TSTP Solution File: GRP632+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:23:10 EDT 2024
% Result : Theorem 24.45s 4.22s
% Output : CNFRefutation 24.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 179 ( 45 unt; 0 def)
% Number of atoms : 624 ( 114 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 761 ( 316 ~; 337 |; 88 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 288 ( 1 sgn 149 !; 8 ?)
% 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),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_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),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f24,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f25,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f47,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f50,axiom,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f72,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f75,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f76,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f86,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_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(f91,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f118,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f119,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f121,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f125,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f132,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,[],[f34]) ).
fof(f133,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,[],[f132]) ).
fof(f142,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f150]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f156,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f76]) ).
fof(f157,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f156]) ).
fof(f167,plain,
( ? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,k2_group_1(sK0))) != X1
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X1] :
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,k2_group_1(sK0))) != X1
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),X1) != X1 )
& m2_fraenkel(X1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) )
=> ( ( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))
| sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) )
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))
| sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) )
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f91,f168,f167]) ).
fof(f217,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(f218,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f219,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f220,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f221,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f222,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f223,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f169]) ).
fof(f224,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))
| sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f231,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f260,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f261,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f263,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f264,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f265,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f271,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,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,[],[f133]) ).
fof(f275,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,[],[f133]) ).
fof(f276,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,[],[f133]) ).
fof(f292,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f297,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f353,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f355,plain,
! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f358,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f362,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f363,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f364,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f157]) ).
fof(f372,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f265,f353]) ).
fof(f373,plain,
! [X0] : v1_partfun1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f264,f353]) ).
fof(f374,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f363,f353]) ).
fof(f375,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f362,f353]) ).
fof(f376,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(definition_unfolding,[],[f364,f353]) ).
cnf(c_49,negated_conjecture,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) != sK1
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0))) != sK1 ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_50,negated_conjecture,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f223]) ).
cnf(c_51,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f222]) ).
cnf(c_52,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f221]) ).
cnf(c_53,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f220]) ).
cnf(c_54,negated_conjecture,
v1_group_1(sK0),
inference(cnf_transformation,[],[f219]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f218]) ).
cnf(c_61,plain,
( ~ v1_partfun1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_76,plain,
( ~ l1_group_1(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_77,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_79,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| m2_fraenkel(k6_autgroup(X1,X0),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_80,plain,
m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f372]) ).
cnf(c_81,plain,
v1_partfun1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f373]) ).
cnf(c_87,plain,
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_90,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,[],[f276]) ).
cnf(c_91,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,[],[f275]) ).
cnf(c_92,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_1(X0)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_108,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_115,plain,
v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f297]) ).
cnf(c_169,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X2,X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_170,plain,
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X2,X4,X5,X0,X3) = k5_relat_1(X0,X3) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_174,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_177,plain,
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,X2,X2,X0,k6_relat_1(X2)) = X0 ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_178,plain,
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X1,X1,X2,k6_relat_1(X1),X0) = X0 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_179,plain,
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_211,plain,
( ~ l1_group_1(sK0)
| l1_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_233,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_239,plain,
( ~ l1_group_1(sK0)
| m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_260,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_265,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_279,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_174]) ).
cnf(c_526,plain,
( ~ v1_partfun1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_61,c_279]) ).
cnf(c_537,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ m1_relset_1(X3,X2,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X3)
| k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3)
| v1_xboole_0(X2) ),
inference(bin_hyper_res,[status(thm)],[c_169,c_279]) ).
cnf(c_538,plain,
( ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X4,X5)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k5_relat_1(X3,X0) ),
inference(bin_hyper_res,[status(thm)],[c_170,c_279]) ).
cnf(c_644,plain,
( k6_relat_1(X0) != X1
| X0 != X2
| X0 != X3
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_1(X1)
| v1_funct_2(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_526,c_81]) ).
cnf(c_645,plain,
( ~ m2_relset_1(k6_relat_1(X0),X0,X0)
| ~ v1_funct_1(k6_relat_1(X0))
| v1_funct_2(k6_relat_1(X0),X0,X0) ),
inference(unflattening,[status(thm)],[c_644]) ).
cnf(c_647,plain,
v1_funct_2(k6_relat_1(X0),X0,X0),
inference(global_subsumption_just,[status(thm)],[c_645,c_115,c_80,c_645]) ).
cnf(c_768,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_179]) ).
cnf(c_769,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_768]) ).
cnf(c_770,plain,
k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_769,c_54,c_53,c_52,c_51,c_55,c_265]) ).
cnf(c_775,plain,
( X0 != sK0
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_77]) ).
cnf(c_776,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_775]) ).
cnf(c_777,plain,
m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_776,c_54,c_53,c_52,c_51,c_55,c_260]) ).
cnf(c_782,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_79]) ).
cnf(c_783,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_782]) ).
cnf(c_785,plain,
( m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_783,c_54,c_53,c_51,c_55,c_783]) ).
cnf(c_786,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m2_fraenkel(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(renaming,[status(thm)],[c_785]) ).
cnf(c_1034,plain,
( u1_struct_0(sK0) != X0
| u1_struct_0(sK0) != X1
| k4_autgroup(sK0) != X2
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_92,c_777]) ).
cnf(c_1035,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| v1_funct_1(X0) ),
inference(unflattening,[status(thm)],[c_1034]) ).
cnf(c_1037,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1035,c_51,c_55,c_211,c_233,c_1035]) ).
cnf(c_1046,plain,
( u1_struct_0(sK0) != X0
| u1_struct_0(sK0) != X1
| k4_autgroup(sK0) != X2
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_91,c_777]) ).
cnf(c_1047,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_1046]) ).
cnf(c_1049,plain,
( v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1047,c_51,c_55,c_211,c_233,c_1047]) ).
cnf(c_1050,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_1049]) ).
cnf(c_1058,plain,
( u1_struct_0(sK0) != X0
| u1_struct_0(sK0) != X1
| k4_autgroup(sK0) != X2
| ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_90,c_777]) ).
cnf(c_1059,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_1058]) ).
cnf(c_1061,plain,
( m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_1059,c_51,c_55,c_211,c_233,c_1059]) ).
cnf(c_1062,plain,
( ~ m2_fraenkel(X0,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_1061]) ).
cnf(c_2278,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| X0 != sK1
| m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1062]) ).
cnf(c_2279,plain,
m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_2278]) ).
cnf(c_2283,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| X0 != sK1
| v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1050]) ).
cnf(c_2284,plain,
v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)),
inference(unflattening,[status(thm)],[c_2283]) ).
cnf(c_2288,plain,
( u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| X0 != sK1
| v1_funct_1(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_1037]) ).
cnf(c_2289,plain,
v1_funct_1(sK1),
inference(unflattening,[status(thm)],[c_2288]) ).
cnf(c_2393,plain,
( k6_autgroup(sK0,X0) != X1
| u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution_lifted,[status(thm)],[c_786,c_1062]) ).
cnf(c_2394,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m2_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2393]) ).
cnf(c_2402,plain,
( k6_autgroup(sK0,X0) != X1
| u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution_lifted,[status(thm)],[c_786,c_1050]) ).
cnf(c_2403,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v1_funct_2(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_2402]) ).
cnf(c_2411,plain,
( k6_autgroup(sK0,X0) != X1
| u1_struct_0(sK0) != u1_struct_0(sK0)
| k4_autgroup(sK0) != k4_autgroup(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v1_funct_1(X1) ),
inference(resolution_lifted,[status(thm)],[c_786,c_1037]) ).
cnf(c_2412,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v1_funct_1(k6_autgroup(sK0,X0)) ),
inference(unflattening,[status(thm)],[c_2411]) ).
cnf(c_6182,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| v1_funct_1(k6_autgroup(sK0,k2_group_1(sK0))) ),
inference(instantiation,[status(thm)],[c_2412]) ).
cnf(c_6472,plain,
m1_relset_1(k6_relat_1(X0),X0,X0),
inference(superposition,[status(thm)],[c_80,c_174]) ).
cnf(c_6474,plain,
m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[status(thm)],[c_2279,c_174]) ).
cnf(c_6625,plain,
( ~ l1_group_1(sK0)
| v1_funct_1(k6_autgroup(sK0,k2_group_1(sK0)))
| v3_struct_0(sK0) ),
inference(superposition,[status(thm)],[c_76,c_2412]) ).
cnf(c_6630,plain,
v1_funct_1(k6_autgroup(sK0,k2_group_1(sK0))),
inference(global_subsumption_just,[status(thm)],[c_6625,c_51,c_55,c_239,c_6182]) ).
cnf(c_6632,plain,
v1_funct_1(k6_relat_1(u1_struct_0(sK0))),
inference(light_normalisation,[status(thm)],[c_6630,c_770]) ).
cnf(c_7148,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_770,c_2403]) ).
cnf(c_7149,plain,
v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_7148,c_51,c_55,c_239,c_7148]) ).
cnf(c_7161,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_770,c_2394]) ).
cnf(c_7164,plain,
m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_7161,c_51,c_55,c_239,c_7161]) ).
cnf(c_7469,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = sK1,
inference(superposition,[status(thm)],[c_2279,c_178]) ).
cnf(c_7633,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0))) = sK1,
inference(superposition,[status(thm)],[c_2279,c_177]) ).
cnf(c_8479,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0))) != sK1
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) != sK1 ),
inference(superposition,[status(thm)],[c_770,c_49]) ).
cnf(c_8480,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) != sK1
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0))) != sK1 ),
inference(light_normalisation,[status(thm)],[c_8479,c_770]) ).
cnf(c_8680,plain,
( ~ m2_relset_1(k6_relat_1(X0),X0,X0)
| ~ v1_funct_2(X1,X0,X2)
| ~ m1_relset_1(X1,X0,X2)
| ~ v1_funct_1(k6_relat_1(X0))
| ~ v1_funct_1(X1)
| k7_funct_2(X0,X0,X2,k6_relat_1(X0),X1) = k5_relat_1(k6_relat_1(X0),X1)
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_647,c_537]) ).
cnf(c_8686,plain,
( ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) = k5_relat_1(sK1,X0)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_2284,c_537]) ).
cnf(c_8699,plain,
( ~ m1_relset_1(X1,X0,X2)
| ~ v1_funct_2(X1,X0,X2)
| ~ v1_funct_1(X1)
| k7_funct_2(X0,X0,X2,k6_relat_1(X0),X1) = k5_relat_1(k6_relat_1(X0),X1)
| v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8680,c_115,c_80,c_8680]) ).
cnf(c_8700,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| k7_funct_2(X1,X1,X2,k6_relat_1(X1),X0) = k5_relat_1(k6_relat_1(X1),X0)
| v1_xboole_0(X1) ),
inference(renaming,[status(thm)],[c_8699]) ).
cnf(c_8707,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) = k5_relat_1(sK1,X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8686,c_51,c_55,c_211,c_233,c_2279,c_2289,c_8686]) ).
cnf(c_8708,plain,
( ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) = k5_relat_1(sK1,X0) ),
inference(renaming,[status(thm)],[c_8707]) ).
cnf(c_9249,plain,
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)) = k5_relat_1(X0,k6_relat_1(X3)) ),
inference(superposition,[status(thm)],[c_6472,c_538]) ).
cnf(c_9271,plain,
( ~ m2_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) = k5_relat_1(X0,sK1) ),
inference(superposition,[status(thm)],[c_6474,c_538]) ).
cnf(c_11018,plain,
m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[status(thm)],[c_7164,c_174]) ).
cnf(c_15965,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) ),
inference(superposition,[status(thm)],[c_7149,c_8708]) ).
cnf(c_15977,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))),
inference(global_subsumption_just,[status(thm)],[c_15965,c_6632,c_11018,c_15965]) ).
cnf(c_16030,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) != sK1
| k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) != sK1 ),
inference(demodulation,[status(thm)],[c_8480,c_15977]) ).
cnf(c_16417,plain,
( ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_2284,c_8700]) ).
cnf(c_16444,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1),
inference(global_subsumption_just,[status(thm)],[c_16417,c_51,c_55,c_211,c_233,c_2289,c_6474,c_16417]) ).
cnf(c_20334,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X0,X0,sK1,k6_relat_1(X0)) = k5_relat_1(sK1,k6_relat_1(X0)),
inference(superposition,[status(thm)],[c_2279,c_9249]) ).
cnf(c_20446,plain,
k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) = sK1,
inference(demodulation,[status(thm)],[c_7633,c_20334]) ).
cnf(c_20641,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1),
inference(superposition,[status(thm)],[c_7164,c_9271]) ).
cnf(c_20651,plain,
k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1) = sK1,
inference(light_normalisation,[status(thm)],[c_20641,c_7469]) ).
cnf(c_20708,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = sK1,
inference(demodulation,[status(thm)],[c_16444,c_20651]) ).
cnf(c_20709,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20708,c_20446,c_16030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP632+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:46:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.45/4.22 % SZS status Started for theBenchmark.p
% 24.45/4.22 % SZS status Theorem for theBenchmark.p
% 24.45/4.22
% 24.45/4.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.45/4.22
% 24.45/4.22 ------ iProver source info
% 24.45/4.22
% 24.45/4.22 git: date: 2024-05-02 19:28:25 +0000
% 24.45/4.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.45/4.22 git: non_committed_changes: false
% 24.45/4.22
% 24.45/4.22 ------ Parsing...
% 24.45/4.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.45/4.22
% 24.45/4.22 ------ Preprocessing... sf_s rm: 26 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 24.45/4.22
% 24.45/4.22 ------ Preprocessing... gs_s sp: 12 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e
% 24.45/4.22
% 24.45/4.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.45/4.22 ------ Proving...
% 24.45/4.22 ------ Problem Properties
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22 clauses 192
% 24.45/4.22 conjectures 4
% 24.45/4.22 EPR 42
% 24.45/4.22 Horn 177
% 24.45/4.22 unary 72
% 24.45/4.22 binary 50
% 24.45/4.22 lits 415
% 24.45/4.22 lits eq 78
% 24.45/4.22 fd_pure 0
% 24.45/4.22 fd_pseudo 0
% 24.45/4.22 fd_cond 1
% 24.45/4.22 fd_pseudo_cond 3
% 24.45/4.22 AC symbols 0
% 24.45/4.22
% 24.45/4.22 ------ Input Options Time Limit: Unbounded
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22 ------
% 24.45/4.22 Current options:
% 24.45/4.22 ------
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22 ------ Proving...
% 24.45/4.22
% 24.45/4.22
% 24.45/4.22 % SZS status Theorem for theBenchmark.p
% 24.45/4.22
% 24.45/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.45/4.22
% 24.45/4.23
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