TSTP Solution File: GRP640+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 16:17:27 EDT 2022
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 11 unt; 0 def)
% Number of atoms : 509 ( 56 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 686 ( 237 ~; 221 |; 194 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 138 ( 90 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f361,plain,
$false,
inference(subsumption_resolution,[],[f360,f155]) ).
fof(f155,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( v4_group_1(sK0)
& l1_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1)
& ~ v3_struct_0(sK1)
& m1_group_2(sK2,sK0)
& m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4)
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& sK5 = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& m1_group_2(sK3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f77,f108,f107,f106,f105,f104,f103]) ).
fof(f103,plain,
( ? [X0] :
( v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_group_2(X2,X0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) ) ) ) )
=> ( v4_group_1(sK0)
& l1_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0)
& ? [X1] :
( v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_group_2(X2,sK0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1)) )
& m1_group_2(X3,sK0) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X1] :
( v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_group_2(X2,sK0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(X1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(sK0,X5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(sK0,X2,X3)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(X1)) )
& m1_group_2(X3,sK0) ) ) )
=> ( v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1)
& ~ v3_struct_0(sK1)
& ? [X2] :
( m1_group_2(X2,sK0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
& m1_group_2(X3,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X2] :
( m1_group_2(X2,sK0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,X2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
& m1_group_2(X3,sK0) ) )
=> ( m1_group_2(sK2,sK0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
& m1_group_2(X3,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,X3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
& m1_group_2(X3,sK0) )
=> ( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
& m1_group_2(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),X4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5 )
& v1_funct_2(X4,u1_struct_0(sK0),u1_struct_0(sK1)) )
=> ( m2_relset_1(sK4,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_funct_1(sK4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5 )
& v1_funct_2(sK4,u1_struct_0(sK0),u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,X5)))
& k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) = X5 )
=> ( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
& k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3)))
& sK5 = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( v4_group_1(X0)
& l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( m1_group_2(X2,X0)
& ? [X3] :
( ? [X4] :
( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5 )
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) ) ) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& ~ v3_struct_0(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) = X5
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f360,plain,
~ v4_group_1(sK0),
inference(subsumption_resolution,[],[f359,f154]) ).
fof(f154,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f359,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(subsumption_resolution,[],[f358,f152]) ).
fof(f152,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f358,plain,
( v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(subsumption_resolution,[],[f357,f153]) ).
fof(f153,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f357,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f356,f147]) ).
fof(f147,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f356,plain,
( ~ m1_group_2(sK2,sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(subsumption_resolution,[],[f355,f144]) ).
fof(f144,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f109]) ).
fof(f355,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK2,sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f351,f140]) ).
fof(f140,plain,
m1_group_2(sK3,sK0),
inference(cnf_transformation,[],[f109]) ).
fof(f351,plain,
( ~ m1_group_2(sK3,sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK2,sK0)
| ~ v4_group_1(sK0) ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_group_2(sK2,sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(sK3,sK0)
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) ),
inference(superposition,[],[f143,f334]) ).
fof(f334,plain,
! [X1] :
( k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| ~ l1_group_1(X1)
| ~ m1_group_2(sK3,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(sK2,X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(subsumption_resolution,[],[f333,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( m1_group_2(k8_group_4(X1,X0,X2),X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X0,X1)
| ( m1_group_2(k8_group_4(X1,X0,X2),X1)
& v1_group_1(k8_group_4(X1,X0,X2)) )
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v3_group_1(X1) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0] :
( ~ v4_group_1(X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ( m1_group_2(k8_group_4(X1,X2,X0),X1)
& v1_group_1(k8_group_4(X1,X2,X0)) )
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v3_group_1(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ( m1_group_2(k8_group_4(X1,X2,X0),X1)
& v1_group_1(k8_group_4(X1,X2,X0)) )
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ( v4_group_1(X1)
& m1_group_2(X2,X1)
& l1_group_1(X1)
& m1_group_2(X0,X1)
& ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ( m1_group_2(k8_group_4(X1,X2,X0),X1)
& v1_group_1(k8_group_4(X1,X2,X0)) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X2,X0,X1] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& m1_group_2(X1,X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& m1_group_2(X2,X0) )
=> ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f333,plain,
! [X1] :
( ~ m1_group_2(k8_group_4(X1,sK2,sK3),X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ m1_group_2(sK2,X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| ~ m1_group_2(sK3,X1) ),
inference(subsumption_resolution,[],[f332,f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(X1,X0,X2))
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X0,X1)
| ~ v3_group_1(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f332,plain,
! [X1] :
( ~ l1_group_1(X1)
| ~ v1_group_1(k8_group_4(X1,sK2,sK3))
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(sK3,X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(sK2,X1)
| ~ m1_group_2(k8_group_4(X1,sK2,sK3),X1) ),
inference(subsumption_resolution,[],[f331,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_group_1(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v3_group_1(X0) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f331,plain,
! [X1] :
( ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(sK3,X1)
| ~ m1_group_2(k5_group_4(X1,sK5),X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1)))
| k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| ~ m1_group_2(k8_group_4(X1,sK2,sK3),X1)
| ~ m1_group_2(sK2,X1)
| ~ v1_group_1(k8_group_4(X1,sK2,sK3))
| v3_struct_0(X1)
| ~ v4_group_1(X1) ),
inference(subsumption_resolution,[],[f330,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_group_1(k5_group_4(X0,X1))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f330,plain,
! [X1] :
( ~ v1_group_1(k8_group_4(X1,sK2,sK3))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(sK3,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(k8_group_4(X1,sK2,sK3),X1)
| ~ m1_group_2(sK2,X1)
| k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| v3_struct_0(X1)
| ~ v1_group_1(k5_group_4(X1,sK5))
| ~ m1_group_2(k5_group_4(X1,sK5),X1)
| ~ v4_group_1(X1) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
! [X1] :
( ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(sK3,X1)
| k8_group_4(X1,sK2,sK3) = k5_group_4(X1,sK5)
| ~ m1_group_2(k8_group_4(X1,sK2,sK3),X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(k5_group_4(X1,sK5))
| ~ m1_group_2(sK2,X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(k5_group_4(X1,sK5),X1)
| ~ v1_group_1(k8_group_4(X1,sK2,sK3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(resolution,[],[f312,f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X1,X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| X1 = X2
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X2,X0)
| ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X2,X1,X0] :
( ~ v3_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X0)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X0,X2)
| ( ( r1_group_2(X2,X1,X0)
| X0 != X1 )
& ( X0 = X1
| ~ r1_group_2(X2,X1,X0) ) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X2,X1,X0] :
( ~ v3_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X0)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X0,X2)
| ( r1_group_2(X2,X1,X0)
<=> X0 = X1 ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X2,X1,X0] :
( ( r1_group_2(X2,X1,X0)
<=> X0 = X1 )
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X0)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X0,X2)
| ~ v1_group_1(X1)
| ~ v3_group_1(X2)
| v3_struct_0(X2) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X2,X1,X0] :
( ( m1_group_2(X1,X2)
& v1_group_1(X0)
& v4_group_1(X2)
& l1_group_1(X2)
& m1_group_2(X0,X2)
& v1_group_1(X1)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ( r1_group_2(X2,X1,X0)
<=> X0 = X1 ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X2,X1,X0] :
( ( v1_group_1(X1)
& v1_group_1(X2)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& m1_group_2(X1,X0)
& v3_group_1(X0)
& m1_group_2(X2,X0)
& l1_group_1(X0) )
=> ( X1 = X2
<=> r1_group_2(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f312,plain,
! [X0] :
( r1_group_2(X0,k8_group_4(X0,sK2,sK3),k5_group_4(X0,sK5))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(sK2,X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ m1_group_2(sK3,X0)
| ~ l1_group_1(X0) ),
inference(superposition,[],[f191,f142]) ).
fof(f142,plain,
sK5 = k2_xboole_0(u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f109]) ).
fof(f191,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3 )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = X3
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsubgr) ).
fof(f143,plain,
k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k5_group_4(sK0,sK5))) != k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK4,u1_struct_0(k8_group_4(sK0,sK2,sK3))),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n017.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 29 22:02:19 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (25573)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46 % (25572)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.46 % (25589)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.46 % (25587)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.46 % (25580)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (25581)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (25579)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.47 % (25571)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48 % (25588)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.49 % (25579)Instruction limit reached!
% 0.15/0.49 % (25579)------------------------------
% 0.15/0.49 % (25579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (25579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (25579)Termination reason: Unknown
% 0.15/0.49 % (25579)Termination phase: Preprocessing 3
% 0.15/0.49
% 0.15/0.49 % (25579)Memory used [KB]: 1535
% 0.15/0.49 % (25579)Time elapsed: 0.004 s
% 0.15/0.49 % (25579)Instructions burned: 3 (million)
% 0.15/0.49 % (25579)------------------------------
% 0.15/0.49 % (25579)------------------------------
% 0.15/0.49 % (25571)First to succeed.
% 0.15/0.49 % (25580)Instruction limit reached!
% 0.15/0.49 % (25580)------------------------------
% 0.15/0.49 % (25580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (25571)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (25571)------------------------------
% 0.15/0.49 % (25571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (25571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (25571)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (25571)Memory used [KB]: 6268
% 0.15/0.49 % (25571)Time elapsed: 0.109 s
% 0.15/0.49 % (25571)Instructions burned: 13 (million)
% 0.15/0.49 % (25571)------------------------------
% 0.15/0.49 % (25571)------------------------------
% 0.15/0.49 % (25564)Success in time 0.181 s
%------------------------------------------------------------------------------