TSTP Solution File: GRP641+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP641+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 : 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 : Wed Aug 31 16:17:28 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 19 unt; 0 def)
% Number of atoms : 440 ( 45 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 568 ( 226 ~; 237 |; 83 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 85 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f628,plain,
$false,
inference(subsumption_resolution,[],[f615,f190]) ).
fof(f190,plain,
~ r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),sK6)),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( l1_group_1(sK5)
& v4_group_1(sK5)
& v3_group_1(sK5)
& m1_group_2(sK6,sK5)
& v1_group_1(sK6)
& ~ r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),sK6))
& ~ v3_struct_0(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f81,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& v1_group_1(X1)
& ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) )
& ~ v3_struct_0(X0) )
=> ( l1_group_1(sK5)
& v4_group_1(sK5)
& v3_group_1(sK5)
& ? [X1] :
( m1_group_2(X1,sK5)
& v1_group_1(X1)
& ~ r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),X1)) )
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X1] :
( m1_group_2(X1,sK5)
& v1_group_1(X1)
& ~ r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),X1)) )
=> ( m1_group_2(sK6,sK5)
& v1_group_1(sK6)
& ~ r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& v1_group_1(X1)
& ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) )
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
& m1_group_2(X1,X0)
& v1_group_1(X1) )
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f615,plain,
r2_hidden(k2_group_1(sK5),k1_funct_1(k1_latsubgr(sK5),sK6)),
inference(backward_demodulation,[],[f473,f562]) ).
fof(f562,plain,
u1_struct_0(sK6) = k1_funct_1(k1_latsubgr(sK5),sK6),
inference(subsumption_resolution,[],[f560,f191]) ).
fof(f191,plain,
v1_group_1(sK6),
inference(cnf_transformation,[],[f136]) ).
fof(f560,plain,
( ~ v1_group_1(sK6)
| u1_struct_0(sK6) = k1_funct_1(k1_latsubgr(sK5),sK6) ),
inference(resolution,[],[f454,f192]) ).
fof(f192,plain,
m1_group_2(sK6,sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f454,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ v1_group_1(X0) ),
inference(subsumption_resolution,[],[f453,f194]) ).
fof(f194,plain,
v4_group_1(sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f453,plain,
! [X0] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ v4_group_1(sK5)
| ~ m1_group_2(X0,sK5)
| ~ v1_group_1(X0) ),
inference(subsumption_resolution,[],[f452,f189]) ).
fof(f189,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f452,plain,
! [X0] :
( v3_struct_0(sK5)
| ~ v1_group_1(X0)
| ~ v4_group_1(sK5)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ m1_group_2(X0,sK5) ),
inference(subsumption_resolution,[],[f451,f193]) ).
fof(f193,plain,
v3_group_1(sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f451,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ v3_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ m1_group_2(X0,sK5)
| v3_struct_0(sK5)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0) ),
inference(subsumption_resolution,[],[f450,f195]) ).
fof(f195,plain,
l1_group_1(sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f450,plain,
! [X0] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ l1_group_1(sK5)
| ~ v3_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ m1_group_2(X0,sK5)
| v3_struct_0(sK5)
| ~ v1_group_1(X0) ),
inference(resolution,[],[f449,f204]) ).
fof(f204,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( v3_struct_0(X0)
| ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f449,plain,
! [X0] :
( ~ v1_funct_1(k1_latsubgr(sK5))
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ m1_group_2(X0,sK5) ),
inference(subsumption_resolution,[],[f325,f260]) ).
fof(f260,plain,
v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))),
inference(subsumption_resolution,[],[f259,f193]) ).
fof(f259,plain,
( ~ v3_group_1(sK5)
| v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(subsumption_resolution,[],[f258,f189]) ).
fof(f258,plain,
( v3_struct_0(sK5)
| v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v3_group_1(sK5) ),
inference(subsumption_resolution,[],[f248,f194]) ).
fof(f248,plain,
( ~ v4_group_1(sK5)
| v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v3_group_1(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f195,f205]) ).
fof(f205,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f109]) ).
fof(f325,plain,
! [X0] :
( ~ m1_group_2(X0,sK5)
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v1_funct_1(k1_latsubgr(sK5)) ),
inference(subsumption_resolution,[],[f324,f194]) ).
fof(f324,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK5)
| ~ v1_funct_1(k1_latsubgr(sK5))
| ~ v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v4_group_1(sK5)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0) ),
inference(subsumption_resolution,[],[f323,f189]) ).
fof(f323,plain,
! [X0] :
( ~ v1_funct_1(k1_latsubgr(sK5))
| ~ v1_group_1(X0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ m1_group_2(X0,sK5)
| v3_struct_0(sK5)
| ~ v4_group_1(sK5)
| ~ v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(subsumption_resolution,[],[f322,f193]) ).
fof(f322,plain,
! [X0] :
( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ m1_group_2(X0,sK5)
| ~ v3_group_1(sK5)
| ~ v4_group_1(sK5)
| v3_struct_0(sK5)
| ~ v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v1_group_1(X0)
| ~ v1_funct_1(k1_latsubgr(sK5)) ),
inference(subsumption_resolution,[],[f318,f195]) ).
fof(f318,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ l1_group_1(sK5)
| ~ v1_funct_1(k1_latsubgr(sK5))
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK5),X0)
| ~ v1_funct_2(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v4_group_1(sK5)
| v3_struct_0(sK5)
| ~ m1_group_2(X0,sK5)
| ~ v3_group_1(sK5) ),
inference(resolution,[],[f257,f243]) ).
fof(f243,plain,
! [X3,X0] :
( ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X3,X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k1_funct_1(k1_latsubgr(X0),X3) = u1_struct_0(X3)
| ~ v4_group_1(X0)
| ~ v1_group_1(X3)
| ~ v3_group_1(X0) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,plain,
! [X3,X0,X1] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3)
| k1_latsubgr(X0) != X1
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ( m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1))
& k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1)) ) )
& ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f128,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(X1,X2) != u1_struct_0(X2) )
=> ( m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1))
& k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(X1,X2) != u1_struct_0(X2) ) )
& ( ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( ( k1_latsubgr(X0) = X1
| ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(X1,X2) != u1_struct_0(X2) ) )
& ( ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) ) )
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( v3_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0)
& v4_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( k1_latsubgr(X0) = X1
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f257,plain,
m2_relset_1(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))),
inference(subsumption_resolution,[],[f256,f194]) ).
fof(f256,plain,
( ~ v4_group_1(sK5)
| m2_relset_1(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(subsumption_resolution,[],[f255,f193]) ).
fof(f255,plain,
( m2_relset_1(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v3_group_1(sK5)
| ~ v4_group_1(sK5) ),
inference(subsumption_resolution,[],[f249,f189]) ).
fof(f249,plain,
( v3_struct_0(sK5)
| ~ v4_group_1(sK5)
| ~ v3_group_1(sK5)
| m2_relset_1(k1_latsubgr(sK5),k1_group_3(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(resolution,[],[f195,f206]) ).
fof(f206,plain,
! [X0] :
( ~ l1_group_1(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f473,plain,
r2_hidden(k2_group_1(sK5),u1_struct_0(sK6)),
inference(subsumption_resolution,[],[f472,f276]) ).
fof(f276,plain,
~ v3_struct_0(sK6),
inference(subsumption_resolution,[],[f275,f189]) ).
fof(f275,plain,
( v3_struct_0(sK5)
| ~ v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f274,f193]) ).
fof(f274,plain,
( ~ v3_group_1(sK5)
| ~ v3_struct_0(sK6)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f265,f195]) ).
fof(f265,plain,
( ~ l1_group_1(sK5)
| ~ v3_group_1(sK5)
| ~ v3_struct_0(sK6)
| v3_struct_0(sK5) ),
inference(resolution,[],[f192,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f472,plain,
( r2_hidden(k2_group_1(sK5),u1_struct_0(sK6))
| v3_struct_0(sK6) ),
inference(subsumption_resolution,[],[f469,f280]) ).
fof(f280,plain,
l1_struct_0(sK6),
inference(resolution,[],[f273,f170]) ).
fof(f170,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f273,plain,
l1_group_1(sK6),
inference(subsumption_resolution,[],[f272,f193]) ).
fof(f272,plain,
( l1_group_1(sK6)
| ~ v3_group_1(sK5) ),
inference(subsumption_resolution,[],[f271,f195]) ).
fof(f271,plain,
( ~ l1_group_1(sK5)
| l1_group_1(sK6)
| ~ v3_group_1(sK5) ),
inference(subsumption_resolution,[],[f264,f189]) ).
fof(f264,plain,
( v3_struct_0(sK5)
| ~ v3_group_1(sK5)
| l1_group_1(sK6)
| ~ l1_group_1(sK5) ),
inference(resolution,[],[f192,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f469,plain,
( ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| r2_hidden(k2_group_1(sK5),u1_struct_0(sK6)) ),
inference(resolution,[],[f363,f175]) ).
fof(f175,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f363,plain,
( v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(k2_group_1(sK5),u1_struct_0(sK6)) ),
inference(resolution,[],[f362,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f362,plain,
m1_subset_1(k2_group_1(sK5),u1_struct_0(sK6)),
inference(forward_demodulation,[],[f361,f270]) ).
fof(f270,plain,
k2_group_1(sK6) = k2_group_1(sK5),
inference(subsumption_resolution,[],[f269,f195]) ).
fof(f269,plain,
( ~ l1_group_1(sK5)
| k2_group_1(sK6) = k2_group_1(sK5) ),
inference(subsumption_resolution,[],[f268,f193]) ).
fof(f268,plain,
( ~ v3_group_1(sK5)
| ~ l1_group_1(sK5)
| k2_group_1(sK6) = k2_group_1(sK5) ),
inference(subsumption_resolution,[],[f267,f194]) ).
fof(f267,plain,
( ~ v4_group_1(sK5)
| ~ l1_group_1(sK5)
| k2_group_1(sK6) = k2_group_1(sK5)
| ~ v3_group_1(sK5) ),
inference(subsumption_resolution,[],[f266,f189]) ).
fof(f266,plain,
( v3_struct_0(sK5)
| ~ v3_group_1(sK5)
| k2_group_1(sK6) = k2_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ l1_group_1(sK5) ),
inference(resolution,[],[f192,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v4_group_1(X0)
| k2_group_1(X0) = k2_group_1(X1)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| k2_group_1(X0) = k2_group_1(X1) )
| ~ v4_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ~ m1_group_2(X1,X0)
| k2_group_1(X0) = k2_group_1(X1) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k2_group_1(X0) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_group_2) ).
fof(f361,plain,
m1_subset_1(k2_group_1(sK6),u1_struct_0(sK6)),
inference(subsumption_resolution,[],[f281,f276]) ).
fof(f281,plain,
( m1_subset_1(k2_group_1(sK6),u1_struct_0(sK6))
| v3_struct_0(sK6) ),
inference(resolution,[],[f273,f188]) ).
fof(f188,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.36 % Computer : n004.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Aug 29 22:35:50 EDT 2022
% 0.12/0.36 % CPUTime :
% 0.20/0.48 % (28871)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)
% 0.20/0.48 % (28879)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)
% 0.20/0.50 % (28871)Instruction limit reached!
% 0.20/0.50 % (28871)------------------------------
% 0.20/0.50 % (28871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28871)Termination reason: Unknown
% 0.20/0.50 % (28871)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (28871)Memory used [KB]: 6140
% 0.20/0.50 % (28871)Time elapsed: 0.074 s
% 0.20/0.50 % (28871)Instructions burned: 7 (million)
% 0.20/0.50 % (28871)------------------------------
% 0.20/0.50 % (28871)------------------------------
% 0.20/0.51 % (28879)First to succeed.
% 0.20/0.52 % (28879)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28879)------------------------------
% 0.20/0.52 % (28879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28879)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28879)Memory used [KB]: 1918
% 0.20/0.52 % (28879)Time elapsed: 0.088 s
% 0.20/0.52 % (28879)Instructions burned: 25 (million)
% 0.20/0.52 % (28879)------------------------------
% 0.20/0.52 % (28879)------------------------------
% 0.20/0.52 % (28855)Success in time 0.148 s
%------------------------------------------------------------------------------