TSTP Solution File: SET660+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : 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 : Wed May 1 03:48:31 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 171 ( 19 unt; 0 def)
% Number of atoms : 559 ( 39 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 672 ( 284 ~; 288 |; 23 &)
% ( 29 <=>; 46 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 237 ( 225 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f765,plain,
$false,
inference(avatar_sat_refutation,[],[f160,f177,f185,f194,f196,f274,f284,f357,f698,f711,f720,f762,f764]) ).
fof(f764,plain,
( spl24_18
| spl24_8
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f763,f692,f182,f696]) ).
fof(f696,plain,
( spl24_18
<=> ! [X0] :
( ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f182,plain,
( spl24_8
<=> sK1 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f692,plain,
( spl24_17
<=> member(sK5(sF22,sK1),sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f763,plain,
( ! [X0] :
( ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0) )
| spl24_8
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f736,f183]) ).
fof(f183,plain,
( sK1 != sF22
| spl24_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f736,plain,
( ! [X0] :
( ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0)
| sK1 = sF22 )
| ~ spl24_17 ),
inference(resolution,[],[f694,f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ member(sK5(X0,X1),X0)
| ~ member(X2,power_set(X1))
| ~ member(sK5(X0,X1),X2)
| X0 = X1 ),
inference(resolution,[],[f317,f289]) ).
fof(f289,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| ~ member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f288,f88]) ).
fof(f88,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p34) ).
fof(f288,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| ~ member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f81,f88]) ).
fof(f81,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| ~ member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2] :
( ( member(X2,X0)
<=> member(X2,X1) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
<=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p19) ).
fof(f317,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f316,f88]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f315,f88]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f125,f88]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p22) ).
fof(f694,plain,
( member(sK5(sF22,sK1),sF22)
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f762,plain,
( ~ spl24_17
| ~ spl24_18 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl24_17
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f759,f251]) ).
fof(f251,plain,
ilf_type(sF22,subset_type(sK1)),
inference(subsumption_resolution,[],[f250,f199]) ).
fof(f199,plain,
ilf_type(sK2,relation_type(sK0,sK1)),
inference(backward_demodulation,[],[f140,f139]) ).
fof(f139,plain,
relation_type(sK0,sK1) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f140,plain,
ilf_type(sK2,sF20),
inference(definition_folding,[],[f77,f139]) ).
fof(f77,plain,
ilf_type(sK2,relation_type(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',prove_relset_1_23) ).
fof(f250,plain,
( ilf_type(sF22,subset_type(sK1))
| ~ ilf_type(sK2,relation_type(sK0,sK1)) ),
inference(superposition,[],[f249,f143]) ).
fof(f143,plain,
range(sK0,sK1,sK2) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f248,f88]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(subsumption_resolution,[],[f105,f88]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p33) ).
fof(f759,plain,
( ~ ilf_type(sF22,subset_type(sK1))
| ~ spl24_17
| ~ spl24_18 ),
inference(resolution,[],[f742,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f227,f88]) ).
fof(f227,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f122,f88]) ).
fof(f122,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p17) ).
fof(f742,plain,
( ~ ilf_type(sF22,member_type(power_set(sK1)))
| ~ spl24_17
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f741,f200]) ).
fof(f200,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f111,f88]) ).
fof(f111,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p23) ).
fof(f741,plain,
( empty(power_set(sK1))
| ~ ilf_type(sF22,member_type(power_set(sK1)))
| ~ spl24_17
| ~ spl24_18 ),
inference(resolution,[],[f735,f224]) ).
fof(f224,plain,
! [X0,X1] :
( member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f223,f88]) ).
fof(f223,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f110,f88]) ).
fof(f110,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| empty(X1)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p24) ).
fof(f735,plain,
( ~ member(sF22,power_set(sK1))
| ~ spl24_17
| ~ spl24_18 ),
inference(resolution,[],[f694,f697]) ).
fof(f697,plain,
( ! [X0] :
( ~ member(sK5(sF22,sK1),X0)
| ~ member(X0,power_set(sK1)) )
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f720,plain,
spl24_19,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| spl24_19 ),
inference(subsumption_resolution,[],[f716,f710]) ).
fof(f710,plain,
( ~ member(sK1,power_set(sK1))
| spl24_19 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl24_19
<=> member(sK1,power_set(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f716,plain,
( member(sK1,power_set(sK1))
| spl24_19 ),
inference(resolution,[],[f712,f230]) ).
fof(f230,plain,
! [X0,X1] :
( member(sK16(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f229,f88]) ).
fof(f229,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK16(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f127,f88]) ).
fof(f127,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK16(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f712,plain,
( ~ member(sK16(sK1,sK1),sK1)
| spl24_19 ),
inference(resolution,[],[f710,f232]) ).
fof(f232,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK16(X0,X1),X1) ),
inference(subsumption_resolution,[],[f231,f88]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK16(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f128,f88]) ).
fof(f128,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK16(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f711,plain,
( spl24_17
| ~ spl24_19
| spl24_8
| ~ spl24_18 ),
inference(avatar_split_clause,[],[f706,f696,f182,f708,f692]) ).
fof(f706,plain,
( ~ member(sK1,power_set(sK1))
| member(sK5(sF22,sK1),sF22)
| spl24_8
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f699,f183]) ).
fof(f699,plain,
( ~ member(sK1,power_set(sK1))
| member(sK5(sF22,sK1),sF22)
| sK1 = sF22
| ~ spl24_18 ),
inference(resolution,[],[f697,f286]) ).
fof(f286,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f285,f88]) ).
fof(f285,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK5(X0,X1),X1)
| member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f80,f88]) ).
fof(f80,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK5(X0,X1),X1)
| member(sK5(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f40]) ).
fof(f698,plain,
( spl24_17
| spl24_18
| ~ spl24_7
| spl24_8
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f690,f272,f182,f179,f696,f692]) ).
fof(f179,plain,
( spl24_7
<=> ! [X3] :
( ~ ilf_type(X3,set_type)
| member(sF23(X3),sK2)
| ~ member(X3,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f272,plain,
( spl24_11
<=> ! [X0,X1] :
( member(X0,sF22)
| ~ member(ordered_pair(X1,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f690,plain,
( ! [X0] :
( ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0)
| member(sK5(sF22,sK1),sF22) )
| ~ spl24_7
| spl24_8
| ~ spl24_11 ),
inference(subsumption_resolution,[],[f689,f183]) ).
fof(f689,plain,
( ! [X0] :
( sK1 = sF22
| ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0)
| member(sK5(sF22,sK1),sF22) )
| ~ spl24_7
| ~ spl24_11 ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
( ! [X0] :
( sK1 = sF22
| ~ member(X0,power_set(sK1))
| ~ member(sK5(sF22,sK1),X0)
| member(sK5(sF22,sK1),sF22)
| sK1 = sF22 )
| ~ spl24_7
| ~ spl24_11 ),
inference(resolution,[],[f672,f286]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ member(sK5(sF22,X0),sK1)
| sF22 = X0
| ~ member(X1,power_set(X0))
| ~ member(sK5(sF22,X0),X1) )
| ~ spl24_7
| ~ spl24_11 ),
inference(resolution,[],[f398,f204]) ).
fof(f204,plain,
( ! [X3] :
( member(ordered_pair(sK4(X3),X3),sK2)
| ~ member(X3,sK1) )
| ~ spl24_7 ),
inference(backward_demodulation,[],[f197,f144]) ).
fof(f144,plain,
! [X3] : ordered_pair(sK4(X3),X3) = sF23(X3),
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f197,plain,
( ! [X3] :
( member(sF23(X3),sK2)
| ~ member(X3,sK1) )
| ~ spl24_7 ),
inference(subsumption_resolution,[],[f180,f88]) ).
fof(f180,plain,
( ! [X3] :
( member(sF23(X3),sK2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,sK1) )
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f398,plain,
( ! [X2,X0,X1] :
( ~ member(ordered_pair(X2,sK5(sF22,X1)),sK2)
| ~ member(sK5(sF22,X1),X0)
| sF22 = X1
| ~ member(X0,power_set(X1)) )
| ~ spl24_11 ),
inference(resolution,[],[f367,f273]) ).
fof(f273,plain,
( ! [X0,X1] :
( member(X0,sF22)
| ~ member(ordered_pair(X1,X0),sK2) )
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f357,plain,
( ~ spl24_1
| ~ spl24_5
| ~ spl24_8
| ~ spl24_10 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl24_1
| ~ spl24_5
| ~ spl24_8
| ~ spl24_10 ),
inference(subsumption_resolution,[],[f355,f155]) ).
fof(f155,plain,
( member(sK3,sK1)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl24_1
<=> member(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f355,plain,
( ~ member(sK3,sK1)
| ~ spl24_5
| ~ spl24_8
| ~ spl24_10 ),
inference(forward_demodulation,[],[f351,f340]) ).
fof(f340,plain,
( sK1 = range_of(sK2)
| ~ spl24_8 ),
inference(backward_demodulation,[],[f257,f184]) ).
fof(f184,plain,
( sK1 = sF22
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f257,plain,
sF22 = range_of(sK2),
inference(subsumption_resolution,[],[f255,f199]) ).
fof(f255,plain,
( sF22 = range_of(sK2)
| ~ ilf_type(sK2,relation_type(sK0,sK1)) ),
inference(superposition,[],[f253,f143]) ).
fof(f253,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f252,f88]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(subsumption_resolution,[],[f106,f88]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p32) ).
fof(f351,plain,
( ~ member(sK3,range_of(sK2))
| ~ spl24_5
| ~ spl24_10 ),
inference(subsumption_resolution,[],[f349,f269]) ).
fof(f269,plain,
( ilf_type(sK2,binary_relation_type)
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl24_10
<=> ilf_type(sK2,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f349,plain,
( ~ ilf_type(sK2,binary_relation_type)
| ~ member(sK3,range_of(sK2))
| ~ spl24_5 ),
inference(resolution,[],[f201,f236]) ).
fof(f236,plain,
! [X0,X1] :
( member(ordered_pair(sK11(X0,X1),X1),X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0)) ),
inference(subsumption_resolution,[],[f102,f88]) ).
fof(f102,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(sK11(X0,X1),X1),X0)
| ~ member(X1,range_of(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p1) ).
fof(f201,plain,
( ! [X4] : ~ member(ordered_pair(X4,sK3),sK2)
| ~ spl24_5 ),
inference(backward_demodulation,[],[f198,f141]) ).
fof(f141,plain,
! [X4] : ordered_pair(X4,sK3) = sF21(X4),
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f198,plain,
( ! [X4] : ~ member(sF21(X4),sK2)
| ~ spl24_5 ),
inference(subsumption_resolution,[],[f172,f88]) ).
fof(f172,plain,
( ! [X4] :
( ~ member(sF21(X4),sK2)
| ~ ilf_type(X4,set_type) )
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl24_5
<=> ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(sF21(X4),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f284,plain,
spl24_10,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| spl24_10 ),
inference(subsumption_resolution,[],[f199,f280]) ).
fof(f280,plain,
( ! [X0,X1] : ~ ilf_type(sK2,relation_type(X0,X1))
| spl24_10 ),
inference(resolution,[],[f277,f238]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f237,f88]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f123,f88]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p7) ).
fof(f277,plain,
( ! [X0,X1] : ~ ilf_type(sK2,subset_type(cross_product(X0,X1)))
| spl24_10 ),
inference(resolution,[],[f275,f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f218,f88]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f113,f88]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p27) ).
fof(f275,plain,
( ~ relation_like(sK2)
| spl24_10 ),
inference(resolution,[],[f270,f209]) ).
fof(f209,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f115,f88]) ).
fof(f115,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p15) ).
fof(f270,plain,
( ~ ilf_type(sK2,binary_relation_type)
| spl24_10 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f274,plain,
( ~ spl24_10
| spl24_11 ),
inference(avatar_split_clause,[],[f262,f272,f268]) ).
fof(f262,plain,
! [X0,X1] :
( member(X0,sF22)
| ~ member(ordered_pair(X1,X0),sK2)
| ~ ilf_type(sK2,binary_relation_type) ),
inference(superposition,[],[f247,f257]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f246,f88]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(subsumption_resolution,[],[f100,f88]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485',p3) ).
fof(f196,plain,
( ~ spl24_6
| ~ spl24_8 ),
inference(avatar_split_clause,[],[f192,f182,f174]) ).
fof(f174,plain,
( spl24_6
<=> sP19(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f192,plain,
( ~ sP19(sK1)
| ~ spl24_8 ),
inference(backward_demodulation,[],[f147,f184]) ).
fof(f147,plain,
~ sP19(sF22),
inference(definition_folding,[],[f135,f143]) ).
fof(f135,plain,
~ sP19(range(sK0,sK1,sK2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP19])]) ).
fof(f194,plain,
( ~ spl24_2
| ~ spl24_8 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| ~ spl24_2
| ~ spl24_8 ),
inference(subsumption_resolution,[],[f190,f159]) ).
fof(f159,plain,
( sP17(sK1)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl24_2
<=> sP17(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f190,plain,
( ~ sP17(sK1)
| ~ spl24_8 ),
inference(backward_demodulation,[],[f149,f184]) ).
fof(f149,plain,
~ sP17(sF22),
inference(definition_folding,[],[f131,f143]) ).
fof(f131,plain,
~ sP17(range(sK0,sK1,sK2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP17])]) ).
fof(f185,plain,
( spl24_7
| spl24_8 ),
inference(avatar_split_clause,[],[f145,f182,f179]) ).
fof(f145,plain,
! [X3] :
( sK1 = sF22
| ~ ilf_type(X3,set_type)
| ~ member(X3,sK1)
| member(sF23(X3),sK2) ),
inference(definition_folding,[],[f73,f144,f143]) ).
fof(f73,plain,
! [X3] :
( sK1 = range(sK0,sK1,sK2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,sK1)
| member(ordered_pair(sK4(X3),X3),sK2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f177,plain,
( spl24_5
| spl24_6 ),
inference(avatar_split_clause,[],[f142,f174,f171]) ).
fof(f142,plain,
! [X4] :
( sP19(sK1)
| ~ ilf_type(X4,set_type)
| ~ member(sF21(X4),sK2) ),
inference(definition_folding,[],[f136,f141]) ).
fof(f136,plain,
! [X4] :
( sP19(sK1)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,sK3),sK2) ),
inference(inequality_splitting,[],[f74,f135]) ).
fof(f74,plain,
! [X4] :
( sK1 != range(sK0,sK1,sK2)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,sK3),sK2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f160,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f132,f157,f153]) ).
fof(f132,plain,
( sP17(sK1)
| member(sK3,sK1) ),
inference(inequality_splitting,[],[f76,f131]) ).
fof(f76,plain,
( sK1 != range(sK0,sK1,sK2)
| member(sK3,sK1) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:02:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.V7sVpR0WMO/Vampire---4.8_27485
% 0.57/0.75 % (27853)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)
% 0.57/0.75 % (27846)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 % (27848)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 % (27847)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 % (27850)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 % (27849)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 % (27851)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 % (27852)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 % (27853)Refutation not found, incomplete strategy% (27853)------------------------------
% 0.57/0.75 % (27853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27853)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27853)Memory used [KB]: 1061
% 0.57/0.75 % (27853)Time elapsed: 0.003 s
% 0.57/0.75 % (27853)Instructions burned: 4 (million)
% 0.57/0.75 % (27853)------------------------------
% 0.57/0.75 % (27853)------------------------------
% 0.57/0.75 % (27851)Refutation not found, incomplete strategy% (27851)------------------------------
% 0.57/0.75 % (27851)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27851)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27851)Memory used [KB]: 1057
% 0.57/0.75 % (27851)Time elapsed: 0.004 s
% 0.57/0.75 % (27851)Instructions burned: 4 (million)
% 0.57/0.75 % (27851)------------------------------
% 0.57/0.75 % (27851)------------------------------
% 0.57/0.75 % (27849)Refutation not found, incomplete strategy% (27849)------------------------------
% 0.57/0.75 % (27849)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27849)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27849)Memory used [KB]: 1066
% 0.57/0.75 % (27849)Time elapsed: 0.004 s
% 0.57/0.75 % (27849)Instructions burned: 4 (million)
% 0.57/0.75 % (27849)------------------------------
% 0.57/0.75 % (27849)------------------------------
% 0.57/0.75 % (27857)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)
% 0.57/0.75 % (27846)Refutation not found, incomplete strategy% (27846)------------------------------
% 0.57/0.75 % (27846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27846)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27846)Memory used [KB]: 1163
% 0.57/0.75 % (27846)Time elapsed: 0.007 s
% 0.57/0.75 % (27846)Instructions burned: 9 (million)
% 0.57/0.75 % (27846)------------------------------
% 0.57/0.75 % (27846)------------------------------
% 0.57/0.75 % (27860)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)
% 0.57/0.75 % (27861)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)
% 0.57/0.76 % (27864)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)
% 0.61/0.76 % (27850)Instruction limit reached!
% 0.61/0.76 % (27850)------------------------------
% 0.61/0.76 % (27850)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (27850)Termination reason: Unknown
% 0.61/0.76 % (27850)Termination phase: Saturation
% 0.61/0.76
% 0.61/0.76 % (27850)Memory used [KB]: 1488
% 0.61/0.77 % (27850)Time elapsed: 0.020 s
% 0.61/0.77 % (27850)Instructions burned: 34 (million)
% 0.61/0.77 % (27850)------------------------------
% 0.61/0.77 % (27850)------------------------------
% 0.61/0.77 % (27857)Instruction limit reached!
% 0.61/0.77 % (27857)------------------------------
% 0.61/0.77 % (27857)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (27857)Termination reason: Unknown
% 0.61/0.77 % (27857)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (27857)Memory used [KB]: 1708
% 0.61/0.77 % (27857)Time elapsed: 0.019 s
% 0.61/0.77 % (27857)Instructions burned: 55 (million)
% 0.61/0.77 % (27857)------------------------------
% 0.61/0.77 % (27857)------------------------------
% 0.61/0.77 % (27872)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 (2996ds/518Mi)
% 0.61/0.77 % (27873)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 (2996ds/42Mi)
% 0.61/0.77 % (27873)Refutation not found, incomplete strategy% (27873)------------------------------
% 0.61/0.77 % (27873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (27873)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (27873)Memory used [KB]: 1132
% 0.61/0.77 % (27873)Time elapsed: 0.003 s
% 0.61/0.77 % (27873)Instructions burned: 7 (million)
% 0.61/0.77 % (27873)------------------------------
% 0.61/0.77 % (27873)------------------------------
% 0.61/0.77 % (27872)Refutation not found, incomplete strategy% (27872)------------------------------
% 0.61/0.77 % (27872)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (27872)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (27872)Memory used [KB]: 1148
% 0.61/0.77 % (27872)Time elapsed: 0.007 s
% 0.61/0.77 % (27872)Instructions burned: 8 (million)
% 0.61/0.77 % (27872)------------------------------
% 0.61/0.77 % (27872)------------------------------
% 0.61/0.78 % (27879)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 (2996ds/243Mi)
% 0.61/0.78 % (27847)Instruction limit reached!
% 0.61/0.78 % (27847)------------------------------
% 0.61/0.78 % (27847)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (27847)Termination reason: Unknown
% 0.61/0.78 % (27847)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (27847)Memory used [KB]: 1591
% 0.61/0.78 % (27847)Time elapsed: 0.031 s
% 0.61/0.78 % (27847)Instructions burned: 51 (million)
% 0.61/0.78 % (27847)------------------------------
% 0.61/0.78 % (27847)------------------------------
% 0.61/0.78 % (27881)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 (2996ds/117Mi)
% 0.61/0.78 % (27884)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 (2996ds/143Mi)
% 0.61/0.78 % (27860)Instruction limit reached!
% 0.61/0.78 % (27860)------------------------------
% 0.61/0.78 % (27860)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (27860)Termination reason: Unknown
% 0.61/0.78 % (27860)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (27860)Memory used [KB]: 1564
% 0.61/0.78 % (27860)Time elapsed: 0.029 s
% 0.61/0.78 % (27860)Instructions burned: 52 (million)
% 0.61/0.78 % (27860)------------------------------
% 0.61/0.78 % (27860)------------------------------
% 0.61/0.79 % (27889)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 (2995ds/93Mi)
% 0.61/0.79 % (27864)Instruction limit reached!
% 0.61/0.79 % (27864)------------------------------
% 0.61/0.79 % (27864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (27864)Termination reason: Unknown
% 0.61/0.79 % (27864)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (27864)Memory used [KB]: 1617
% 0.61/0.79 % (27864)Time elapsed: 0.033 s
% 0.61/0.79 % (27864)Instructions burned: 53 (million)
% 0.61/0.79 % (27864)------------------------------
% 0.61/0.79 % (27864)------------------------------
% 0.61/0.79 % (27848)Instruction limit reached!
% 0.61/0.79 % (27848)------------------------------
% 0.61/0.79 % (27848)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (27848)Termination reason: Unknown
% 0.61/0.79 % (27848)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (27848)Memory used [KB]: 1929
% 0.61/0.79 % (27848)Time elapsed: 0.045 s
% 0.61/0.79 % (27848)Instructions burned: 79 (million)
% 0.61/0.79 % (27848)------------------------------
% 0.61/0.79 % (27848)------------------------------
% 0.61/0.79 % (27893)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 (2995ds/62Mi)
% 0.61/0.79 % (27894)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 (2995ds/32Mi)
% 0.61/0.80 % (27852)Instruction limit reached!
% 0.61/0.80 % (27852)------------------------------
% 0.61/0.80 % (27852)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27852)Termination reason: Unknown
% 0.61/0.80 % (27879)First to succeed.
% 0.61/0.80 % (27852)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (27852)Memory used [KB]: 2164
% 0.61/0.80 % (27852)Time elapsed: 0.050 s
% 0.61/0.80 % (27852)Instructions burned: 83 (million)
% 0.61/0.80 % (27852)------------------------------
% 0.61/0.80 % (27852)------------------------------
% 0.61/0.80 % (27879)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (27879)------------------------------
% 0.61/0.80 % (27879)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27879)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (27879)Memory used [KB]: 1455
% 0.61/0.80 % (27879)Time elapsed: 0.022 s
% 0.61/0.80 % (27879)Instructions burned: 60 (million)
% 0.61/0.80 % (27879)------------------------------
% 0.61/0.80 % (27879)------------------------------
% 0.61/0.80 % (27739)Success in time 0.418 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------