TSTP Solution File: HAL002+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HAL002+1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n014.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 06:11:10 EDT 2024
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 188 ( 5 unt; 0 def)
% Number of atoms : 602 ( 135 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 706 ( 292 ~; 313 |; 50 &)
% ( 24 <=>; 26 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 265 ( 256 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f751,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f127,f176,f189,f192,f219,f236,f248,f250,f299,f320,f325,f336,f346,f355,f385,f387,f420,f422,f470,f680,f728,f730,f741,f749,f750]) ).
fof(f750,plain,
( spl9_13
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f399,f123,f313]) ).
fof(f313,plain,
( spl9_13
<=> ! [X0] :
( zero(any2) != apply(x,X0)
| ~ element(X0,any1)
| zero(any1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f123,plain,
( spl9_2
<=> injection_2(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f399,plain,
( ! [X0] :
( ~ element(X0,any1)
| zero(any2) != apply(x,X0)
| zero(any1) = X0 )
| ~ spl9_2 ),
inference(resolution,[],[f357,f113]) ).
fof(f113,plain,
morphism(x,any1,any2),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
morphism(x,any1,any2),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',x_morphism) ).
fof(f357,plain,
( ! [X2,X0,X1] :
( ~ morphism(x,X2,X1)
| ~ element(X0,X2)
| zero(X1) != apply(x,X0)
| zero(X2) = X0 )
| ~ spl9_2 ),
inference(resolution,[],[f124,f109]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ injection_2(X0)
| apply(X0,X3) != zero(X2)
| ~ element(X3,X1)
| ~ morphism(X0,X1,X2)
| zero(X1) = X3 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ! [X3] :
( zero(X1) = X3
| apply(X0,X3) != zero(X2)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2)
| ~ injection_2(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ! [X3] :
( zero(X1) = X3
| apply(X0,X3) != zero(X2)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2)
| ~ injection_2(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( morphism(X0,X1,X2)
& injection_2(X0) )
=> ! [X3] :
( ( apply(X0,X3) = zero(X2)
& element(X3,X1) )
=> zero(X1) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',injection_properties_2) ).
fof(f124,plain,
( injection_2(x)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f749,plain,
( ~ spl9_18
| spl9_23
| ~ spl9_52 ),
inference(avatar_split_clause,[],[f745,f738,f405,f368]) ).
fof(f368,plain,
( spl9_18
<=> element(sK1(x,any1),any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).
fof(f405,plain,
( spl9_23
<=> sK0(x,any1) = sK1(x,any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).
fof(f738,plain,
( spl9_52
<=> sK0(x,any1) = subtract(any1,sK1(x,any1),zero(any1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_52])]) ).
fof(f745,plain,
( sK0(x,any1) = sK1(x,any1)
| ~ element(sK1(x,any1),any1)
| ~ spl9_52 ),
inference(superposition,[],[f155,f740]) ).
fof(f740,plain,
( sK0(x,any1) = subtract(any1,sK1(x,any1),zero(any1))
| ~ spl9_52 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f155,plain,
! [X0,X1] :
( subtract(X0,X1,zero(X0)) = X1
| ~ element(X1,X0) ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( subtract(X0,X1,zero(X0)) = X1
| ~ element(X1,X0)
| ~ element(X1,X0)
| ~ element(X1,X0) ),
inference(superposition,[],[f107,f106]) ).
fof(f106,plain,
! [X0,X1] :
( zero(X0) = subtract(X0,X1,X1)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( zero(X0) = subtract(X0,X1,X1)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( element(X1,X0)
=> zero(X0) = subtract(X0,X1,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3] :
( element(X3,X1)
=> zero(X1) = subtract(X1,X3,X3) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',subtract_to_0) ).
fof(f107,plain,
! [X2,X0,X1] :
( subtract(X0,X1,subtract(X0,X1,X2)) = X2
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( subtract(X0,X1,subtract(X0,X1,X2)) = X2
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( subtract(X0,X1,subtract(X0,X1,X2)) = X2
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0) )
=> subtract(X0,X1,subtract(X0,X1,X2)) = X2 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X4,X5] :
( ( element(X5,X1)
& element(X4,X1) )
=> subtract(X1,X4,subtract(X1,X4,X5)) = X5 ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',subtract_cancellation) ).
fof(f741,plain,
( ~ spl9_18
| ~ spl9_24
| spl9_52
| ~ spl9_51 ),
inference(avatar_split_clause,[],[f734,f725,f738,f409,f368]) ).
fof(f409,plain,
( spl9_24
<=> element(sK0(x,any1),any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f725,plain,
( spl9_51
<=> zero(any1) = subtract(any1,sK1(x,any1),sK0(x,any1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_51])]) ).
fof(f734,plain,
( sK0(x,any1) = subtract(any1,sK1(x,any1),zero(any1))
| ~ element(sK0(x,any1),any1)
| ~ element(sK1(x,any1),any1)
| ~ spl9_51 ),
inference(superposition,[],[f107,f727]) ).
fof(f727,plain,
( zero(any1) = subtract(any1,sK1(x,any1),sK0(x,any1))
| ~ spl9_51 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f730,plain,
( ~ spl9_18
| ~ spl9_24
| spl9_49 ),
inference(avatar_split_clause,[],[f729,f716,f409,f368]) ).
fof(f716,plain,
( spl9_49
<=> element(subtract(any1,sK1(x,any1),sK0(x,any1)),any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_49])]) ).
fof(f729,plain,
( ~ element(sK0(x,any1),any1)
| ~ element(sK1(x,any1),any1)
| spl9_49 ),
inference(resolution,[],[f718,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0) )
=> element(subtract(X0,X1,X2),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X4,X5] :
( ( element(X5,X1)
& element(X4,X1) )
=> element(subtract(X1,X4,X5),X1) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',subtract_in_domain) ).
fof(f718,plain,
( ~ element(subtract(any1,sK1(x,any1),sK0(x,any1)),any1)
| spl9_49 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f728,plain,
( spl9_51
| ~ spl9_49
| ~ spl9_13
| ~ spl9_45 ),
inference(avatar_split_clause,[],[f713,f677,f313,f716,f725]) ).
fof(f677,plain,
( spl9_45
<=> zero(any2) = apply(x,subtract(any1,sK1(x,any1),sK0(x,any1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_45])]) ).
fof(f713,plain,
( ~ element(subtract(any1,sK1(x,any1),sK0(x,any1)),any1)
| zero(any1) = subtract(any1,sK1(x,any1),sK0(x,any1))
| ~ spl9_13
| ~ spl9_45 ),
inference(trivial_inequality_removal,[],[f711]) ).
fof(f711,plain,
( zero(any2) != zero(any2)
| ~ element(subtract(any1,sK1(x,any1),sK0(x,any1)),any1)
| zero(any1) = subtract(any1,sK1(x,any1),sK0(x,any1))
| ~ spl9_13
| ~ spl9_45 ),
inference(superposition,[],[f314,f679]) ).
fof(f679,plain,
( zero(any2) = apply(x,subtract(any1,sK1(x,any1),sK0(x,any1)))
| ~ spl9_45 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f314,plain,
( ! [X0] :
( zero(any2) != apply(x,X0)
| ~ element(X0,any1)
| zero(any1) = X0 )
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f680,plain,
( ~ spl9_18
| spl9_45
| spl9_1
| ~ spl9_6
| ~ spl9_18
| ~ spl9_28 ),
inference(avatar_split_clause,[],[f675,f467,f368,f215,f119,f677,f368]) ).
fof(f119,plain,
( spl9_1
<=> injection(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f215,plain,
( spl9_6
<=> zero(any2) = apply(x,zero(any1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f467,plain,
( spl9_28
<=> apply(x,subtract(any1,sK1(x,any1),sK0(x,any1))) = subtract(any2,apply(x,sK0(x,any1)),apply(x,sK0(x,any1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_28])]) ).
fof(f675,plain,
( zero(any2) = apply(x,subtract(any1,sK1(x,any1),sK0(x,any1)))
| ~ element(sK1(x,any1),any1)
| spl9_1
| ~ spl9_6
| ~ spl9_18
| ~ spl9_28 ),
inference(forward_demodulation,[],[f671,f217]) ).
fof(f217,plain,
( zero(any2) = apply(x,zero(any1))
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f671,plain,
( apply(x,zero(any1)) = apply(x,subtract(any1,sK1(x,any1),sK0(x,any1)))
| ~ element(sK1(x,any1),any1)
| spl9_1
| ~ spl9_18
| ~ spl9_28 ),
inference(superposition,[],[f571,f106]) ).
fof(f571,plain,
( apply(x,subtract(any1,sK1(x,any1),sK0(x,any1))) = apply(x,subtract(any1,sK1(x,any1),sK1(x,any1)))
| spl9_1
| ~ spl9_18
| ~ spl9_28 ),
inference(forward_demodulation,[],[f570,f469]) ).
fof(f469,plain,
( apply(x,subtract(any1,sK1(x,any1),sK0(x,any1))) = subtract(any2,apply(x,sK0(x,any1)),apply(x,sK0(x,any1)))
| ~ spl9_28 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f570,plain,
( subtract(any2,apply(x,sK0(x,any1)),apply(x,sK0(x,any1))) = apply(x,subtract(any1,sK1(x,any1),sK1(x,any1)))
| spl9_1
| ~ spl9_18 ),
inference(forward_demodulation,[],[f556,f358]) ).
fof(f358,plain,
( apply(x,sK0(x,any1)) = apply(x,sK1(x,any1))
| spl9_1 ),
inference(resolution,[],[f356,f113]) ).
fof(f356,plain,
( ! [X0,X1] :
( ~ morphism(x,X0,X1)
| apply(x,sK0(x,X0)) = apply(x,sK1(x,X0)) )
| spl9_1 ),
inference(resolution,[],[f121,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( injection(X0)
| apply(X0,sK0(X0,X1)) = apply(X0,sK1(X0,X1))
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( injection(X0)
| ( sK0(X0,X1) != sK1(X0,X1)
& apply(X0,sK0(X0,X1)) = apply(X0,sK1(X0,X1))
& element(sK1(X0,X1),X1)
& element(sK0(X0,X1),X1) )
| ~ morphism(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X3,X4] :
( X3 != X4
& apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
=> ( sK0(X0,X1) != sK1(X0,X1)
& apply(X0,sK0(X0,X1)) = apply(X0,sK1(X0,X1))
& element(sK1(X0,X1),X1)
& element(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( injection(X0)
| ? [X3,X4] :
( X3 != X4
& apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( injection(X0)
| ? [X3,X4] :
( X3 != X4
& apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
=> X3 = X4 )
& morphism(X0,X1,X2) )
=> injection(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( ! [X4,X5] :
( ( apply(X0,X4) = apply(X0,X5)
& element(X5,X1)
& element(X4,X1) )
=> X4 = X5 )
& morphism(X0,X1,X2) )
=> injection(X0) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',properties_for_injection) ).
fof(f121,plain,
( ~ injection(x)
| spl9_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f556,plain,
( subtract(any2,apply(x,sK1(x,any1)),apply(x,sK0(x,any1))) = apply(x,subtract(any1,sK1(x,any1),sK1(x,any1)))
| spl9_1
| ~ spl9_18 ),
inference(resolution,[],[f442,f369]) ).
fof(f369,plain,
( element(sK1(x,any1),any1)
| ~ spl9_18 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f442,plain,
( ! [X0] :
( ~ element(X0,any1)
| apply(x,subtract(any1,X0,sK1(x,any1))) = subtract(any2,apply(x,X0),apply(x,sK0(x,any1))) )
| spl9_1
| ~ spl9_18 ),
inference(forward_demodulation,[],[f427,f358]) ).
fof(f427,plain,
( ! [X0] :
( ~ element(X0,any1)
| apply(x,subtract(any1,X0,sK1(x,any1))) = subtract(any2,apply(x,X0),apply(x,sK1(x,any1))) )
| ~ spl9_18 ),
inference(resolution,[],[f425,f369]) ).
fof(f425,plain,
! [X0,X1] :
( ~ element(X0,any1)
| ~ element(X1,any1)
| apply(x,subtract(any1,X1,X0)) = subtract(any2,apply(x,X1),apply(x,X0)) ),
inference(resolution,[],[f108,f113]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X0,X1,X2)
| ~ element(X4,X1)
| ~ element(X3,X1)
| apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4))
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4))
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ! [X3,X4] :
( ( element(X4,X1)
& element(X3,X1) )
=> apply(X0,subtract(X1,X3,X4)) = subtract(X2,apply(X0,X3),apply(X0,X4)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ! [X4,X5] :
( ( element(X5,X1)
& element(X4,X1) )
=> apply(X0,subtract(X1,X4,X5)) = subtract(X2,apply(X0,X4),apply(X0,X5)) ) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',subtract_distribution) ).
fof(f470,plain,
( ~ spl9_18
| spl9_28
| spl9_1
| ~ spl9_24 ),
inference(avatar_split_clause,[],[f452,f409,f119,f467,f368]) ).
fof(f452,plain,
( apply(x,subtract(any1,sK1(x,any1),sK0(x,any1))) = subtract(any2,apply(x,sK0(x,any1)),apply(x,sK0(x,any1)))
| ~ element(sK1(x,any1),any1)
| spl9_1
| ~ spl9_24 ),
inference(superposition,[],[f428,f358]) ).
fof(f428,plain,
( ! [X0] :
( apply(x,subtract(any1,X0,sK0(x,any1))) = subtract(any2,apply(x,X0),apply(x,sK0(x,any1)))
| ~ element(X0,any1) )
| ~ spl9_24 ),
inference(resolution,[],[f425,f410]) ).
fof(f410,plain,
( element(sK0(x,any1),any1)
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f422,plain,
( spl9_21
| spl9_1
| spl9_24 ),
inference(avatar_split_clause,[],[f421,f409,f119,f383]) ).
fof(f383,plain,
( spl9_21
<=> ! [X0] : ~ morphism(x,any1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).
fof(f421,plain,
( ! [X0] :
( injection(x)
| ~ morphism(x,any1,X0) )
| spl9_24 ),
inference(resolution,[],[f411,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( element(sK0(X0,X1),X1)
| injection(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f411,plain,
( ~ element(sK0(x,any1),any1)
| spl9_24 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f420,plain,
( spl9_21
| spl9_1
| ~ spl9_23 ),
inference(avatar_split_clause,[],[f417,f405,f119,f383]) ).
fof(f417,plain,
( ! [X0] :
( injection(x)
| ~ morphism(x,any1,X0) )
| ~ spl9_23 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f415,plain,
( ! [X0] :
( sK0(x,any1) != sK0(x,any1)
| injection(x)
| ~ morphism(x,any1,X0) )
| ~ spl9_23 ),
inference(superposition,[],[f88,f407]) ).
fof(f407,plain,
( sK0(x,any1) = sK1(x,any1)
| ~ spl9_23 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f88,plain,
! [X2,X0,X1] :
( sK0(X0,X1) != sK1(X0,X1)
| injection(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f387,plain,
~ spl9_21,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl9_21 ),
inference(resolution,[],[f384,f113]) ).
fof(f384,plain,
( ! [X0] : ~ morphism(x,any1,X0)
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( spl9_21
| spl9_1
| spl9_18 ),
inference(avatar_split_clause,[],[f381,f368,f119,f383]) ).
fof(f381,plain,
( ! [X0] :
( injection(x)
| ~ morphism(x,any1,X0) )
| spl9_18 ),
inference(resolution,[],[f370,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1),X1)
| injection(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f370,plain,
( ~ element(sK1(x,any1),any1)
| spl9_18 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f355,plain,
( ~ spl9_8
| spl9_2
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f354,f344,f123,f230]) ).
fof(f230,plain,
( spl9_8
<=> morphism(x,any1,any2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f344,plain,
( spl9_16
<=> ! [X0] :
( ~ morphism(x,any1,X0)
| zero(X0) != zero(any2)
| zero(any1) = sK8(x,any1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f354,plain,
( injection_2(x)
| ~ morphism(x,any1,any2)
| ~ spl9_16 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( zero(any1) != zero(any1)
| injection_2(x)
| ~ morphism(x,any1,any2)
| ~ spl9_16 ),
inference(superposition,[],[f112,f348]) ).
fof(f348,plain,
( zero(any1) = sK8(x,any1,any2)
| ~ spl9_16 ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f347,plain,
( zero(any2) != zero(any2)
| zero(any1) = sK8(x,any1,any2)
| ~ spl9_16 ),
inference(resolution,[],[f345,f113]) ).
fof(f345,plain,
( ! [X0] :
( ~ morphism(x,any1,X0)
| zero(X0) != zero(any2)
| zero(any1) = sK8(x,any1,X0) )
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f112,plain,
! [X2,X0,X1] :
( zero(X1) != sK8(X0,X1,X2)
| injection_2(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( injection_2(X0)
| ( zero(X1) != sK8(X0,X1,X2)
& zero(X2) = apply(X0,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),X1) )
| ~ morphism(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f58,f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ? [X3] :
( zero(X1) != X3
& apply(X0,X3) = zero(X2)
& element(X3,X1) )
=> ( zero(X1) != sK8(X0,X1,X2)
& zero(X2) = apply(X0,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1,X2] :
( injection_2(X0)
| ? [X3] :
( zero(X1) != X3
& apply(X0,X3) = zero(X2)
& element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( injection_2(X0)
| ? [X3] :
( zero(X1) != X3
& apply(X0,X3) = zero(X2)
& element(X3,X1) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( ! [X3] :
( ( apply(X0,X3) = zero(X2)
& element(X3,X1) )
=> zero(X1) = X3 )
& morphism(X0,X1,X2) )
=> injection_2(X0) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',properties_for_injection_2) ).
fof(f346,plain,
( spl9_2
| spl9_16
| ~ spl9_15 ),
inference(avatar_split_clause,[],[f342,f334,f344,f123]) ).
fof(f334,plain,
( spl9_15
<=> ! [X0,X1] :
( zero(X1) != zero(any2)
| ~ morphism(x,X0,X1)
| zero(any1) = sK8(x,X0,X1)
| ~ element(sK8(x,X0,X1),any1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f342,plain,
( ! [X0] :
( ~ morphism(x,any1,X0)
| zero(any1) = sK8(x,any1,X0)
| zero(X0) != zero(any2)
| injection_2(x) )
| ~ spl9_15 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f341,plain,
( ! [X0] :
( ~ morphism(x,any1,X0)
| zero(any1) = sK8(x,any1,X0)
| zero(X0) != zero(any2)
| injection_2(x)
| ~ morphism(x,any1,X0) )
| ~ spl9_15 ),
inference(resolution,[],[f335,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),X1)
| injection_2(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f335,plain,
( ! [X0,X1] :
( ~ element(sK8(x,X0,X1),any1)
| ~ morphism(x,X0,X1)
| zero(any1) = sK8(x,X0,X1)
| zero(X1) != zero(any2) )
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl9_2
| spl9_15
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f332,f313,f334,f123]) ).
fof(f332,plain,
( ! [X0,X1] :
( zero(X1) != zero(any2)
| ~ element(sK8(x,X0,X1),any1)
| zero(any1) = sK8(x,X0,X1)
| injection_2(x)
| ~ morphism(x,X0,X1) )
| ~ spl9_13 ),
inference(superposition,[],[f314,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( zero(X2) = apply(X0,sK8(X0,X1,X2))
| injection_2(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f325,plain,
( spl9_3
| spl9_12 ),
inference(avatar_split_clause,[],[f322,f309,f171]) ).
fof(f171,plain,
( spl9_3
<=> ! [X1] : ~ element(X1,any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f309,plain,
( spl9_12
<=> element(zero(any1),any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f322,plain,
( ! [X0] : ~ element(X0,any1)
| spl9_12 ),
inference(resolution,[],[f311,f133]) ).
fof(f133,plain,
! [X0,X1] :
( element(zero(X0),X0)
| ~ element(X1,X0) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( element(zero(X0),X0)
| ~ element(X1,X0)
| ~ element(X1,X0)
| ~ element(X1,X0) ),
inference(superposition,[],[f105,f106]) ).
fof(f311,plain,
( ~ element(zero(any1),any1)
| spl9_12 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f320,plain,
( ~ spl9_12
| spl9_13
| ~ spl9_6
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f303,f297,f215,f313,f309]) ).
fof(f297,plain,
( spl9_11
<=> ! [X0,X1] :
( apply(x,X0) != apply(x,X1)
| X0 = X1
| ~ element(X0,any1)
| ~ element(X1,any1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f303,plain,
( ! [X0] :
( zero(any2) != apply(x,X0)
| zero(any1) = X0
| ~ element(X0,any1)
| ~ element(zero(any1),any1) )
| ~ spl9_6
| ~ spl9_11 ),
inference(superposition,[],[f298,f217]) ).
fof(f298,plain,
( ! [X0,X1] :
( apply(x,X0) != apply(x,X1)
| X0 = X1
| ~ element(X0,any1)
| ~ element(X1,any1) )
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( ~ spl9_1
| spl9_11 ),
inference(avatar_split_clause,[],[f295,f297,f119]) ).
fof(f295,plain,
! [X0,X1] :
( apply(x,X0) != apply(x,X1)
| ~ element(X1,any1)
| ~ element(X0,any1)
| X0 = X1
| ~ injection(x) ),
inference(resolution,[],[f84,f113]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X0,X1,X2)
| apply(X0,X3) != apply(X0,X4)
| ~ element(X4,X1)
| ~ element(X3,X1)
| X3 = X4
| ~ injection(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2)
| ~ injection(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2)
| ~ injection(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( morphism(X0,X1,X2)
& injection(X0) )
=> ! [X3,X4] :
( ( apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
=> X3 = X4 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( morphism(X0,X1,X2)
& injection(X0) )
=> ! [X4,X5] :
( ( apply(X0,X4) = apply(X0,X5)
& element(X5,X1)
& element(X4,X1) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',injection_properties) ).
fof(f250,plain,
spl9_8,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| spl9_8 ),
inference(resolution,[],[f232,f113]) ).
fof(f232,plain,
( ~ morphism(x,any1,any2)
| spl9_8 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f248,plain,
( ~ spl9_4
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl9_4
| ~ spl9_9 ),
inference(resolution,[],[f235,f193]) ).
fof(f193,plain,
( element(zero(any2),any2)
| ~ spl9_4 ),
inference(resolution,[],[f175,f113]) ).
fof(f175,plain,
( ! [X0] :
( ~ morphism(x,any1,X0)
| element(zero(X0),any2) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl9_4
<=> ! [X0] :
( element(zero(X0),any2)
| ~ morphism(x,any1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f235,plain,
( ! [X0] : ~ element(X0,any2)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl9_9
<=> ! [X0] : ~ element(X0,any2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f236,plain,
( ~ spl9_8
| spl9_9
| spl9_5 ),
inference(avatar_split_clause,[],[f224,f211,f234,f230]) ).
fof(f211,plain,
( spl9_5
<=> element(apply(x,zero(any1)),any2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f224,plain,
( ! [X0] :
( ~ element(X0,any2)
| ~ morphism(x,any1,any2) )
| spl9_5 ),
inference(resolution,[],[f213,f134]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( element(apply(X1,zero(X2)),X0)
| ~ element(X3,X0)
| ~ morphism(X1,X2,X0) ),
inference(superposition,[],[f133,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( apply(X0,zero(X1)) = zero(X2)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( apply(X0,zero(X1)) = zero(X2)
& ! [X3] :
( element(apply(X0,X3),X2)
| ~ element(X3,X1) ) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ( apply(X0,zero(X1)) = zero(X2)
& ! [X3] :
( element(X3,X1)
=> element(apply(X0,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',morphism) ).
fof(f213,plain,
( ~ element(apply(x,zero(any1)),any2)
| spl9_5 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f219,plain,
( ~ spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f208,f215,f211]) ).
fof(f208,plain,
( zero(any2) = apply(x,zero(any1))
| ~ element(apply(x,zero(any1)),any2) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
( zero(any2) = apply(x,zero(any1))
| ~ element(apply(x,zero(any1)),any2)
| ~ element(apply(x,zero(any1)),any2) ),
inference(superposition,[],[f106,f198]) ).
fof(f198,plain,
! [X0] :
( subtract(any2,X0,apply(x,zero(any1))) = X0
| ~ element(X0,any2) ),
inference(resolution,[],[f158,f113]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X1,X2,X0)
| ~ element(X3,X0)
| subtract(X0,X3,apply(X1,zero(X2))) = X3 ),
inference(superposition,[],[f155,f83]) ).
fof(f192,plain,
( spl9_1
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl9_1
| ~ spl9_3 ),
inference(resolution,[],[f190,f113]) ).
fof(f190,plain,
( ! [X0] : ~ morphism(x,any1,X0)
| spl9_1
| ~ spl9_3 ),
inference(resolution,[],[f121,f177]) ).
fof(f177,plain,
( ! [X0,X1] :
( injection(X0)
| ~ morphism(X0,any1,X1) )
| ~ spl9_3 ),
inference(resolution,[],[f172,f85]) ).
fof(f172,plain,
( ! [X1] : ~ element(X1,any1)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f189,plain,
( spl9_2
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| spl9_2
| ~ spl9_3 ),
inference(resolution,[],[f187,f113]) ).
fof(f187,plain,
( ! [X0] : ~ morphism(x,any1,X0)
| spl9_2
| ~ spl9_3 ),
inference(resolution,[],[f180,f125]) ).
fof(f125,plain,
( ~ injection_2(x)
| spl9_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f180,plain,
( ! [X0,X1] :
( injection_2(X0)
| ~ morphism(X0,any1,X1) )
| ~ spl9_3 ),
inference(resolution,[],[f172,f110]) ).
fof(f176,plain,
( spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f169,f174,f171]) ).
fof(f169,plain,
! [X0,X1] :
( element(zero(X0),any2)
| ~ morphism(x,any1,X0)
| ~ element(X1,any1) ),
inference(resolution,[],[f165,f113]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X2,X3,X1)
| element(zero(X0),X1)
| ~ morphism(X2,X3,X0)
| ~ element(X4,X3) ),
inference(resolution,[],[f131,f133]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( ~ element(zero(X1),X4)
| element(zero(X2),X3)
| ~ morphism(X0,X4,X3)
| ~ morphism(X0,X1,X2) ),
inference(superposition,[],[f82,f83]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( element(apply(X0,X3),X2)
| ~ element(X3,X1)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f127,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f114,f123,f119]) ).
fof(f114,plain,
( injection_2(x)
| injection(x) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ~ injection_2(x)
| ~ injection(x) )
& ( injection_2(x)
| injection(x) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( injection(x)
<~> injection_2(x) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ( injection(x)
<=> injection_2(x) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
( injection(x)
<=> injection_2(x) ),
file('/export/starexec/sandbox/tmp/tmp.AHKjvJQVaE/Vampire---4.8_19015',my) ).
fof(f126,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f115,f123,f119]) ).
fof(f115,plain,
( ~ injection_2(x)
| ~ injection(x) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HAL002+1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 19:54:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.AHKjvJQVaE/Vampire---4.8_19015
% 0.60/0.80 % (19132)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (19130)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (19131)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (19129)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (19127)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (19128)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80 % (19133)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80 % (19134)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81 % (19134)Refutation not found, incomplete strategy% (19134)------------------------------
% 0.60/0.81 % (19134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19132)Refutation not found, incomplete strategy% (19132)------------------------------
% 0.60/0.81 % (19132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19132)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19132)Memory used [KB]: 1032
% 0.60/0.81 % (19132)Time elapsed: 0.003 s
% 0.60/0.81 % (19132)Instructions burned: 2 (million)
% 0.60/0.81 % (19134)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19134)Memory used [KB]: 1034
% 0.60/0.81 % (19134)Time elapsed: 0.003 s
% 0.60/0.81 % (19134)Instructions burned: 2 (million)
% 0.60/0.81 % (19132)------------------------------
% 0.60/0.81 % (19132)------------------------------
% 0.60/0.81 % (19134)------------------------------
% 0.60/0.81 % (19134)------------------------------
% 0.60/0.81 % (19130)Refutation not found, incomplete strategy% (19130)------------------------------
% 0.60/0.81 % (19130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19130)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19130)Memory used [KB]: 1036
% 0.60/0.81 % (19130)Time elapsed: 0.004 s
% 0.60/0.81 % (19130)Instructions burned: 3 (million)
% 0.60/0.81 % (19127)Refutation not found, incomplete strategy% (19127)------------------------------
% 0.60/0.81 % (19127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19127)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19127)Memory used [KB]: 1052
% 0.60/0.81 % (19127)Time elapsed: 0.004 s
% 0.60/0.81 % (19127)Instructions burned: 4 (million)
% 0.60/0.81 % (19131)Refutation not found, incomplete strategy% (19131)------------------------------
% 0.60/0.81 % (19131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19127)------------------------------
% 0.60/0.81 % (19127)------------------------------
% 0.60/0.81 % (19130)------------------------------
% 0.60/0.81 % (19130)------------------------------
% 0.60/0.81 % (19131)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19131)Memory used [KB]: 1066
% 0.60/0.81 % (19131)Time elapsed: 0.004 s
% 0.60/0.81 % (19131)Instructions burned: 5 (million)
% 0.60/0.81 % (19131)------------------------------
% 0.60/0.81 % (19131)------------------------------
% 0.60/0.81 % (19135)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81 % (19136)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81 % (19137)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)
% 0.60/0.81 % (19138)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)
% 0.60/0.81 % (19139)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.81 % (19135)Refutation not found, incomplete strategy% (19135)------------------------------
% 0.60/0.81 % (19135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19135)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19135)Memory used [KB]: 1061
% 0.60/0.81 % (19135)Time elapsed: 0.004 s
% 0.60/0.81 % (19135)Instructions burned: 4 (million)
% 0.60/0.81 % (19135)------------------------------
% 0.60/0.81 % (19135)------------------------------
% 0.60/0.81 % (19139)Refutation not found, incomplete strategy% (19139)------------------------------
% 0.60/0.81 % (19139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (19139)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19139)Memory used [KB]: 1073
% 0.60/0.81 % (19139)Time elapsed: 0.004 s
% 0.60/0.81 % (19139)Instructions burned: 6 (million)
% 0.60/0.81 % (19139)------------------------------
% 0.60/0.81 % (19139)------------------------------
% 0.60/0.82 % (19140)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 (2995ds/42Mi)
% 0.60/0.82 % (19141)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 (2995ds/243Mi)
% 0.60/0.82 % (19140)Refutation not found, incomplete strategy% (19140)------------------------------
% 0.60/0.82 % (19140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (19140)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (19140)Memory used [KB]: 1090
% 0.60/0.82 % (19140)Time elapsed: 0.004 s
% 0.60/0.82 % (19140)Instructions burned: 5 (million)
% 0.60/0.82 % (19140)------------------------------
% 0.60/0.82 % (19140)------------------------------
% 0.60/0.82 % (19142)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 (2995ds/117Mi)
% 0.60/0.82 % (19128)First to succeed.
% 0.60/0.82 % (19142)Refutation not found, incomplete strategy% (19142)------------------------------
% 0.60/0.82 % (19142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (19142)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (19142)Memory used [KB]: 1035
% 0.60/0.82 % (19142)Time elapsed: 0.003 s
% 0.60/0.82 % (19142)Instructions burned: 3 (million)
% 0.60/0.82 % (19129)Also succeeded, but the first one will report.
% 0.60/0.82 % (19142)------------------------------
% 0.60/0.82 % (19142)------------------------------
% 0.60/0.82 % (19128)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19123"
% 0.60/0.83 % (19128)Refutation found. Thanks to Tanya!
% 0.60/0.83 % SZS status Theorem for Vampire---4
% 0.60/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (19128)------------------------------
% 0.60/0.83 % (19128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (19128)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (19128)Memory used [KB]: 1364
% 0.60/0.83 % (19128)Time elapsed: 0.022 s
% 0.60/0.83 % (19128)Instructions burned: 34 (million)
% 0.60/0.83 % (19123)Success in time 0.495 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------