TSTP Solution File: SYN067+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n012.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 04:33:09 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 37
% Syntax : Number of formulae : 159 ( 1 unt; 0 def)
% Number of atoms : 777 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1022 ( 404 ~; 427 |; 143 &)
% ( 32 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 29 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 244 ( 167 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f66,f71,f76,f80,f84,f88,f92,f96,f100,f104,f108,f112,f116,f121,f130,f131,f132,f136,f140,f144,f146,f157,f167,f184,f205,f210,f215,f221,f252,f261,f263]) ).
fof(f263,plain,
( spl12_24
| ~ spl12_7
| ~ spl12_11
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f262,f152,f94,f78,f155]) ).
fof(f155,plain,
( spl12_24
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK9,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f78,plain,
( spl12_7
<=> ! [X4,X7] :
( big_r(sK5(X4),sK4(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f94,plain,
( spl12_11
<=> ! [X4,X7] :
( big_p(sK4(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f152,plain,
( spl12_23
<=> ! [X1] :
( ~ big_p(X1)
| ~ big_r(sK5(sK9),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f262,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK9,X0) )
| ~ spl12_7
| ~ spl12_11
| ~ spl12_23 ),
inference(subsumption_resolution,[],[f240,f95]) ).
fof(f95,plain,
( ! [X7,X4] :
( big_p(sK4(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f240,plain,
( ! [X0] :
( ~ big_p(sK4(sK9))
| ~ big_p(X0)
| ~ big_r(sK9,X0) )
| ~ spl12_7
| ~ spl12_23 ),
inference(resolution,[],[f153,f79]) ).
fof(f79,plain,
( ! [X7,X4] :
( big_r(sK5(X4),sK4(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f153,plain,
( ! [X1] :
( ~ big_r(sK5(sK9),X1)
| ~ big_p(X1) )
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f261,plain,
( spl12_19
| ~ spl12_24 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| spl12_19
| ~ spl12_24 ),
inference(subsumption_resolution,[],[f257,f129]) ).
fof(f129,plain,
( ~ sP0(sK9)
| spl12_19 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl12_19
<=> sP0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f257,plain,
( sP0(sK9)
| spl12_19
| ~ spl12_24 ),
inference(resolution,[],[f255,f40]) ).
fof(f40,plain,
! [X0] :
( big_p(sK6(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& big_r(X0,sK6(X0))
& big_p(sK6(X0))
& big_p(a) ) )
& ( ( big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0))
& big_p(sK7(X0)) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
=> ( big_r(X0,sK6(X0))
& big_p(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X0,X5)
& big_p(X4) )
=> ( big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0))
& big_p(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
& big_p(a) ) )
& ( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X0,X5)
& big_p(X4) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X4] :
( ( sP0(X4)
| ( ! [X5,X6] :
( ~ big_r(X6,X5)
| ~ big_r(X4,X6)
| ~ big_p(X5) )
& ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
& big_p(a) ) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a)
| ~ sP0(X4) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X4] :
( ( sP0(X4)
| ( ! [X5,X6] :
( ~ big_r(X6,X5)
| ~ big_r(X4,X6)
| ~ big_p(X5) )
& ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
& big_p(a) ) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a)
| ~ sP0(X4) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X4] :
( sP0(X4)
<=> ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f255,plain,
( ~ big_p(sK6(sK9))
| spl12_19
| ~ spl12_24 ),
inference(resolution,[],[f254,f156]) ).
fof(f156,plain,
( ! [X0] :
( ~ big_r(sK9,X0)
| ~ big_p(X0) )
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f254,plain,
( big_r(sK9,sK6(sK9))
| spl12_19 ),
inference(resolution,[],[f129,f41]) ).
fof(f41,plain,
! [X0] :
( sP0(X0)
| big_r(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f252,plain,
( spl12_18
| ~ spl12_8
| ~ spl12_12
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f251,f152,f98,f82,f123]) ).
fof(f123,plain,
( spl12_18
<=> big_p(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f82,plain,
( spl12_8
<=> ! [X4] :
( big_r(sK5(X4),sK4(X4))
| big_p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f98,plain,
( spl12_12
<=> ! [X4] :
( big_p(sK4(X4))
| big_p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f251,plain,
( big_p(sK9)
| ~ spl12_8
| ~ spl12_12
| ~ spl12_23 ),
inference(subsumption_resolution,[],[f241,f99]) ).
fof(f99,plain,
( ! [X4] :
( big_p(sK4(X4))
| big_p(X4) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f241,plain,
( ~ big_p(sK4(sK9))
| big_p(sK9)
| ~ spl12_8
| ~ spl12_23 ),
inference(resolution,[],[f153,f83]) ).
fof(f83,plain,
( ! [X4] :
( big_r(sK5(X4),sK4(X4))
| big_p(X4) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f221,plain,
( spl12_23
| ~ spl12_10
| ~ spl12_17
| spl12_18 ),
inference(avatar_split_clause,[],[f220,f123,f119,f90,f152]) ).
fof(f90,plain,
( spl12_10
<=> ! [X4] :
( big_r(X4,sK5(X4))
| big_p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f119,plain,
( spl12_17
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_r(sK9,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f220,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK5(sK9),X0) )
| ~ spl12_10
| ~ spl12_17
| spl12_18 ),
inference(resolution,[],[f217,f120]) ).
fof(f120,plain,
( ! [X2,X1] :
( ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f217,plain,
( big_r(sK9,sK5(sK9))
| ~ spl12_10
| spl12_18 ),
inference(resolution,[],[f125,f91]) ).
fof(f91,plain,
( ! [X4] :
( big_p(X4)
| big_r(X4,sK5(X4)) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f125,plain,
( ~ big_p(sK9)
| spl12_18 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f215,plain,
( ~ spl12_5
| ~ spl12_4
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f211,f182,f63,f68]) ).
fof(f68,plain,
( spl12_5
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f63,plain,
( spl12_4
<=> big_r(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f182,plain,
( spl12_27
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f211,plain,
( ~ big_p(sK3)
| ~ spl12_4
| ~ spl12_27 ),
inference(resolution,[],[f183,f65]) ).
fof(f65,plain,
( big_r(sK2,sK3)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f183,plain,
( ! [X0] :
( ~ big_r(sK2,X0)
| ~ big_p(X0) )
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f210,plain,
( spl12_27
| ~ spl12_13
| ~ spl12_16
| spl12_29 ),
inference(avatar_split_clause,[],[f209,f202,f114,f102,f182]) ).
fof(f102,plain,
( spl12_13
<=> ! [X0] : sP0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f114,plain,
( spl12_16
<=> ! [X6,X0] :
( big_p(sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f202,plain,
( spl12_29
<=> big_p(sK7(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f209,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0) )
| ~ spl12_13
| ~ spl12_16
| spl12_29 ),
inference(subsumption_resolution,[],[f206,f103]) ).
fof(f103,plain,
( ! [X0] : sP0(X0)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f206,plain,
( ! [X0] :
( ~ sP0(sK2)
| ~ big_p(X0)
| ~ big_r(sK2,X0) )
| ~ spl12_16
| spl12_29 ),
inference(resolution,[],[f204,f115]) ).
fof(f115,plain,
( ! [X0,X6] :
( big_p(sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f204,plain,
( ~ big_p(sK7(sK2))
| spl12_29 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl12_27
| ~ spl12_29
| ~ spl12_13
| ~ spl12_14
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f200,f179,f106,f102,f202,f182]) ).
fof(f106,plain,
( spl12_14
<=> ! [X6,X0] :
( big_r(sK8(X0),sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f179,plain,
( spl12_26
<=> ! [X1] :
( ~ big_p(X1)
| ~ big_r(sK8(sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f200,plain,
( ! [X0] :
( ~ big_p(sK7(sK2))
| ~ big_p(X0)
| ~ big_r(sK2,X0) )
| ~ spl12_13
| ~ spl12_14
| ~ spl12_26 ),
inference(subsumption_resolution,[],[f198,f103]) ).
fof(f198,plain,
( ! [X0] :
( ~ big_p(sK7(sK2))
| ~ sP0(sK2)
| ~ big_p(X0)
| ~ big_r(sK2,X0) )
| ~ spl12_14
| ~ spl12_26 ),
inference(resolution,[],[f180,f107]) ).
fof(f107,plain,
( ! [X0,X6] :
( big_r(sK8(X0),sK7(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f180,plain,
( ! [X1] :
( ~ big_r(sK8(sK2),X1)
| ~ big_p(X1) )
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f184,plain,
( spl12_26
| spl12_27
| ~ spl12_1
| ~ spl12_13
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f177,f110,f102,f51,f182,f179]) ).
fof(f51,plain,
( spl12_1
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_r(sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f110,plain,
( spl12_15
<=> ! [X6,X0] :
( big_r(X0,sK8(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f177,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(sK2,X0)
| ~ big_p(X1)
| ~ big_r(sK8(sK2),X1) )
| ~ spl12_1
| ~ spl12_13
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f170,f103]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ sP0(sK2)
| ~ big_p(X0)
| ~ big_r(sK2,X0)
| ~ big_p(X1)
| ~ big_r(sK8(sK2),X1) )
| ~ spl12_1
| ~ spl12_15 ),
inference(resolution,[],[f111,f52]) ).
fof(f52,plain,
( ! [X2,X1] :
( ~ big_r(sK2,X2)
| ~ big_p(X1)
| ~ big_r(X2,X1) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f111,plain,
( ! [X0,X6] :
( big_r(X0,sK8(X0))
| ~ sP0(X0)
| ~ big_p(X6)
| ~ big_r(X0,X6) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f167,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| ~ spl12_1
| spl12_3
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f163,f61]) ).
fof(f61,plain,
( ~ big_p(sK2)
| spl12_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl12_3
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f163,plain,
( big_p(sK2)
| ~ spl12_1
| spl12_3
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22 ),
inference(resolution,[],[f162,f143]) ).
fof(f143,plain,
( ! [X3] :
( big_p(sK10(X3))
| big_p(X3) )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl12_22
<=> ! [X3] :
( big_p(sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f162,plain,
( ~ big_p(sK10(sK2))
| ~ spl12_1
| spl12_3
| ~ spl12_20
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f161,f61]) ).
fof(f161,plain,
( ~ big_p(sK10(sK2))
| big_p(sK2)
| ~ spl12_1
| spl12_3
| ~ spl12_20
| ~ spl12_21 ),
inference(resolution,[],[f160,f135]) ).
fof(f135,plain,
( ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) )
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl12_20
<=> ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f160,plain,
( ! [X0] :
( ~ big_r(sK11(sK2),X0)
| ~ big_p(X0) )
| ~ spl12_1
| spl12_3
| ~ spl12_21 ),
inference(resolution,[],[f52,f158]) ).
fof(f158,plain,
( big_r(sK2,sK11(sK2))
| spl12_3
| ~ spl12_21 ),
inference(resolution,[],[f61,f139]) ).
fof(f139,plain,
( ! [X3] :
( big_p(X3)
| big_r(X3,sK11(X3)) )
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl12_21
<=> ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f157,plain,
( spl12_23
| spl12_24
| ~ spl12_9
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f149,f119,f86,f155,f152]) ).
fof(f86,plain,
( spl12_9
<=> ! [X4,X7] :
( big_r(X4,sK5(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(sK9,X0)
| ~ big_p(X1)
| ~ big_r(sK5(sK9),X1) )
| ~ spl12_9
| ~ spl12_17 ),
inference(resolution,[],[f87,f120]) ).
fof(f87,plain,
( ! [X7,X4] :
( big_r(X4,sK5(X4))
| ~ big_p(X7)
| ~ big_r(X4,X7) )
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f146,plain,
( ~ spl12_13
| spl12_19 ),
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f145,plain,
( $false
| ~ spl12_13
| spl12_19 ),
inference(resolution,[],[f103,f129]) ).
fof(f144,plain,
( spl12_2
| ~ spl12_6
| spl12_22 ),
inference(avatar_split_clause,[],[f43,f142,f73,f54]) ).
fof(f54,plain,
( spl12_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f73,plain,
( spl12_6
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f43,plain,
! [X3] :
( big_p(sK10(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ sP0(sK9)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
& ~ big_p(sK9)
& big_p(a) )
| ~ sP1 )
& ( ! [X3] :
( sP0(X3)
& ( ( big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3))
& big_p(sK10(X3)) )
| big_p(X3)
| ~ big_p(a) ) )
| sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f22,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ~ sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ~ big_p(X0)
& big_p(a) ) )
=> ( ~ sP0(sK9)
| ( ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
& ~ big_p(sK9)
& big_p(a) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X3] :
( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X3,X5)
& big_p(X4) )
=> ( big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3))
& big_p(sK10(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ( ? [X0] :
( ~ sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ~ big_p(X0)
& big_p(a) ) )
| ~ sP1 )
& ( ! [X3] :
( sP0(X3)
& ( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X3,X5)
& big_p(X4) )
| big_p(X3)
| ~ big_p(a) ) )
| sP1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ( ? [X4] :
( ~ sP0(X4)
| ( ! [X8,X9] :
( ~ big_r(X9,X8)
| ~ big_r(X4,X9)
| ~ big_p(X8) )
& ~ big_p(X4)
& big_p(a) ) )
| ~ sP1 )
& ( ! [X4] :
( sP0(X4)
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) )
| sP1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( sP1
<~> ! [X4] :
( sP0(X4)
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f7,plain,
( sP1
<=> ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f5,plain,
( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
<~> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
<~> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| big_p(X4)
| ~ big_p(a) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.SMW17CY9rD/Vampire---4.8_8834',pel38) ).
fof(f140,plain,
( spl12_2
| ~ spl12_6
| spl12_21 ),
inference(avatar_split_clause,[],[f44,f138,f73,f54]) ).
fof(f44,plain,
! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f136,plain,
( spl12_2
| ~ spl12_6
| spl12_20 ),
inference(avatar_split_clause,[],[f45,f134,f73,f54]) ).
fof(f45,plain,
! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f132,plain,
( spl12_2
| spl12_13 ),
inference(avatar_split_clause,[],[f46,f102,f54]) ).
fof(f46,plain,
! [X3] :
( sP0(X3)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f131,plain,
( ~ spl12_2
| spl12_6
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f47,f127,f73,f54]) ).
fof(f47,plain,
( ~ sP0(sK9)
| big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f130,plain,
( ~ spl12_2
| ~ spl12_18
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f48,f127,f123,f54]) ).
fof(f48,plain,
( ~ sP0(sK9)
| ~ big_p(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f121,plain,
( ~ spl12_2
| spl12_17 ),
inference(avatar_split_clause,[],[f117,f119,f54]) ).
fof(f117,plain,
! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ sP1 ),
inference(subsumption_resolution,[],[f49,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( sP0(X0)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X2,X1] :
( ~ sP0(sK9)
| ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f116,plain,
( ~ spl12_6
| spl12_16 ),
inference(avatar_split_clause,[],[f36,f114,f73]) ).
fof(f36,plain,
! [X0,X6] :
( big_p(sK7(X0))
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f112,plain,
( ~ spl12_6
| spl12_15 ),
inference(avatar_split_clause,[],[f37,f110,f73]) ).
fof(f37,plain,
! [X0,X6] :
( big_r(X0,sK8(X0))
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f108,plain,
( ~ spl12_6
| spl12_14 ),
inference(avatar_split_clause,[],[f38,f106,f73]) ).
fof(f38,plain,
! [X0,X6] :
( big_r(sK8(X0),sK7(X0))
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f104,plain,
( spl12_6
| spl12_13 ),
inference(avatar_split_clause,[],[f39,f102,f73]) ).
fof(f39,plain,
! [X0] :
( sP0(X0)
| big_p(a) ),
inference(cnf_transformation,[],[f20]) ).
fof(f100,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f26,f98,f73,f54]) ).
fof(f26,plain,
! [X4] :
( big_p(sK4(X4))
| big_p(X4)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( sP1
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) )
& ( ( big_r(sK2,sK3)
& big_p(sK3) )
| ~ big_p(sK2) )
& big_p(a) ) )
& ( ! [X4] :
( ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) )
| ( ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f10,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
| ~ big_p(X0) )
& big_p(a) )
=> ( ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(sK2,X3)
& big_p(X3) )
| ~ big_p(sK2) )
& big_p(a) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X3] :
( big_r(sK2,X3)
& big_p(X3) )
=> ( big_r(sK2,sK3)
& big_p(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X4] :
( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
=> ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( sP1
| ? [X0] :
( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
| ~ big_p(X0) )
& big_p(a) ) )
& ( ! [X4] :
( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ( ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ? [X0] :
( ! [X2,X3] :
( ~ big_r(X3,X2)
| ~ big_r(X0,X3)
| ~ big_p(X2) )
& ( ? [X1] :
( big_r(X0,X1)
& big_p(X1) )
| ~ big_p(X0) )
& big_p(a) ) )
& ( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f96,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_11 ),
inference(avatar_split_clause,[],[f27,f94,f73,f54]) ).
fof(f27,plain,
! [X7,X4] :
( big_p(sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f92,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_10 ),
inference(avatar_split_clause,[],[f28,f90,f73,f54]) ).
fof(f28,plain,
! [X4] :
( big_r(X4,sK5(X4))
| big_p(X4)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f88,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_9 ),
inference(avatar_split_clause,[],[f29,f86,f73,f54]) ).
fof(f29,plain,
! [X7,X4] :
( big_r(X4,sK5(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f84,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_8 ),
inference(avatar_split_clause,[],[f30,f82,f73,f54]) ).
fof(f30,plain,
! [X4] :
( big_r(sK5(X4),sK4(X4))
| big_p(X4)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f80,plain,
( ~ spl12_2
| ~ spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f31,f78,f73,f54]) ).
fof(f31,plain,
! [X7,X4] :
( big_r(sK5(X4),sK4(X4))
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f76,plain,
( spl12_6
| spl12_2 ),
inference(avatar_split_clause,[],[f32,f54,f73]) ).
fof(f32,plain,
( sP1
| big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f71,plain,
( ~ spl12_3
| spl12_5
| spl12_2 ),
inference(avatar_split_clause,[],[f33,f54,f68,f59]) ).
fof(f33,plain,
( sP1
| big_p(sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f66,plain,
( ~ spl12_3
| spl12_4
| spl12_2 ),
inference(avatar_split_clause,[],[f34,f54,f63,f59]) ).
fof(f34,plain,
( sP1
| big_r(sK2,sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f57,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f35,f54,f51]) ).
fof(f35,plain,
! [X2,X1] :
( sP1
| ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.15 % 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
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:15:11 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 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.SMW17CY9rD/Vampire---4.8_8834
% 0.58/0.74 % (9095)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)
% 0.58/0.74 % (9089)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)
% 0.58/0.74 % (9091)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (9092)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)
% 0.58/0.74 % (9090)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)
% 0.58/0.74 % (9093)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)
% 0.58/0.74 % (9094)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)
% 0.58/0.74 % (9094)Refutation not found, incomplete strategy% (9094)------------------------------
% 0.58/0.74 % (9094)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (9094)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (9094)Memory used [KB]: 1046
% 0.58/0.74 % (9094)Time elapsed: 0.003 s
% 0.58/0.74 % (9094)Instructions burned: 3 (million)
% 0.58/0.74 % (9094)------------------------------
% 0.58/0.74 % (9094)------------------------------
% 0.58/0.75 % (9091)First to succeed.
% 0.58/0.75 % (9096)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)
% 0.58/0.75 % (9093)Also succeeded, but the first one will report.
% 0.58/0.75 % (9091)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (9091)------------------------------
% 0.58/0.75 % (9091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (9091)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (9091)Memory used [KB]: 1124
% 0.58/0.75 % (9091)Time elapsed: 0.008 s
% 0.58/0.75 % (9091)Instructions burned: 11 (million)
% 0.58/0.75 % (9091)------------------------------
% 0.58/0.75 % (9091)------------------------------
% 0.58/0.75 % (9085)Success in time 0.376 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------