TSTP Solution File: GRP628+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP628+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 : 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 : Sun May 5 05:49:33 EDT 2024
% Result : Theorem 0.66s 0.80s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 22 unt; 0 def)
% Number of atoms : 341 ( 44 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 443 ( 170 ~; 182 |; 66 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 72 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,plain,
$false,
inference(subsumption_resolution,[],[f579,f249]) ).
fof(f249,plain,
k3_group_1(k5_autgroup(sK0),sK2) != k2_funct_1(sK2),
inference(definition_unfolding,[],[f150,f149]) ).
fof(f149,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_funct_1(X1) != k3_group_1(k5_autgroup(X0),X2)
& X1 = X2
& m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(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] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
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] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k5_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',t22_autgroup) ).
fof(f150,plain,
k2_funct_1(sK1) != k3_group_1(k5_autgroup(sK0),sK2),
inference(cnf_transformation,[],[f86]) ).
fof(f579,plain,
k3_group_1(k5_autgroup(sK0),sK2) = k2_funct_1(sK2),
inference(forward_demodulation,[],[f578,f522]) ).
fof(f522,plain,
k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2),
inference(subsumption_resolution,[],[f521,f429]) ).
fof(f429,plain,
m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0))),
inference(unit_resulting_resolution,[],[f264,f260,f262,f148,f256,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',t51_group_2) ).
fof(f256,plain,
m1_group_2(k5_autgroup(sK0),k3_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f167]) ).
fof(f167,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& v1_group_1(k5_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',dt_k5_autgroup) ).
fof(f156,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f154,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f152,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f148,plain,
m1_subset_1(sK2,u1_struct_0(k5_autgroup(sK0))),
inference(cnf_transformation,[],[f86]) ).
fof(f262,plain,
v3_group_1(k3_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f193]) ).
fof(f193,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( l1_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& ~ v3_struct_0(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',dt_k3_autgroup) ).
fof(f260,plain,
~ v3_struct_0(k3_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f191]) ).
fof(f191,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f264,plain,
l1_group_1(k3_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f195]) ).
fof(f195,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f521,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f520,f152]) ).
fof(f520,plain,
( v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f519,f156]) ).
fof(f519,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f518,f155]) ).
fof(f518,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f517,f154]) ).
fof(f517,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f512,f153]) ).
fof(f512,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| k2_funct_1(sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(resolution,[],[f305,f250]) ).
fof(f250,plain,
! [X2,X0] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| k3_group_1(k3_autgroup(X0),X2) = k2_funct_1(X2) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| X1 != X2
| k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2)
| X1 != X2
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ( X1 = X2
=> k2_funct_1(X1) = k3_group_1(k3_autgroup(X0),X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',t11_autgroup) ).
fof(f305,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f156,f155,f154,f248,f162]) ).
fof(f162,plain,
! [X0,X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',t13_autgroup) ).
fof(f248,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(definition_unfolding,[],[f151,f149]) ).
fof(f151,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f86]) ).
fof(f578,plain,
k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2),
inference(subsumption_resolution,[],[f577,f260]) ).
fof(f577,plain,
( v3_struct_0(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f576,f262]) ).
fof(f576,plain,
( ~ v3_group_1(k3_autgroup(sK0))
| v3_struct_0(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f575,f429]) ).
fof(f575,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| ~ v3_group_1(k3_autgroup(sK0))
| v3_struct_0(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f574,f264]) ).
fof(f574,plain,
( ~ l1_group_1(k3_autgroup(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| ~ v3_group_1(k3_autgroup(sK0))
| v3_struct_0(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(subsumption_resolution,[],[f572,f263]) ).
fof(f263,plain,
v4_group_1(k3_autgroup(sK0)),
inference(unit_resulting_resolution,[],[f152,f153,f155,f154,f156,f194]) ).
fof(f194,plain,
! [X0] :
( v4_group_1(k3_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f572,plain,
( ~ v4_group_1(k3_autgroup(sK0))
| ~ l1_group_1(k3_autgroup(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(k3_autgroup(sK0)))
| ~ v3_group_1(k3_autgroup(sK0))
| v3_struct_0(k3_autgroup(sK0))
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(k3_autgroup(sK0),sK2) ),
inference(resolution,[],[f276,f256]) ).
fof(f276,plain,
! [X0] :
( ~ m1_group_2(k5_autgroup(sK0),X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(sK2,u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k3_group_1(k5_autgroup(sK0),sK2) = k3_group_1(X0,sK2) ),
inference(resolution,[],[f148,f251]) ).
fof(f251,plain,
! [X2,X3,X0] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_group_2(X2,X0)
| v3_struct_0(X0)
| k3_group_1(X2,X3) = k3_group_1(X0,X3) ),
inference(equality_resolution,[],[f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| X1 != X3
| k3_group_1(X0,X1) = k3_group_1(X2,X3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k3_group_1(X0,X1) = k3_group_1(X2,X3)
| X1 != X3
| ~ m1_subset_1(X3,u1_struct_0(X2)) )
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( X1 = X3
=> k3_group_1(X0,X1) = k3_group_1(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Oo8FQlXYyU/Vampire---4.8_18528',t57_group_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 20:42:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.Oo8FQlXYyU/Vampire---4.8_18528
% 0.60/0.78 % (18637)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)
% 0.60/0.78 % (18639)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (18640)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)
% 0.60/0.78 % (18641)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)
% 0.60/0.78 % (18642)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)
% 0.60/0.78 % (18638)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)
% 0.60/0.78 % (18643)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)
% 0.60/0.78 % (18644)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)
% 0.60/0.78 % (18644)Refutation not found, incomplete strategy% (18644)------------------------------
% 0.60/0.78 % (18644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (18644)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (18644)Memory used [KB]: 1130
% 0.60/0.78 % (18644)Time elapsed: 0.004 s
% 0.60/0.78 % (18644)Instructions burned: 5 (million)
% 0.60/0.78 % (18642)Refutation not found, incomplete strategy% (18642)------------------------------
% 0.60/0.78 % (18642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (18642)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (18642)Memory used [KB]: 1154
% 0.60/0.78 % (18642)Time elapsed: 0.005 s
% 0.60/0.78 % (18642)Instructions burned: 6 (million)
% 0.60/0.78 % (18644)------------------------------
% 0.60/0.78 % (18644)------------------------------
% 0.60/0.78 % (18642)------------------------------
% 0.60/0.78 % (18642)------------------------------
% 0.60/0.79 % (18645)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)
% 0.60/0.79 % (18646)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)
% 0.60/0.79 % (18640)Instruction limit reached!
% 0.60/0.79 % (18640)------------------------------
% 0.60/0.79 % (18640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (18640)Termination reason: Unknown
% 0.60/0.79 % (18640)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (18640)Memory used [KB]: 1377
% 0.60/0.79 % (18640)Time elapsed: 0.017 s
% 0.60/0.79 % (18640)Instructions burned: 35 (million)
% 0.60/0.79 % (18640)------------------------------
% 0.60/0.79 % (18640)------------------------------
% 0.60/0.80 % (18641)Instruction limit reached!
% 0.60/0.80 % (18641)------------------------------
% 0.60/0.80 % (18641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (18641)Termination reason: Unknown
% 0.60/0.80 % (18641)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (18641)Memory used [KB]: 1798
% 0.60/0.80 % (18641)Time elapsed: 0.019 s
% 0.60/0.80 % (18641)Instructions burned: 35 (million)
% 0.60/0.80 % (18641)------------------------------
% 0.60/0.80 % (18641)------------------------------
% 0.66/0.80 % (18647)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)
% 0.66/0.80 % (18637)Instruction limit reached!
% 0.66/0.80 % (18637)------------------------------
% 0.66/0.80 % (18637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (18637)Termination reason: Unknown
% 0.66/0.80 % (18637)Termination phase: Saturation
% 0.66/0.80
% 0.66/0.80 % (18637)Memory used [KB]: 1526
% 0.66/0.80 % (18637)Time elapsed: 0.021 s
% 0.66/0.80 % (18637)Instructions burned: 34 (million)
% 0.66/0.80 % (18637)------------------------------
% 0.66/0.80 % (18637)------------------------------
% 0.66/0.80 % (18648)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)
% 0.66/0.80 % (18643)First to succeed.
% 0.66/0.80 % (18649)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.66/0.80 % (18643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18636"
% 0.66/0.80 % (18643)Refutation found. Thanks to Tanya!
% 0.66/0.80 % SZS status Theorem for Vampire---4
% 0.66/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.80 % (18643)------------------------------
% 0.66/0.80 % (18643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (18643)Termination reason: Refutation
% 0.66/0.80
% 0.66/0.80 % (18643)Memory used [KB]: 1473
% 0.66/0.80 % (18643)Time elapsed: 0.024 s
% 0.66/0.80 % (18643)Instructions burned: 47 (million)
% 0.66/0.80 % (18636)Success in time 0.482 s
% 0.66/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------