TSTP Solution File: SWW400-1 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW400-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n021.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 : Mon Jun 24 18:51:45 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 54
% Syntax : Number of formulae : 139 ( 24 unt; 0 def)
% Number of atoms : 380 ( 59 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 442 ( 201 ~; 202 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 40 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 340 ( 340 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f603,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f25,f30,f34,f38,f42,f47,f51,f55,f77,f85,f89,f97,f107,f116,f128,f145,f154,f158,f169,f177,f181,f185,f318,f332,f349,f362,f382,f401,f405,f409,f441,f445,f477,f500,f504,f560,f565,f583,f602]) ).
fof(f602,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f561,f557,f87,f17]) ).
fof(f17,plain,
( spl0_1
<=> heap(sep(lseg(x1,nil),emp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f87,plain,
( spl0_12
<=> ! [X2,X4,X3] :
( heap(sep(lseg(X3,nil),X2))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f557,plain,
( spl0_37
<=> heap(sep(lseg(x1,x2),sep(lseg(x2,nil),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f561,plain,
( heap(sep(lseg(x1,nil),emp))
| ~ spl0_12
| ~ spl0_37 ),
inference(resolution,[],[f559,f88]) ).
fof(f88,plain,
( ! [X2,X3,X4] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2)))
| heap(sep(lseg(X3,nil),X2)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f559,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x2,nil),emp)))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f583,plain,
( spl0_39
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f159,f156,f53,f581]) ).
fof(f581,plain,
( spl0_39
<=> ! [X5,X4,X0,X3,X2,X1] : ~ heap(sep(next(X0,X4),sep(X5,sep(X2,sep(next(X0,X1),X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f53,plain,
( spl0_9
<=> ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f156,plain,
( spl0_19
<=> ! [X4,X0,X3,X2,X1] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f159,plain,
( ! [X2,X3,X0,X1,X4,X5] : ~ heap(sep(next(X0,X4),sep(X5,sep(X2,sep(next(X0,X1),X3)))))
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f157,f54]) ).
fof(f54,plain,
( ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f157,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f565,plain,
( spl0_38
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f146,f143,f53,f563]) ).
fof(f563,plain,
( spl0_38
<=> ! [X0,X3,X2,X1] :
( ~ heap(sep(X3,sep(X1,sep(lseg(nil,X0),X2))))
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f143,plain,
( spl0_17
<=> ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f146,plain,
( ! [X2,X3,X0,X1] :
( ~ heap(sep(X3,sep(X1,sep(lseg(nil,X0),X2))))
| nil = X0 )
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f144,f54]) ).
fof(f144,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f560,plain,
( spl0_3
| spl0_37
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f300,f183,f53,f44,f557,f27]) ).
fof(f27,plain,
( spl0_3
<=> nil = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f44,plain,
( spl0_7
<=> heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f183,plain,
( spl0_23
<=> ! [X2,X0,X1] :
( ~ heap(sep(next(X2,X0),X1))
| heap(sep(lseg(X2,X0),X1))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f300,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x2,nil),emp)))
| nil = x2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f295,f54]) ).
fof(f295,plain,
( heap(sep(lseg(x2,nil),sep(lseg(x1,x2),emp)))
| nil = x2
| ~ spl0_7
| ~ spl0_23 ),
inference(resolution,[],[f184,f46]) ).
fof(f46,plain,
( heap(sep(next(x2,nil),sep(lseg(x1,x2),emp)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f184,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(next(X2,X0),X1))
| heap(sep(lseg(X2,X0),X1))
| X0 = X2 )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f504,plain,
( spl0_36
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f129,f126,f53,f502]) ).
fof(f502,plain,
( spl0_36
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X4,X5),sep(lseg(X5,X0),sep(X2,sep(lseg(X0,X1),X3)))))
| heap(sep(lseg(X4,X0),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f126,plain,
( spl0_16
<=> ! [X5,X3,X4,X6,X2] :
( X5 = X6
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f129,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X4,X5),sep(lseg(X5,X0),sep(X2,sep(lseg(X0,X1),X3)))))
| heap(sep(lseg(X4,X0),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X1 )
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f127,f54]) ).
fof(f127,plain,
( ! [X2,X3,X6,X4,X5] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2))))
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| X5 = X6 )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f500,plain,
( spl0_35
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f233,f175,f95,f498]) ).
fof(f498,plain,
( spl0_35
<=> ! [X4,X0,X3,X2,X1] : ~ heap(sep(X4,sep(X1,sep(X2,sep(next(nil,X0),X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f95,plain,
( spl0_13
<=> ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f175,plain,
( spl0_21
<=> ! [X0,X3,X2,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f233,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(X4,sep(X1,sep(X2,sep(next(nil,X0),X3)))))
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f96,f176]) ).
fof(f176,plain,
( ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f96,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f477,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f117,f114,f53,f475]) ).
fof(f475,plain,
( spl0_34
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X4,X5),sep(lseg(X5,X0),sep(X2,sep(next(X0,X1),X3)))))
| heap(sep(lseg(X4,X0),sep(X2,sep(next(X0,X1),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f114,plain,
( spl0_15
<=> ! [X5,X3,X4,X6,X2] :
( heap(sep(lseg(X3,X5),sep(next(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f117,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X4,X5),sep(lseg(X5,X0),sep(X2,sep(next(X0,X1),X3)))))
| heap(sep(lseg(X4,X0),sep(X2,sep(next(X0,X1),X3)))) )
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f115,f54]) ).
fof(f115,plain,
( ! [X2,X3,X6,X4,X5] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2))))
| heap(sep(lseg(X3,X5),sep(next(X5,X6),X2))) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f445,plain,
( spl0_33
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f135,f126,f53,f443]) ).
fof(f443,plain,
( spl0_33
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(lseg(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f135,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(lseg(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3 )
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f127,f54]) ).
fof(f441,plain,
( spl0_32
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f132,f126,f53,f439]) ).
fof(f439,plain,
( spl0_32
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X4,X0),sep(lseg(X1,X2),sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(lseg(X1,X2),X3)))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f132,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X4,X0),sep(lseg(X1,X2),sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(lseg(X1,X2),X3)))
| X1 = X2 )
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f127,f54]) ).
fof(f409,plain,
( spl0_31
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f123,f114,f53,f407]) ).
fof(f407,plain,
( spl0_31
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(next(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f123,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(next(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) )
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f115,f54]) ).
fof(f405,plain,
( spl0_30
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f120,f114,f53,f403]) ).
fof(f403,plain,
( spl0_30
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X4,X0),sep(next(X1,X2),sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(next(X1,X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f120,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X4,X0),sep(next(X1,X2),sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(next(X1,X2),X3))) )
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f115,f54]) ).
fof(f401,plain,
( spl0_29
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f164,f156,f53,f399]) ).
fof(f399,plain,
( spl0_29
<=> ! [X2,X4,X0,X3,X1] : ~ heap(sep(X2,sep(next(X0,X1),sep(next(X0,X3),X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f164,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(X2,sep(next(X0,X1),sep(next(X0,X3),X4))))
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f157,f54]) ).
fof(f382,plain,
( spl0_28
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f109,f105,f53,f380]) ).
fof(f380,plain,
( spl0_28
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(next(X4,X0),sep(X2,sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(X2,X3)))
| X0 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f105,plain,
( spl0_14
<=> ! [X3,X4,X5,X2] :
( X3 = X4
| heap(sep(lseg(X3,X5),X2))
| ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(next(X4,X0),sep(X2,sep(lseg(X0,X1),X3))))
| heap(sep(lseg(X4,X1),sep(X2,X3)))
| X0 = X4 )
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f106,f54]) ).
fof(f106,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
| heap(sep(lseg(X3,X5),X2))
| X3 = X4 )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f362,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f99,f87,f53,f360]) ).
fof(f360,plain,
( spl0_27
<=> ! [X0,X3,X2,X1] :
( ~ heap(sep(lseg(X3,X0),sep(X1,sep(lseg(X0,nil),X2))))
| heap(sep(lseg(X3,nil),sep(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f99,plain,
( ! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X3,X0),sep(X1,sep(lseg(X0,nil),X2))))
| heap(sep(lseg(X3,nil),sep(X1,X2))) )
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f88,f54]) ).
fof(f349,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f111,f105,f53,f347]) ).
fof(f347,plain,
( spl0_26
<=> ! [X0,X3,X2,X1] :
( ~ heap(sep(lseg(X1,X2),sep(next(X0,X1),X3)))
| heap(sep(lseg(X0,X2),X3))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f111,plain,
( ! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X1,X2),sep(next(X0,X1),X3)))
| heap(sep(lseg(X0,X2),X3))
| X0 = X1 )
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f106,f54]) ).
fof(f332,plain,
( spl0_25
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f90,f83,f53,f330]) ).
fof(f330,plain,
( spl0_25
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(lseg(X0,X4),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X4
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f83,plain,
( spl0_11
<=> ! [X3,X4,X5,X2] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f90,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X0,X4),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X4
| X0 = X1 )
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f84,f54]) ).
fof(f84,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2)))
| X3 = X4
| X3 = X5 )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f318,plain,
( spl0_24
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f102,f87,f53,f316]) ).
fof(f316,plain,
( spl0_24
<=> ! [X2,X0,X1] :
( ~ heap(sep(lseg(X1,nil),sep(lseg(X0,X1),X2)))
| heap(sep(lseg(X0,nil),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f102,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(lseg(X1,nil),sep(lseg(X0,X1),X2)))
| heap(sep(lseg(X0,nil),X2)) )
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f88,f54]) ).
fof(f185,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f108,f105,f36,f183]) ).
fof(f36,plain,
( spl0_5
<=> ! [X2,X3] : sep(lseg(X3,X3),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f108,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(next(X2,X0),X1))
| heap(sep(lseg(X2,X0),X1))
| X0 = X2 )
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f106,f37]) ).
fof(f37,plain,
( ! [X2,X3] : sep(lseg(X3,X3),X2) = X2
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f181,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f78,f75,f53,f179]) ).
fof(f179,plain,
( spl0_22
<=> ! [X4,X0,X3,X2,X1] :
( ~ heap(sep(next(X0,X4),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f75,plain,
( spl0_10
<=> ! [X3,X4,X5,X2] :
( X3 = X5
| ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ heap(sep(next(X0,X4),sep(X2,sep(lseg(X0,X1),X3))))
| X0 = X1 )
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f76,f54]) ).
fof(f76,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2)))
| X3 = X5 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f177,plain,
( spl0_21
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f57,f53,f175]) ).
fof(f57,plain,
( ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2)))
| ~ spl0_9 ),
inference(superposition,[],[f54,f54]) ).
fof(f169,plain,
( spl0_20
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f80,f75,f53,f167]) ).
fof(f167,plain,
( spl0_20
<=> ! [X0,X3,X2,X1] :
( ~ heap(sep(lseg(X0,X2),sep(next(X0,X1),X3)))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f80,plain,
( ! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X2),sep(next(X0,X1),X3)))
| X0 = X2 )
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f76,f54]) ).
fof(f158,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f68,f53,f49,f156]) ).
fof(f49,plain,
( spl0_8
<=> ! [X3,X4,X5,X2] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f68,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3))))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f50,f54]) ).
fof(f50,plain,
( ! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f154,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f137,f95,f53,f152]) ).
fof(f152,plain,
( spl0_18
<=> ! [X2,X0,X1,X3] : ~ heap(sep(X3,sep(X1,sep(next(nil,X0),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f137,plain,
( ! [X2,X3,X0,X1] : ~ heap(sep(X3,sep(X1,sep(next(nil,X0),X2))))
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f96,f54]) ).
fof(f145,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f65,f53,f40,f143]) ).
fof(f40,plain,
( spl0_6
<=> ! [X4,X2] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f65,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f41,f54]) ).
fof(f41,plain,
( ! [X2,X4] :
( ~ heap(sep(lseg(nil,X4),X2))
| nil = X4 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f128,plain,
spl0_16,
inference(avatar_split_clause,[],[f11,f126]) ).
fof(f11,axiom,
! [X2,X3,X6,X4,X5] :
( X5 = X6
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f116,plain,
spl0_15,
inference(avatar_split_clause,[],[f10,f114]) ).
fof(f10,axiom,
! [X2,X3,X6,X4,X5] :
( heap(sep(lseg(X3,X5),sep(next(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f107,plain,
spl0_14,
inference(avatar_split_clause,[],[f8,f105]) ).
fof(f8,axiom,
! [X2,X3,X4,X5] :
( X3 = X4
| heap(sep(lseg(X3,X5),X2))
| ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f97,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f67,f53,f32,f95]) ).
fof(f32,plain,
( spl0_4
<=> ! [X2,X4] : ~ heap(sep(next(nil,X4),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f67,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f33,f54]) ).
fof(f33,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f89,plain,
spl0_12,
inference(avatar_split_clause,[],[f9,f87]) ).
fof(f9,axiom,
! [X2,X3,X4] :
( heap(sep(lseg(X3,nil),X2))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f85,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f83]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f77,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f75]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f55,plain,
spl0_9,
inference(avatar_split_clause,[],[f1,f53]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f51,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f49]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f47,plain,
spl0_7,
inference(avatar_split_clause,[],[f14,f44]) ).
fof(f14,axiom,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f42,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f40]) ).
fof(f4,axiom,
! [X2,X4] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f38,plain,
spl0_5,
inference(avatar_split_clause,[],[f2,f36]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f3,f32]) ).
fof(f3,axiom,
! [X2,X4] : ~ heap(sep(next(nil,X4),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f13,f27]) ).
fof(f13,axiom,
nil != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f12,f22]) ).
fof(f22,plain,
( spl0_2
<=> nil = x1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f12,axiom,
nil != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f20,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f15,f17]) ).
fof(f15,axiom,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW400-1 : TPTP v8.2.0. Released v5.2.0.
% 0.04/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:04:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (12536)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12530)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12534)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12533)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12535)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12531)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.42 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12532)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 % (12536)Instruction limit reached!
% 0.21/0.42 % (12536)------------------------------
% 0.21/0.42 % (12536)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (12536)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (12536)Termination reason: Time limit
% 0.21/0.42 % (12536)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (12536)Memory used [KB]: 1086
% 0.21/0.42 % (12536)Time elapsed: 0.034 s
% 0.21/0.42 % (12536)Instructions burned: 116 (million)
% 0.21/0.43 TRYING [3]
% 0.21/0.44 % (12531)First to succeed.
% 0.21/0.44 % (12531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12529"
% 0.21/0.44 % (12529)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (12531)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (12531)------------------------------
% 0.21/0.44 % (12531)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (12531)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (12531)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (12531)Memory used [KB]: 1176
% 0.21/0.44 % (12531)Time elapsed: 0.028 s
% 0.21/0.44 % (12531)Instructions burned: 41 (million)
% 0.21/0.44 % (12531)------------------------------
% 0.21/0.44 % (12531)------------------------------
% 0.21/0.44 % (12529)Success in time 0.083 s
%------------------------------------------------------------------------------