TSTP Solution File: SWC418+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC418+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 Aug 31 18:41:05 EDT 2022
% Result : Theorem 1.36s 0.61s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 123 ( 14 unt; 0 def)
% Number of atoms : 728 ( 249 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 1027 ( 422 ~; 411 |; 145 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 216 ( 167 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1088,plain,
$false,
inference(avatar_sat_refutation,[],[f596,f635,f655,f711,f744,f746,f748,f764,f766,f920,f924,f939,f958,f986,f1079,f1087]) ).
fof(f1087,plain,
( ~ spl51_23
| spl51_15
| spl51_49 ),
inference(avatar_split_clause,[],[f1086,f1076,f646,f708]) ).
fof(f708,plain,
( spl51_23
<=> ssList(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f646,plain,
( spl51_15
<=> nil = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f1076,plain,
( spl51_49
<=> sK10 = cons(hd(sK10),tl(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_49])]) ).
fof(f1086,plain,
( nil = sK10
| ~ ssList(sK10)
| spl51_49 ),
inference(trivial_inequality_removal,[],[f1085]) ).
fof(f1085,plain,
( nil = sK10
| ~ ssList(sK10)
| sK10 != sK10
| spl51_49 ),
inference(superposition,[],[f1078,f519]) ).
fof(f519,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f1078,plain,
( sK10 != cons(hd(sK10),tl(sK10))
| spl51_49 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1079,plain,
( ~ spl51_9
| ~ spl51_49
| ~ spl51_6
| spl51_40 ),
inference(avatar_split_clause,[],[f1047,f955,f608,f1076,f620]) ).
fof(f620,plain,
( spl51_9
<=> ssItem(hd(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f608,plain,
( spl51_6
<=> ssList(tl(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f955,plain,
( spl51_40
<=> app(cons(hd(sK10),nil),tl(sK10)) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_40])]) ).
fof(f1047,plain,
( ~ ssList(tl(sK10))
| sK10 != cons(hd(sK10),tl(sK10))
| ~ ssItem(hd(sK10))
| spl51_40 ),
inference(superposition,[],[f957,f359]) ).
fof(f359,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) ) ),
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/benchmark/theBenchmark.p',ax81) ).
fof(f957,plain,
( app(cons(hd(sK10),nil),tl(sK10)) != sK10
| spl51_40 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f986,plain,
( ~ spl51_29
| spl51_39 ),
inference(avatar_split_clause,[],[f985,f951,f877]) ).
fof(f877,plain,
( spl51_29
<=> ssList(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_29])]) ).
fof(f951,plain,
( spl51_39
<=> app(sK11,nil) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).
fof(f985,plain,
( ~ ssList(sK11)
| spl51_39 ),
inference(trivial_inequality_removal,[],[f984]) ).
fof(f984,plain,
( sK11 != sK11
| ~ ssList(sK11)
| spl51_39 ),
inference(superposition,[],[f953,f373]) ).
fof(f373,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f953,plain,
( app(sK11,nil) != sK11
| spl51_39 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f958,plain,
( ~ spl51_1
| ~ spl51_39
| ~ spl51_8
| ~ spl51_40
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f949,f937,f955,f616,f951,f583]) ).
fof(f583,plain,
( spl51_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f616,plain,
( spl51_8
<=> ssList(cons(hd(sK10),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f937,plain,
( spl51_37
<=> ! [X0] :
( app(app(X0,cons(hd(sK10),nil)),tl(sK10)) != sK10
| app(sK11,X0) != sK11
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_37])]) ).
fof(f949,plain,
( app(cons(hd(sK10),nil),tl(sK10)) != sK10
| ~ ssList(cons(hd(sK10),nil))
| app(sK11,nil) != sK11
| ~ ssList(nil)
| ~ spl51_37 ),
inference(superposition,[],[f938,f379]) ).
fof(f379,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,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/benchmark/theBenchmark.p',ax28) ).
fof(f938,plain,
( ! [X0] :
( app(app(X0,cons(hd(sK10),nil)),tl(sK10)) != sK10
| app(sK11,X0) != sK11
| ~ ssList(X0) )
| ~ spl51_37 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f939,plain,
( ~ spl51_9
| ~ spl51_6
| spl51_37
| ~ spl51_12 ),
inference(avatar_split_clause,[],[f929,f632,f937,f608,f620]) ).
fof(f632,plain,
( spl51_12
<=> app(tl(sK10),cons(hd(sK10),nil)) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_12])]) ).
fof(f929,plain,
( ! [X0] :
( app(app(X0,cons(hd(sK10),nil)),tl(sK10)) != sK10
| ~ ssList(X0)
| app(sK11,X0) != sK11
| ~ ssList(tl(sK10))
| ~ ssItem(hd(sK10)) )
| ~ spl51_12 ),
inference(superposition,[],[f539,f634]) ).
fof(f634,plain,
( app(tl(sK10),cons(hd(sK10),nil)) = sK11
| ~ spl51_12 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f539,plain,
! [X6,X4,X5] :
( app(app(X6,cons(X4,nil)),X5) != sK11
| ~ ssList(X6)
| ~ ssItem(X4)
| app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f385,f383]) ).
fof(f383,plain,
sK9 = sK11,
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ssList(sK10)
& ( nil != sK12
| nil = sK11 )
& neq(sK10,nil)
& sK12 = sK10
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,sK12)
| cons(X10,nil) != X9
| hd(sK12) != X10
| ~ ssItem(X10) )
| tl(sK12) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,sK12) ) )
| ~ ssList(X7)
| sK11 = X7 )
| ~ neq(sK12,nil) )
& sK9 = sK11
& ssList(sK12)
& ssList(sK11)
& ssList(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f245,f249,f248,f247,f246]) ).
fof(f246,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X1 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != X0 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& X0 = X2
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X1 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& sK9 = X2
& ssList(X3) )
& ssList(X2) ) )
& ssList(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X1 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& sK9 = X2
& ssList(X3) )
& ssList(X2) ) )
=> ( ssList(sK10)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(sK10,nil)
& sK10 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& sK9 = X2
& ssList(X3) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(sK10,nil)
& sK10 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& sK9 = X2
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != X3
| nil = sK11 )
& neq(sK10,nil)
& sK10 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| sK11 = X7 )
| ~ neq(X3,nil) )
& sK9 = sK11
& ssList(X3) )
& ssList(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
( ? [X3] :
( ( nil != X3
| nil = sK11 )
& neq(sK10,nil)
& sK10 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| sK11 = X7 )
| ~ neq(X3,nil) )
& sK9 = sK11
& ssList(X3) )
=> ( ( nil != sK12
| nil = sK11 )
& neq(sK10,nil)
& sK12 = sK10
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,sK12)
| cons(X10,nil) != X9
| hd(sK12) != X10
| ~ ssItem(X10) )
| tl(sK12) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,sK12) ) )
| ~ ssList(X7)
| sK11 = X7 )
| ~ neq(sK12,nil) )
& sK9 = sK11
& ssList(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X1 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != X0 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ( ! [X7] :
( ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( ~ neq(nil,X3)
| cons(X10,nil) != X9
| hd(X3) != X10
| ~ ssItem(X10) )
| tl(X3) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,X3) ) )
| ~ ssList(X7)
| X2 = X7 )
| ~ neq(X3,nil) )
& X0 = X2
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil != X3
| nil = X2 )
& neq(X1,nil)
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10)
| app(app(X10,cons(X8,nil)),X9) != X0 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& ( ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7
| ~ ssItem(X7) )
| tl(X3) != X5
| ~ ssList(X6)
| app(X5,X6) != X4
| ~ neq(nil,X3) ) )
| ~ ssList(X4)
| X2 = X4 )
| ~ neq(X3,nil) )
& X0 = X2
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10)
| app(app(X10,cons(X8,nil)),X9) != X0 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& ( ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7
| ~ ssItem(X7) )
| tl(X3) != X5
| ~ ssList(X6)
| app(X5,X6) != X4
| ~ neq(nil,X3) ) )
| ~ ssList(X4)
| X2 = X4 )
| ~ neq(X3,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(X1,nil)
| ( nil != X2
& nil = X3 )
| ? [X8] :
( ? [X9] :
( ? [X10] :
( ssList(X10)
& app(app(X9,cons(X8,nil)),X10) = X1
& app(app(X10,cons(X8,nil)),X9) = X0 )
& ssList(X9) )
& ssItem(X8) )
| ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& neq(nil,X3)
& tl(X3) = X5
& app(X5,X6) = X4
& ? [X7] :
( cons(X7,nil) = X6
& ssItem(X7)
& neq(nil,X3)
& hd(X3) = X7 ) ) )
& X2 != X4 )
& neq(X3,nil) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( neq(X3,nil)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ? [X9] :
( neq(nil,X3)
& ssList(X9)
& app(X8,X9) = X7
& tl(X3) = X8
& ? [X10] :
( ssItem(X10)
& neq(nil,X3)
& cons(X10,nil) = X9
& hd(X3) = X10 ) )
& ssList(X8) )
& X2 != X7 ) )
| X1 != X3
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0
& ssList(X6) ) )
& ssItem(X4) )
| ~ neq(X1,nil)
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( neq(X3,nil)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ? [X9] :
( neq(nil,X3)
& ssList(X9)
& app(X8,X9) = X7
& tl(X3) = X8
& ? [X10] :
( ssItem(X10)
& neq(nil,X3)
& cons(X10,nil) = X9
& hd(X3) = X10 ) )
& ssList(X8) )
& X2 != X7 ) )
| X1 != X3
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0
& ssList(X6) ) )
& ssItem(X4) )
| ~ neq(X1,nil)
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f385,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK9
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f250]) ).
fof(f924,plain,
spl51_29,
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| spl51_29 ),
inference(resolution,[],[f879,f542]) ).
fof(f542,plain,
ssList(sK11),
inference(definition_unfolding,[],[f380,f383]) ).
fof(f380,plain,
ssList(sK9),
inference(cnf_transformation,[],[f250]) ).
fof(f879,plain,
( ~ ssList(sK11)
| spl51_29 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f920,plain,
( ~ spl51_1
| ~ spl51_23
| spl51_15
| spl51_11 ),
inference(avatar_split_clause,[],[f917,f628,f646,f708,f583]) ).
fof(f628,plain,
( spl51_11
<=> neq(nil,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f917,plain,
( nil = sK10
| ~ ssList(sK10)
| ~ ssList(nil)
| spl51_11 ),
inference(resolution,[],[f521,f630]) ).
fof(f630,plain,
( ~ neq(nil,sK10)
| spl51_11 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f521,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,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/benchmark/theBenchmark.p',ax15) ).
fof(f766,plain,
( ~ spl51_6
| ~ spl51_8
| spl51_10 ),
inference(avatar_split_clause,[],[f765,f624,f616,f608]) ).
fof(f624,plain,
( spl51_10
<=> ssList(app(tl(sK10),cons(hd(sK10),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f765,plain,
( ~ ssList(cons(hd(sK10),nil))
| ~ ssList(tl(sK10))
| spl51_10 ),
inference(resolution,[],[f626,f421]) ).
fof(f421,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f626,plain,
( ~ ssList(app(tl(sK10),cons(hd(sK10),nil)))
| spl51_10 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f764,plain,
( ~ spl51_23
| spl51_15
| spl51_9 ),
inference(avatar_split_clause,[],[f763,f620,f646,f708]) ).
fof(f763,plain,
( nil = sK10
| ~ ssList(sK10)
| spl51_9 ),
inference(resolution,[],[f530,f622]) ).
fof(f622,plain,
( ~ ssItem(hd(sK10))
| spl51_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f530,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f115]) ).
fof(f115,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/benchmark/theBenchmark.p',ax22) ).
fof(f748,plain,
( ~ spl51_9
| ~ spl51_1
| spl51_8 ),
inference(avatar_split_clause,[],[f747,f616,f583,f620]) ).
fof(f747,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK10))
| spl51_8 ),
inference(resolution,[],[f618,f498]) ).
fof(f498,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f618,plain,
( ~ ssList(cons(hd(sK10),nil))
| spl51_8 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f746,plain,
spl51_23,
inference(avatar_split_clause,[],[f541,f708]) ).
fof(f541,plain,
ssList(sK10),
inference(definition_unfolding,[],[f382,f386]) ).
fof(f386,plain,
sK12 = sK10,
inference(cnf_transformation,[],[f250]) ).
fof(f382,plain,
ssList(sK12),
inference(cnf_transformation,[],[f250]) ).
fof(f744,plain,
( ~ spl51_1
| ~ spl51_7
| ~ spl51_15 ),
inference(avatar_split_clause,[],[f742,f646,f612,f583]) ).
fof(f612,plain,
( spl51_7
<=> neq(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f742,plain,
( ~ ssList(nil)
| ~ spl51_7
| ~ spl51_15 ),
inference(resolution,[],[f736,f575]) ).
fof(f575,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f572]) ).
fof(f572,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f520]) ).
fof(f520,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f736,plain,
( neq(nil,nil)
| ~ spl51_7
| ~ spl51_15 ),
inference(backward_demodulation,[],[f613,f647]) ).
fof(f647,plain,
( nil = sK10
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f613,plain,
( neq(sK10,nil)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f711,plain,
( ~ spl51_23
| spl51_15
| spl51_6 ),
inference(avatar_split_clause,[],[f706,f608,f646,f708]) ).
fof(f706,plain,
( nil = sK10
| ~ ssList(sK10)
| spl51_6 ),
inference(resolution,[],[f468,f610]) ).
fof(f610,plain,
( ~ ssList(tl(sK10))
| spl51_6 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f468,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssList(tl(X0)) ),
inference(flattening,[],[f107]) ).
fof(f107,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/benchmark/theBenchmark.p',ax24) ).
fof(f655,plain,
spl51_7,
inference(avatar_split_clause,[],[f387,f612]) ).
fof(f387,plain,
neq(sK10,nil),
inference(cnf_transformation,[],[f250]) ).
fof(f635,plain,
( ~ spl51_6
| ~ spl51_7
| ~ spl51_8
| ~ spl51_9
| ~ spl51_10
| ~ spl51_11
| spl51_12 ),
inference(avatar_split_clause,[],[f576,f632,f628,f624,f620,f616,f612,f608]) ).
fof(f576,plain,
( app(tl(sK10),cons(hd(sK10),nil)) = sK11
| ~ neq(nil,sK10)
| ~ ssList(app(tl(sK10),cons(hd(sK10),nil)))
| ~ ssItem(hd(sK10))
| ~ ssList(cons(hd(sK10),nil))
| ~ neq(sK10,nil)
| ~ ssList(tl(sK10)) ),
inference(duplicate_literal_removal,[],[f551]) ).
fof(f551,plain,
( app(tl(sK10),cons(hd(sK10),nil)) = sK11
| ~ ssList(tl(sK10))
| ~ neq(sK10,nil)
| ~ ssList(app(tl(sK10),cons(hd(sK10),nil)))
| ~ ssList(cons(hd(sK10),nil))
| ~ ssItem(hd(sK10))
| ~ neq(nil,sK10)
| ~ neq(nil,sK10) ),
inference(equality_resolution,[],[f550]) ).
fof(f550,plain,
! [X7] :
( ~ ssList(tl(sK10))
| ~ neq(nil,sK10)
| ~ ssItem(hd(sK10))
| ~ ssList(cons(hd(sK10),nil))
| app(tl(sK10),cons(hd(sK10),nil)) != X7
| ~ neq(nil,sK10)
| ~ ssList(X7)
| sK11 = X7
| ~ neq(sK10,nil) ),
inference(equality_resolution,[],[f549]) ).
fof(f549,plain,
! [X8,X7] :
( ~ ssList(X8)
| ~ neq(nil,sK10)
| ~ ssItem(hd(sK10))
| tl(sK10) != X8
| ~ ssList(cons(hd(sK10),nil))
| app(X8,cons(hd(sK10),nil)) != X7
| ~ neq(nil,sK10)
| ~ ssList(X7)
| sK11 = X7
| ~ neq(sK10,nil) ),
inference(equality_resolution,[],[f548]) ).
fof(f548,plain,
! [X10,X8,X7] :
( ~ ssList(X8)
| ~ neq(nil,sK10)
| hd(sK10) != X10
| ~ ssItem(X10)
| tl(sK10) != X8
| ~ ssList(cons(X10,nil))
| app(X8,cons(X10,nil)) != X7
| ~ neq(nil,sK10)
| ~ ssList(X7)
| sK11 = X7
| ~ neq(sK10,nil) ),
inference(equality_resolution,[],[f540]) ).
fof(f540,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X8)
| ~ neq(nil,sK10)
| cons(X10,nil) != X9
| hd(sK10) != X10
| ~ ssItem(X10)
| tl(sK10) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,sK10)
| ~ ssList(X7)
| sK11 = X7
| ~ neq(sK10,nil) ),
inference(definition_unfolding,[],[f384,f386,f386,f386,f386,f386]) ).
fof(f384,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X8)
| ~ neq(nil,sK12)
| cons(X10,nil) != X9
| hd(sK12) != X10
| ~ ssItem(X10)
| tl(sK12) != X8
| ~ ssList(X9)
| app(X8,X9) != X7
| ~ neq(nil,sK12)
| ~ ssList(X7)
| sK11 = X7
| ~ neq(sK12,nil) ),
inference(cnf_transformation,[],[f250]) ).
fof(f596,plain,
spl51_1,
inference(avatar_split_clause,[],[f491,f583]) ).
fof(f491,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC418+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 18:51:17 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.23/0.52 % (11488)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.23/0.53 % (11509)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.23/0.53 % (11499)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.23/0.53 % (11494)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.36/0.54 % (11515)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.54 % (11489)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.54 % (11490)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.54 % (11489)Instruction limit reached!
% 1.36/0.54 % (11489)------------------------------
% 1.36/0.54 % (11489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (11489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (11489)Termination reason: Unknown
% 1.36/0.54 % (11489)Termination phase: Preprocessing 3
% 1.36/0.54
% 1.36/0.54 % (11489)Memory used [KB]: 1663
% 1.36/0.54 % (11489)Time elapsed: 0.003 s
% 1.36/0.54 % (11489)Instructions burned: 3 (million)
% 1.36/0.54 % (11489)------------------------------
% 1.36/0.54 % (11489)------------------------------
% 1.36/0.54 % (11487)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.36/0.55 % (11507)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.36/0.55 % (11492)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.36/0.55 % (11498)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.55 % (11495)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.36/0.55 % (11500)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.55 % (11513)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.36/0.55 % (11507)Refutation not found, incomplete strategy% (11507)------------------------------
% 1.36/0.55 % (11507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (11507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (11507)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.55
% 1.36/0.55 % (11507)Memory used [KB]: 6268
% 1.36/0.55 % (11507)Time elapsed: 0.129 s
% 1.36/0.55 % (11507)Instructions burned: 9 (million)
% 1.36/0.55 % (11507)------------------------------
% 1.36/0.55 % (11507)------------------------------
% 1.36/0.55 % (11503)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.55 % (11511)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.36/0.55 % (11510)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.36/0.56 % (11499)Instruction limit reached!
% 1.36/0.56 % (11499)------------------------------
% 1.36/0.56 % (11499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (11499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (11499)Termination reason: Unknown
% 1.36/0.56 % (11499)Termination phase: Saturation
% 1.36/0.56
% 1.36/0.56 % (11499)Memory used [KB]: 2046
% 1.36/0.56 % (11499)Time elapsed: 0.127 s
% 1.36/0.56 % (11499)Instructions burned: 16 (million)
% 1.36/0.56 % (11499)------------------------------
% 1.36/0.56 % (11499)------------------------------
% 1.36/0.56 % (11504)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.56 % (11504)Instruction limit reached!
% 1.36/0.56 % (11504)------------------------------
% 1.36/0.56 % (11504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (11504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (11504)Termination reason: Unknown
% 1.36/0.56 % (11504)Termination phase: Preprocessing 3
% 1.36/0.56
% 1.36/0.56 % (11504)Memory used [KB]: 1663
% 1.36/0.56 % (11504)Time elapsed: 0.003 s
% 1.36/0.56 % (11504)Instructions burned: 4 (million)
% 1.36/0.56 % (11504)------------------------------
% 1.36/0.56 % (11504)------------------------------
% 1.36/0.56 % (11496)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.36/0.56 % (11516)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.36/0.56 % (11497)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.36/0.56 % (11494)Refutation not found, non-redundant clauses discarded% (11494)------------------------------
% 1.36/0.56 % (11494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (11494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (11494)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.36/0.56
% 1.36/0.56 % (11494)Memory used [KB]: 6524
% 1.36/0.56 % (11494)Time elapsed: 0.140 s
% 1.36/0.56 % (11494)Instructions burned: 35 (million)
% 1.36/0.56 % (11494)------------------------------
% 1.36/0.56 % (11494)------------------------------
% 1.36/0.56 % (11517)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.36/0.56 % (11501)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.56 % (11501)Instruction limit reached!
% 1.36/0.56 % (11501)------------------------------
% 1.36/0.56 % (11501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (11501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (11501)Termination reason: Unknown
% 1.36/0.56 % (11501)Termination phase: Preprocessing 2
% 1.36/0.56
% 1.36/0.56 % (11501)Memory used [KB]: 1535
% 1.36/0.56 % (11501)Time elapsed: 0.003 s
% 1.36/0.56 % (11501)Instructions burned: 3 (million)
% 1.36/0.56 % (11501)------------------------------
% 1.36/0.56 % (11501)------------------------------
% 1.36/0.56 % (11491)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.36/0.56 % (11497)Refutation not found, incomplete strategy% (11497)------------------------------
% 1.36/0.56 % (11497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (11497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (11497)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.56
% 1.36/0.56 % (11497)Memory used [KB]: 6140
% 1.36/0.56 % (11497)Time elapsed: 0.149 s
% 1.36/0.56 % (11497)Instructions burned: 7 (million)
% 1.36/0.56 % (11497)------------------------------
% 1.36/0.56 % (11497)------------------------------
% 1.36/0.57 % (11512)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.57 % (11502)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.57 % (11488)Instruction limit reached!
% 1.36/0.57 % (11488)------------------------------
% 1.36/0.57 % (11488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (11488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (11488)Termination reason: Unknown
% 1.36/0.57 % (11488)Termination phase: Saturation
% 1.36/0.57
% 1.36/0.57 % (11488)Memory used [KB]: 6396
% 1.36/0.57 % (11488)Time elapsed: 0.009 s
% 1.36/0.57 % (11488)Instructions burned: 13 (million)
% 1.36/0.57 % (11488)------------------------------
% 1.36/0.57 % (11488)------------------------------
% 1.36/0.57 % (11508)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.36/0.57 % (11498)Instruction limit reached!
% 1.36/0.57 % (11498)------------------------------
% 1.36/0.57 % (11498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (11498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (11498)Termination reason: Unknown
% 1.36/0.57 % (11498)Termination phase: Saturation
% 1.36/0.57
% 1.36/0.57 % (11498)Memory used [KB]: 6140
% 1.36/0.57 % (11498)Time elapsed: 0.143 s
% 1.36/0.57 % (11498)Instructions burned: 8 (million)
% 1.36/0.57 % (11498)------------------------------
% 1.36/0.57 % (11498)------------------------------
% 1.36/0.57 % (11502)Instruction limit reached!
% 1.36/0.57 % (11502)------------------------------
% 1.36/0.57 % (11502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (11502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (11502)Termination reason: Unknown
% 1.36/0.57 % (11502)Termination phase: Function definition elimination
% 1.36/0.57
% 1.36/0.57 % (11502)Memory used [KB]: 1791
% 1.36/0.57 % (11502)Time elapsed: 0.006 s
% 1.36/0.57 % (11502)Instructions burned: 8 (million)
% 1.36/0.57 % (11502)------------------------------
% 1.36/0.57 % (11502)------------------------------
% 1.36/0.57 % (11515)Instruction limit reached!
% 1.36/0.57 % (11515)------------------------------
% 1.36/0.57 % (11515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (11515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (11515)Termination reason: Unknown
% 1.36/0.57 % (11515)Termination phase: Saturation
% 1.36/0.57
% 1.36/0.57 % (11515)Memory used [KB]: 6652
% 1.36/0.57 % (11515)Time elapsed: 0.132 s
% 1.36/0.57 % (11515)Instructions burned: 25 (million)
% 1.36/0.57 % (11515)------------------------------
% 1.36/0.57 % (11515)------------------------------
% 1.36/0.57 % (11493)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.36/0.57 % (11505)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.57 % (11505)Instruction limit reached!
% 1.36/0.57 % (11505)------------------------------
% 1.36/0.57 % (11505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (11505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (11505)Termination reason: Unknown
% 1.36/0.57 % (11505)Termination phase: Preprocessing 3
% 1.36/0.57
% 1.36/0.57 % (11505)Memory used [KB]: 1535
% 1.36/0.57 % (11505)Time elapsed: 0.002 s
% 1.36/0.57 % (11505)Instructions burned: 2 (million)
% 1.36/0.57 % (11505)------------------------------
% 1.36/0.57 % (11505)------------------------------
% 1.36/0.57 % (11514)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.58 % (11492)Instruction limit reached!
% 1.36/0.58 % (11492)------------------------------
% 1.36/0.58 % (11492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.58 % (11492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.58 % (11492)Termination reason: Unknown
% 1.36/0.58 % (11492)Termination phase: Saturation
% 1.36/0.58
% 1.36/0.58 % (11492)Memory used [KB]: 1663
% 1.36/0.58 % (11492)Time elapsed: 0.157 s
% 1.36/0.58 % (11492)Instructions burned: 16 (million)
% 1.36/0.58 % (11492)------------------------------
% 1.36/0.58 % (11492)------------------------------
% 1.36/0.58 % (11516)Instruction limit reached!
% 1.36/0.58 % (11516)------------------------------
% 1.36/0.58 % (11516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.58 % (11516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.58 % (11516)Termination reason: Unknown
% 1.36/0.58 % (11516)Termination phase: Equality resolution with deletion
% 1.36/0.58
% 1.36/0.58 % (11516)Memory used [KB]: 1791
% 1.36/0.58 % (11516)Time elapsed: 0.005 s
% 1.36/0.58 % (11516)Instructions burned: 8 (million)
% 1.36/0.58 % (11516)------------------------------
% 1.36/0.58 % (11516)------------------------------
% 1.36/0.59 % (11491)Instruction limit reached!
% 1.36/0.59 % (11491)------------------------------
% 1.36/0.59 % (11491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.59 % (11491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.59 % (11491)Termination reason: Unknown
% 1.36/0.59 % (11491)Termination phase: Saturation
% 1.36/0.59
% 1.36/0.59 % (11491)Memory used [KB]: 6268
% 1.36/0.59 % (11491)Time elapsed: 0.165 s
% 1.36/0.59 % (11491)Instructions burned: 14 (million)
% 1.36/0.59 % (11491)------------------------------
% 1.36/0.59 % (11491)------------------------------
% 1.36/0.59 % (11510)First to succeed.
% 1.36/0.60 % (11493)Also succeeded, but the first one will report.
% 1.36/0.61 % (11496)Instruction limit reached!
% 1.36/0.61 % (11496)------------------------------
% 1.36/0.61 % (11496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.61 % (11517)Instruction limit reached!
% 1.36/0.61 % (11517)------------------------------
% 1.36/0.61 % (11517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.61 % (11496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.61 % (11496)Termination reason: Unknown
% 1.36/0.61 % (11517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.61 % (11496)Termination phase: Saturation
% 1.36/0.61 % (11517)Termination reason: Unknown
% 1.36/0.61
% 1.36/0.61 % (11517)Termination phase: Saturation
% 1.36/0.61
% 1.36/0.61 % (11496)Memory used [KB]: 6524
% 1.36/0.61 % (11517)Memory used [KB]: 6396
% 1.36/0.61 % (11496)Time elapsed: 0.178 s
% 1.36/0.61 % (11517)Time elapsed: 0.196 s
% 1.36/0.61 % (11496)Instructions burned: 34 (million)
% 1.36/0.61 % (11517)Instructions burned: 24 (million)
% 1.36/0.61 % (11496)------------------------------
% 1.36/0.61 % (11496)------------------------------
% 1.36/0.61 % (11517)------------------------------
% 1.36/0.61 % (11517)------------------------------
% 1.36/0.61 % (11510)Refutation found. Thanks to Tanya!
% 1.36/0.61 % SZS status Theorem for theBenchmark
% 1.36/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.61 % (11510)------------------------------
% 1.36/0.61 % (11510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.61 % (11510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.61 % (11510)Termination reason: Refutation
% 1.36/0.61
% 1.36/0.61 % (11510)Memory used [KB]: 6652
% 1.36/0.61 % (11510)Time elapsed: 0.137 s
% 1.36/0.61 % (11510)Instructions burned: 24 (million)
% 1.36/0.61 % (11510)------------------------------
% 1.36/0.61 % (11510)------------------------------
% 1.36/0.61 % (11486)Success in time 0.237 s
%------------------------------------------------------------------------------