TSTP Solution File: GRP620+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Fri May 3 02:23:06 EDT 2024
% Result : Theorem 7.74s 1.67s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_funct_1(X1)
& v1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f17,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f20,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f39,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f60,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f61,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f64,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X1) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f66,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f68,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( ( k2_funct_1(X2) = X3
& v4_group_6(X2,X1,X0) )
=> v4_group_6(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_group_6) ).
fof(f71,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) ) )
& ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f76]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f102,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f103,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f105,plain,
! [X0] :
( ( v1_funct_1(k2_funct_1(X0))
& v1_relat_1(k2_funct_1(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( v1_fraenkel(X2)
& ~ v1_xboole_0(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f108]) ).
fof(f116,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f117,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f127,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f128,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f127]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k2_funct_1(X1)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f135]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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,[],[f68]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3) )
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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,[],[f138]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( ( r2_hidden(X2,X1)
<=> ( v3_group_6(X2,X0,X0)
& v2_funct_1(X2) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( k1_autgroup(X0) = X1
<=> ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f99,f142]) ).
fof(f144,plain,
( ? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(X1,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
=> ( ~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& v1_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f77,f145,f144]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X3] :
( ( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3) )
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f156]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
=> ( ( ~ m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK4(X0,X1),X0,X0)
| ~ v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK4(X0,X1)) )
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( ( k1_autgroup(X0) = X1
| ~ sP0(X0,X1)
| ( ( ~ m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK4(X0,X1),X0,X0)
| ~ v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(sK4(X0,X1)) )
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) ) )
& ( ( sP0(X0,X1)
& ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f157,f158]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f125]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f207,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f208,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f209,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f210,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f211,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f212,plain,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f213,plain,
~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f216,plain,
! [X0,X1] :
( v1_relat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f250,plain,
! [X3,X0,X1] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f257,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f259,plain,
! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f260,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f262,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X3,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f279,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f332,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f333,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f336,plain,
! [X0,X1] :
( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f337,plain,
! [X0,X1] :
( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f340,plain,
! [X0,X1] :
( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f341,plain,
! [X0,X1] :
( v1_group_6(k2_funct_1(X1),X0,X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f342,plain,
! [X0,X1] :
( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( v4_group_6(X3,X0,X1)
| k2_funct_1(X2) != X3
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(cnf_transformation,[],[f139]) ).
fof(f349,plain,
! [X3,X0] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f250]) ).
fof(f352,plain,
! [X2,X0,X1] :
( v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v4_group_6(X2,X1,X0)
| ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_funct_1(X2))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(equality_resolution,[],[f344]) ).
cnf(c_49,negated_conjecture,
~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f213]) ).
cnf(c_50,negated_conjecture,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f212]) ).
cnf(c_51,negated_conjecture,
l1_group_1(sK1),
inference(cnf_transformation,[],[f211]) ).
cnf(c_52,negated_conjecture,
v4_group_1(sK1),
inference(cnf_transformation,[],[f210]) ).
cnf(c_53,negated_conjecture,
v3_group_1(sK1),
inference(cnf_transformation,[],[f209]) ).
cnf(c_54,negated_conjecture,
v1_group_1(sK1),
inference(cnf_transformation,[],[f208]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f207]) ).
cnf(c_59,plain,
( ~ m1_subset_1(X0,X1)
| ~ v1_fraenkel(X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_86,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_91,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_92,plain,
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k2_funct_1(X0)) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_94,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_95,plain,
( ~ m1_fraenkel(X0,X1,X2)
| v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_96,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_97,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_98,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_99,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_1(X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_113,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_161,plain,
( ~ m1_fraenkel(X0,X1,X2)
| ~ m1_subset_1(X3,X0)
| m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_162,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_166,plain,
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_167,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_170,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X1)
| ~ v4_group_6(X0,X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f337]) ).
cnf(c_171,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X1)
| ~ r2_hidden(X0,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X0)
| v4_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_173,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_174,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_group_6(k2_funct_1(X0),X1,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_175,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_178,plain,
( ~ v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X0),X1,X2)
| ~ v1_group_6(X0,X2,X1)
| ~ v4_group_6(X0,X2,X1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v1_funct_1(X0)
| v4_group_6(k2_funct_1(X0),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_187,plain,
( ~ l1_group_1(sK1)
| l1_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_208,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_234,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_283,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_94]) ).
cnf(c_979,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| v1_group_6(X0,X1,X1)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_91]) ).
cnf(c_2519,plain,
( X0 != X1
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_283,c_113]) ).
cnf(c_2520,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2519]) ).
cnf(c_6393,plain,
( u1_struct_0(sK1) != X0
| u1_struct_0(sK1) != X1
| k1_autgroup(sK1) != X2
| X3 != sK2
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_99]) ).
cnf(c_6394,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| v1_funct_1(sK2) ),
inference(unflattening,[status(thm)],[c_6393]) ).
cnf(c_18027,plain,
u1_struct_0(sK1) = sP0_iProver_def,
definition ).
cnf(c_18028,plain,
k1_autgroup(sK1) = sP1_iProver_def,
definition ).
cnf(c_18029,plain,
k2_funct_1(sK2) = sP2_iProver_def,
definition ).
cnf(c_18030,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_18031,negated_conjecture,
v1_group_1(sK1),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_18032,negated_conjecture,
v3_group_1(sK1),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_18033,negated_conjecture,
v4_group_1(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_18034,negated_conjecture,
l1_group_1(sK1),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_18035,negated_conjecture,
m2_fraenkel(sK2,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_18028,c_18027]) ).
cnf(c_18036,negated_conjecture,
~ m2_fraenkel(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_18029]) ).
cnf(c_21098,plain,
( ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK2)
| v1_funct_1(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_18029,c_92]) ).
cnf(c_21509,plain,
( ~ v1_relat_1(sK2)
| v1_funct_1(sP2_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_21098,c_54,c_53,c_52,c_51,c_55,c_187,c_208,c_234,c_6394,c_21098]) ).
cnf(c_21537,plain,
( ~ l1_group_1(sK1)
| ~ v1_xboole_0(sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_2520]) ).
cnf(c_21538,plain,
~ v1_xboole_0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21537,c_18030,c_18034]) ).
cnf(c_21701,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),sP0_iProver_def,sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_91]) ).
cnf(c_21717,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_21701,c_18028]) ).
cnf(c_21718,plain,
m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21717,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_21775,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| v1_funct_1(sK2)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18035,c_99]) ).
cnf(c_21777,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| v1_funct_1(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21775,c_21538]) ).
cnf(c_21806,plain,
~ v1_xboole_0(sP1_iProver_def),
inference(superposition,[status(thm)],[c_21718,c_96]) ).
cnf(c_21807,plain,
v1_fraenkel(sP1_iProver_def),
inference(superposition,[status(thm)],[c_21718,c_95]) ).
cnf(c_21818,plain,
v1_funct_1(sK2),
inference(global_subsumption_just,[status(thm)],[c_21777,c_54,c_53,c_52,c_51,c_55,c_187,c_208,c_234,c_6394]) ).
cnf(c_21884,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| ~ m1_subset_1(sP2_iProver_def,sP1_iProver_def)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_161,c_18036]) ).
cnf(c_21885,plain,
~ m1_subset_1(sP2_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21884,c_21538,c_21718]) ).
cnf(c_21901,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| m1_subset_1(sK2,sP1_iProver_def)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18035,c_162]) ).
cnf(c_21903,plain,
m1_subset_1(sK2,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21901,c_21538,c_21718]) ).
cnf(c_21934,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| m2_relset_1(sK2,sP0_iProver_def,sP0_iProver_def)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18035,c_97]) ).
cnf(c_21936,plain,
m2_relset_1(sK2,sP0_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21934,c_21538,c_21718]) ).
cnf(c_21971,plain,
( ~ m1_fraenkel(sP1_iProver_def,sP0_iProver_def,sP0_iProver_def)
| v1_funct_2(sK2,sP0_iProver_def,sP0_iProver_def)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18035,c_98]) ).
cnf(c_21973,plain,
v1_funct_2(sK2,sP0_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21971,c_21538,c_21718]) ).
cnf(c_21997,plain,
( r2_hidden(sK2,sP1_iProver_def)
| v1_xboole_0(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_21903,c_167]) ).
cnf(c_21998,plain,
( ~ v1_fraenkel(sP1_iProver_def)
| v1_relat_1(sK2) ),
inference(superposition,[status(thm)],[c_21903,c_59]) ).
cnf(c_22000,plain,
v1_relat_1(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_21998,c_21807]) ).
cnf(c_22001,plain,
r2_hidden(sK2,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_21997,c_21806]) ).
cnf(c_22003,plain,
v1_funct_1(sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_21509,c_22000]) ).
cnf(c_22597,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,k1_autgroup(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(X0,sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_979]) ).
cnf(c_22600,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(X0,sK1,sK1)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_22597,c_18028]) ).
cnf(c_22601,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| v1_group_6(X0,sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22600,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_22641,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,k1_autgroup(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(k2_funct_1(X0),sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_174]) ).
cnf(c_22644,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_group_6(k2_funct_1(X0),sK1,sK1)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_22641,c_18028]) ).
cnf(c_22645,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| v1_group_6(k2_funct_1(X0),sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22644,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_22849,plain,
v1_group_6(sK2,sK1,sK1),
inference(superposition,[status(thm)],[c_18035,c_22601]) ).
cnf(c_22897,plain,
v1_group_6(k2_funct_1(sK2),sK1,sK1),
inference(superposition,[status(thm)],[c_18035,c_22645]) ).
cnf(c_22899,plain,
v1_group_6(sP2_iProver_def,sK1,sK1),
inference(light_normalisation,[status(thm)],[c_22897,c_18029]) ).
cnf(c_23181,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,k1_autgroup(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_173]) ).
cnf(c_23184,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| m2_relset_1(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_23181,c_18027,c_18028]) ).
cnf(c_23185,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| m2_relset_1(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23184,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_23225,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,k1_autgroup(sK1))
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_175]) ).
cnf(c_23228,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v1_funct_2(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_23225,c_18027,c_18028]) ).
cnf(c_23229,plain,
( ~ m2_fraenkel(X0,sP0_iProver_def,sP0_iProver_def,sP1_iProver_def)
| v1_funct_2(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23228,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_23286,plain,
m2_relset_1(k2_funct_1(sK2),sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_18035,c_23185]) ).
cnf(c_23288,plain,
m2_relset_1(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_23286,c_18029]) ).
cnf(c_23302,plain,
v1_funct_2(k2_funct_1(sK2),sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_18035,c_23229]) ).
cnf(c_23304,plain,
v1_funct_2(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_23302,c_18029]) ).
cnf(c_23395,plain,
( ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| r2_hidden(X0,k1_autgroup(sK1))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_170]) ).
cnf(c_23397,plain,
( ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| r2_hidden(X0,sP1_iProver_def)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_23395,c_18027,c_18028]) ).
cnf(c_23398,plain,
( ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(X0)
| r2_hidden(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23397,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_23645,plain,
( ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ r2_hidden(X0,k1_autgroup(sK1))
| ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v4_group_6(X0,sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_171]) ).
cnf(c_23647,plain,
( ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ r2_hidden(X0,sP1_iProver_def)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v1_group_1(sK1)
| v4_group_6(X0,sK1,sK1)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_23645,c_18027,c_18028]) ).
cnf(c_23648,plain,
( ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ r2_hidden(X0,sP1_iProver_def)
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23647,c_18030,c_18031,c_18032,c_18033,c_18034]) ).
cnf(c_23727,plain,
( ~ v1_funct_2(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def)
| ~ v4_group_6(sP2_iProver_def,sK1,sK1)
| ~ v1_funct_1(sP2_iProver_def)
| r2_hidden(sP2_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_22899,c_23398]) ).
cnf(c_23728,plain,
( ~ v4_group_6(sP2_iProver_def,sK1,sK1)
| r2_hidden(sP2_iProver_def,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23727,c_22003,c_23288,c_23304]) ).
cnf(c_23777,plain,
( ~ v1_funct_2(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ r2_hidden(sK2,sP1_iProver_def)
| ~ v1_funct_1(sK2)
| v4_group_6(sK2,sK1,sK1) ),
inference(superposition,[status(thm)],[c_22849,c_23648]) ).
cnf(c_23784,plain,
v4_group_6(sK2,sK1,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_23777,c_21818,c_22001,c_21936,c_21973]) ).
cnf(c_23927,plain,
( ~ m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),u1_struct_0(sK1))
| ~ v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),sP0_iProver_def)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X0),X1,sK1)
| ~ v1_group_6(X0,sK1,X1)
| ~ v4_group_6(X0,sK1,X1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v4_group_6(k2_funct_1(X0),X1,sK1)
| v3_struct_0(X1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_178]) ).
cnf(c_23928,plain,
( ~ v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),sP0_iProver_def)
| ~ m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),sP0_iProver_def)
| ~ v1_funct_2(X0,sP0_iProver_def,u1_struct_0(X1))
| ~ m2_relset_1(X0,sP0_iProver_def,u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X0),X1,sK1)
| ~ v1_group_6(X0,sK1,X1)
| ~ v4_group_6(X0,sK1,X1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v4_group_6(k2_funct_1(X0),X1,sK1)
| v3_struct_0(X1)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_23927,c_18027]) ).
cnf(c_23929,plain,
( ~ v1_funct_2(k2_funct_1(X0),u1_struct_0(X1),sP0_iProver_def)
| ~ m2_relset_1(k2_funct_1(X0),u1_struct_0(X1),sP0_iProver_def)
| ~ v1_funct_2(X0,sP0_iProver_def,u1_struct_0(X1))
| ~ m2_relset_1(X0,sP0_iProver_def,u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X0),X1,sK1)
| ~ v1_group_6(X0,sK1,X1)
| ~ v4_group_6(X0,sK1,X1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_1(X0)
| v4_group_6(k2_funct_1(X0),X1,sK1)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23928,c_18030,c_18032,c_18033,c_18034]) ).
cnf(c_24101,plain,
( ~ m2_relset_1(k2_funct_1(X0),u1_struct_0(sK1),sP0_iProver_def)
| ~ v1_funct_2(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| ~ v1_funct_2(X0,sP0_iProver_def,u1_struct_0(sK1))
| ~ m2_relset_1(X0,sP0_iProver_def,u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(X0),sK1,sK1)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v4_group_6(k2_funct_1(X0),sK1,sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_18027,c_23929]) ).
cnf(c_24102,plain,
( ~ v1_funct_2(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(k2_funct_1(X0),sK1,sK1)
| ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v4_group_6(k2_funct_1(X0),sK1,sK1)
| v3_struct_0(sK1) ),
inference(light_normalisation,[status(thm)],[c_24101,c_18027]) ).
cnf(c_24103,plain,
( ~ v1_funct_2(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(k2_funct_1(X0),sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(k2_funct_1(X0),sK1,sK1)
| ~ v1_funct_2(X0,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(X0,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(X0,sK1,sK1)
| ~ v4_group_6(X0,sK1,sK1)
| ~ v1_funct_1(k2_funct_1(X0))
| ~ v1_funct_1(X0)
| v4_group_6(k2_funct_1(X0),sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24102,c_18030,c_18032,c_18033,c_18034]) ).
cnf(c_24153,plain,
( ~ v1_funct_2(k2_funct_1(sK2),sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(k2_funct_1(sK2),sP0_iProver_def,sP0_iProver_def)
| ~ v1_funct_2(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ v1_group_6(sP2_iProver_def,sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_1(sK2)
| v4_group_6(k2_funct_1(sK2),sK1,sK1) ),
inference(superposition,[status(thm)],[c_18029,c_24103]) ).
cnf(c_24164,plain,
( ~ v1_funct_2(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ v1_funct_2(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(sK2,sP0_iProver_def,sP0_iProver_def)
| ~ m2_relset_1(sP2_iProver_def,sP0_iProver_def,sP0_iProver_def)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ v1_group_6(sP2_iProver_def,sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_1(sP2_iProver_def)
| v4_group_6(sP2_iProver_def,sK1,sK1) ),
inference(light_normalisation,[status(thm)],[c_24153,c_18029]) ).
cnf(c_24165,plain,
v4_group_6(sP2_iProver_def,sK1,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_24164,c_22003,c_21818,c_23784,c_22899,c_22849,c_23288,c_21936,c_23304,c_21973]) ).
cnf(c_24317,plain,
r2_hidden(sP2_iProver_def,sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_23728,c_23728,c_24165]) ).
cnf(c_24321,plain,
m1_subset_1(sP2_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_24317,c_166]) ).
cnf(c_24322,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24321,c_21885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:48:29 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.74/1.67 % SZS status Started for theBenchmark.p
% 7.74/1.67 % SZS status Theorem for theBenchmark.p
% 7.74/1.67
% 7.74/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.74/1.67
% 7.74/1.67 ------ iProver source info
% 7.74/1.67
% 7.74/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.74/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.74/1.67 git: non_committed_changes: false
% 7.74/1.67
% 7.74/1.67 ------ Parsing...
% 7.74/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.74/1.67
% 7.74/1.67 ------ 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: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 7.74/1.67
% 7.74/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.74/1.67
% 7.74/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.74/1.67 ------ Proving...
% 7.74/1.67 ------ Problem Properties
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 clauses 130
% 7.74/1.67 conjectures 7
% 7.74/1.67 EPR 56
% 7.74/1.67 Horn 90
% 7.74/1.67 unary 54
% 7.74/1.67 binary 21
% 7.74/1.67 lits 444
% 7.74/1.67 lits eq 12
% 7.74/1.67 fd_pure 0
% 7.74/1.67 fd_pseudo 0
% 7.74/1.67 fd_cond 1
% 7.74/1.67 fd_pseudo_cond 5
% 7.74/1.67 AC symbols 0
% 7.74/1.67
% 7.74/1.67 ------ Schedule dynamic 5 is on
% 7.74/1.67
% 7.74/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 ------
% 7.74/1.67 Current options:
% 7.74/1.67 ------
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% 7.74/1.67 ------ Proving...
% 7.74/1.67
% 7.74/1.67
% 7.74/1.67 % SZS status Theorem for theBenchmark.p
% 7.74/1.67
% 7.74/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.74/1.67
% 7.74/1.67
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