TSTP Solution File: GRP631+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP631+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:00:53 EDT 2023
% Result : Theorem 219.50s 29.76s
% Output : CNFRefutation 219.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 182 ( 38 unt; 0 def)
% Number of atoms : 617 ( 109 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 759 ( 324 ~; 340 |; 76 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 325 ( 0 sgn; 159 !; 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] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k6_autgroup(X0,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
& k6_autgroup(X0,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k6_autgroup(X0,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
& k6_autgroup(X0,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relset_1) ).
fof(f29,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) )
& 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,[],[f2]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) )
& 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,[],[f90]) ).
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(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f128]) ).
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] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) )
& 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) )
=> ( ? [X1] :
( ( k6_autgroup(sK0,X1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,X1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,X1)) )
& m1_subset_1(X1,u1_struct_0(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] :
( ( k6_autgroup(sK0,X1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,X1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,X1)) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ( k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) )
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ( k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) )
& m1_subset_1(sK1,u1_struct_0(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,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f169]) ).
fof(f224,plain,
( k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0)))
| k6_autgroup(sK0,sK1) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) ),
inference(cnf_transformation,[],[f169]) ).
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(f265,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(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(f359,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_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(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)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(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_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_86,plain,
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| m2_relset_1(k7_relset_1(X1,X2,X4,X5,X0,X3),X1,X5) ),
inference(cnf_transformation,[],[f270]) ).
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_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_173,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f359]) ).
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_290,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_174]) ).
cnf(c_545,plain,
( ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X4,X5)
| m2_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2) ),
inference(bin_hyper_res,[status(thm)],[c_86,c_290]) ).
cnf(c_546,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_290]) ).
cnf(c_547,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_290]) ).
cnf(c_1390,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_1391,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_1390]) ).
cnf(c_1392,plain,
k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1391,c_54,c_53,c_52,c_51,c_55,c_265]) ).
cnf(c_1397,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_1398,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_1397]) ).
cnf(c_1399,plain,
m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1398,c_54,c_53,c_52,c_51,c_55,c_260]) ).
cnf(c_1404,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_1405,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_1404]) ).
cnf(c_1407,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_1405,c_54,c_53,c_51,c_55,c_1405]) ).
cnf(c_1408,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_1407]) ).
cnf(c_1656,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_1399]) ).
cnf(c_1657,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_1656]) ).
cnf(c_1659,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_1657,c_51,c_55,c_211,c_233,c_1657]) ).
cnf(c_1668,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_1399]) ).
cnf(c_1669,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_1668]) ).
cnf(c_1671,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_1669,c_51,c_55,c_211,c_233,c_1669]) ).
cnf(c_1672,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_1671]) ).
cnf(c_1680,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_1399]) ).
cnf(c_1681,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_1680]) ).
cnf(c_1683,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_1681,c_51,c_55,c_211,c_233,c_1681]) ).
cnf(c_1684,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_1683]) ).
cnf(c_2920,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_1408,c_1684]) ).
cnf(c_2921,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_2920]) ).
cnf(c_2929,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_1408,c_1672]) ).
cnf(c_2930,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_2929]) ).
cnf(c_2938,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_1408,c_1659]) ).
cnf(c_2939,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v1_funct_1(k6_autgroup(sK0,X0)) ),
inference(unflattening,[status(thm)],[c_2938]) ).
cnf(c_5423,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_174]) ).
cnf(c_5892,plain,
( ~ m2_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X4,X5)
| m2_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2) ),
inference(bin_hyper_res,[status(thm)],[c_545,c_5423]) ).
cnf(c_5893,plain,
( ~ m2_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_547,c_5423]) ).
cnf(c_8294,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_1392,c_2921]) ).
cnf(c_8295,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_1392,c_2930]) ).
cnf(c_8300,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_2939]) ).
cnf(c_8301,plain,
v1_funct_1(k6_autgroup(sK0,k2_group_1(sK0))),
inference(global_subsumption_just,[status(thm)],[c_8300,c_51,c_55,c_8300]) ).
cnf(c_8303,plain,
v1_funct_1(k6_relat_1(u1_struct_0(sK0))),
inference(superposition,[status(thm)],[c_1392,c_8301]) ).
cnf(c_8344,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_1392,c_2921]) ).
cnf(c_8346,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_8344,c_51,c_55,c_239,c_8294]) ).
cnf(c_8359,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m1_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_2921,c_174]) ).
cnf(c_8360,plain,
m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[status(thm)],[c_8346,c_174]) ).
cnf(c_8432,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| m2_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_2921]) ).
cnf(c_9534,plain,
( ~ m2_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0))
| m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_144158,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(superposition,[status(thm)],[c_1392,c_49]) ).
cnf(c_144159,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(superposition,[status(thm)],[c_1392,c_144158]) ).
cnf(c_144164,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_1392,c_2921]) ).
cnf(c_144165,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_1392,c_2930]) ).
cnf(c_144166,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_144164,c_51,c_55,c_239,c_8294]) ).
cnf(c_144168,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_144165,c_51,c_55,c_239,c_8295]) ).
cnf(c_144220,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,X0) ),
inference(superposition,[status(thm)],[c_2921,c_177]) ).
cnf(c_144234,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k6_autgroup(sK0,X0) ),
inference(superposition,[status(thm)],[c_2921,c_178]) ).
cnf(c_144247,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_144220]) ).
cnf(c_144250,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_144234]) ).
cnf(c_144617,plain,
( ~ m2_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X4,X5)
| m1_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2) ),
inference(superposition,[status(thm)],[c_5892,c_174]) ).
cnf(c_144627,plain,
( ~ m2_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_144250,c_144617]) ).
cnf(c_144698,plain,
m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_144627,c_50,c_8432,c_9534]) ).
cnf(c_144700,plain,
m2_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(superposition,[status(thm)],[c_144698,c_173]) ).
cnf(c_145014,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_80,c_5893]) ).
cnf(c_145021,plain,
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(sK0))
| k7_relset_1(X1,X2,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_autgroup(sK0,X3)) = k5_relat_1(X0,k6_autgroup(sK0,X3)) ),
inference(superposition,[status(thm)],[c_2921,c_5893]) ).
cnf(c_145096,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X0,X0,k6_autgroup(sK0,sK1),k6_relat_1(X0)) = k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(X0)),
inference(superposition,[status(thm)],[c_144700,c_145014]) ).
cnf(c_145272,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) ),
inference(superposition,[status(thm)],[c_144166,c_145021]) ).
cnf(c_145388,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)),
inference(superposition,[status(thm)],[c_50,c_145272]) ).
cnf(c_145395,plain,
k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_145388,c_144250]) ).
cnf(c_146510,plain,
k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_145096,c_144247]) ).
cnf(c_268627,plain,
( ~ m1_relset_1(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,X2,u1_struct_0(sK0))
| ~ m2_relset_1(X1,X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_funct_1(k6_autgroup(sK0,X0))
| ~ v1_funct_1(X1)
| k7_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,X0)) = k5_relat_1(X1,k6_autgroup(sK0,X0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_2930,c_546]) ).
cnf(c_268632,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(X0,k6_relat_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_144168,c_546]) ).
cnf(c_268716,plain,
( k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(X0,k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_268632,c_51,c_55,c_211,c_233,c_8303,c_8360,c_268632]) ).
cnf(c_268717,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(X0,k6_relat_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_268716]) ).
cnf(c_268727,plain,
( ~ v1_funct_2(k6_autgroup(sK0,X0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_funct_1(k6_autgroup(sK0,X0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) ),
inference(superposition,[status(thm)],[c_2921,c_268717]) ).
cnf(c_269715,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,X0),k6_relat_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_268727,c_2930,c_2939,c_268727]) ).
cnf(c_269718,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))),
inference(superposition,[status(thm)],[c_50,c_269715]) ).
cnf(c_270986,plain,
( k7_funct_2(X2,u1_struct_0(sK0),u1_struct_0(sK0),X1,k6_autgroup(sK0,X0)) = k5_relat_1(X1,k6_autgroup(sK0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,u1_struct_0(sK0))
| ~ m2_relset_1(X1,X2,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_268627,c_51,c_55,c_211,c_233,c_2939,c_8359,c_268627]) ).
cnf(c_270987,plain,
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m2_relset_1(X0,X1,u1_struct_0(sK0))
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,k6_autgroup(sK0,X2)) = k5_relat_1(X0,k6_autgroup(sK0,X2)) ),
inference(renaming,[status(thm)],[c_270986]) ).
cnf(c_271000,plain,
( ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,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),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) ),
inference(superposition,[status(thm)],[c_144166,c_270987]) ).
cnf(c_272915,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_271000,c_51,c_55,c_239,c_8295,c_8303,c_271000]) ).
cnf(c_272918,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)),
inference(superposition,[status(thm)],[c_50,c_272915]) ).
cnf(c_272942,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1)
| k5_relat_1(k6_relat_1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(superposition,[status(thm)],[c_272918,c_144159]) ).
cnf(c_272986,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_272942,c_145395,c_272942]) ).
cnf(c_272988,plain,
k5_relat_1(k6_autgroup(sK0,sK1),k6_relat_1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1),
inference(superposition,[status(thm)],[c_269718,c_272986]) ).
cnf(c_272989,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_272988,c_146510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP631+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 19:52:53 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 219.50/29.76 % SZS status Started for theBenchmark.p
% 219.50/29.76 % SZS status Theorem for theBenchmark.p
% 219.50/29.76
% 219.50/29.76 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 219.50/29.76
% 219.50/29.76 ------ iProver source info
% 219.50/29.76
% 219.50/29.76 git: date: 2023-05-31 18:12:56 +0000
% 219.50/29.76 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 219.50/29.76 git: non_committed_changes: false
% 219.50/29.76 git: last_make_outside_of_git: false
% 219.50/29.76
% 219.50/29.76 ------ Parsing...
% 219.50/29.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 219.50/29.76
% 219.50/29.76 ------ Preprocessing... sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 219.50/29.76
% 219.50/29.76 ------ Preprocessing... gs_s sp: 12 0s gs_e snvd_s sp: 0 0s snvd_e
% 219.50/29.76
% 219.50/29.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 219.50/29.76 ------ Proving...
% 219.50/29.76 ------ Problem Properties
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 clauses 184
% 219.50/29.76 conjectures 5
% 219.50/29.76 EPR 40
% 219.50/29.76 Horn 169
% 219.50/29.76 unary 69
% 219.50/29.76 binary 48
% 219.50/29.76 lits 398
% 219.50/29.76 lits eq 71
% 219.50/29.76 fd_pure 0
% 219.50/29.76 fd_pseudo 0
% 219.50/29.76 fd_cond 1
% 219.50/29.76 fd_pseudo_cond 3
% 219.50/29.76 AC symbols 0
% 219.50/29.76
% 219.50/29.76 ------ Input Options Time Limit: Unbounded
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------
% 219.50/29.76 Current options:
% 219.50/29.76 ------
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 ------ Proving...
% 219.50/29.76
% 219.50/29.76
% 219.50/29.76 % SZS status Theorem for theBenchmark.p
% 219.50/29.76
% 219.50/29.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 219.50/29.77
% 219.50/29.77
%------------------------------------------------------------------------------