TSTP Solution File: SEU293+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU293+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n021.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 09:21:58 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 8 unt; 0 def)
% Number of atoms : 399 ( 62 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 493 ( 182 ~; 185 |; 88 &)
% ( 21 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 148 ( 117 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526,plain,
$false,
inference(avatar_sat_refutation,[],[f221,f222,f223,f365,f372,f467,f491,f519,f525]) ).
fof(f525,plain,
( spl21_3
| ~ spl21_1
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f524,f452,f210,f218]) ).
fof(f218,plain,
( spl21_3
<=> in(apply(sK3,sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f210,plain,
( spl21_1
<=> in(sK4,relation_inverse_image(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f452,plain,
( spl21_11
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f524,plain,
( in(apply(sK3,sK4),sK2)
| ~ spl21_1
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f523,f453]) ).
fof(f453,plain,
( relation(sK3)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f523,plain,
( in(apply(sK3,sK4),sK2)
| ~ relation(sK3)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f468,f128]) ).
fof(f128,plain,
function(sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( ~ in(apply(sK3,sK4),sK2)
| ~ in(sK4,sK0)
| ~ in(sK4,relation_inverse_image(sK3,sK2)) )
& ( ( in(apply(sK3,sK4),sK2)
& in(sK4,sK0) )
| in(sK4,relation_inverse_image(sK3,sK2)) )
& empty_set != sK1
& relation_of2_as_subset(sK3,sK0,sK1)
& quasi_total(sK3,sK0,sK1)
& function(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f87,f89,f88]) ).
fof(f88,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ in(apply(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X3,X2)) )
& ( ( in(apply(X3,X4),X2)
& in(X4,X0) )
| in(X4,relation_inverse_image(X3,X2)) ) )
& empty_set != X1
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( ? [X4] :
( ( ~ in(apply(sK3,X4),sK2)
| ~ in(X4,sK0)
| ~ in(X4,relation_inverse_image(sK3,sK2)) )
& ( ( in(apply(sK3,X4),sK2)
& in(X4,sK0) )
| in(X4,relation_inverse_image(sK3,sK2)) ) )
& empty_set != sK1
& relation_of2_as_subset(sK3,sK0,sK1)
& quasi_total(sK3,sK0,sK1)
& function(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X4] :
( ( ~ in(apply(sK3,X4),sK2)
| ~ in(X4,sK0)
| ~ in(X4,relation_inverse_image(sK3,sK2)) )
& ( ( in(apply(sK3,X4),sK2)
& in(X4,sK0) )
| in(X4,relation_inverse_image(sK3,sK2)) ) )
=> ( ( ~ in(apply(sK3,sK4),sK2)
| ~ in(sK4,sK0)
| ~ in(sK4,relation_inverse_image(sK3,sK2)) )
& ( ( in(apply(sK3,sK4),sK2)
& in(sK4,sK0) )
| in(sK4,relation_inverse_image(sK3,sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ in(apply(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X3,X2)) )
& ( ( in(apply(X3,X4),X2)
& in(X4,X0) )
| in(X4,relation_inverse_image(X3,X2)) ) )
& empty_set != X1
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( ~ in(apply(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X3,X2)) )
& ( ( in(apply(X3,X4),X2)
& in(X4,X0) )
| in(X4,relation_inverse_image(X3,X2)) ) )
& empty_set != X1
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( in(X4,relation_inverse_image(X3,X2))
<~> ( in(apply(X3,X4),X2)
& in(X4,X0) ) )
& empty_set != X1
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( in(X4,relation_inverse_image(X3,X2))
<~> ( in(apply(X3,X4),X2)
& in(X4,X0) ) )
& empty_set != X1
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( empty_set != X1
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(apply(X3,X4),X2)
& in(X4,X0) ) ) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( empty_set != X1
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(apply(X3,X4),X2)
& in(X4,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',t46_funct_2) ).
fof(f468,plain,
( in(apply(sK3,sK4),sK2)
| ~ function(sK3)
| ~ relation(sK3)
| ~ spl21_1 ),
inference(resolution,[],[f211,f207]) ).
fof(f207,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(apply(X0,sK5(X0,X1,X2)),X1)
| ~ in(sK5(X0,X1,X2),relation_dom(X0))
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK5(X0,X1,X2)),X1)
& in(sK5(X0,X1,X2),relation_dom(X0)) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ~ in(apply(X0,sK5(X0,X1,X2)),X1)
| ~ in(sK5(X0,X1,X2),relation_dom(X0))
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK5(X0,X1,X2)),X1)
& in(sK5(X0,X1,X2),relation_dom(X0)) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',d13_funct_1) ).
fof(f211,plain,
( in(sK4,relation_inverse_image(sK3,sK2))
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f519,plain,
( spl21_2
| ~ spl21_1
| ~ spl21_5
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f518,f452,f356,f210,f214]) ).
fof(f214,plain,
( spl21_2
<=> in(sK4,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f356,plain,
( spl21_5
<=> sK0 = relation_dom(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f518,plain,
( in(sK4,sK0)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f515,f453]) ).
fof(f515,plain,
( in(sK4,sK0)
| ~ relation(sK3)
| ~ spl21_1
| ~ spl21_5 ),
inference(forward_demodulation,[],[f514,f358]) ).
fof(f358,plain,
( sK0 = relation_dom(sK3)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f514,plain,
( in(sK4,relation_dom(sK3))
| ~ relation(sK3)
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f469,f128]) ).
fof(f469,plain,
( in(sK4,relation_dom(sK3))
| ~ function(sK3)
| ~ relation(sK3)
| ~ spl21_1 ),
inference(resolution,[],[f211,f208]) ).
fof(f208,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f491,plain,
spl21_11,
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| spl21_11 ),
inference(resolution,[],[f484,f130]) ).
fof(f130,plain,
relation_of2_as_subset(sK3,sK0,sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f484,plain,
( ! [X0,X1] : ~ relation_of2_as_subset(sK3,X0,X1)
| spl21_11 ),
inference(resolution,[],[f472,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',dt_m2_relset_1) ).
fof(f472,plain,
( ! [X0,X1] : ~ element(sK3,powerset(cartesian_product2(X0,X1)))
| spl21_11 ),
inference(resolution,[],[f454,f200]) ).
fof(f200,plain,
! [X2,X0,X1] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',cc1_relset_1) ).
fof(f454,plain,
( ~ relation(sK3)
| spl21_11 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f467,plain,
( ~ spl21_11
| spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f466,f356,f218,f214,f210,f452]) ).
fof(f466,plain,
( ~ in(sK4,sK0)
| in(sK4,relation_inverse_image(sK3,sK2))
| ~ relation(sK3)
| ~ spl21_3
| ~ spl21_5 ),
inference(forward_demodulation,[],[f465,f358]) ).
fof(f465,plain,
( in(sK4,relation_inverse_image(sK3,sK2))
| ~ in(sK4,relation_dom(sK3))
| ~ relation(sK3)
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f373,f128]) ).
fof(f373,plain,
( in(sK4,relation_inverse_image(sK3,sK2))
| ~ in(sK4,relation_dom(sK3))
| ~ function(sK3)
| ~ relation(sK3)
| ~ spl21_3 ),
inference(resolution,[],[f206,f219]) ).
fof(f219,plain,
( in(apply(sK3,sK4),sK2)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f206,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| in(X4,relation_inverse_image(X0,X1))
| ~ in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f372,plain,
spl21_4,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| spl21_4 ),
inference(subsumption_resolution,[],[f370,f130]) ).
fof(f370,plain,
( ~ relation_of2_as_subset(sK3,sK0,sK1)
| spl21_4 ),
inference(resolution,[],[f354,f167]) ).
fof(f167,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',redefinition_m2_relset_1) ).
fof(f354,plain,
( ~ relation_of2(sK3,sK0,sK1)
| spl21_4 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl21_4
<=> relation_of2(sK3,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f365,plain,
( ~ spl21_4
| spl21_5 ),
inference(avatar_split_clause,[],[f350,f356,f352]) ).
fof(f350,plain,
( sK0 = relation_dom(sK3)
| ~ relation_of2(sK3,sK0,sK1) ),
inference(superposition,[],[f137,f347]) ).
fof(f347,plain,
sK0 = relation_dom_as_subset(sK0,sK1,sK3),
inference(subsumption_resolution,[],[f346,f130]) ).
fof(f346,plain,
( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
| ~ relation_of2_as_subset(sK3,sK0,sK1) ),
inference(subsumption_resolution,[],[f342,f131]) ).
fof(f131,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f90]) ).
fof(f342,plain,
( sK0 = relation_dom_as_subset(sK0,sK1,sK3)
| empty_set = sK1
| ~ relation_of2_as_subset(sK3,sK0,sK1) ),
inference(resolution,[],[f138,f129]) ).
fof(f129,plain,
quasi_total(sK3,sK0,sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( empty_set = X2
| ~ quasi_total(X2,X0,X1) ) )
| empty_set = X0
| empty_set != X1 )
& ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& empty_set = X1 ) ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0
| empty_set != X1 )
& ( ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 )
| ( empty_set != X0
& empty_set = X1 ) ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0
| empty_set != X1 )
& ( ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 )
| ( empty_set != X0
& empty_set = X1 ) ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( empty_set = X1
=> ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0 ) )
& ( ( empty_set = X1
=> empty_set = X0 )
=> ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',d1_funct_2) ).
fof(f137,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8fl34CHS1K/Vampire---4.8_15712',redefinition_k4_relset_1) ).
fof(f223,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f132,f214,f210]) ).
fof(f132,plain,
( in(sK4,sK0)
| in(sK4,relation_inverse_image(sK3,sK2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f222,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f133,f218,f210]) ).
fof(f133,plain,
( in(apply(sK3,sK4),sK2)
| in(sK4,relation_inverse_image(sK3,sK2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f221,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f134,f218,f214,f210]) ).
fof(f134,plain,
( ~ in(apply(sK3,sK4),sK2)
| ~ in(sK4,sK0)
| ~ in(sK4,relation_inverse_image(sK3,sK2)) ),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SEU293+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.16 % 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 : n021.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 11:53:13 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 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.8fl34CHS1K/Vampire---4.8_15712
% 0.57/0.75 % (15820)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 (2996ds/34Mi)
% 0.57/0.75 % (15825)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (15824)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 (2996ds/34Mi)
% 0.57/0.75 % (15823)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (15822)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (15821)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 (2996ds/51Mi)
% 0.57/0.75 % (15826)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 (2996ds/83Mi)
% 0.57/0.75 % (15827)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 (2996ds/56Mi)
% 0.57/0.76 % (15825)Refutation not found, incomplete strategy% (15825)------------------------------
% 0.57/0.76 % (15825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (15825)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (15825)Memory used [KB]: 1129
% 0.57/0.76 % (15825)Time elapsed: 0.003 s
% 0.57/0.76 % (15825)Instructions burned: 5 (million)
% 0.57/0.76 % (15825)------------------------------
% 0.57/0.76 % (15825)------------------------------
% 0.57/0.76 % (15824)Refutation not found, incomplete strategy% (15824)------------------------------
% 0.57/0.76 % (15824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (15824)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (15824)Memory used [KB]: 1146
% 0.57/0.76 % (15824)Time elapsed: 0.004 s
% 0.57/0.76 % (15824)Instructions burned: 6 (million)
% 0.57/0.76 % (15824)------------------------------
% 0.57/0.76 % (15824)------------------------------
% 0.57/0.76 % (15827)Refutation not found, incomplete strategy% (15827)------------------------------
% 0.57/0.76 % (15827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (15827)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (15827)Memory used [KB]: 1085
% 0.57/0.76 % (15827)Time elapsed: 0.004 s
% 0.57/0.76 % (15827)Instructions burned: 5 (million)
% 0.57/0.76 % (15827)------------------------------
% 0.57/0.76 % (15827)------------------------------
% 0.57/0.76 % (15823)Refutation not found, incomplete strategy% (15823)------------------------------
% 0.57/0.76 % (15823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (15829)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 (2996ds/50Mi)
% 0.57/0.76 % (15823)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (15823)Memory used [KB]: 1152
% 0.57/0.76 % (15823)Time elapsed: 0.008 s
% 0.57/0.76 % (15823)Instructions burned: 13 (million)
% 0.57/0.76 % (15823)------------------------------
% 0.57/0.76 % (15823)------------------------------
% 0.57/0.76 % (15830)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 (2996ds/208Mi)
% 0.59/0.76 % (15828)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 (2996ds/55Mi)
% 0.59/0.76 % (15831)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 (2996ds/52Mi)
% 0.59/0.76 % (15822)First to succeed.
% 0.59/0.76 % (15820)Instruction limit reached!
% 0.59/0.76 % (15820)------------------------------
% 0.59/0.76 % (15820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (15820)Termination reason: Unknown
% 0.59/0.76 % (15820)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (15820)Memory used [KB]: 1321
% 0.59/0.76 % (15820)Time elapsed: 0.013 s
% 0.59/0.76 % (15820)Instructions burned: 36 (million)
% 0.59/0.76 % (15820)------------------------------
% 0.59/0.76 % (15820)------------------------------
% 0.59/0.77 % (15822)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15819"
% 0.59/0.77 % (15822)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (15822)------------------------------
% 0.59/0.77 % (15822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (15822)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (15822)Memory used [KB]: 1200
% 0.59/0.77 % (15822)Time elapsed: 0.014 s
% 0.59/0.77 % (15822)Instructions burned: 22 (million)
% 0.59/0.77 % (15819)Success in time 0.382 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------