TSTP Solution File: SWC417+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC417+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 : n024.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 18:41:04 EDT 2022
% Result : Theorem 1.48s 0.56s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 75 ( 11 unt; 0 def)
% Number of atoms : 416 ( 130 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 520 ( 179 ~; 157 |; 152 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 135 ( 75 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f764,plain,
$false,
inference(avatar_sat_refutation,[],[f600,f627,f646,f647,f649,f651,f664,f665,f706,f712,f763]) ).
fof(f763,plain,
( ~ spl53_2
| ~ spl53_4
| spl53_21 ),
inference(avatar_split_clause,[],[f762,f703,f605,f597]) ).
fof(f597,plain,
( spl53_2
<=> ssItem(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f605,plain,
( spl53_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f703,plain,
( spl53_21
<=> ssList(cons(sK23,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_21])]) ).
fof(f762,plain,
( ~ ssList(nil)
| ~ ssItem(sK23)
| spl53_21 ),
inference(resolution,[],[f370,f705]) ).
fof(f705,plain,
( ~ ssList(cons(sK23,nil))
| spl53_21 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f370,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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(f712,plain,
spl53_20,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| spl53_20 ),
inference(resolution,[],[f708,f547]) ).
fof(f547,plain,
ssList(sK19),
inference(definition_unfolding,[],[f444,f441]) ).
fof(f441,plain,
sK21 = sK19,
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ssList(sK20)
& ssList(sK21)
& ssList(sK22)
& sK22 = sK20
& sK21 = sK19
& ( ( ssItem(sK23)
& ssList(sK24)
& app(sK24,cons(sK23,nil)) = sK21
& app(cons(sK23,nil),sK24) = sK22
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(sK22,nil)
& neq(sK20,nil) ) )
& ssList(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22,sK23,sK24])],[f271,f277,f276,f275,f274,f273,f272]) ).
fof(f272,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(X1,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != X0
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) ) ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& sK19 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(X1,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) ) ) ) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& sK19 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(X1,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) ) ) ) )
=> ( ssList(sK20)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& sK20 = X3
& sK19 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(sK20,nil) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f274,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& sK20 = X3
& sK19 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(sK20,nil) ) ) ) )
=> ( ssList(sK21)
& ? [X3] :
( ssList(X3)
& sK20 = X3
& sK21 = sK19
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = X3 ) )
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(sK20,nil) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
( ? [X3] :
( ssList(X3)
& sK20 = X3
& sK21 = sK19
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = X3 ) )
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(sK20,nil) ) ) )
=> ( ssList(sK22)
& sK22 = sK20
& sK21 = sK19
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK22 ) )
& neq(sK20,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(sK22,nil)
& neq(sK20,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK22 ) )
=> ( ssItem(sK23)
& ? [X5] :
( ssList(X5)
& app(X5,cons(sK23,nil)) = sK21
& sK22 = app(cons(sK23,nil),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
( ? [X5] :
( ssList(X5)
& app(X5,cons(sK23,nil)) = sK21
& sK22 = app(cons(sK23,nil),X5) )
=> ( ssList(sK24)
& app(sK24,cons(sK23,nil)) = sK21
& app(cons(sK23,nil),sK24) = sK22 ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3 ) )
& neq(X1,nil)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != X0
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) ) ) ) )
& ssList(X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& app(cons(X7,nil),X8) = X3 ) )
& neq(X1,nil)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) ) ) ) )
& ssList(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X7] :
( ? [X8] :
( app(cons(X7,nil),X8) = X3
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) != X2 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) != X2 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f444,plain,
ssList(sK21),
inference(cnf_transformation,[],[f278]) ).
fof(f708,plain,
( ~ ssList(sK19)
| spl53_20 ),
inference(trivial_inequality_removal,[],[f707]) ).
fof(f707,plain,
( ~ ssList(sK19)
| sK19 != sK19
| spl53_20 ),
inference(superposition,[],[f701,f364]) ).
fof(f364,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f701,plain,
( app(sK19,nil) != sK19
| spl53_20 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl53_20
<=> app(sK19,nil) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_20])]) ).
fof(f706,plain,
( ~ spl53_20
| ~ spl53_21
| ~ spl53_4
| ~ spl53_12
| ~ spl53_14 ),
inference(avatar_split_clause,[],[f697,f662,f643,f605,f703,f699]) ).
fof(f643,plain,
( spl53_12
<=> app(cons(sK23,nil),sK24) = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f662,plain,
( spl53_14
<=> ! [X0] :
( app(sK19,X0) != sK19
| app(app(X0,cons(sK23,nil)),sK24) != sK20
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f697,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK23,nil))
| app(sK19,nil) != sK19
| ~ spl53_12
| ~ spl53_14 ),
inference(trivial_inequality_removal,[],[f696]) ).
fof(f696,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK23,nil))
| sK20 != sK20
| app(sK19,nil) != sK19
| ~ spl53_12
| ~ spl53_14 ),
inference(forward_demodulation,[],[f690,f645]) ).
fof(f645,plain,
( app(cons(sK23,nil),sK24) = sK20
| ~ spl53_12 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f690,plain,
( ~ ssList(cons(sK23,nil))
| ~ ssList(nil)
| app(cons(sK23,nil),sK24) != sK20
| app(sK19,nil) != sK19
| ~ spl53_14 ),
inference(superposition,[],[f663,f511]) ).
fof(f511,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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(f663,plain,
( ! [X0] :
( app(app(X0,cons(sK23,nil)),sK24) != sK20
| ~ ssList(X0)
| app(sK19,X0) != sK19 )
| ~ spl53_14 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
spl53_4,
inference(avatar_split_clause,[],[f408,f605]) ).
fof(f408,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f664,plain,
( ~ spl53_2
| ~ spl53_8
| spl53_14
| ~ spl53_5
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f660,f639,f610,f662,f624,f597]) ).
fof(f624,plain,
( spl53_8
<=> ssList(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f610,plain,
( spl53_5
<=> app(sK24,cons(sK23,nil)) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f639,plain,
( spl53_11
<=> ! [X6,X7,X8] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| ~ ssList(X8)
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssItem(X6)
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f660,plain,
( ! [X0] :
( app(sK19,X0) != sK19
| ~ ssList(X0)
| ~ ssList(sK24)
| ~ ssItem(sK23)
| app(app(X0,cons(sK23,nil)),sK24) != sK20 )
| ~ spl53_5
| ~ spl53_11 ),
inference(superposition,[],[f640,f612]) ).
fof(f612,plain,
( app(sK24,cons(sK23,nil)) = sK19
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f640,plain,
( ! [X8,X6,X7] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7) )
| ~ spl53_11 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f651,plain,
( ~ spl53_1
| spl53_11 ),
inference(avatar_split_clause,[],[f556,f639,f593]) ).
fof(f593,plain,
( spl53_1
<=> neq(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f556,plain,
! [X8,X6,X7] :
( app(app(X7,cons(X6,nil)),X8) != sK20
| app(app(X8,cons(X6,nil)),X7) != sK19
| ~ neq(sK20,nil)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f430,f442]) ).
fof(f442,plain,
sK22 = sK20,
inference(cnf_transformation,[],[f278]) ).
fof(f430,plain,
! [X8,X6,X7] :
( app(app(X8,cons(X6,nil)),X7) != sK19
| app(app(X7,cons(X6,nil)),X8) != sK20
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ neq(sK22,nil) ),
inference(cnf_transformation,[],[f278]) ).
fof(f649,plain,
( ~ spl53_1
| spl53_5 ),
inference(avatar_split_clause,[],[f551,f610,f593]) ).
fof(f551,plain,
( app(sK24,cons(sK23,nil)) = sK19
| ~ neq(sK20,nil) ),
inference(definition_unfolding,[],[f436,f441,f442]) ).
fof(f436,plain,
( app(sK24,cons(sK23,nil)) = sK21
| ~ neq(sK22,nil) ),
inference(cnf_transformation,[],[f278]) ).
fof(f647,plain,
spl53_1,
inference(avatar_split_clause,[],[f586,f593]) ).
fof(f586,plain,
neq(sK20,nil),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f431,plain,
( neq(sK20,nil)
| neq(sK20,nil) ),
inference(cnf_transformation,[],[f278]) ).
fof(f646,plain,
( spl53_12
| ~ spl53_1 ),
inference(avatar_split_clause,[],[f553,f593,f643]) ).
fof(f553,plain,
( ~ neq(sK20,nil)
| app(cons(sK23,nil),sK24) = sK20 ),
inference(definition_unfolding,[],[f434,f442,f442]) ).
fof(f434,plain,
( app(cons(sK23,nil),sK24) = sK22
| ~ neq(sK22,nil) ),
inference(cnf_transformation,[],[f278]) ).
fof(f627,plain,
( spl53_8
| ~ spl53_1 ),
inference(avatar_split_clause,[],[f550,f593,f624]) ).
fof(f550,plain,
( ~ neq(sK20,nil)
| ssList(sK24) ),
inference(definition_unfolding,[],[f438,f442]) ).
fof(f438,plain,
( ssList(sK24)
| ~ neq(sK22,nil) ),
inference(cnf_transformation,[],[f278]) ).
fof(f600,plain,
( ~ spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f549,f597,f593]) ).
fof(f549,plain,
( ssItem(sK23)
| ~ neq(sK20,nil) ),
inference(definition_unfolding,[],[f440,f442]) ).
fof(f440,plain,
( ssItem(sK23)
| ~ neq(sK22,nil) ),
inference(cnf_transformation,[],[f278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC417+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:57:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (8775)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)
% 0.19/0.47 % (8780)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)
% 0.19/0.48 % (8788)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)
% 0.19/0.48 % (8783)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)
% 0.19/0.48 % (8776)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)
% 0.19/0.49 % (8791)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)
% 0.19/0.49 % (8774)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)
% 0.19/0.49 % (8796)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)
% 0.19/0.49 % (8783)Instruction limit reached!
% 0.19/0.49 % (8783)------------------------------
% 0.19/0.49 % (8783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8783)Termination reason: Unknown
% 0.19/0.50 % (8783)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (8783)Memory used [KB]: 6140
% 0.19/0.50 % (8783)Time elapsed: 0.102 s
% 0.19/0.50 % (8783)Instructions burned: 7 (million)
% 0.19/0.50 % (8783)------------------------------
% 0.19/0.50 % (8783)------------------------------
% 0.19/0.50 % (8791)Refutation not found, incomplete strategy% (8791)------------------------------
% 0.19/0.50 % (8791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8791)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8791)Memory used [KB]: 6012
% 0.19/0.50 % (8791)Time elapsed: 0.110 s
% 0.19/0.50 % (8791)Instructions burned: 4 (million)
% 0.19/0.50 % (8791)------------------------------
% 0.19/0.50 % (8791)------------------------------
% 0.19/0.51 % (8776)Instruction limit reached!
% 0.19/0.51 % (8776)------------------------------
% 0.19/0.51 % (8776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8776)Termination reason: Unknown
% 0.19/0.51 % (8776)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (8776)Memory used [KB]: 6268
% 0.19/0.51 % (8776)Time elapsed: 0.114 s
% 0.19/0.51 % (8776)Instructions burned: 13 (million)
% 0.19/0.51 % (8776)------------------------------
% 0.19/0.51 % (8776)------------------------------
% 0.19/0.51 % (8774)Instruction limit reached!
% 0.19/0.51 % (8774)------------------------------
% 0.19/0.51 % (8774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8774)Termination reason: Unknown
% 0.19/0.51 % (8774)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (8774)Memory used [KB]: 1663
% 0.19/0.51 % (8774)Time elapsed: 0.005 s
% 0.19/0.51 % (8774)Instructions burned: 4 (million)
% 0.19/0.51 % (8774)------------------------------
% 0.19/0.51 % (8774)------------------------------
% 0.19/0.51 % (8784)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)
% 0.19/0.51 % (8779)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)
% 0.19/0.51 % (8778)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)
% 0.19/0.51 % (8777)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)
% 0.19/0.52 % (8790)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)
% 0.19/0.52 % (8772)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (8782)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)
% 0.19/0.53 % (8790)Instruction limit reached!
% 0.19/0.53 % (8790)------------------------------
% 0.19/0.53 % (8790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8790)Termination reason: Unknown
% 0.19/0.53 % (8790)Termination phase: SInE selection
% 0.19/0.53
% 0.19/0.53 % (8790)Memory used [KB]: 1407
% 0.19/0.53 % (8790)Time elapsed: 0.003 s
% 0.19/0.53 % (8790)Instructions burned: 2 (million)
% 0.19/0.53 % (8790)------------------------------
% 0.19/0.53 % (8790)------------------------------
% 0.19/0.53 % (8794)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)
% 0.19/0.53 % (8802)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)
% 0.19/0.53 % (8775)Instruction limit reached!
% 0.19/0.53 % (8775)------------------------------
% 0.19/0.53 % (8775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8786)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)
% 0.19/0.53 % (8782)Refutation not found, incomplete strategy% (8782)------------------------------
% 0.19/0.53 % (8782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8798)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)
% 0.19/0.53 % (8782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8782)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (8782)Memory used [KB]: 6140
% 0.19/0.53 % (8782)Time elapsed: 0.138 s
% 0.19/0.53 % (8782)Instructions burned: 5 (million)
% 0.19/0.53 % (8782)------------------------------
% 0.19/0.53 % (8782)------------------------------
% 0.19/0.53 % (8786)Instruction limit reached!
% 0.19/0.53 % (8786)------------------------------
% 0.19/0.53 % (8786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8793)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)
% 0.19/0.53 % (8786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8786)Termination reason: Unknown
% 0.19/0.53 % (8786)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (8786)Memory used [KB]: 1535
% 0.19/0.53 % (8786)Time elapsed: 0.003 s
% 0.19/0.53 % (8786)Instructions burned: 3 (million)
% 0.19/0.53 % (8786)------------------------------
% 0.19/0.53 % (8786)------------------------------
% 0.19/0.54 % (8785)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)
% 0.19/0.54 % (8784)Instruction limit reached!
% 0.19/0.54 % (8784)------------------------------
% 0.19/0.54 % (8784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8784)Termination reason: Unknown
% 0.19/0.54 % (8784)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8784)Memory used [KB]: 2046
% 0.19/0.54 % (8784)Time elapsed: 0.151 s
% 0.19/0.54 % (8784)Instructions burned: 17 (million)
% 0.19/0.54 % (8784)------------------------------
% 0.19/0.54 % (8784)------------------------------
% 1.48/0.54 % (8801)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)
% 1.48/0.55 % (8795)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)
% 1.48/0.55 % (8789)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.48/0.55 % (8775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (8775)Termination reason: Unknown
% 1.48/0.55 % (8775)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (8775)Memory used [KB]: 7036
% 1.48/0.55 % (8775)Time elapsed: 0.137 s
% 1.48/0.55 % (8775)Instructions burned: 51 (million)
% 1.48/0.55 % (8775)------------------------------
% 1.48/0.55 % (8775)------------------------------
% 1.48/0.55 % (8801)Instruction limit reached!
% 1.48/0.55 % (8801)------------------------------
% 1.48/0.55 % (8801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (8801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (8801)Termination reason: Unknown
% 1.48/0.55 % (8801)Termination phase: Property scanning
% 1.48/0.55
% 1.48/0.55 % (8801)Memory used [KB]: 1791
% 1.48/0.55 % (8801)Time elapsed: 0.007 s
% 1.48/0.55 % (8801)Instructions burned: 9 (million)
% 1.48/0.55 % (8801)------------------------------
% 1.48/0.55 % (8801)------------------------------
% 1.48/0.55 % (8792)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)
% 1.48/0.55 % (8780)Instruction limit reached!
% 1.48/0.55 % (8780)------------------------------
% 1.48/0.55 % (8780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (8780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (8780)Termination reason: Unknown
% 1.48/0.55 % (8780)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (8780)Memory used [KB]: 6780
% 1.48/0.55 % (8780)Time elapsed: 0.164 s
% 1.48/0.55 % (8780)Instructions burned: 50 (million)
% 1.48/0.55 % (8780)------------------------------
% 1.48/0.55 % (8780)------------------------------
% 1.48/0.55 % (8794)First to succeed.
% 1.48/0.55 % (8777)Instruction limit reached!
% 1.48/0.55 % (8777)------------------------------
% 1.48/0.55 % (8777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (8777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (8777)Termination reason: Unknown
% 1.48/0.55 % (8777)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (8777)Memory used [KB]: 1663
% 1.48/0.55 % (8777)Time elapsed: 0.160 s
% 1.48/0.55 % (8777)Instructions burned: 16 (million)
% 1.48/0.55 % (8777)------------------------------
% 1.48/0.55 % (8777)------------------------------
% 1.48/0.55 % (8787)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)
% 1.48/0.55 % (8797)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)
% 1.48/0.56 % (8794)Refutation found. Thanks to Tanya!
% 1.48/0.56 % SZS status Theorem for theBenchmark
% 1.48/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.56 % (8794)------------------------------
% 1.64/0.56 % (8794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (8794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (8794)Termination reason: Refutation
% 1.64/0.56
% 1.64/0.56 % (8794)Memory used [KB]: 6524
% 1.64/0.56 % (8794)Time elapsed: 0.155 s
% 1.64/0.56 % (8794)Instructions burned: 16 (million)
% 1.64/0.56 % (8794)------------------------------
% 1.64/0.56 % (8794)------------------------------
% 1.64/0.56 % (8768)Success in time 0.203 s
%------------------------------------------------------------------------------