TSTP Solution File: SWC316+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC316+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 : n013.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 04:01:21 EDT 2024
% Result : Theorem 0.68s 0.84s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of formulae : 124 ( 13 unt; 0 def)
% Number of atoms : 705 ( 207 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 947 ( 366 ~; 354 |; 167 &)
% ( 20 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 182 ( 122 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f921,plain,
$false,
inference(avatar_sat_refutation,[],[f635,f640,f645,f650,f655,f662,f664,f674,f676,f682,f684,f773,f778,f814,f861,f872,f877,f913,f915]) ).
fof(f915,plain,
( ~ spl53_11
| ~ spl53_12
| ~ spl53_14
| ~ spl53_23 ),
inference(avatar_split_clause,[],[f865,f857,f671,f652,f647]) ).
fof(f647,plain,
( spl53_11
<=> ssList(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f652,plain,
( spl53_12
<=> ssItem(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f671,plain,
( spl53_14
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f857,plain,
( spl53_23
<=> sK49 = cons(sK51,sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f865,plain,
( nil != sK49
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl53_23 ),
inference(superposition,[],[f429,f859]) ).
fof(f859,plain,
( sK49 = cons(sK51,sK52)
| ~ spl53_23 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f429,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax21) ).
fof(f913,plain,
( ~ spl53_9
| spl53_2
| ~ spl53_24
| ~ spl53_25 ),
inference(avatar_split_clause,[],[f912,f874,f869,f608,f637]) ).
fof(f637,plain,
( spl53_9
<=> sK50 = app(sK52,cons(sK51,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f608,plain,
( spl53_2
<=> sK50 = app(tl(sK49),cons(hd(sK49),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f869,plain,
( spl53_24
<=> sK52 = tl(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_24])]) ).
fof(f874,plain,
( spl53_25
<=> sK51 = hd(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_25])]) ).
fof(f912,plain,
( sK50 != app(sK52,cons(sK51,nil))
| spl53_2
| ~ spl53_24
| ~ spl53_25 ),
inference(forward_demodulation,[],[f907,f876]) ).
fof(f876,plain,
( sK51 = hd(sK49)
| ~ spl53_25 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f907,plain,
( sK50 != app(sK52,cons(hd(sK49),nil))
| spl53_2
| ~ spl53_24 ),
inference(superposition,[],[f610,f871]) ).
fof(f871,plain,
( sK52 = tl(sK49)
| ~ spl53_24 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f610,plain,
( sK50 != app(tl(sK49),cons(hd(sK49),nil))
| spl53_2 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f877,plain,
( ~ spl53_11
| ~ spl53_12
| spl53_25
| ~ spl53_23 ),
inference(avatar_split_clause,[],[f863,f857,f874,f652,f647]) ).
fof(f863,plain,
( sK51 = hd(sK49)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl53_23 ),
inference(superposition,[],[f431,f859]) ).
fof(f431,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax23) ).
fof(f872,plain,
( ~ spl53_11
| ~ spl53_12
| spl53_24
| ~ spl53_23 ),
inference(avatar_split_clause,[],[f862,f857,f869,f652,f647]) ).
fof(f862,plain,
( sK52 = tl(sK49)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl53_23 ),
inference(superposition,[],[f433,f859]) ).
fof(f433,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax25) ).
fof(f861,plain,
( ~ spl53_11
| ~ spl53_12
| spl53_23
| ~ spl53_10 ),
inference(avatar_split_clause,[],[f849,f642,f857,f652,f647]) ).
fof(f642,plain,
( spl53_10
<=> sK49 = app(cons(sK51,nil),sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f849,plain,
( sK49 = cons(sK51,sK52)
| ~ ssItem(sK51)
| ~ ssList(sK52)
| ~ spl53_10 ),
inference(superposition,[],[f644,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.QBmyQA9UOw/Vampire---4.8_13202',ax81) ).
fof(f644,plain,
( sK49 = app(cons(sK51,nil),sK52)
| ~ spl53_10 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f814,plain,
( ~ spl53_13
| ~ spl53_15
| spl53_14
| spl53_7 ),
inference(avatar_split_clause,[],[f812,f628,f671,f679,f667]) ).
fof(f667,plain,
( spl53_13
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f679,plain,
( spl53_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_15])]) ).
fof(f628,plain,
( spl53_7
<=> neq(sK49,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f812,plain,
( nil = sK49
| ~ ssList(nil)
| ~ ssList(sK49)
| spl53_7 ),
inference(resolution,[],[f630,f420]) ).
fof(f420,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax15) ).
fof(f630,plain,
( ~ neq(sK49,nil)
| spl53_7 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f778,plain,
( ~ spl53_15
| ~ spl53_13
| spl53_14
| spl53_6 ),
inference(avatar_split_clause,[],[f776,f624,f671,f667,f679]) ).
fof(f624,plain,
( spl53_6
<=> neq(nil,sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f776,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ ssList(nil)
| spl53_6 ),
inference(resolution,[],[f626,f420]) ).
fof(f626,plain,
( ~ neq(nil,sK49)
| spl53_6 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f773,plain,
spl53_15,
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| spl53_15 ),
inference(resolution,[],[f681,f422]) ).
fof(f422,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax17) ).
fof(f681,plain,
( ~ ssList(nil)
| spl53_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f684,plain,
( ~ spl53_13
| spl53_14
| spl53_5 ),
inference(avatar_split_clause,[],[f683,f620,f671,f667]) ).
fof(f620,plain,
( spl53_5
<=> ssItem(hd(sK49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f683,plain,
( nil = sK49
| ~ ssList(sK49)
| spl53_5 ),
inference(resolution,[],[f622,f430]) ).
fof(f430,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax22) ).
fof(f622,plain,
( ~ ssItem(hd(sK49))
| spl53_5 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f682,plain,
( ~ spl53_15
| ~ spl53_5
| spl53_4 ),
inference(avatar_split_clause,[],[f677,f616,f620,f679]) ).
fof(f616,plain,
( spl53_4
<=> ssList(cons(hd(sK49),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f677,plain,
( ~ ssItem(hd(sK49))
| ~ ssList(nil)
| spl53_4 ),
inference(resolution,[],[f618,f421]) ).
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.QBmyQA9UOw/Vampire---4.8_13202',ax16) ).
fof(f618,plain,
( ~ ssList(cons(hd(sK49),nil))
| spl53_4 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f676,plain,
spl53_13,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| spl53_13 ),
inference(resolution,[],[f669,f531]) ).
fof(f531,plain,
ssList(sK49),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( ( ( ~ neq(sK50,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& sK50 = app(sK52,cons(sK51,nil))
& sK49 = app(cons(sK51,nil),sK52)
& ssList(sK52)
& ssItem(sK51)
& neq(sK48,nil) ) )
& 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] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ neq(X0,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X0)
| ! [X7] :
( ~ neq(nil,X0)
| hd(X0) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X0) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X1 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X1 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X1 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(sK48,nil) ) )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(sK48,nil) ) )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = sK49
& ssList(X9) )
& ssItem(X8) )
& neq(sK48,nil) ) )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = sK49
& ssList(X9) )
& ssItem(X8) )
& neq(sK48,nil) ) )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK50,nil)
& neq(sK48,nil) )
| ( ( ~ neq(sK47,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK47)
| ! [X7] :
( ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK48 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = sK50
& app(cons(X8,nil),X9) = sK49
& ssList(X9) )
& ssItem(X8) )
& neq(sK48,nil) ) )
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = sK50
& app(cons(X8,nil),X9) = sK49
& ssList(X9) )
& ssItem(X8) )
=> ( ? [X9] :
( sK50 = app(X9,cons(sK51,nil))
& sK49 = app(cons(sK51,nil),X9)
& ssList(X9) )
& ssItem(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
( ? [X9] :
( sK50 = app(X9,cons(sK51,nil))
& sK49 = app(cons(sK51,nil),X9)
& ssList(X9) )
=> ( sK50 = app(sK52,cons(sK51,nil))
& sK49 = app(cons(sK51,nil),sK52)
& ssList(sK52) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ neq(X0,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X0)
| ! [X7] :
( ~ neq(nil,X0)
| hd(X0) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X0) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X1 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ neq(X0,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X0)
| ! [X7] :
( ~ neq(nil,X0)
| hd(X0) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X0) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X1 != X4
| ~ ssList(X4) ) )
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X3
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& neq(X1,nil) ) )
& 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)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( neq(X0,nil)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( neq(nil,X0)
& ? [X7] :
( neq(nil,X0)
& hd(X0) = X7
& cons(X7,nil) = X6
& ssItem(X7) )
& app(X5,X6) = X4
& tl(X0) = X5
& ssList(X6) )
& ssList(X5) )
& X1 = X4
& ssList(X4) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(X9,cons(X8,nil)) != X3
| app(cons(X8,nil),X9) != X2 ) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( neq(X0,nil)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( neq(nil,X0)
& ? [X9] :
( neq(nil,X0)
& hd(X0) = X9
& cons(X9,nil) = X8
& ssItem(X9) )
& app(X7,X8) = X6
& tl(X0) = X7
& ssList(X8) )
& ssList(X7) )
& X1 = X6
& ssList(X6) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( neq(X0,nil)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( neq(nil,X0)
& ? [X9] :
( neq(nil,X0)
& hd(X0) = X9
& cons(X9,nil) = X8
& ssItem(X9) )
& app(X7,X8) = X6
& tl(X0) = X7
& ssList(X8) )
& ssList(X7) )
& X1 = X6
& ssList(X6) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',co1) ).
fof(f669,plain,
( ~ ssList(sK49)
| spl53_13 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f674,plain,
( ~ spl53_13
| spl53_14
| spl53_3 ),
inference(avatar_split_clause,[],[f665,f612,f671,f667]) ).
fof(f612,plain,
( spl53_3
<=> ssList(tl(sK49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f665,plain,
( nil = sK49
| ~ ssList(sK49)
| spl53_3 ),
inference(resolution,[],[f432,f614]) ).
fof(f614,plain,
( ~ ssList(tl(sK49))
| spl53_3 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f432,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QBmyQA9UOw/Vampire---4.8_13202',ax24) ).
fof(f664,plain,
spl53_1,
inference(avatar_split_clause,[],[f555,f604]) ).
fof(f604,plain,
( spl53_1
<=> ssList(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f555,plain,
ssList(sK50),
inference(definition_unfolding,[],[f530,f533]) ).
fof(f533,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f338]) ).
fof(f530,plain,
ssList(sK48),
inference(cnf_transformation,[],[f338]) ).
fof(f662,plain,
spl53_8,
inference(avatar_split_clause,[],[f592,f632]) ).
fof(f632,plain,
( spl53_8
<=> neq(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f592,plain,
neq(sK50,nil),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
( neq(sK50,nil)
| neq(sK50,nil) ),
inference(definition_unfolding,[],[f535,f533,f533]) ).
fof(f535,plain,
( neq(sK48,nil)
| neq(sK48,nil) ),
inference(cnf_transformation,[],[f338]) ).
fof(f655,plain,
( spl53_12
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f542,f632,f652]) ).
fof(f542,plain,
( ~ neq(sK50,nil)
| ssItem(sK51) ),
inference(cnf_transformation,[],[f338]) ).
fof(f650,plain,
( spl53_11
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f543,f632,f647]) ).
fof(f543,plain,
( ~ neq(sK50,nil)
| ssList(sK52) ),
inference(cnf_transformation,[],[f338]) ).
fof(f645,plain,
( spl53_10
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f544,f632,f642]) ).
fof(f544,plain,
( ~ neq(sK50,nil)
| sK49 = app(cons(sK51,nil),sK52) ),
inference(cnf_transformation,[],[f338]) ).
fof(f640,plain,
( spl53_9
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f545,f632,f637]) ).
fof(f545,plain,
( ~ neq(sK50,nil)
| sK50 = app(sK52,cons(sK51,nil)) ),
inference(cnf_transformation,[],[f338]) ).
fof(f635,plain,
( ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4
| ~ spl53_5
| ~ spl53_6
| ~ spl53_7
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f602,f632,f628,f624,f620,f616,f612,f608,f604]) ).
fof(f602,plain,
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| sK50 != app(tl(sK49),cons(hd(sK49),nil))
| ~ ssList(sK50) ),
inference(inner_rewriting,[],[f594]) ).
fof(f594,plain,
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| sK50 != app(tl(sK49),cons(hd(sK49),nil))
| ~ ssList(app(tl(sK49),cons(hd(sK49),nil))) ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f587,plain,
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| sK50 != app(tl(sK49),cons(hd(sK49),nil))
| ~ ssList(app(tl(sK49),cons(hd(sK49),nil))) ),
inference(equality_resolution,[],[f586]) ).
fof(f586,plain,
! [X5] :
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| tl(sK49) != X5
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(X5)
| sK50 != app(X5,cons(hd(sK49),nil))
| ~ ssList(app(X5,cons(hd(sK49),nil))) ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| app(X5,cons(hd(sK49),nil)) != X4
| tl(sK49) != X5
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(X5)
| sK50 != X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f584]) ).
fof(f584,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| cons(hd(sK49),nil) != X6
| ~ ssItem(hd(sK49))
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK50 != X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f547]) ).
fof(f547,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(sK49,nil)
| ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK50 != X4
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f546,f534,f534,f534,f534,f534,f533]) ).
fof(f534,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f338]) ).
fof(f546,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(sK47,nil)
| ~ neq(nil,sK47)
| ~ neq(nil,sK47)
| hd(sK47) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK47) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK48 != X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC316+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n013.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 18:15:04 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.QBmyQA9UOw/Vampire---4.8_13202
% 0.66/0.82 % (13439)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)
% 0.66/0.82 % (13443)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)
% 0.66/0.82 % (13436)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)
% 0.66/0.82 % (13438)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.82 % (13437)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)
% 0.66/0.82 % (13440)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)
% 0.66/0.82 % (13441)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)
% 0.66/0.82 % (13442)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)
% 0.66/0.82 % (13443)Refutation not found, incomplete strategy% (13443)------------------------------
% 0.66/0.82 % (13443)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (13443)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (13443)Memory used [KB]: 1153
% 0.66/0.82 % (13443)Time elapsed: 0.003 s
% 0.66/0.82 % (13443)Instructions burned: 5 (million)
% 0.66/0.82 % (13443)------------------------------
% 0.66/0.82 % (13443)------------------------------
% 0.66/0.83 % (13441)Refutation not found, incomplete strategy% (13441)------------------------------
% 0.66/0.83 % (13441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83 % (13441)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83
% 0.66/0.83 % (13441)Memory used [KB]: 1149
% 0.66/0.83 % (13441)Time elapsed: 0.004 s
% 0.66/0.83 % (13441)Instructions burned: 5 (million)
% 0.66/0.83 % (13441)------------------------------
% 0.66/0.83 % (13441)------------------------------
% 0.66/0.83 % (13445)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)
% 0.66/0.83 % (13446)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)
% 0.66/0.83 % (13439)Instruction limit reached!
% 0.66/0.83 % (13439)------------------------------
% 0.66/0.83 % (13439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83 % (13439)Termination reason: Unknown
% 0.66/0.83 % (13439)Termination phase: Saturation
% 0.66/0.83
% 0.66/0.83 % (13439)Memory used [KB]: 1678
% 0.66/0.83 % (13439)Time elapsed: 0.011 s
% 0.66/0.83 % (13439)Instructions burned: 33 (million)
% 0.66/0.83 % (13439)------------------------------
% 0.66/0.83 % (13439)------------------------------
% 0.66/0.83 % (13450)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)
% 0.66/0.84 % (13437)First to succeed.
% 0.68/0.84 % (13440)Instruction limit reached!
% 0.68/0.84 % (13440)------------------------------
% 0.68/0.84 % (13440)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84 % (13437)Refutation found. Thanks to Tanya!
% 0.68/0.84 % SZS status Theorem for Vampire---4
% 0.68/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.84 % (13437)------------------------------
% 0.68/0.84 % (13437)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84 % (13437)Termination reason: Refutation
% 0.68/0.84
% 0.68/0.84 % (13437)Memory used [KB]: 1503
% 0.68/0.84 % (13437)Time elapsed: 0.019 s
% 0.68/0.84 % (13437)Instructions burned: 30 (million)
% 0.68/0.84 % (13437)------------------------------
% 0.68/0.84 % (13437)------------------------------
% 0.68/0.84 % (13369)Success in time 0.461 s
% 0.68/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------