TSTP Solution File: SWC228+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC228+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 04:00:44 EDT 2024
% Result : Theorem 0.63s 0.83s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 86 ( 10 unt; 0 def)
% Number of atoms : 700 ( 199 equ)
% Maximal formula atoms : 56 ( 8 avg)
% Number of connectives : 998 ( 384 ~; 349 |; 225 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 269 ( 192 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f864,plain,
$false,
inference(avatar_sat_refutation,[],[f597,f610,f626,f628,f676,f717,f721,f863]) ).
fof(f863,plain,
( ~ spl53_11
| spl53_2
| ~ spl53_22
| ~ spl53_23 ),
inference(avatar_split_clause,[],[f862,f719,f715,f593,f646]) ).
fof(f646,plain,
( spl53_11
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f593,plain,
( spl53_2
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f715,plain,
( spl53_22
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f719,plain,
( spl53_23
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f862,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl53_22
| ~ spl53_23 ),
inference(equality_resolution,[],[f843]) ).
fof(f843,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f842,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f841,f427]) ).
fof(f427,plain,
! [X0] :
( ssItem(sK44(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0))
& ssList(sK43(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f125,f307,f306]) ).
fof(f306,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
=> ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax20) ).
fof(f841,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f840]) ).
fof(f840,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f830,f426]) ).
fof(f426,plain,
! [X0] :
( ssList(sK43(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f830,plain,
( ! [X0] :
( ~ ssList(sK43(X0))
| ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(superposition,[],[f829,f428]) ).
fof(f428,plain,
! [X0] :
( cons(sK44(X0),sK43(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f829,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f826]) ).
fof(f826,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22
| ~ spl53_23 ),
inference(superposition,[],[f824,f510]) ).
fof(f510,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax81) ).
fof(f824,plain,
( ! [X0,X1] :
( app(cons(X1,nil),X0) != sK49
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f821]) ).
fof(f821,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssItem(X1)
| ~ ssList(X0)
| app(cons(X1,nil),X0) != sK49 )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f820,f720]) ).
fof(f720,plain,
( ! [X0,X1] :
( ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_23 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK49 )
| ~ spl53_22 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f802,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22 ),
inference(superposition,[],[f725,f510]) ).
fof(f725,plain,
( ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1)) )
| ~ spl53_22 ),
inference(resolution,[],[f716,f452]) ).
fof(f452,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax38) ).
fof(f716,plain,
( ! [X0,X1] :
( memberP(nil,sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_22 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f721,plain,
( ~ spl53_3
| spl53_23
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f697,f624,f719,f604]) ).
fof(f604,plain,
( spl53_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f624,plain,
( spl53_8
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(duplicate_literal_removal,[],[f696]) ).
fof(f696,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(resolution,[],[f421,f625]) ).
fof(f625,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f421,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax16) ).
fof(f717,plain,
( ~ spl53_3
| spl53_22
| ~ spl53_4 ),
inference(avatar_split_clause,[],[f698,f608,f715,f604]) ).
fof(f608,plain,
( spl53_4
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(resolution,[],[f421,f609]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f676,plain,
spl53_11,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| spl53_11 ),
inference(resolution,[],[f648,f531]) ).
fof(f531,plain,
ssList(sK49),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( ( nil != sK49
| nil = sK50 )
& ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != sK51
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK51)
& ssList(sK51)
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ~ leq(sK52(X9,X10,X11),X9)
& leq(X9,sK52(X9,X10,X11))
& memberP(X11,sK52(X9,X10,X11))
& memberP(X10,sK52(X9,X10,X11))
& ssItem(sK52(X9,X10,X11)) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52])],[f223,f337,f336,f335,f334,f333,f332]) ).
fof(f332,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK49
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ( nil != sK49
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( nil != sK49
| nil = sK50 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = sK50
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = sK50
& ssList(X4) )
=> ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != sK51
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK51)
& ssList(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X9,X10,X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
=> ( ~ leq(sK52(X9,X10,X11),X9)
& leq(X9,sK52(X9,X10,X11))
& memberP(X11,sK52(X9,X10,X11))
& memberP(X10,sK52(X9,X10,X11))
& ssItem(sK52(X9,X10,X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X2
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ leq(X12,X9)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) )
| ? [X9] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( ssItem(X12)
=> ( leq(X12,X9)
| ~ leq(X9,X12)
| ~ memberP(X11,X12)
| ~ memberP(X10,X12) ) )
& app(app(X10,cons(X9,nil)),X11) = X0
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X8] :
( ssList(X8)
=> ( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( lt(X11,X9)
& app(X12,cons(X11,nil)) = X2
& ssList(X12) )
& ssItem(X11) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) )
& ssItem(X9) )
| ~ strictorderedP(X2)
| app(X2,X8) != X3 ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X8] :
( ssList(X8)
=> ( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( lt(X11,X9)
& app(X12,cons(X11,nil)) = X2
& ssList(X12) )
& ssItem(X11) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) )
& ssItem(X9) )
| ~ strictorderedP(X2)
| app(X2,X8) != X3 ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',co1) ).
fof(f648,plain,
( ~ ssList(sK49)
| spl53_11 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f628,plain,
spl53_3,
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl53_3 ),
inference(resolution,[],[f606,f422]) ).
fof(f422,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax17) ).
fof(f606,plain,
( ~ ssList(nil)
| spl53_3 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f626,plain,
( ~ spl53_3
| spl53_8 ),
inference(avatar_split_clause,[],[f602,f624,f604]) ).
fof(f602,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f550,f436]) ).
fof(f436,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790',ax28) ).
fof(f550,plain,
! [X10,X11,X9] :
( app(app(X10,cons(X9,nil)),X11) != sK49
| ssItem(sK52(X9,X10,X11))
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(definition_unfolding,[],[f536,f534]) ).
fof(f534,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f338]) ).
fof(f536,plain,
! [X10,X11,X9] :
( ssItem(sK52(X9,X10,X11))
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f338]) ).
fof(f610,plain,
( ~ spl53_3
| spl53_4 ),
inference(avatar_split_clause,[],[f598,f608,f604]) ).
fof(f598,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f549,f436]) ).
fof(f549,plain,
! [X10,X11,X9] :
( app(app(X10,cons(X9,nil)),X11) != sK49
| memberP(X10,sK52(X9,X10,X11))
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(definition_unfolding,[],[f537,f534]) ).
fof(f537,plain,
! [X10,X11,X9] :
( memberP(X10,sK52(X9,X10,X11))
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f338]) ).
fof(f597,plain,
~ spl53_2,
inference(avatar_split_clause,[],[f551,f593]) ).
fof(f551,plain,
nil != sK49,
inference(definition_unfolding,[],[f535,f534]) ).
fof(f535,plain,
nil != sK47,
inference(cnf_transformation,[],[f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC228+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:09:03 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.mb4CRtamsr/Vampire---4.8_22790
% 0.60/0.80 % (23008)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 % (23010)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)
% 0.60/0.80 % (23003)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 % (23005)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 % (23004)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 % (23006)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 % (23007)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 % (23009)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)
% 0.63/0.82 % (23008)Instruction limit reached!
% 0.63/0.82 % (23008)------------------------------
% 0.63/0.82 % (23008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (23008)Termination reason: Unknown
% 0.63/0.82 % (23008)Termination phase: Saturation
% 0.63/0.82
% 0.63/0.82 % (23008)Memory used [KB]: 1531
% 0.63/0.82 % (23008)Time elapsed: 0.026 s
% 0.63/0.82 % (23008)Instructions burned: 45 (million)
% 0.63/0.82 % (23008)------------------------------
% 0.63/0.82 % (23008)------------------------------
% 0.63/0.82 % (23012)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)
% 0.63/0.83 % (23004)First to succeed.
% 0.63/0.83 % (23006)Instruction limit reached!
% 0.63/0.83 % (23006)------------------------------
% 0.63/0.83 % (23006)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (23006)Termination reason: Unknown
% 0.63/0.83 % (23007)Instruction limit reached!
% 0.63/0.83 % (23007)------------------------------
% 0.63/0.83 % (23007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (23007)Termination reason: Unknown
% 0.63/0.83 % (23007)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (23007)Memory used [KB]: 1922
% 0.63/0.83 % (23007)Time elapsed: 0.033 s
% 0.63/0.83 % (23007)Instructions burned: 35 (million)
% 0.63/0.83 % (23007)------------------------------
% 0.63/0.83 % (23007)------------------------------
% 0.63/0.83 % (23006)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (23006)Memory used [KB]: 1736
% 0.63/0.83 % (23006)Time elapsed: 0.033 s
% 0.63/0.83 % (23006)Instructions burned: 33 (million)
% 0.63/0.83 % (23006)------------------------------
% 0.63/0.83 % (23006)------------------------------
% 0.63/0.83 % (23010)Instruction limit reached!
% 0.63/0.83 % (23010)------------------------------
% 0.63/0.83 % (23010)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (23010)Termination reason: Unknown
% 0.63/0.83 % (23010)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (23010)Memory used [KB]: 1663
% 0.63/0.83 % (23010)Time elapsed: 0.033 s
% 0.63/0.83 % (23010)Instructions burned: 57 (million)
% 0.63/0.83 % (23010)------------------------------
% 0.63/0.83 % (23010)------------------------------
% 0.63/0.83 % (23003)Instruction limit reached!
% 0.63/0.83 % (23003)------------------------------
% 0.63/0.83 % (23003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (23003)Termination reason: Unknown
% 0.63/0.83 % (23003)Termination phase: Saturation
% 0.63/0.83
% 0.63/0.83 % (23003)Memory used [KB]: 1542
% 0.63/0.83 % (23003)Time elapsed: 0.034 s
% 0.63/0.83 % (23003)Instructions burned: 35 (million)
% 0.63/0.83 % (23003)------------------------------
% 0.63/0.83 % (23003)------------------------------
% 0.63/0.83 % (23004)Refutation found. Thanks to Tanya!
% 0.63/0.83 % SZS status Theorem for Vampire---4
% 0.63/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83 % (23004)------------------------------
% 0.63/0.83 % (23004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (23004)Termination reason: Refutation
% 0.63/0.83
% 0.63/0.83 % (23004)Memory used [KB]: 1559
% 0.63/0.83 % (23004)Time elapsed: 0.033 s
% 0.63/0.83 % (23004)Instructions burned: 33 (million)
% 0.63/0.83 % (23004)------------------------------
% 0.63/0.83 % (23004)------------------------------
% 0.63/0.83 % (22980)Success in time 0.468 s
% 0.63/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------