TSTP Solution File: SEU078+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU078+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:49:59 EDT 2024
% Result : Theorem 1.14s 0.94s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 141 ( 12 unt; 0 def)
% Number of atoms : 614 ( 119 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 790 ( 317 ~; 316 |; 107 &)
% ( 30 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 270 ( 219 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1323,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f236,f618,f651,f734,f1202,f1210,f1312,f1322]) ).
fof(f1322,plain,
( spl21_1
| spl21_10 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| spl21_1
| spl21_10 ),
inference(subsumption_resolution,[],[f1320,f133]) ).
fof(f133,plain,
relation(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ! [X2] : ~ subset(relation_inverse_image(sK0,singleton(sK1)),singleton(X2))
| ~ one_to_one(sK0) )
& ( ! [X3] : subset(relation_inverse_image(sK0,singleton(X3)),singleton(sK2(X3)))
| one_to_one(sK0) )
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f82,f85,f84,f83]) ).
fof(f83,plain,
( ? [X0] :
( ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(X0,singleton(X3)),singleton(X4))
| one_to_one(X0) )
& function(X0)
& relation(X0) )
=> ( ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(sK0,singleton(X1)),singleton(X2))
| ~ one_to_one(sK0) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(sK0,singleton(X3)),singleton(X4))
| one_to_one(sK0) )
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(sK0,singleton(X1)),singleton(X2))
=> ! [X2] : ~ subset(relation_inverse_image(sK0,singleton(sK1)),singleton(X2)) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X3] :
( ? [X4] : subset(relation_inverse_image(sK0,singleton(X3)),singleton(X4))
=> subset(relation_inverse_image(sK0,singleton(X3)),singleton(sK2(X3))) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0] :
( ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X3] :
? [X4] : subset(relation_inverse_image(X0,singleton(X3)),singleton(X4))
| one_to_one(X0) )
& function(X0)
& relation(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
? [X0] :
( ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| one_to_one(X0) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ( ? [X1] :
! [X2] : ~ subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| ~ one_to_one(X0) )
& ( ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2))
| one_to_one(X0) )
& function(X0)
& relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ( one_to_one(X0)
<~> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0] :
( ( one_to_one(X0)
<~> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1] :
? [X2] : subset(relation_inverse_image(X0,singleton(X1)),singleton(X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t159_funct_1) ).
fof(f1320,plain,
( ~ relation(sK0)
| spl21_1
| spl21_10 ),
inference(subsumption_resolution,[],[f1319,f134]) ).
fof(f134,plain,
function(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f1319,plain,
( ~ function(sK0)
| ~ relation(sK0)
| spl21_1
| spl21_10 ),
inference(subsumption_resolution,[],[f1318,f228]) ).
fof(f228,plain,
( ~ one_to_one(sK0)
| spl21_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl21_1
<=> one_to_one(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f1318,plain,
( one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| spl21_10 ),
inference(resolution,[],[f370,f139]) ).
fof(f139,plain,
! [X0] :
( in(sK4(X0),relation_rng(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( ( ! [X1] :
( relation_inverse_image(X0,singleton(X1)) = singleton(sK3(X0,X1))
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ( ! [X4] : singleton(X4) != relation_inverse_image(X0,singleton(sK4(X0)))
& in(sK4(X0),relation_rng(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f89,f91,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
=> relation_inverse_image(X0,singleton(X1)) = singleton(sK3(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ? [X3] :
( ! [X4] : relation_inverse_image(X0,singleton(X3)) != singleton(X4)
& in(X3,relation_rng(X0)) )
=> ( ! [X4] : singleton(X4) != relation_inverse_image(X0,singleton(sK4(X0)))
& in(sK4(X0),relation_rng(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X3] :
( ! [X4] : relation_inverse_image(X0,singleton(X3)) != singleton(X4)
& in(X3,relation_rng(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
| ~ one_to_one(X0) )
& ( one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1] :
~ ( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t144_funct_1) ).
fof(f370,plain,
( ~ in(sK4(sK0),relation_rng(sK0))
| spl21_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl21_10
<=> in(sK4(sK0),relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f1312,plain,
( ~ spl21_6
| ~ spl21_10 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl21_6
| ~ spl21_10 ),
inference(subsumption_resolution,[],[f1309,f189]) ).
fof(f189,plain,
empty(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',fc4_relat_1) ).
fof(f1309,plain,
( ~ empty(empty_set)
| ~ spl21_6
| ~ spl21_10 ),
inference(resolution,[],[f1299,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t7_boole) ).
fof(f1299,plain,
( in(sK14(sK0,sK4(sK0)),empty_set)
| ~ spl21_6
| ~ spl21_10 ),
inference(forward_demodulation,[],[f1295,f308]) ).
fof(f308,plain,
( empty_set = relation_inverse_image(sK0,singleton(sK4(sK0)))
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl21_6
<=> empty_set = relation_inverse_image(sK0,singleton(sK4(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f1295,plain,
( in(sK14(sK0,sK4(sK0)),relation_inverse_image(sK0,singleton(sK4(sK0))))
| ~ spl21_10 ),
inference(resolution,[],[f758,f219]) ).
fof(f219,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK8(X0,X1) != X0
| ~ in(sK8(X0,X1),X1) )
& ( sK8(X0,X1) = X0
| in(sK8(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f105,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK8(X0,X1) != X0
| ~ in(sK8(X0,X1),X1) )
& ( sK8(X0,X1) = X0
| in(sK8(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',d1_tarski) ).
fof(f758,plain,
( ! [X0] :
( ~ in(sK4(sK0),X0)
| in(sK14(sK0,sK4(sK0)),relation_inverse_image(sK0,X0)) )
| ~ spl21_10 ),
inference(subsumption_resolution,[],[f757,f133]) ).
fof(f757,plain,
( ! [X0] :
( in(sK14(sK0,sK4(sK0)),relation_inverse_image(sK0,X0))
| ~ relation(sK0)
| ~ in(sK4(sK0),X0) )
| ~ spl21_10 ),
inference(subsumption_resolution,[],[f753,f134]) ).
fof(f753,plain,
( ! [X0] :
( in(sK14(sK0,sK4(sK0)),relation_inverse_image(sK0,X0))
| ~ function(sK0)
| ~ relation(sK0)
| ~ in(sK4(sK0),X0) )
| ~ spl21_10 ),
inference(resolution,[],[f387,f371]) ).
fof(f371,plain,
( in(sK4(sK0),relation_rng(sK0))
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_rng(X0))
| in(sK14(X0,X1),relation_inverse_image(X0,X2))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,X2) ),
inference(subsumption_resolution,[],[f381,f224]) ).
fof(f224,plain,
! [X0,X5] :
( in(sK14(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X5] :
( in(sK14(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK12(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK12(X0,X1),X1) )
& ( ( sK12(X0,X1) = apply(X0,sK13(X0,X1))
& in(sK13(X0,X1),relation_dom(X0)) )
| in(sK12(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK14(X0,X5)) = X5
& in(sK14(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f116,f119,f118,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK12(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK12(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK12(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK12(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK12(X0,X1) = apply(X0,sK13(X0,X1))
& in(sK13(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK14(X0,X5)) = X5
& in(sK14(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',d5_funct_1) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| in(sK14(X0,X1),relation_inverse_image(X0,X2))
| ~ in(sK14(X0,X1),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0)) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| in(sK14(X0,X1),relation_inverse_image(X0,X2))
| ~ in(sK14(X0,X1),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f213,f223]) ).
fof(f223,plain,
! [X0,X5] :
( apply(X0,sK14(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X5] :
( apply(X0,sK14(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f213,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,[],[f144]) ).
fof(f144,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,[],[f97]) ).
fof(f97,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])],[f95,f96]) ).
fof(f96,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(f95,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,[],[f94]) ).
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) ) ) )
& ( ! [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,[],[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(nnf_transformation,[],[f54]) ).
fof(f54,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,[],[f53]) ).
fof(f53,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,[],[f5]) ).
fof(f5,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/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',d13_funct_1) ).
fof(f1210,plain,
~ spl21_21,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl21_21 ),
inference(resolution,[],[f641,f177]) ).
fof(f177,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',reflexivity_r1_tarski) ).
fof(f641,plain,
( ! [X0] : ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl21_21
<=> ! [X0] : ~ subset(singleton(sK3(sK0,sK1)),singleton(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_21])]) ).
fof(f1202,plain,
( spl21_21
| ~ spl21_1
| ~ spl21_2
| ~ spl21_20 ),
inference(avatar_split_clause,[],[f1201,f636,f230,f226,f640]) ).
fof(f230,plain,
( spl21_2
<=> ! [X2] : ~ subset(relation_inverse_image(sK0,singleton(sK1)),singleton(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f636,plain,
( spl21_20
<=> in(sK1,relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f1201,plain,
( ! [X0] : ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f1200,f133]) ).
fof(f1200,plain,
( ! [X0] :
( ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ relation(sK0) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f1199,f134]) ).
fof(f1199,plain,
( ! [X0] :
( ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ function(sK0)
| ~ relation(sK0) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f1198,f227]) ).
fof(f227,plain,
( one_to_one(sK0)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f1198,plain,
( ! [X0] :
( ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) )
| ~ spl21_2
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f1194,f637]) ).
fof(f637,plain,
( in(sK1,relation_rng(sK0))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f1194,plain,
( ! [X0] :
( ~ subset(singleton(sK3(sK0,sK1)),singleton(X0))
| ~ in(sK1,relation_rng(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) )
| ~ spl21_2 ),
inference(superposition,[],[f231,f141]) ).
fof(f141,plain,
! [X0,X1] :
( relation_inverse_image(X0,singleton(X1)) = singleton(sK3(X0,X1))
| ~ in(X1,relation_rng(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f231,plain,
( ! [X2] : ~ subset(relation_inverse_image(sK0,singleton(sK1)),singleton(X2))
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f734,plain,
~ spl21_7,
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| ~ spl21_7 ),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
( ! [X0] : singleton(X0) != singleton(sK2(sK4(sK0)))
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl21_7
<=> ! [X0] : singleton(X0) != singleton(sK2(sK4(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f651,plain,
( ~ spl21_2
| spl21_20 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl21_2
| spl21_20 ),
inference(subsumption_resolution,[],[f648,f638]) ).
fof(f638,plain,
( ~ in(sK1,relation_rng(sK0))
| spl21_20 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f648,plain,
( in(sK1,relation_rng(sK0))
| ~ spl21_2 ),
inference(resolution,[],[f646,f154]) ).
fof(f154,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t56_zfmisc_1) ).
fof(f646,plain,
( ~ disjoint(singleton(sK1),relation_rng(sK0))
| ~ spl21_2 ),
inference(resolution,[],[f644,f194]) ).
fof(f194,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',symmetry_r1_xboole_0) ).
fof(f644,plain,
( ~ disjoint(relation_rng(sK0),singleton(sK1))
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f643,f133]) ).
fof(f643,plain,
( ~ disjoint(relation_rng(sK0),singleton(sK1))
| ~ relation(sK0)
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f631,f176]) ).
fof(f176,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t2_xboole_1) ).
fof(f631,plain,
( ! [X0] :
( ~ subset(empty_set,singleton(X0))
| ~ disjoint(relation_rng(sK0),singleton(sK1))
| ~ relation(sK0) )
| ~ spl21_2 ),
inference(superposition,[],[f231,f138]) ).
fof(f138,plain,
! [X0,X1] :
( empty_set = relation_inverse_image(X1,X0)
| ~ disjoint(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( empty_set = relation_inverse_image(X1,X0)
| ~ disjoint(relation_rng(X1),X0) )
& ( disjoint(relation_rng(X1),X0)
| empty_set != relation_inverse_image(X1,X0) ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( empty_set = relation_inverse_image(X1,X0)
<=> disjoint(relation_rng(X1),X0) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( relation(X1)
=> ( empty_set = relation_inverse_image(X1,X0)
<=> disjoint(relation_rng(X1),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t173_relat_1) ).
fof(f618,plain,
( spl21_6
| spl21_1
| spl21_7
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f617,f234,f310,f226,f306]) ).
fof(f234,plain,
( spl21_3
<=> ! [X3] : subset(relation_inverse_image(sK0,singleton(X3)),singleton(sK2(X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f617,plain,
( ! [X0] :
( singleton(X0) != singleton(sK2(sK4(sK0)))
| one_to_one(sK0)
| empty_set = relation_inverse_image(sK0,singleton(sK4(sK0))) )
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f616,f133]) ).
fof(f616,plain,
( ! [X0] :
( singleton(X0) != singleton(sK2(sK4(sK0)))
| one_to_one(sK0)
| ~ relation(sK0)
| empty_set = relation_inverse_image(sK0,singleton(sK4(sK0))) )
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f293,f134]) ).
fof(f293,plain,
( ! [X0] :
( singleton(X0) != singleton(sK2(sK4(sK0)))
| one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| empty_set = relation_inverse_image(sK0,singleton(sK4(sK0))) )
| ~ spl21_3 ),
inference(superposition,[],[f140,f278]) ).
fof(f278,plain,
( ! [X0] :
( relation_inverse_image(sK0,singleton(X0)) = singleton(sK2(X0))
| empty_set = relation_inverse_image(sK0,singleton(X0)) )
| ~ spl21_3 ),
inference(resolution,[],[f155,f235]) ).
fof(f235,plain,
( ! [X3] : subset(relation_inverse_image(sK0,singleton(X3)),singleton(sK2(X3)))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f155,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640',t39_zfmisc_1) ).
fof(f140,plain,
! [X0,X4] :
( singleton(X4) != relation_inverse_image(X0,singleton(sK4(X0)))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f236,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f135,f234,f226]) ).
fof(f135,plain,
! [X3] :
( subset(relation_inverse_image(sK0,singleton(X3)),singleton(sK2(X3)))
| one_to_one(sK0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f232,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f136,f230,f226]) ).
fof(f136,plain,
! [X2] :
( ~ subset(relation_inverse_image(sK0,singleton(sK1)),singleton(X2))
| ~ one_to_one(sK0) ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU078+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12 % 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
% 0.13/0.32 % Computer : n002.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Apr 30 16:30:10 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.33 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/tmp/tmp.wnpkVwOIyp/Vampire---4.8_7640
% 0.61/0.82 % (7758)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 % (7757)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 % (7756)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 % (7754)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 % (7759)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 % (7755)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 % (7760)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 % (7761)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 % (7761)Refutation not found, incomplete strategy% (7761)------------------------------
% 0.61/0.82 % (7761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (7761)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (7761)Memory used [KB]: 1062
% 0.61/0.82 % (7761)Time elapsed: 0.004 s
% 0.61/0.82 % (7761)Instructions burned: 4 (million)
% 0.61/0.82 % (7761)------------------------------
% 0.61/0.82 % (7761)------------------------------
% 0.61/0.82 % (7757)Refutation not found, incomplete strategy% (7757)------------------------------
% 0.61/0.82 % (7757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (7757)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (7757)Memory used [KB]: 1067
% 0.61/0.82 % (7757)Time elapsed: 0.005 s
% 0.61/0.82 % (7757)Instructions burned: 5 (million)
% 0.61/0.82 % (7757)------------------------------
% 0.61/0.82 % (7757)------------------------------
% 0.61/0.82 % (7754)Refutation not found, incomplete strategy% (7754)------------------------------
% 0.61/0.82 % (7754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (7754)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (7754)Memory used [KB]: 1103
% 0.61/0.82 % (7754)Time elapsed: 0.006 s
% 0.61/0.82 % (7754)Instructions burned: 8 (million)
% 0.61/0.82 % (7754)------------------------------
% 0.61/0.82 % (7754)------------------------------
% 0.61/0.82 % (7762)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)
% 0.61/0.82 % (7763)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 % (7764)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)
% 0.67/0.83 % (7758)Instruction limit reached!
% 0.67/0.83 % (7758)------------------------------
% 0.67/0.83 % (7758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.83 % (7758)Termination reason: Unknown
% 0.67/0.83 % (7758)Termination phase: Saturation
% 0.67/0.83
% 0.67/0.83 % (7758)Memory used [KB]: 1581
% 0.67/0.83 % (7758)Time elapsed: 0.019 s
% 0.67/0.83 % (7758)Instructions burned: 35 (million)
% 0.67/0.83 % (7758)------------------------------
% 0.67/0.83 % (7758)------------------------------
% 0.67/0.84 % (7765)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)
% 0.67/0.84 % (7759)Instruction limit reached!
% 0.67/0.84 % (7759)------------------------------
% 0.67/0.84 % (7759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (7759)Termination reason: Unknown
% 0.67/0.84 % (7759)Termination phase: Saturation
% 0.67/0.84
% 0.67/0.84 % (7759)Memory used [KB]: 1404
% 0.67/0.84 % (7759)Time elapsed: 0.024 s
% 0.67/0.84 % (7759)Instructions burned: 46 (million)
% 0.67/0.84 % (7759)------------------------------
% 0.67/0.84 % (7759)------------------------------
% 0.67/0.84 % (7755)Instruction limit reached!
% 0.67/0.84 % (7755)------------------------------
% 0.67/0.84 % (7755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (7755)Termination reason: Unknown
% 0.67/0.84 % (7755)Termination phase: Saturation
% 0.67/0.84
% 0.67/0.84 % (7755)Memory used [KB]: 1404
% 0.67/0.84 % (7755)Time elapsed: 0.027 s
% 0.67/0.84 % (7755)Instructions burned: 53 (million)
% 0.67/0.84 % (7755)------------------------------
% 0.67/0.84 % (7755)------------------------------
% 0.67/0.84 % (7766)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 (2994ds/518Mi)
% 0.67/0.85 % (7767)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.67/0.85 % (7763)Instruction limit reached!
% 0.67/0.85 % (7763)------------------------------
% 0.67/0.85 % (7763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (7763)Termination reason: Unknown
% 0.67/0.85 % (7763)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (7763)Memory used [KB]: 1658
% 0.67/0.85 % (7763)Time elapsed: 0.028 s
% 0.67/0.85 % (7763)Instructions burned: 51 (million)
% 0.67/0.85 % (7763)------------------------------
% 0.67/0.85 % (7763)------------------------------
% 0.67/0.85 % (7762)Instruction limit reached!
% 0.67/0.85 % (7762)------------------------------
% 0.67/0.85 % (7762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (7762)Termination reason: Unknown
% 0.67/0.85 % (7762)Termination phase: Saturation
% 0.67/0.85
% 0.67/0.85 % (7762)Memory used [KB]: 1740
% 0.67/0.85 % (7762)Time elapsed: 0.032 s
% 0.67/0.85 % (7762)Instructions burned: 56 (million)
% 0.67/0.85 % (7762)------------------------------
% 0.67/0.85 % (7762)------------------------------
% 0.67/0.85 % (7768)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.67/0.86 % (7769)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.67/0.86 % (7756)Instruction limit reached!
% 0.67/0.86 % (7756)------------------------------
% 0.67/0.86 % (7756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.86 % (7756)Termination reason: Unknown
% 0.67/0.86 % (7756)Termination phase: Saturation
% 0.67/0.86
% 0.67/0.86 % (7756)Memory used [KB]: 1924
% 0.67/0.86 % (7756)Time elapsed: 0.044 s
% 0.67/0.86 % (7756)Instructions burned: 78 (million)
% 0.67/0.86 % (7756)------------------------------
% 0.67/0.86 % (7756)------------------------------
% 0.86/0.86 % (7770)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.86/0.86 % (7760)Instruction limit reached!
% 0.86/0.86 % (7760)------------------------------
% 0.86/0.86 % (7760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.86 % (7760)Termination reason: Unknown
% 0.86/0.86 % (7760)Termination phase: Saturation
% 0.86/0.86
% 0.86/0.86 % (7760)Memory used [KB]: 2218
% 0.86/0.86 % (7760)Time elapsed: 0.049 s
% 0.86/0.86 % (7760)Instructions burned: 83 (million)
% 0.86/0.86 % (7760)------------------------------
% 0.86/0.86 % (7760)------------------------------
% 0.86/0.87 % (7771)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.86/0.87 % (7767)Instruction limit reached!
% 0.86/0.87 % (7767)------------------------------
% 0.86/0.87 % (7767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.87 % (7767)Termination reason: Unknown
% 0.86/0.87 % (7767)Termination phase: Saturation
% 0.86/0.87
% 0.86/0.87 % (7767)Memory used [KB]: 1506
% 0.86/0.87 % (7767)Time elapsed: 0.025 s
% 0.86/0.87 % (7767)Instructions burned: 43 (million)
% 0.86/0.87 % (7767)------------------------------
% 0.86/0.87 % (7767)------------------------------
% 0.86/0.87 % (7765)Instruction limit reached!
% 0.86/0.87 % (7765)------------------------------
% 0.86/0.87 % (7765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.87 % (7765)Termination reason: Unknown
% 0.86/0.87 % (7765)Termination phase: Saturation
% 0.86/0.87
% 0.86/0.87 % (7765)Memory used [KB]: 1603
% 0.86/0.87 % (7765)Time elapsed: 0.033 s
% 0.86/0.87 % (7765)Instructions burned: 53 (million)
% 0.86/0.87 % (7765)------------------------------
% 0.86/0.87 % (7765)------------------------------
% 0.86/0.87 % (7772)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.86/0.87 % (7773)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.86/0.89 % (7773)Instruction limit reached!
% 0.86/0.89 % (7773)------------------------------
% 0.86/0.89 % (7773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.89 % (7773)Termination reason: Unknown
% 0.86/0.89 % (7773)Termination phase: Saturation
% 0.86/0.89
% 0.86/0.89 % (7773)Memory used [KB]: 1365
% 0.86/0.89 % (7773)Time elapsed: 0.020 s
% 0.86/0.89 % (7773)Instructions burned: 34 (million)
% 0.86/0.89 % (7773)------------------------------
% 0.86/0.89 % (7773)------------------------------
% 0.86/0.90 % (7774)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.86/0.91 % (7771)Instruction limit reached!
% 0.86/0.91 % (7771)------------------------------
% 0.86/0.91 % (7771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.91 % (7771)Termination reason: Unknown
% 0.86/0.91 % (7771)Termination phase: Saturation
% 0.86/0.91 % (7772)Instruction limit reached!
% 0.86/0.91 % (7772)------------------------------
% 0.86/0.91 % (7772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.91 % (7772)Termination reason: Unknown
% 0.86/0.91 % (7772)Termination phase: Saturation
% 0.86/0.91
% 0.86/0.91 % (7772)Memory used [KB]: 2224
% 0.86/0.91 % (7772)Time elapsed: 0.038 s
% 0.86/0.91 % (7772)Instructions burned: 62 (million)
% 0.86/0.91 % (7772)------------------------------
% 0.86/0.91 % (7772)------------------------------
% 0.86/0.91
% 0.86/0.91 % (7771)Memory used [KB]: 1630
% 0.86/0.91 % (7771)Time elapsed: 0.042 s
% 0.86/0.91 % (7771)Instructions burned: 94 (million)
% 0.86/0.91 % (7771)------------------------------
% 0.86/0.91 % (7771)------------------------------
% 0.86/0.91 % (7775)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.86/0.91 % (7776)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.86/0.92 % (7769)Instruction limit reached!
% 0.86/0.92 % (7769)------------------------------
% 0.86/0.92 % (7769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.86/0.92 % (7769)Termination reason: Unknown
% 0.86/0.92 % (7769)Termination phase: Saturation
% 0.86/0.92
% 0.86/0.92 % (7769)Memory used [KB]: 1775
% 0.86/0.92 % (7769)Time elapsed: 0.065 s
% 0.86/0.92 % (7769)Instructions burned: 118 (million)
% 0.86/0.92 % (7769)------------------------------
% 0.86/0.92 % (7769)------------------------------
% 0.86/0.92 % (7777)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.14/0.93 % (7774)First to succeed.
% 1.14/0.93 % (7764)Instruction limit reached!
% 1.14/0.93 % (7764)------------------------------
% 1.14/0.93 % (7764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/0.93 % (7764)Termination reason: Unknown
% 1.14/0.93 % (7764)Termination phase: Saturation
% 1.14/0.93
% 1.14/0.93 % (7764)Memory used [KB]: 2727
% 1.14/0.93 % (7764)Time elapsed: 0.111 s
% 1.14/0.93 % (7764)Instructions burned: 208 (million)
% 1.14/0.93 % (7764)------------------------------
% 1.14/0.93 % (7764)------------------------------
% 1.14/0.94 % (7774)Refutation found. Thanks to Tanya!
% 1.14/0.94 % SZS status Theorem for Vampire---4
% 1.14/0.94 % SZS output start Proof for Vampire---4
% See solution above
% 1.14/0.94 % (7774)------------------------------
% 1.14/0.94 % (7774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/0.94 % (7774)Termination reason: Refutation
% 1.14/0.94
% 1.14/0.94 % (7774)Memory used [KB]: 1542
% 1.14/0.94 % (7774)Time elapsed: 0.041 s
% 1.14/0.94 % (7774)Instructions burned: 70 (million)
% 1.14/0.94 % (7774)------------------------------
% 1.14/0.94 % (7774)------------------------------
% 1.14/0.94 % (7749)Success in time 0.594 s
% 1.14/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------