf(c_4632,plain,
( ~ r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_3892,c_4417]) ).
cnf(c_5252,plain,
( ~ m1_group_2(sK3,sK4)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| r1_tarski(u1_struct_0(sK3),u1_struct_0(sK4))
| v3_struct_0(sK4) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_6883,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK6))
| ~ m1_group_2(sK5,sK1)
| ~ m1_group_2(sK6,sK1)
| m1_group_2(sK5,sK6) ),
inference(instantiation,[status(thm)],[c_4608]) ).
cnf(c_6884,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6883,c_5252,c_4632,c_4510,c_4373,c_4310,c_1673,c_1622,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GRP637+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.11 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n028.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 28 20:12:55 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.40/1.14 % SZS status Started for theBenchmark.p
% 0.40/1.14 % SZS status Theorem for theBenchmark.p
% 0.40/1.14
% 0.40/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.40/1.14
% 0.40/1.14 ------ iProver source info
% 0.40/1.14
% 0.40/1.14 git: date: 2023-05-31 18:12:56 +0000
% 0.40/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.40/1.14 git: non_committed_changes: false
% 0.40/1.14 git: last_make_outside_of_git: false
% 0.40/1.14
% 0.40/1.14 ------ Parsing...
% 0.40/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.40/1.14
% 0.40/1.14 ------ 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
% 0.40/1.14
% 0.40/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.40/1.14
% 0.40/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.40/1.14 ------ Proving...
% 0.40/1.14 ------ Problem Properties
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14 clauses 86
% 0.40/1.14 conjectures 12
% 0.40/1.14 EPR 33
% 0.40/1.14 Horn 73
% 0.40/1.14 unary 39
% 0.40/1.14 binary 20
% 0.40/1.14 lits 182
% 0.40/1.14 lits eq 18
% 0.40/1.14 fd_pure 0
% 0.40/1.14 fd_pseudo 0
% 0.40/1.14 fd_cond 1
% 0.40/1.14 fd_pseudo_cond 1
% 0.40/1.14 AC symbols 0
% 0.40/1.14
% 0.40/1.14 ------ Schedule dynamic 5 is on
% 0.40/1.14
% 0.40/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14 ------
% 0.40/1.14 Current options:
% 0.40/1.14 ------
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14 ------ Proving...
% 0.40/1.14
% 0.40/1.14
% 0.40/1.14 % SZS status Theorem for theBenchmark.p
% 0.40/1.14
% 0.40/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.40/1.14
% 0.40/1.14
%------------------------------------------------------------------------------