TSTP Solution File: ALG216+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG216+1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 : Sun May 5 04:12:26 EDT 2024
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 91 ( 23 unt; 0 def)
% Number of atoms : 576 ( 40 equ)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 840 ( 355 ~; 372 |; 90 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f178,f187,f232,f281]) ).
fof(f281,plain,
( ~ spl21_1
| ~ spl21_3 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl21_1
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f279,f89]) ).
fof(f89,plain,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',t6_rmod_5) ).
fof(f279,plain,
( k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f278,f97]) ).
fof(f97,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f278,plain,
( v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f277,f88]) ).
fof(f88,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f56]) ).
fof(f277,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f276,f238]) ).
fof(f238,plain,
( m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ spl21_3 ),
inference(unit_resulting_resolution,[],[f188,f116]) ).
fof(f116,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',dt_k1_rlvect_1) ).
fof(f188,plain,
( l2_struct_0(sK1)
| ~ spl21_3 ),
inference(unit_resulting_resolution,[],[f173,f139]) ).
fof(f139,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',dt_l1_rlvect_1) ).
fof(f173,plain,
( l1_rlvect_1(sK1)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl21_3
<=> l1_rlvect_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f276,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f275,f96]) ).
fof(f96,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f275,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f274,f95]) ).
fof(f95,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f274,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f273,f94]) ).
fof(f94,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f273,plain,
( ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f272,f93]) ).
fof(f93,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f272,plain,
( ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f271,f92]) ).
fof(f92,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f271,plain,
( ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f270,f91]) ).
fof(f91,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f270,plain,
( ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f269,f90]) ).
fof(f90,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f269,plain,
( v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f268,f106]) ).
fof(f106,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f268,plain,
( ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f267,f105]) ).
fof(f105,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f267,plain,
( ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f266,f104]) ).
fof(f104,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f266,plain,
( ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f265,f103]) ).
fof(f103,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f265,plain,
( ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f264,f102]) ).
fof(f102,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f264,plain,
( ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f263,f101]) ).
fof(f101,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f263,plain,
( ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f262,f100]) ).
fof(f100,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f262,plain,
( ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f261,f99]) ).
fof(f99,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f261,plain,
( ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f258,f98]) ).
fof(f98,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f258,plain,
( ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK0)
| k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ spl21_1 ),
inference(resolution,[],[f160,f154]) ).
fof(f154,plain,
! [X3,X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(equality_resolution,[],[f114]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( ( k1_rlvect_1(X1) != X3
& k1_rlvect_1(X1) != X2 )
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',t5_rmod_5) ).
fof(f160,plain,
( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl21_1
<=> v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f232,plain,
( ~ spl21_2
| ~ spl21_3 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| ~ spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f228,f188]) ).
fof(f228,plain,
( ~ l2_struct_0(sK1)
| ~ spl21_2 ),
inference(resolution,[],[f199,f116]) ).
fof(f199,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ spl21_2 ),
inference(unit_resulting_resolution,[],[f99,f97,f98,f100,f102,f101,f94,f93,f92,f91,f90,f106,f105,f104,f103,f96,f95,f88,f89,f164,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X3 ),
inference(cnf_transformation,[],[f65]) ).
fof(f164,plain,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl21_2
<=> v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f187,plain,
spl21_4,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| spl21_4 ),
inference(subsumption_resolution,[],[f184,f168]) ).
fof(f168,plain,
l2_struct_0(sK0),
inference(unit_resulting_resolution,[],[f166,f139]) ).
fof(f166,plain,
l1_rlvect_1(sK0),
inference(unit_resulting_resolution,[],[f106,f118]) ).
fof(f118,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',dt_l3_vectsp_1) ).
fof(f184,plain,
( ~ l2_struct_0(sK0)
| spl21_4 ),
inference(unit_resulting_resolution,[],[f177,f138]) ).
fof(f138,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',dt_l2_struct_0) ).
fof(f177,plain,
( ~ l1_struct_0(sK0)
| spl21_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl21_4
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f178,plain,
( spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f169,f175,f171]) ).
fof(f169,plain,
( ~ l1_struct_0(sK0)
| l1_rlvect_1(sK1) ),
inference(resolution,[],[f96,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0)
| l1_rlvect_1(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628',dt_l1_vectsp_2) ).
fof(f165,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f87,f162,f158]) ).
fof(f87,plain,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n008.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 20:02:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.uzN9T8j0to/Vampire---4.8_7628
% 0.61/0.82 % (8095)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.82 % (8087)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.82 % (8090)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82 % (8089)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 Vampire---4 for (2995ds/51Mi)
% 0.61/0.82 % (8091)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.82 % (8092)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.82 % (8093)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.82 % (8094)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 Vampire---4 for (2995ds/83Mi)
% 0.61/0.82 % (8095)Refutation not found, incomplete strategy% (8095)------------------------------
% 0.61/0.82 % (8095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (8095)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (8095)Memory used [KB]: 1055
% 0.61/0.82 % (8095)Time elapsed: 0.003 s
% 0.61/0.82 % (8095)Instructions burned: 5 (million)
% 0.61/0.83 % (8095)------------------------------
% 0.61/0.83 % (8095)------------------------------
% 0.61/0.83 % (8091)Refutation not found, incomplete strategy% (8091)------------------------------
% 0.61/0.83 % (8091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (8091)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (8093)Refutation not found, incomplete strategy% (8093)------------------------------
% 0.61/0.83 % (8093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (8093)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (8093)Memory used [KB]: 1050
% 0.61/0.83 % (8093)Time elapsed: 0.004 s
% 0.61/0.83 % (8093)Instructions burned: 4 (million)
% 0.61/0.83 % (8091)Memory used [KB]: 1048
% 0.61/0.83 % (8091)Time elapsed: 0.004 s
% 0.61/0.83 % (8091)Instructions burned: 4 (million)
% 0.61/0.83 % (8093)------------------------------
% 0.61/0.83 % (8093)------------------------------
% 0.61/0.83 % (8091)------------------------------
% 0.61/0.83 % (8091)------------------------------
% 0.61/0.83 % (8092)Refutation not found, incomplete strategy% (8092)------------------------------
% 0.61/0.83 % (8092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (8092)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (8092)Memory used [KB]: 1151
% 0.61/0.83 % (8099)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 Vampire---4 for (2995ds/55Mi)
% 0.61/0.83 % (8092)Time elapsed: 0.005 s
% 0.61/0.83 % (8092)Instructions burned: 7 (million)
% 0.61/0.83 % (8092)------------------------------
% 0.61/0.83 % (8092)------------------------------
% 0.61/0.83 % (8094)First to succeed.
% 0.61/0.83 % (8101)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.83 % (8102)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.83 % (8094)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7878"
% 0.61/0.83 % (8104)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.83 % (8094)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status Theorem for Vampire---4
% 0.61/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83 % (8094)------------------------------
% 0.61/0.83 % (8094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (8094)Termination reason: Refutation
% 0.61/0.83
% 0.61/0.83 % (8094)Memory used [KB]: 1171
% 0.61/0.83 % (8094)Time elapsed: 0.010 s
% 0.61/0.83 % (8094)Instructions burned: 14 (million)
% 0.61/0.83 % (7878)Success in time 0.451 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------