TSTP Solution File: GRP646+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP646+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 01:01:03 EDT 2023
% Result : Theorem 54.45s 8.30s
% Output : CNFRefutation 55.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f367)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(k5_group_2(X0),X1)
=> r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(k5_group_2(X0),X1)
=> r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f10,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( k1_group_3(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( m1_group_2(X2,X0)
& v1_group_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_group_3) ).
fof(f11,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f12,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k2_latsubgr(X0,X1) = X2
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsubgr) ).
fof(f13,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/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(f14,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ( k5_group_2(X0) = X1
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_group_2) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_2) ).
fof(f27,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k2_latsubgr(X0,X1),X0)
& v1_group_1(k2_latsubgr(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_latsubgr) ).
fof(f30,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_2) ).
fof(f37,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/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f53,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f54,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f67,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/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f69,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k6_setfam_1(X0,X1) = k1_setfam_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f72,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f74,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2)
& m1_group_2(X1,X0)
& v1_group_1(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_group_2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_group_2) ).
fof(f80,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( k1_xboole_0 != X1
=> ! [X4] :
( ? [X5] :
( k1_funct_1(X3,X5) = X4
& r2_hidden(X5,X2)
& r2_hidden(X5,X0) )
=> r2_hidden(X4,k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_funct_2) ).
fof(f81,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> r1_tarski(k1_setfam_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_setfam_1) ).
fof(f85,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> m1_group_2(k5_group_2(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_group_2) ).
fof(f93,plain,
? [X0] :
( ? [X1] :
( ~ r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0))
& r2_hidden(k5_group_2(X0),X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f94,plain,
? [X0] :
( ? [X1] :
( ~ r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0))
& r2_hidden(k5_group_2(X0),X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( k1_group_3(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( m1_group_2(X2,X0)
& v1_group_1(X2) ) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( k1_group_3(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( m1_group_2(X2,X0)
& v1_group_1(X2) ) ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k2_latsubgr(X0,X1) = X2
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k2_latsubgr(X0,X1) = X2
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,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,[],[f13]) ).
fof(f111,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,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( k5_group_2(X0) = X1
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( k5_group_2(X0) = X1
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f118,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f119,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1] :
( ( m1_group_2(k2_latsubgr(X0,X1),X0)
& v1_group_1(k2_latsubgr(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f125,plain,
! [X0,X1] :
( ( m1_group_2(k2_latsubgr(X0,X1),X0)
& v1_group_1(k2_latsubgr(X0,X1)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f127,plain,
! [X0] :
( ( m1_group_2(k5_group_2(X0),X0)
& v1_group_1(k5_group_2(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f134,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,[],[f37]) ).
fof(f135,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,[],[f134]) ).
fof(f157,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,[],[f67]) ).
fof(f158,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,[],[f157]) ).
fof(f161,plain,
! [X0,X1] :
( k6_setfam_1(X0,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f69]) ).
fof(f168,plain,
! [X0,X1,X2] :
( r1_group_2(X0,X1,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f169,plain,
! [X0,X1,X2] :
( r1_group_2(X0,X1,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0) ) )
| k1_xboole_0 = X1
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3) ),
inference(ennf_transformation,[],[f80]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0) ) )
| k1_xboole_0 = X1
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),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,[],[f85]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f186,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0))
& r2_hidden(k5_group_2(X0),X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
& ~ v1_xboole_0(X1) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ r1_group_2(sK0,k2_latsubgr(sK0,X1),k5_group_2(sK0))
& r2_hidden(k5_group_2(sK0),X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(sK0)))
& ~ v1_xboole_0(X1) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X1] :
( ~ r1_group_2(sK0,k2_latsubgr(sK0,X1),k5_group_2(sK0))
& r2_hidden(k5_group_2(sK0),X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(sK0)))
& ~ v1_xboole_0(X1) )
=> ( ~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0))
& r2_hidden(k5_group_2(sK0),sK1)
& m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0)))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0))
& r2_hidden(k5_group_2(sK0),sK1)
& m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0)))
& ~ v1_xboole_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])],[f94,f187,f186]) ).
fof(f189,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f190,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ( k1_group_3(X0) = X1
| ? [X2] :
( ( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ( k1_group_3(X0) = X1
| ? [X2] :
( ( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ( k1_group_3(X0) = X1
| ? [X2] :
( ( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& ( ( m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ r2_hidden(X2,X1) )
& ( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
| r2_hidden(X2,X1) ) )
=> ( ( ~ m1_group_2(sK2(X0,X1),X0)
| ~ v1_group_1(sK2(X0,X1))
| ~ r2_hidden(sK2(X0,X1),X1) )
& ( ( m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) )
| r2_hidden(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( k1_group_3(X0) = X1
| ( ( ~ m1_group_2(sK2(X0,X1),X0)
| ~ v1_group_1(sK2(X0,X1))
| ~ r2_hidden(sK2(X0,X1),X1) )
& ( ( m1_group_2(sK2(X0,X1),X0)
& v1_group_1(sK2(X0,X1)) )
| r2_hidden(sK2(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
& ( ( m1_group_2(X3,X0)
& v1_group_1(X3) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f193,f194]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f196]) ).
fof(f198,plain,
! [X0,X1] :
( ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& m1_group_2(X2,X0)
& v1_group_1(X2) )
=> ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1)) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f197,f198]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k2_latsubgr(X0,X1) = X2
| u1_struct_0(X2) != k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
& ( u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1))
| k2_latsubgr(X0,X1) != X2 ) )
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f201,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,[],[f111]) ).
fof(f202,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,[],[f201]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( ( k5_group_2(X0) = X1
| u1_struct_0(X1) != k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
& ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1 ) )
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f235,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(f238,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f188]) ).
fof(f239,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f188]) ).
fof(f240,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f188]) ).
fof(f241,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f188]) ).
fof(f242,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f188]) ).
fof(f243,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0))),
inference(cnf_transformation,[],[f188]) ).
fof(f244,plain,
r2_hidden(k5_group_2(sK0),sK1),
inference(cnf_transformation,[],[f188]) ).
fof(f245,plain,
~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0)),
inference(cnf_transformation,[],[f188]) ).
fof(f259,plain,
! [X0,X1] :
( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f262,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_group_3(X0) != X1
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f266,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_latsubgr(X0) != X1
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f270,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1))
| k2_latsubgr(X0,X1) != X2
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f272,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,[],[f202]) ).
fof(f275,plain,
! [X0,X1] :
( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f276,plain,
! [X0,X1] :
( k5_group_2(X0) = X1
| u1_struct_0(X1) != k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f280,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f281,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f282,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f285,plain,
! [X0,X1] :
( v1_group_1(k2_latsubgr(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f286,plain,
! [X0,X1] :
( m1_group_2(k2_latsubgr(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f287,plain,
! [X0] :
( v1_group_1(k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f288,plain,
! [X0] :
( m1_group_2(k5_group_2(X0),X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,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,[],[f135]) ).
fof(f294,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,[],[f135]) ).
fof(f295,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,[],[f135]) ).
fof(f310,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f53]) ).
fof(f311,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f54]) ).
fof(f332,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,[],[f158]) ).
fof(f334,plain,
! [X0,X1] :
( k6_setfam_1(X0,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f161]) ).
fof(f338,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f342,plain,
! [X2,X0,X1] :
( r1_group_2(X0,X1,X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f349,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0)
| k1_xboole_0 = X1
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f350,plain,
! [X0,X1] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f354,plain,
! [X0,X1] :
( m1_group_2(k5_group_2(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,[],[f183]) ).
fof(f359,plain,
! [X3,X0] :
( r2_hidden(X3,k1_group_3(X0))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f262]) ).
fof(f362,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f266]) ).
fof(f363,plain,
! [X0,X1] :
( k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| ~ m1_group_2(k2_latsubgr(X0,X1),X0)
| ~ v1_group_1(k2_latsubgr(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f270]) ).
fof(f364,plain,
! [X0] :
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| ~ v1_group_1(k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f275]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X5] :
( r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0)
| k1_xboole_0 = X1
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3) ),
inference(equality_resolution,[],[f349]) ).
cnf(c_49,negated_conjecture,
~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0)),
inference(cnf_transformation,[],[f245]) ).
cnf(c_50,negated_conjecture,
r2_hidden(k5_group_2(sK0),sK1),
inference(cnf_transformation,[],[f244]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0))),
inference(cnf_transformation,[],[f243]) ).
cnf(c_52,negated_conjecture,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f242]) ).
cnf(c_53,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f241]) ).
cnf(c_54,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f240]) ).
cnf(c_55,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f239]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f238]) ).
cnf(c_63,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_69,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| r2_hidden(X0,k1_group_3(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_75,plain,
( ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X1,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_77,plain,
( ~ m1_group_2(k2_latsubgr(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| ~ v1_group_1(k2_latsubgr(X0,X1))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_80,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,[],[f272]) ).
cnf(c_81,plain,
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) != u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| k5_group_2(X0) = X1
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f276]) ).
cnf(c_82,plain,
( ~ m1_group_2(k5_group_2(X0),X0)
| ~ v1_group_1(k5_group_2(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_86,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_87,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_88,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v1_funct_1(k1_latsubgr(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_89,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_91,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_2(k2_latsubgr(X1,X0),X1)
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_92,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v1_group_1(k2_latsubgr(X1,X0))
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_93,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_94,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v1_group_1(k5_group_2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_99,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,[],[f295]) ).
cnf(c_100,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,[],[f294]) ).
cnf(c_101,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,[],[f293]) ).
cnf(c_116,plain,
~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f310]) ).
cnf(c_117,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f311]) ).
cnf(c_138,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,[],[f332]) ).
cnf(c_140,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k6_setfam_1(X1,X0) = k1_setfam_1(X0) ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_145,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_146,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| r1_group_2(X1,X0,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_148,plain,
( ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| ~ v1_group_1(X2)
| r1_group_2(X1,X0,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_155,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X4)
| ~ v1_funct_1(X0)
| X2 = k1_xboole_0
| r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4)) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_156,plain,
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X0) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_160,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_group_2(k5_group_2(X1),X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_206,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k5_group_2(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_207,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_funct_1(k1_latsubgr(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_210,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k5_group_2(sK0),sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_214,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_215,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_235,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ v1_group_1(k5_group_2(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_248,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_80,c_100,c_99,c_101,c_80]) ).
cnf(c_249,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_248]) ).
cnf(c_250,plain,
( ~ v1_group_1(X0)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| r1_group_2(X1,X0,X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_148,c_146]) ).
cnf(c_251,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| r1_group_2(X1,X0,X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_250]) ).
cnf(c_254,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_94,c_93,c_82]) ).
cnf(c_257,plain,
( ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_88,c_87,c_86,c_75]) ).
cnf(c_258,plain,
( ~ m1_group_2(X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| k1_funct_1(k1_latsubgr(X1),X0) = u1_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_257]) ).
cnf(c_262,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_145]) ).
cnf(c_497,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ),
inference(bin_hyper_res,[status(thm)],[c_89,c_262]) ).
cnf(c_499,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| k2_funct_2(X1,X2,X0,X3) = k9_relat_1(X0,X3) ),
inference(bin_hyper_res,[status(thm)],[c_138,c_262]) ).
cnf(c_1049,plain,
( ~ m1_group_2(k2_latsubgr(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_92]) ).
cnf(c_1107,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X0)) = u1_struct_0(k2_latsubgr(X1,X0))
| v1_xboole_0(X0)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1049,c_91]) ).
cnf(c_2639,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_254]) ).
cnf(c_2640,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2639]) ).
cnf(c_2641,plain,
k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)),
inference(global_subsumption_just,[status(thm)],[c_2640,c_55,c_54,c_53,c_56,c_206,c_210,c_235]) ).
cnf(c_2699,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v1_group_1(k5_group_2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_94]) ).
cnf(c_2700,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k5_group_2(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2699]) ).
cnf(c_2701,plain,
v1_group_1(k5_group_2(sK0)),
inference(global_subsumption_just,[status(thm)],[c_2700,c_55,c_54,c_53,c_56,c_206]) ).
cnf(c_2706,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_93]) ).
cnf(c_2707,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k5_group_2(sK0),sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2706]) ).
cnf(c_2708,plain,
m1_group_2(k5_group_2(sK0),sK0),
inference(global_subsumption_just,[status(thm)],[c_2707,c_55,c_54,c_53,c_56,c_210]) ).
cnf(c_2720,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_87]) ).
cnf(c_2721,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2720]) ).
cnf(c_2722,plain,
v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(global_subsumption_just,[status(thm)],[c_2721,c_55,c_54,c_53,c_56,c_214]) ).
cnf(c_2734,plain,
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) != u1_struct_0(X1)
| X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| k5_group_2(X0) = X1
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_81]) ).
cnf(c_2735,plain,
( k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) != u1_struct_0(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| k5_group_2(sK0) = X0
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2734]) ).
cnf(c_2737,plain,
( k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) != u1_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2735,c_55,c_53,c_56,c_2735]) ).
cnf(c_2738,plain,
( k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) != u1_struct_0(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k5_group_2(sK0) = X0 ),
inference(renaming,[status(thm)],[c_2737]) ).
cnf(c_2846,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1107]) ).
cnf(c_2847,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0))
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2846]) ).
cnf(c_2849,plain,
( v1_xboole_0(X0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2847,c_55,c_53,c_56,c_2847]) ).
cnf(c_2850,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0))
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_2849]) ).
cnf(c_2861,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_258]) ).
cnf(c_2862,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2861]) ).
cnf(c_2864,plain,
( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_2862,c_55,c_53,c_56,c_2862]) ).
cnf(c_2865,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) ),
inference(renaming,[status(thm)],[c_2864]) ).
cnf(c_2876,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_2(X0),X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_160]) ).
cnf(c_2877,plain,
( ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k5_group_2(sK0),X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2876]) ).
cnf(c_2878,plain,
( m1_group_2(k5_group_2(sK0),X0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_2877,c_55,c_53,c_56,c_2877]) ).
cnf(c_2879,plain,
( ~ m1_group_2(X0,sK0)
| m1_group_2(k5_group_2(sK0),X0) ),
inference(renaming,[status(thm)],[c_2878]) ).
cnf(c_2886,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| r1_group_2(X0,X1,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_251]) ).
cnf(c_2887,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r1_group_2(sK0,X0,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2886]) ).
cnf(c_2889,plain,
( r1_group_2(sK0,X0,X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_2887,c_55,c_53,c_56,c_2887]) ).
cnf(c_2890,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| r1_group_2(sK0,X0,X0) ),
inference(renaming,[status(thm)],[c_2889]) ).
cnf(c_2901,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v1_group_1(k2_latsubgr(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_92]) ).
cnf(c_2902,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k2_latsubgr(sK0,X0))
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2901]) ).
cnf(c_2904,plain,
( v1_xboole_0(X0)
| v1_group_1(k2_latsubgr(sK0,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2902,c_55,c_53,c_56,c_2902]) ).
cnf(c_2905,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| v1_group_1(k2_latsubgr(sK0,X0))
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_2904]) ).
cnf(c_2916,plain,
( X0 != sK0
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_group_2(k2_latsubgr(X0,X1),X0)
| v1_xboole_0(X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_91]) ).
cnf(c_2917,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| v1_xboole_0(X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_2916]) ).
cnf(c_2919,plain,
( v1_xboole_0(X0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2917,c_55,c_53,c_56,c_2917]) ).
cnf(c_2920,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| v1_xboole_0(X0) ),
inference(renaming,[status(thm)],[c_2919]) ).
cnf(c_3018,plain,
( X0 != sK0
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| r2_hidden(X1,k1_group_3(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_69]) ).
cnf(c_3019,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| r2_hidden(X0,k1_group_3(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3018]) ).
cnf(c_3021,plain,
( r2_hidden(X0,k1_group_3(sK0))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_3019,c_55,c_53,c_56,c_3019]) ).
cnf(c_3022,plain,
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| r2_hidden(X0,k1_group_3(sK0)) ),
inference(renaming,[status(thm)],[c_3021]) ).
cnf(c_3319,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| k2_funct_2(X1,X2,X0,X3) = k9_relat_1(X0,X3) ),
inference(resolution_lifted,[status(thm)],[c_499,c_2722]) ).
cnf(c_3320,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0) ),
inference(unflattening,[status(thm)],[c_3319]) ).
cnf(c_3340,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ),
inference(resolution_lifted,[status(thm)],[c_497,c_2722]) ).
cnf(c_3341,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
inference(unflattening,[status(thm)],[c_3340]) ).
cnf(c_3359,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X4)
| ~ v1_funct_1(X0)
| X2 = k1_xboole_0
| r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4)) ),
inference(resolution_lifted,[status(thm)],[c_155,c_2722]) ).
cnf(c_3360,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_funct_1(k1_latsubgr(sK0))
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(unflattening,[status(thm)],[c_3359]) ).
cnf(c_3361,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_group_3(sK0))
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3360,c_55,c_54,c_53,c_56,c_207,c_215,c_3360]) ).
cnf(c_3362,plain,
( ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(renaming,[status(thm)],[c_3361]) ).
cnf(c_5574,plain,
( ~ m1_group_2(X0,sK0)
| m1_group_2(k5_group_2(sK0),X0) ),
inference(prop_impl_just,[status(thm)],[c_2879]) ).
cnf(c_6660,plain,
( u1_struct_0(k5_group_2(sK0)) != u1_struct_0(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| k5_group_2(sK0) = X0 ),
inference(light_normalisation,[status(thm)],[c_2738,c_2641]) ).
cnf(c_7287,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| k2_funct_2(X1,X2,X0,X3) = k9_relat_1(X0,X3) ),
inference(resolution_lifted,[status(thm)],[c_499,c_2722]) ).
cnf(c_7288,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0) ),
inference(unflattening,[status(thm)],[c_7287]) ).
cnf(c_7289,plain,
k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0),
inference(global_subsumption_just,[status(thm)],[c_7288,c_55,c_54,c_53,c_56,c_207,c_215,c_3320]) ).
cnf(c_7304,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| m1_subset_1(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ),
inference(resolution_lifted,[status(thm)],[c_497,c_2722]) ).
cnf(c_7305,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
inference(unflattening,[status(thm)],[c_7304]) ).
cnf(c_7306,plain,
m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))),
inference(global_subsumption_just,[status(thm)],[c_7305,c_55,c_54,c_53,c_56,c_207,c_215,c_3341]) ).
cnf(c_7318,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != X2
| k1_group_3(sK0) != X1
| k1_latsubgr(sK0) != X0
| ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X4)
| ~ v1_funct_1(X0)
| X2 = k1_xboole_0
| r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4)) ),
inference(resolution_lifted,[status(thm)],[c_155,c_2722]) ).
cnf(c_7319,plain,
( ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| ~ v1_funct_1(k1_latsubgr(sK0))
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(unflattening,[status(thm)],[c_7318]) ).
cnf(c_7320,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_group_3(sK0))
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_7319,c_3362]) ).
cnf(c_7321,plain,
( ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| k1_zfmisc_1(u1_struct_0(sK0)) = k1_xboole_0
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(renaming,[status(thm)],[c_7320]) ).
cnf(c_8778,plain,
( X0 != X1
| ~ v1_xboole_0(X1)
| v1_xboole_0(X0) ),
theory(equality) ).
cnf(c_11442,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0)))
| m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| v1_xboole_0(sK1) ),
inference(instantiation,[status(thm)],[c_2920]) ).
cnf(c_11443,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ v1_group_1(k5_group_2(sK0))
| r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
inference(instantiation,[status(thm)],[c_3022]) ).
cnf(c_11446,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ v1_group_1(k5_group_2(sK0))
| r1_group_2(sK0,k5_group_2(sK0),k5_group_2(sK0)) ),
inference(instantiation,[status(thm)],[c_2890]) ).
cnf(c_11521,plain,
( k1_zfmisc_1(X0) != X1
| ~ v1_xboole_0(X1)
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(instantiation,[status(thm)],[c_8778]) ).
cnf(c_12240,plain,
( ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| m1_group_2(k5_group_2(sK0),k2_latsubgr(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_5574]) ).
cnf(c_12552,plain,
( m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_51,c_2920]) ).
cnf(c_12554,plain,
m1_group_2(k2_latsubgr(sK0,sK1),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_12552,c_52]) ).
cnf(c_13302,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| l1_group_1(k2_latsubgr(sK0,sK1))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_12554,c_99]) ).
cnf(c_13306,plain,
l1_group_1(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_13302,c_56,c_55,c_53]) ).
cnf(c_13524,plain,
( k1_zfmisc_1(X0) != k1_xboole_0
| ~ v1_xboole_0(k1_xboole_0)
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(instantiation,[status(thm)],[c_11521]) ).
cnf(c_14007,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_group_1(k2_latsubgr(sK0,sK1))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_12554,c_100]) ).
cnf(c_14011,plain,
v3_group_1(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_14007,c_56,c_55,c_53]) ).
cnf(c_14056,plain,
( ~ v3_struct_0(k2_latsubgr(sK0,sK1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_12554,c_101]) ).
cnf(c_14060,plain,
~ v3_struct_0(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_14056,c_56,c_55,c_53]) ).
cnf(c_14082,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_14083,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))),
inference(instantiation,[status(thm)],[c_14082]) ).
cnf(c_17902,plain,
( ~ m1_group_2(k5_group_2(sK0),k2_latsubgr(sK0,sK1))
| ~ l1_group_1(k2_latsubgr(sK0,sK1))
| ~ v3_group_1(k2_latsubgr(sK0,sK1))
| r1_tarski(u1_struct_0(k5_group_2(sK0)),u1_struct_0(k2_latsubgr(sK0,sK1)))
| v3_struct_0(k2_latsubgr(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_25748,plain,
( k1_zfmisc_1(u1_struct_0(sK0)) != k1_xboole_0
| ~ v1_xboole_0(k1_xboole_0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(instantiation,[status(thm)],[c_13524]) ).
cnf(c_33102,plain,
( ~ v1_group_1(k5_group_2(sK0))
| k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) = u1_struct_0(k5_group_2(sK0)) ),
inference(superposition,[status(thm)],[c_2708,c_2865]) ).
cnf(c_33104,plain,
k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) = u1_struct_0(k5_group_2(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33102,c_2701]) ).
cnf(c_33357,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_group_3(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_7321,c_117,c_3362,c_14083,c_25748]) ).
cnf(c_33358,plain,
( ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(renaming,[status(thm)],[c_33357]) ).
cnf(c_33362,plain,
( ~ r2_hidden(k5_group_2(sK0),k1_group_3(sK0))
| ~ r2_hidden(k5_group_2(sK0),X0)
| r2_hidden(u1_struct_0(k5_group_2(sK0)),k9_relat_1(k1_latsubgr(sK0),X0)) ),
inference(superposition,[status(thm)],[c_33104,c_33358]) ).
cnf(c_58226,plain,
( v1_group_1(k2_latsubgr(sK0,sK1))
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_51,c_2905]) ).
cnf(c_58228,plain,
v1_group_1(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_58226,c_52]) ).
cnf(c_58233,plain,
( m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_51,c_2920]) ).
cnf(c_58236,plain,
m1_group_2(k2_latsubgr(sK0,sK1),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_58233,c_52]) ).
cnf(c_58247,plain,
( ~ v1_group_1(k5_group_2(sK0))
| k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) = u1_struct_0(k5_group_2(sK0)) ),
inference(superposition,[status(thm)],[c_2708,c_2865]) ).
cnf(c_58249,plain,
k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) = u1_struct_0(k5_group_2(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_58247,c_2701]) ).
cnf(c_58288,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0))
| v1_xboole_0(X0) ),
inference(light_normalisation,[status(thm)],[c_2850,c_7289]) ).
cnf(c_58292,plain,
( k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k2_latsubgr(sK0,sK1))
| v1_xboole_0(sK1) ),
inference(superposition,[status(thm)],[c_51,c_58288]) ).
cnf(c_58296,plain,
k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_58292,c_52]) ).
cnf(c_58405,plain,
m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))),
inference(light_normalisation,[status(thm)],[c_7306,c_7289]) ).
cnf(c_58491,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_group_3(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(global_subsumption_just,[status(thm)],[c_7321,c_117,c_3362,c_14083,c_25748]) ).
cnf(c_58492,plain,
( ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ),
inference(renaming,[status(thm)],[c_58491]) ).
cnf(c_58496,plain,
( ~ r2_hidden(k5_group_2(sK0),k1_group_3(sK0))
| ~ r2_hidden(k5_group_2(sK0),X0)
| r2_hidden(u1_struct_0(k5_group_2(sK0)),k9_relat_1(k1_latsubgr(sK0),X0)) ),
inference(superposition,[status(thm)],[c_58249,c_58492]) ).
cnf(c_58770,plain,
k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),X0)) = k1_setfam_1(k9_relat_1(k1_latsubgr(sK0),X0)),
inference(superposition,[status(thm)],[c_58405,c_140]) ).
cnf(c_60186,plain,
( ~ r2_hidden(k5_group_2(sK0),X0)
| r2_hidden(u1_struct_0(k5_group_2(sK0)),k9_relat_1(k1_latsubgr(sK0),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_58496,c_55,c_54,c_53,c_56,c_206,c_210,c_11443,c_33362]) ).
cnf(c_66438,plain,
k1_setfam_1(k9_relat_1(k1_latsubgr(sK0),sK1)) = u1_struct_0(k2_latsubgr(sK0,sK1)),
inference(demodulation,[status(thm)],[c_58296,c_58770]) ).
cnf(c_66544,plain,
( ~ r2_hidden(X0,k9_relat_1(k1_latsubgr(sK0),sK1))
| r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),X0) ),
inference(superposition,[status(thm)],[c_66438,c_156]) ).
cnf(c_66623,plain,
( ~ r2_hidden(k5_group_2(sK0),sK1)
| r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(k5_group_2(sK0))) ),
inference(superposition,[status(thm)],[c_60186,c_66544]) ).
cnf(c_66626,plain,
r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(k5_group_2(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_66623,c_50]) ).
cnf(c_66679,plain,
( ~ r1_tarski(u1_struct_0(k5_group_2(sK0)),u1_struct_0(k2_latsubgr(sK0,sK1)))
| u1_struct_0(k2_latsubgr(sK0,sK1)) = u1_struct_0(k5_group_2(sK0)) ),
inference(superposition,[status(thm)],[c_66626,c_63]) ).
cnf(c_66787,plain,
u1_struct_0(k2_latsubgr(sK0,sK1)) = u1_struct_0(k5_group_2(sK0)),
inference(global_subsumption_just,[status(thm)],[c_66679,c_52,c_51,c_11442,c_12240,c_13306,c_14011,c_14060,c_17902,c_66679]) ).
cnf(c_66818,plain,
( ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| ~ v1_group_1(k2_latsubgr(sK0,sK1))
| k2_latsubgr(sK0,sK1) = k5_group_2(sK0) ),
inference(superposition,[status(thm)],[c_66787,c_6660]) ).
cnf(c_66823,plain,
k2_latsubgr(sK0,sK1) = k5_group_2(sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_66818,c_58228,c_58236]) ).
cnf(c_66861,plain,
~ r1_group_2(sK0,k5_group_2(sK0),k5_group_2(sK0)),
inference(demodulation,[status(thm)],[c_49,c_66823]) ).
cnf(c_66862,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_66861,c_11446,c_210,c_206,c_56,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP646+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:52:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 54.45/8.30 % SZS status Started for theBenchmark.p
% 54.45/8.30 % SZS status Theorem for theBenchmark.p
% 54.45/8.30
% 54.45/8.30 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 54.45/8.30
% 54.45/8.30 ------ iProver source info
% 54.45/8.30
% 54.45/8.30 git: date: 2023-05-31 18:12:56 +0000
% 54.45/8.30 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 54.45/8.30 git: non_committed_changes: false
% 54.45/8.30 git: last_make_outside_of_git: false
% 54.45/8.30
% 54.45/8.30 ------ Parsing...
% 54.45/8.30 ------ Clausification by vclausify_rel & Parsing by iProver...
% 54.45/8.30
% 54.45/8.30 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 1 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 54.45/8.30
% 54.45/8.30 ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.45/8.30
% 54.45/8.30 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.45/8.30 ------ Proving...
% 54.45/8.30 ------ Problem Properties
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30 clauses 137
% 54.45/8.30 conjectures 7
% 54.45/8.30 EPR 26
% 54.45/8.30 Horn 102
% 54.45/8.30 unary 37
% 54.45/8.30 binary 30
% 54.45/8.30 lits 353
% 54.45/8.30 lits eq 87
% 54.45/8.30 fd_pure 0
% 54.45/8.30 fd_pseudo 0
% 54.45/8.30 fd_cond 8
% 54.45/8.30 fd_pseudo_cond 8
% 54.45/8.30 AC symbols 0
% 54.45/8.30
% 54.45/8.30 ------ Input Options Time Limit: Unbounded
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30 ------
% 54.45/8.30 Current options:
% 54.45/8.30 ------
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30 ------ Proving...
% 54.45/8.30
% 54.45/8.30
% 54.45/8.30 % SZS status Theorem for theBenchmark.p
% 54.45/8.30
% 54.45/8.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.10/8.30
% 55.10/8.31
%------------------------------------------------------------------------------