TSTP Solution File: GRP618+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP618+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 : n010.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 16:16:42 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 110 ( 7 unt; 0 def)
% Number of atoms : 672 ( 0 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 916 ( 354 ~; 394 |; 127 &)
% ( 11 <=>; 28 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 112 ( 72 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[f170,f175,f180,f184,f189,f251,f260,f269,f278,f299]) ).
fof(f299,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f297,f174]) ).
fof(f174,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl14_3
<=> m1_subset_1(sK5,u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f297,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl14_1
| ~ spl14_2
| spl14_4
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f296,f133]) ).
fof(f133,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( l1_group_1(sK2)
& ( ~ v1_group_3(sK3,sK2)
| ( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m1_subset_1(sK5,u1_struct_0(sK2))
& m1_subset_1(sK4,u1_struct_0(sK2)) ) )
& ( v1_group_3(sK3,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(sK3,sK2)
& v3_group_1(sK2)
& ~ v3_struct_0(sK2)
& v1_group_1(sK2)
& v4_group_1(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f94,f98,f97,f96,f95]) ).
fof(f95,plain,
( ? [X0] :
( l1_group_1(X0)
& ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) )
=> ( l1_group_1(sK2)
& ? [X1] :
( ( ~ v1_group_3(X1,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(X1,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(X1,sK2) )
& v3_group_1(sK2)
& ~ v3_struct_0(sK2)
& v1_group_1(sK2)
& v4_group_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X1] :
( ( ~ v1_group_3(X1,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(X1,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(X1,sK2) )
=> ( ( ~ v1_group_3(sK3,sK2)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) ) )
& ( v1_group_3(sK3,sK2)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X5,u1_struct_0(sK2)) )
| ~ m1_subset_1(X4,u1_struct_0(sK2)) ) )
& m1_group_2(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(X2,u1_struct_0(sK2)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,sK4))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
& m1_subset_1(sK4,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X3] :
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,X3,sK4))
& m1_subset_1(X3,u1_struct_0(sK3))
& m1_subset_1(X3,u1_struct_0(sK2)) )
=> ( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m1_subset_1(sK5,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
? [X0] :
( l1_group_1(X0)
& ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(X0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
? [X0] :
( l1_group_1(X0)
& ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
? [X0] :
( l1_group_1(X0)
& ? [X1] :
( ( ~ v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( v1_group_3(X1,X0)
| ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
? [X0] :
( l1_group_1(X0)
& ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v4_group_1(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<~> v1_group_3(X1,X0) )
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
<=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f296,plain,
( ~ l1_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl14_1
| ~ spl14_2
| spl14_4
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f295,f125]) ).
fof(f125,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f295,plain,
( v3_struct_0(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ l1_group_1(sK2)
| ~ spl14_1
| ~ spl14_2
| spl14_4
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f294,f124]) ).
fof(f124,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f294,plain,
( ~ v1_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ l1_group_1(sK2)
| ~ spl14_1
| ~ spl14_2
| spl14_4
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f293,f188]) ).
fof(f188,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl14_6
<=> m1_subset_1(sK4,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f293,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ l1_group_1(sK2)
| ~ v1_group_1(sK2)
| ~ spl14_1
| ~ spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f292,f164]) ).
fof(f164,plain,
( v1_group_3(sK3,sK2)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl14_1
<=> v1_group_3(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f292,plain,
( ~ v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ l1_group_1(sK2)
| ~ v1_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f291,f126]) ).
fof(f126,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f291,plain,
( ~ v3_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ v1_group_1(sK2)
| ~ v1_group_3(sK3,sK2)
| v3_struct_0(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f290,f123]) ).
fof(f123,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f290,plain,
( ~ v4_group_1(sK2)
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v1_group_3(sK3,sK2)
| ~ v3_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ l1_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f289,f127]) ).
fof(f127,plain,
m1_group_2(sK3,sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f289,plain,
( ~ m1_group_2(sK3,sK2)
| ~ v1_group_3(sK3,sK2)
| v3_struct_0(sK2)
| ~ l1_group_1(sK2)
| ~ v1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| ~ v4_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ v3_group_1(sK2)
| ~ spl14_2
| spl14_4 ),
inference(subsumption_resolution,[],[f287,f169]) ).
fof(f169,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl14_2
<=> m1_subset_1(sK5,u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f287,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ m1_group_2(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ m1_subset_1(sK5,u1_struct_0(sK3))
| ~ v1_group_1(sK2)
| ~ m1_subset_1(sK4,u1_struct_0(sK2))
| spl14_4 ),
inference(resolution,[],[f134,f179]) ).
fof(f179,plain,
( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
| spl14_4 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl14_4
<=> r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_3(X1,X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ v3_group_1(X0)
| ! [X1] :
( ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( v1_group_3(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f278,plain,
( spl14_1
| spl14_8 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| spl14_1
| spl14_8 ),
inference(subsumption_resolution,[],[f276,f126]) ).
fof(f276,plain,
( ~ v3_group_1(sK2)
| spl14_1
| spl14_8 ),
inference(subsumption_resolution,[],[f275,f133]) ).
fof(f275,plain,
( ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_1
| spl14_8 ),
inference(subsumption_resolution,[],[f274,f123]) ).
fof(f274,plain,
( ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ l1_group_1(sK2)
| spl14_1
| spl14_8 ),
inference(subsumption_resolution,[],[f273,f165]) ).
fof(f165,plain,
( ~ v1_group_3(sK3,sK2)
| spl14_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f273,plain,
( v1_group_3(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_8 ),
inference(subsumption_resolution,[],[f272,f127]) ).
fof(f272,plain,
( ~ m1_group_2(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ v4_group_1(sK2)
| spl14_8 ),
inference(subsumption_resolution,[],[f271,f125]) ).
fof(f271,plain,
( v3_struct_0(sK2)
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| spl14_8 ),
inference(subsumption_resolution,[],[f270,f124]) ).
fof(f270,plain,
( ~ v1_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ v3_group_1(sK2)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| spl14_8 ),
inference(resolution,[],[f246,f155]) ).
fof(f155,plain,
! [X0,X1] :
( m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| v1_group_3(X1,X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ( m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X0)) )
| v1_group_3(X1,X0) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f81,f110,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X0)) ) )
=> ( m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK10(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK10(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> ( m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
& m1_subset_1(sK11(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X0)) ) )
| v1_group_3(X1,X0) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( m1_subset_1(X3,u1_struct_0(X1))
=> r1_rlvect_1(X1,k2_group_3(X0,X3,X2)) ) ) )
=> v1_group_3(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f246,plain,
( ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| spl14_8 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl14_8
<=> m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f269,plain,
( spl14_1
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| spl14_1
| spl14_9 ),
inference(subsumption_resolution,[],[f267,f124]) ).
fof(f267,plain,
( ~ v1_group_1(sK2)
| spl14_1
| spl14_9 ),
inference(subsumption_resolution,[],[f266,f126]) ).
fof(f266,plain,
( ~ v3_group_1(sK2)
| ~ v1_group_1(sK2)
| spl14_1
| spl14_9 ),
inference(subsumption_resolution,[],[f265,f125]) ).
fof(f265,plain,
( v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_1
| spl14_9 ),
inference(subsumption_resolution,[],[f264,f165]) ).
fof(f264,plain,
( v1_group_3(sK3,sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| spl14_9 ),
inference(subsumption_resolution,[],[f263,f127]) ).
fof(f263,plain,
( ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| v1_group_3(sK3,sK2)
| spl14_9 ),
inference(subsumption_resolution,[],[f262,f133]) ).
fof(f262,plain,
( ~ l1_group_1(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2)
| v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| spl14_9 ),
inference(subsumption_resolution,[],[f261,f123]) ).
fof(f261,plain,
( ~ v4_group_1(sK2)
| ~ v1_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ l1_group_1(sK2)
| spl14_9 ),
inference(resolution,[],[f250,f154]) ).
fof(f154,plain,
! [X0,X1] :
( m1_subset_1(sK11(X0,X1),u1_struct_0(X1))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f250,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| spl14_9 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl14_9
<=> m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f260,plain,
( spl14_1
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| spl14_1
| spl14_7 ),
inference(subsumption_resolution,[],[f258,f126]) ).
fof(f258,plain,
( ~ v3_group_1(sK2)
| spl14_1
| spl14_7 ),
inference(subsumption_resolution,[],[f257,f133]) ).
fof(f257,plain,
( ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_1
| spl14_7 ),
inference(subsumption_resolution,[],[f256,f165]) ).
fof(f256,plain,
( v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_7 ),
inference(subsumption_resolution,[],[f255,f123]) ).
fof(f255,plain,
( ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| spl14_7 ),
inference(subsumption_resolution,[],[f254,f124]) ).
fof(f254,plain,
( ~ v1_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_7 ),
inference(subsumption_resolution,[],[f253,f127]) ).
fof(f253,plain,
( ~ m1_group_2(sK3,sK2)
| ~ v1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ l1_group_1(sK2)
| v1_group_3(sK3,sK2)
| spl14_7 ),
inference(subsumption_resolution,[],[f252,f125]) ).
fof(f252,plain,
( v3_struct_0(sK2)
| v1_group_3(sK3,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ m1_group_2(sK3,sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| spl14_7 ),
inference(resolution,[],[f242,f152]) ).
fof(f152,plain,
! [X0,X1] :
( m1_subset_1(sK11(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v1_group_3(X1,X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f242,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| spl14_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl14_7
<=> m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f251,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_1
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f238,f182,f163,f248,f244,f240]) ).
fof(f182,plain,
( spl14_5
<=> ! [X4,X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| ~ m1_subset_1(X4,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f238,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| spl14_1
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f237,f165]) ).
fof(f237,plain,
( ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f236,f126]) ).
fof(f236,plain,
( ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f235,f123]) ).
fof(f235,plain,
( ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f234,f124]) ).
fof(f234,plain,
( ~ v1_group_1(sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ v4_group_1(sK2)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f233,f127]) ).
fof(f233,plain,
( ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ v3_group_1(sK2)
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ v1_group_1(sK2)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f232,f125]) ).
fof(f232,plain,
( v3_struct_0(sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ v1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f231,f133]) ).
fof(f231,plain,
( ~ l1_group_1(sK2)
| v3_struct_0(sK2)
| v1_group_3(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ m1_subset_1(sK10(sK2,sK3),u1_struct_0(sK2))
| ~ v1_group_1(sK2)
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK11(sK2,sK3),u1_struct_0(sK2))
| ~ v3_group_1(sK2)
| ~ m1_group_2(sK3,sK2)
| ~ spl14_5 ),
inference(resolution,[],[f153,f183]) ).
fof(f183,plain,
( ! [X4,X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| ~ m1_subset_1(X4,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK3)) )
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f153,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK11(X0,X1),sK10(X0,X1)))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| v1_group_3(X1,X0)
| ~ v4_group_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f189,plain,
( spl14_6
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f129,f163,f186]) ).
fof(f129,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f184,plain,
( spl14_1
| spl14_5 ),
inference(avatar_split_clause,[],[f128,f182,f163]) ).
fof(f128,plain,
! [X4,X5] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK3))
| ~ m1_subset_1(X4,u1_struct_0(sK2))
| ~ m1_subset_1(X5,u1_struct_0(sK2))
| v1_group_3(sK3,sK2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f180,plain,
( ~ spl14_4
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f132,f163,f177]) ).
fof(f132,plain,
( ~ v1_group_3(sK3,sK2)
| ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f175,plain,
( spl14_3
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f131,f163,f172]) ).
fof(f131,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f170,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f130,f167,f163]) ).
fof(f130,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| ~ v1_group_3(sK3,sK2) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:27:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (3004)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)
% 0.20/0.55 % (3003)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)
% 0.20/0.56 % (3003)First to succeed.
% 0.20/0.56 % (3019)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)
% 0.20/0.56 % (3011)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)
% 0.20/0.57 % (3011)Instruction limit reached!
% 0.20/0.57 % (3011)------------------------------
% 0.20/0.57 % (3011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3003)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (3003)------------------------------
% 0.20/0.57 % (3003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3003)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (3003)Memory used [KB]: 6140
% 0.20/0.57 % (3003)Time elapsed: 0.126 s
% 0.20/0.57 % (3003)Instructions burned: 5 (million)
% 0.20/0.57 % (3003)------------------------------
% 0.20/0.57 % (3003)------------------------------
% 0.20/0.57 % (2996)Success in time 0.218 s
%------------------------------------------------------------------------------