TSTP Solution File: GRP618+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP618+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Mon May 20 21:10:27 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 7 unt; 0 def)
% Number of atoms : 648 ( 0 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 880 ( 331 ~; 384 |; 127 &)
% ( 8 <=>; 28 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 112 ( 72 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,plain,
$false,
inference(avatar_sat_refutation,[],[f168,f173,f178,f183,f187,f255,f293]) ).
fof(f293,plain,
( spl14_2
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f291,f114]) ).
fof(f114,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( ~ v1_group_3(sK1,sK0)
| ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,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,sK2,sK3])],[f89,f93,f92,f91,f90]) ).
fof(f90,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)) ) )
& ( 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) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( ~ v1_group_3(X1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(X1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(X1,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(f91,plain,
( ? [X1] :
( ( ~ v1_group_3(X1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(X1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(X1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(X1,sK0) )
=> ( ( ~ v1_group_3(sK1,sK0)
| ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) ) )
& ( v1_group_3(sK1,sK0)
| ! [X4] :
( ! [X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0)) )
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ) )
& m1_group_2(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X2] :
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,X2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,sK2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X3] :
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,X3,sK2))
& m1_subset_1(X3,u1_struct_0(sK1))
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,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)) ) )
& ( 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) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,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)) ) )
& ( 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)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,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)) ) )
& ( 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)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,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)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,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)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
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_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)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(f291,plain,
( v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f290,f115]) ).
fof(f115,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f290,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f289,f116]) ).
fof(f116,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f289,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f288,f117]) ).
fof(f117,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f288,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f287,f118]) ).
fof(f118,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f287,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f286,f119]) ).
fof(f119,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f286,plain,
( ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f285,f167]) ).
fof(f167,plain,
( ~ v1_group_3(sK1,sK0)
| spl14_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl14_2
<=> v1_group_3(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f285,plain,
( v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f284,f276]) ).
fof(f276,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| spl14_2 ),
inference(subsumption_resolution,[],[f275,f114]) ).
fof(f275,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f274,f115]) ).
fof(f274,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f273,f116]) ).
fof(f273,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f272,f117]) ).
fof(f272,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f271,f118]) ).
fof(f271,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f258,f119]) ).
fof(f258,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(resolution,[],[f167,f141]) ).
fof(f141,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK10(X0,X1),u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( v1_group_3(X1,X0)
| ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK10(X0,X1),sK9(X0,X1)))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK9(X0,X1),u1_struct_0(X0)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f80,f106,f105]) ).
fof(f105,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)) )
=> ( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK9(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(sK9(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X3] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,X3,sK9(X0,X1)))
& m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> ( ~ r1_rlvect_1(X1,k2_group_3(X0,sK10(X0,X1),sK9(X0,X1)))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
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)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,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)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_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/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(f284,plain,
( ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f283,f270]) ).
fof(f270,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| spl14_2 ),
inference(subsumption_resolution,[],[f269,f114]) ).
fof(f269,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f268,f115]) ).
fof(f268,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f267,f116]) ).
fof(f267,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f266,f117]) ).
fof(f266,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f265,f118]) ).
fof(f265,plain,
( m1_subset_1(sK10(sK0,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)
| spl14_2 ),
inference(subsumption_resolution,[],[f257,f119]) ).
fof(f257,plain,
( m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(resolution,[],[f167,f140]) ).
fof(f140,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f283,plain,
( ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2
| ~ spl14_6 ),
inference(subsumption_resolution,[],[f278,f264]) ).
fof(f264,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| spl14_2 ),
inference(subsumption_resolution,[],[f263,f114]) ).
fof(f263,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f262,f115]) ).
fof(f262,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f261,f116]) ).
fof(f261,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f260,f117]) ).
fof(f260,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(subsumption_resolution,[],[f259,f118]) ).
fof(f259,plain,
( m1_subset_1(sK9(sK0,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)
| spl14_2 ),
inference(subsumption_resolution,[],[f256,f119]) ).
fof(f256,plain,
( m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_2 ),
inference(resolution,[],[f167,f139]) ).
fof(f139,plain,
! [X0,X1] :
( v1_group_3(X1,X0)
| m1_subset_1(sK9(X0,X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f278,plain,
( ~ m1_subset_1(sK9(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK0))
| ~ m1_subset_1(sK10(sK0,sK1),u1_struct_0(sK1))
| v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ spl14_6 ),
inference(resolution,[],[f186,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X1,k2_group_3(X0,sK10(X0,X1),sK9(X0,X1)))
| v1_group_3(X1,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
( ! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl14_6
<=> ! [X4,X5] :
( r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X4,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X5,u1_struct_0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f255,plain,
( ~ spl14_2
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f254,f180,f175,f170,f161,f165]) ).
fof(f161,plain,
( spl14_1
<=> r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f170,plain,
( spl14_3
<=> m1_subset_1(sK3,u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f175,plain,
( spl14_4
<=> m1_subset_1(sK3,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f180,plain,
( spl14_5
<=> m1_subset_1(sK2,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f254,plain,
( ~ v1_group_3(sK1,sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f253,f114]) ).
fof(f253,plain,
( ~ v1_group_3(sK1,sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f252,f115]) ).
fof(f252,plain,
( ~ v1_group_3(sK1,sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f251,f116]) ).
fof(f251,plain,
( ~ v1_group_3(sK1,sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f250,f117]) ).
fof(f250,plain,
( ~ v1_group_3(sK1,sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f249,f118]) ).
fof(f249,plain,
( ~ v1_group_3(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f240,f119]) ).
fof(f240,plain,
( ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f239,f182]) ).
fof(f182,plain,
( m1_subset_1(sK2,u1_struct_0(sK0))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f239,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f238,f177]) ).
fof(f177,plain,
( m1_subset_1(sK3,u1_struct_0(sK0))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f238,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f237,f172]) ).
fof(f172,plain,
( m1_subset_1(sK3,u1_struct_0(sK1))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f237,plain,
( ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK3,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ v1_group_3(sK1,sK0)
| ~ m1_group_2(sK1,sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| spl14_1 ),
inference(resolution,[],[f163,f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( 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)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[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)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,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)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(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/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(f163,plain,
( ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2))
| spl14_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f187,plain,
( spl14_6
| spl14_2 ),
inference(avatar_split_clause,[],[f120,f165,f185]) ).
fof(f120,plain,
! [X4,X5] :
( v1_group_3(sK1,sK0)
| r1_rlvect_1(sK1,k2_group_3(sK0,X5,X4))
| ~ m1_subset_1(X5,u1_struct_0(sK1))
| ~ m1_subset_1(X5,u1_struct_0(sK0))
| ~ m1_subset_1(X4,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f183,plain,
( spl14_5
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f121,f165,f180]) ).
fof(f121,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK2,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f178,plain,
( spl14_4
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f122,f165,f175]) ).
fof(f122,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f173,plain,
( spl14_3
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f123,f165,f170]) ).
fof(f123,plain,
( ~ v1_group_3(sK1,sK0)
| m1_subset_1(sK3,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f168,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f124,f165,f161]) ).
fof(f124,plain,
( ~ v1_group_3(sK1,sK0)
| ~ r1_rlvect_1(sK1,k2_group_3(sK0,sK3,sK2)) ),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP618+1 : TPTP v8.2.0. Released v3.4.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.17/0.37 % Computer : n025.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 05:03:08 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.75 % (28534)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.75 % (28527)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.54/0.75 % (28528)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.54/0.75 % (28532)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.75 % (28534)First to succeed.
% 0.54/0.75 % (28529)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.75 % (28533)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.54/0.75 % (28527)Also succeeded, but the first one will report.
% 0.54/0.75 % (28532)Also succeeded, but the first one will report.
% 0.59/0.76 % (28530)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.76 % (28535)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.59/0.76 % (28531)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.59/0.76 % (28533)Also succeeded, but the first one will report.
% 0.59/0.76 % (28534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28526"
% 0.59/0.76 % (28534)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for theBenchmark
% 0.59/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.76 % (28534)------------------------------
% 0.59/0.76 % (28534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (28534)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (28534)Memory used [KB]: 1147
% 0.59/0.76 % (28534)Time elapsed: 0.008 s
% 0.59/0.76 % (28534)Instructions burned: 9 (million)
% 0.59/0.76 % (28526)Success in time 0.378 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------