TSTP Solution File: SWV403+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n023.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 18:45:28 EDT 2022
% Result : Theorem 1.61s 0.71s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 102 ( 7 unt; 0 def)
% Number of atoms : 295 ( 38 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 307 ( 114 ~; 115 |; 47 &)
% ( 16 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 200 ( 166 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f215,f229,f266,f278,f280,f298,f305,f306,f314,f320,f324,f337,f341]) ).
fof(f341,plain,
( ~ spl6_19
| spl6_16 ),
inference(avatar_split_clause,[],[f340,f257,f334]) ).
fof(f334,plain,
( spl6_19
<=> pair_in_list(update_slb(sK0,sK1),sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f257,plain,
( spl6_16
<=> pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f340,plain,
( ~ pair_in_list(update_slb(sK0,sK1),sK5,sK1)
| spl6_16 ),
inference(resolution,[],[f259,f91]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0)
| ~ pair_in_list(X3,X2,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0)
| ( ( X0 != X1
| X2 != X4 )
& ~ pair_in_list(X3,X2,X0) ) )
& ( ( X0 = X1
& X2 = X4 )
| pair_in_list(X3,X2,X0)
| ~ pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X4,X2,X0,X1,X3] :
( ( pair_in_list(insert_slb(X1,pair(X3,X2)),X0,X4)
| ( ( X2 != X4
| X0 != X3 )
& ~ pair_in_list(X1,X0,X4) ) )
& ( ( X2 = X4
& X0 = X3 )
| pair_in_list(X1,X0,X4)
| ~ pair_in_list(insert_slb(X1,pair(X3,X2)),X0,X4) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X4,X2,X0,X1,X3] :
( ( pair_in_list(insert_slb(X1,pair(X3,X2)),X0,X4)
| ( ( X2 != X4
| X0 != X3 )
& ~ pair_in_list(X1,X0,X4) ) )
& ( ( X2 = X4
& X0 = X3 )
| pair_in_list(X1,X0,X4)
| ~ pair_in_list(insert_slb(X1,pair(X3,X2)),X0,X4) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X4,X2,X0,X1,X3] :
( pair_in_list(insert_slb(X1,pair(X3,X2)),X0,X4)
<=> ( ( X2 = X4
& X0 = X3 )
| pair_in_list(X1,X0,X4) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X3,X1,X4] :
( ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) )
<=> pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f259,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK5,sK1)
| spl6_16 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f337,plain,
( spl6_19
| spl6_3
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f332,f252,f149,f334]) ).
fof(f149,plain,
( spl6_3
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f252,plain,
( spl6_15
<=> pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f332,plain,
( sK3 = sK5
| pair_in_list(update_slb(sK0,sK1),sK5,sK1)
| ~ spl6_15 ),
inference(resolution,[],[f253,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0)
| pair_in_list(X3,X2,X0)
| X2 = X4 ),
inference(cnf_transformation,[],[f63]) ).
fof(f253,plain,
( pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK5,sK1)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f324,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f322,f153,f149]) ).
fof(f153,plain,
( spl6_4
<=> pair_in_list(sK0,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f322,plain,
( pair_in_list(sK0,sK5,sK4)
| sK3 = sK5 ),
inference(resolution,[],[f72,f89]) ).
fof(f72,plain,
pair_in_list(insert_slb(sK0,pair(sK3,sK2)),sK5,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ! [X1,X2,X3] :
( ~ pair_in_list(sK0,X3,X1)
| pair_in_list(update_slb(sK0,X2),X3,X2)
| ~ strictly_less_than(X1,X2) )
& strictly_less_than(sK4,sK1)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK3,sK2)),sK1),sK5,sK1)
& pair_in_list(insert_slb(sK0,pair(sK3,sK2)),sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f48,f50,f49]) ).
fof(f49,plain,
( ? [X0] :
( ! [X1,X2,X3] :
( ~ pair_in_list(X0,X3,X1)
| pair_in_list(update_slb(X0,X2),X3,X2)
| ~ strictly_less_than(X1,X2) )
& ? [X4,X5,X6,X7,X8] :
( strictly_less_than(X7,X4)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X6,X5)),X4),X8,X4)
& pair_in_list(insert_slb(X0,pair(X6,X5)),X8,X7) ) )
=> ( ! [X3,X2,X1] :
( ~ pair_in_list(sK0,X3,X1)
| pair_in_list(update_slb(sK0,X2),X3,X2)
| ~ strictly_less_than(X1,X2) )
& ? [X8,X7,X6,X5,X4] :
( strictly_less_than(X7,X4)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(X6,X5)),X4),X8,X4)
& pair_in_list(insert_slb(sK0,pair(X6,X5)),X8,X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X8,X7,X6,X5,X4] :
( strictly_less_than(X7,X4)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(X6,X5)),X4),X8,X4)
& pair_in_list(insert_slb(sK0,pair(X6,X5)),X8,X7) )
=> ( strictly_less_than(sK4,sK1)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK3,sK2)),sK1),sK5,sK1)
& pair_in_list(insert_slb(sK0,pair(sK3,sK2)),sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ! [X1,X2,X3] :
( ~ pair_in_list(X0,X3,X1)
| pair_in_list(update_slb(X0,X2),X3,X2)
| ~ strictly_less_than(X1,X2) )
& ? [X4,X5,X6,X7,X8] :
( strictly_less_than(X7,X4)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X6,X5)),X4),X8,X4)
& pair_in_list(insert_slb(X0,pair(X6,X5)),X8,X7) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ! [X2,X1,X3] :
( ~ pair_in_list(X0,X3,X2)
| pair_in_list(update_slb(X0,X1),X3,X1)
| ~ strictly_less_than(X2,X1) )
& ? [X6,X7,X4,X8,X5] :
( strictly_less_than(X8,X6)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X7)),X6),X5,X6)
& pair_in_list(insert_slb(X0,pair(X4,X7)),X5,X8) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0] :
( ? [X5,X8,X6,X4,X7] :
( ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X7)),X6),X5,X6)
& pair_in_list(insert_slb(X0,pair(X4,X7)),X5,X8)
& strictly_less_than(X8,X6) )
& ! [X2,X1,X3] :
( pair_in_list(update_slb(X0,X1),X3,X1)
| ~ strictly_less_than(X2,X1)
| ~ pair_in_list(X0,X3,X2) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] :
( ! [X2,X1,X3] :
( ( strictly_less_than(X2,X1)
& pair_in_list(X0,X3,X2) )
=> pair_in_list(update_slb(X0,X1),X3,X1) )
=> ! [X5,X8,X6,X4,X7] :
( ( pair_in_list(insert_slb(X0,pair(X4,X7)),X5,X8)
& strictly_less_than(X8,X6) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X4,X7)),X6),X5,X6) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X3,X2,X1] :
( ( strictly_less_than(X2,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) )
=> ! [X7,X4,X6,X8,X5] :
( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& strictly_less_than(X5,X6) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ! [X3,X2,X1] :
( ( strictly_less_than(X2,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) )
=> ! [X7,X4,X6,X8,X5] :
( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& strictly_less_than(X5,X6) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
fof(f320,plain,
spl6_2,
inference(avatar_split_clause,[],[f74,f115]) ).
fof(f115,plain,
( spl6_2
<=> strictly_less_than(sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f74,plain,
strictly_less_than(sK4,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f314,plain,
( spl6_10
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f308,f178,f209]) ).
fof(f209,plain,
( spl6_10
<=> strictly_less_than(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f178,plain,
( spl6_8
<=> sK4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f308,plain,
( strictly_less_than(sK2,sK1)
| ~ spl6_8 ),
inference(backward_demodulation,[],[f74,f180]) ).
fof(f180,plain,
( sK4 = sK2
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f306,plain,
( ~ spl6_15
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f304,f209,f252]) ).
fof(f304,plain,
( ~ strictly_less_than(sK2,sK1)
| ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK5,sK1) ),
inference(superposition,[],[f73,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( insert_slb(update_slb(X2,X3),pair(X0,X3)) = update_slb(insert_slb(X2,pair(X0,X1)),X3)
| ~ strictly_less_than(X1,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ strictly_less_than(X1,X3)
| insert_slb(update_slb(X2,X3),pair(X0,X3)) = update_slb(insert_slb(X2,pair(X0,X1)),X3) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X3,X2,X1,X0] :
( ~ strictly_less_than(X2,X0)
| update_slb(insert_slb(X1,pair(X3,X2)),X0) = insert_slb(update_slb(X1,X0),pair(X3,X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X3,X0] :
( strictly_less_than(X2,X0)
=> update_slb(insert_slb(X1,pair(X3,X2)),X0) = insert_slb(update_slb(X1,X0),pair(X3,X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X2,X0,X3,X1] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f73,plain,
~ pair_in_list(update_slb(insert_slb(sK0,pair(sK3,sK2)),sK1),sK5,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f305,plain,
( ~ spl6_12
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f303,f257,f226]) ).
fof(f226,plain,
( spl6_12
<=> less_than(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f303,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK5,sK1)
| ~ less_than(sK1,sK2) ),
inference(superposition,[],[f73,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X3,X2)),X1) = insert_slb(update_slb(X0,X1),pair(X3,X2))
| ~ less_than(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ less_than(X1,X2)
| update_slb(insert_slb(X0,pair(X3,X2)),X1) = insert_slb(update_slb(X0,X1),pair(X3,X2)) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2,X3] :
( ~ less_than(X0,X2)
| update_slb(insert_slb(X1,pair(X3,X2)),X0) = insert_slb(update_slb(X1,X0),pair(X3,X2)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1,X3] :
( less_than(X0,X2)
=> update_slb(insert_slb(X1,pair(X3,X2)),X0) = insert_slb(update_slb(X1,X0),pair(X3,X2)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X0,X3,X1] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f298,plain,
( ~ spl6_9
| ~ spl6_3
| spl6_15 ),
inference(avatar_split_clause,[],[f295,f252,f149,f205]) ).
fof(f205,plain,
( spl6_9
<=> pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f295,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK3,sK1)
| ~ spl6_3
| spl6_15 ),
inference(backward_demodulation,[],[f254,f151]) ).
fof(f151,plain,
( sK3 = sK5
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f254,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK5,sK1)
| spl6_15 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f280,plain,
( ~ spl6_2
| ~ spl6_4
| spl6_15 ),
inference(avatar_split_clause,[],[f279,f252,f153,f115]) ).
fof(f279,plain,
( ~ strictly_less_than(sK4,sK1)
| ~ spl6_4
| spl6_15 ),
inference(resolution,[],[f276,f155]) ).
fof(f155,plain,
( pair_in_list(sK0,sK5,sK4)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f276,plain,
( ! [X0] :
( ~ pair_in_list(sK0,sK5,X0)
| ~ strictly_less_than(X0,sK1) )
| spl6_15 ),
inference(resolution,[],[f274,f75]) ).
fof(f75,plain,
! [X2,X3,X1] :
( pair_in_list(update_slb(sK0,X2),X3,X2)
| ~ strictly_less_than(X1,X2)
| ~ pair_in_list(sK0,X3,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f274,plain,
( ~ pair_in_list(update_slb(sK0,sK1),sK5,sK1)
| spl6_15 ),
inference(resolution,[],[f254,f91]) ).
fof(f278,plain,
( ~ spl6_2
| ~ spl6_7
| spl6_11 ),
inference(avatar_split_clause,[],[f277,f222,f174,f115]) ).
fof(f174,plain,
( spl6_7
<=> pair_in_list(sK0,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f222,plain,
( spl6_11
<=> pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f277,plain,
( ~ strictly_less_than(sK4,sK1)
| ~ spl6_7
| spl6_11 ),
inference(resolution,[],[f275,f176]) ).
fof(f176,plain,
( pair_in_list(sK0,sK3,sK4)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f275,plain,
( ! [X0] :
( ~ pair_in_list(sK0,sK3,X0)
| ~ strictly_less_than(X0,sK1) )
| spl6_11 ),
inference(resolution,[],[f273,f75]) ).
fof(f273,plain,
( ~ pair_in_list(update_slb(sK0,sK1),sK3,sK1)
| spl6_11 ),
inference(resolution,[],[f224,f91]) ).
fof(f224,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK3,sK1)
| spl6_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f266,plain,
( spl6_12
| spl6_10 ),
inference(avatar_split_clause,[],[f265,f209,f226]) ).
fof(f265,plain,
( less_than(sK1,sK2)
| spl6_10 ),
inference(resolution,[],[f211,f109]) ).
fof(f109,plain,
! [X2,X3] :
( strictly_less_than(X3,X2)
| less_than(X2,X3) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X2,X3] :
( less_than(X2,X3)
| strictly_less_than(X3,X2)
| less_than(X2,X3) ),
inference(resolution,[],[f86,f84]) ).
fof(f84,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( less_than(X0,X1)
| less_than(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f86,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) )
& ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( ( ~ less_than(X0,X1)
& less_than(X1,X0) )
| ~ strictly_less_than(X1,X0) )
& ( strictly_less_than(X1,X0)
| less_than(X0,X1)
| ~ less_than(X1,X0) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( ( ~ less_than(X0,X1)
& less_than(X1,X0) )
| ~ strictly_less_than(X1,X0) )
& ( strictly_less_than(X1,X0)
| less_than(X0,X1)
| ~ less_than(X1,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( ~ less_than(X0,X1)
& less_than(X1,X0) )
<=> strictly_less_than(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( strictly_less_than(X0,X1)
<=> ( less_than(X0,X1)
& ~ less_than(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f211,plain,
( ~ strictly_less_than(sK2,sK1)
| spl6_10 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f229,plain,
( ~ spl6_11
| ~ spl6_12
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f218,f149,f226,f222]) ).
fof(f218,plain,
( ~ less_than(sK1,sK2)
| ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK2)),sK3,sK1)
| ~ spl6_3 ),
inference(superposition,[],[f157,f81]) ).
fof(f157,plain,
( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK3,sK2)),sK1),sK3,sK1)
| ~ spl6_3 ),
inference(backward_demodulation,[],[f73,f151]) ).
fof(f215,plain,
spl6_9,
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| spl6_9 ),
inference(resolution,[],[f207,f97]) ).
fof(f97,plain,
! [X3,X1,X4] : pair_in_list(insert_slb(X3,pair(X4,X1)),X4,X1),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X3,X1,X4] :
( pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X1)
| X2 != X4 ),
inference(equality_resolution,[],[f92]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0)
| X0 != X1
| X2 != X4 ),
inference(cnf_transformation,[],[f63]) ).
fof(f207,plain,
( ~ pair_in_list(insert_slb(update_slb(sK0,sK1),pair(sK3,sK1)),sK3,sK1)
| spl6_9 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f181,plain,
( spl6_7
| spl6_8
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f172,f149,f178,f174]) ).
fof(f172,plain,
( sK4 = sK2
| pair_in_list(sK0,sK3,sK4)
| ~ spl6_3 ),
inference(resolution,[],[f90,f158]) ).
fof(f158,plain,
( pair_in_list(insert_slb(sK0,pair(sK3,sK2)),sK3,sK4)
| ~ spl6_3 ),
inference(backward_demodulation,[],[f72,f151]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X3,pair(X4,X1)),X2,X0)
| X0 = X1
| pair_in_list(X3,X2,X0) ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:43:20 EDT 2022
% 0.14/0.35 % CPUTime :
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% 0.74/0.66 % (28308)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.74/0.66 % (28308)Instruction limit reached!
% 0.74/0.66 % (28308)------------------------------
% 0.74/0.66 % (28308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.66 % (28299)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 (2998ds/49Mi)
% 1.31/0.66 % (28308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.66 % (28308)Termination reason: Unknown
% 1.31/0.66 % (28308)Termination phase: Finite model building preprocessing
% 1.31/0.66
% 1.31/0.66 % (28308)Memory used [KB]: 1407
% 1.31/0.66 % (28308)Time elapsed: 0.004 s
% 1.31/0.66 % (28308)Instructions burned: 3 (million)
% 1.31/0.66 % (28308)------------------------------
% 1.31/0.66 % (28308)------------------------------
% 1.31/0.67 % (28319)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 (2998ds/8Mi)
% 1.31/0.67 % (28293)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 (2998ds/51Mi)
% 1.36/0.67 % (28317)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 (2998ds/99Mi)
% 1.36/0.67 % (28316)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 (2998ds/95Mi)
% 1.36/0.67 % (28294)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.36/0.68 % (28309)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 (2998ds/2Mi)
% 1.36/0.68 % (28303)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 (2998ds/16Mi)
% 1.36/0.68 % (28309)Instruction limit reached!
% 1.36/0.68 % (28309)------------------------------
% 1.36/0.68 % (28309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.68 % (28309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.68 % (28309)Termination reason: Unknown
% 1.36/0.68 % (28309)Termination phase: Saturation
% 1.36/0.68
% 1.36/0.68 % (28309)Memory used [KB]: 5884
% 1.36/0.68 % (28309)Time elapsed: 0.003 s
% 1.36/0.68 % (28309)Instructions burned: 3 (million)
% 1.36/0.68 % (28309)------------------------------
% 1.36/0.68 % (28309)------------------------------
% 1.36/0.68 % (28292)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 (2998ds/3Mi)
% 1.36/0.68 % (28292)Instruction limit reached!
% 1.36/0.68 % (28292)------------------------------
% 1.36/0.68 % (28292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.68 % (28292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.68 % (28292)Termination reason: Unknown
% 1.36/0.68 % (28292)Termination phase: Saturation
% 1.36/0.68
% 1.36/0.68 % (28292)Memory used [KB]: 5884
% 1.36/0.68 % (28292)Time elapsed: 0.003 s
% 1.36/0.68 % (28292)Instructions burned: 3 (million)
% 1.36/0.68 % (28292)------------------------------
% 1.36/0.68 % (28292)------------------------------
% 1.36/0.68 % (28313)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 (2998ds/82Mi)
% 1.36/0.68 % (28296)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 (2998ds/15Mi)
% 1.36/0.69 % (28319)Instruction limit reached!
% 1.36/0.69 % (28319)------------------------------
% 1.36/0.69 % (28319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.69 % (28319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.69 % (28319)Termination reason: Unknown
% 1.36/0.69 % (28319)Termination phase: Saturation
% 1.36/0.69
% 1.36/0.69 % (28319)Memory used [KB]: 6012
% 1.36/0.69 % (28319)Time elapsed: 0.102 s
% 1.36/0.69 % (28319)Instructions burned: 8 (million)
% 1.36/0.69 % (28319)------------------------------
% 1.36/0.69 % (28319)------------------------------
% 1.36/0.69 % (28313)First to succeed.
% 1.36/0.69 % (28320)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 (2998ds/24Mi)
% 1.36/0.69 % (28306)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 (2998ds/7Mi)
% 1.36/0.70 % (28303)Instruction limit reached!
% 1.36/0.70 % (28303)------------------------------
% 1.36/0.70 % (28303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.70 % (28303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.70 % (28303)Termination reason: Unknown
% 1.36/0.70 % (28303)Termination phase: Saturation
% 1.36/0.70
% 1.36/0.70 % (28303)Memory used [KB]: 1535
% 1.36/0.70 % (28303)Time elapsed: 0.118 s
% 1.36/0.70 % (28303)Instructions burned: 16 (million)
% 1.36/0.70 % (28303)------------------------------
% 1.36/0.70 % (28303)------------------------------
% 1.36/0.70 % (28306)Instruction limit reached!
% 1.36/0.70 % (28306)------------------------------
% 1.36/0.70 % (28306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.70 % (28306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.70 % (28306)Termination reason: Unknown
% 1.36/0.70 % (28306)Termination phase: Saturation
% 1.36/0.70
% 1.36/0.70 % (28306)Memory used [KB]: 6012
% 1.36/0.70 % (28306)Time elapsed: 0.116 s
% 1.36/0.70 % (28306)Instructions burned: 7 (million)
% 1.36/0.70 % (28306)------------------------------
% 1.36/0.70 % (28306)------------------------------
% 1.36/0.70 % (28305)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 (2998ds/3Mi)
% 1.36/0.70 % (28305)Instruction limit reached!
% 1.36/0.70 % (28305)------------------------------
% 1.36/0.70 % (28305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.70 % (28305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.70 % (28305)Termination reason: Unknown
% 1.36/0.70 % (28305)Termination phase: Saturation
% 1.36/0.70
% 1.36/0.70 % (28305)Memory used [KB]: 6012
% 1.36/0.70 % (28305)Time elapsed: 0.128 s
% 1.36/0.70 % (28305)Instructions burned: 4 (million)
% 1.36/0.70 % (28305)------------------------------
% 1.36/0.70 % (28305)------------------------------
% 1.36/0.70 % (28294)Instruction limit reached!
% 1.36/0.70 % (28294)------------------------------
% 1.36/0.70 % (28294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.70 % (28294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.70 % (28294)Termination reason: Unknown
% 1.36/0.70 % (28294)Termination phase: Saturation
% 1.36/0.70
% 1.36/0.70 % (28294)Memory used [KB]: 6012
% 1.36/0.70 % (28294)Time elapsed: 0.120 s
% 1.36/0.70 % (28294)Instructions burned: 14 (million)
% 1.36/0.70 % (28294)------------------------------
% 1.36/0.70 % (28294)------------------------------
% 1.36/0.70 % (28296)Instruction limit reached!
% 1.36/0.70 % (28296)------------------------------
% 1.36/0.70 % (28296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.70 % (28296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.70 % (28296)Termination reason: Unknown
% 1.36/0.70 % (28296)Termination phase: Saturation
% 1.36/0.70
% 1.36/0.70 % (28296)Memory used [KB]: 1535
% 1.36/0.70 % (28296)Time elapsed: 0.122 s
% 1.36/0.70 % (28296)Instructions burned: 15 (million)
% 1.36/0.70 % (28296)------------------------------
% 1.36/0.70 % (28296)------------------------------
% 1.61/0.71 % (28313)Refutation found. Thanks to Tanya!
% 1.61/0.71 % SZS status Theorem for theBenchmark
% 1.61/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.71 % (28313)------------------------------
% 1.61/0.71 % (28313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.71 % (28313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.71 % (28313)Termination reason: Refutation
% 1.61/0.71
% 1.61/0.71 % (28313)Memory used [KB]: 6140
% 1.61/0.71 % (28313)Time elapsed: 0.109 s
% 1.61/0.71 % (28313)Instructions burned: 8 (million)
% 1.61/0.71 % (28313)------------------------------
% 1.61/0.71 % (28313)------------------------------
% 1.61/0.71 % (28156)Success in time 0.341 s
%------------------------------------------------------------------------------