TSTP Solution File: DAT082_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : Fri Sep 1 14:17:15 EDT 2023
% Result : Theorem 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 66
% Syntax : Number of formulae : 136 ( 50 unt; 18 typ; 0 def)
% Number of atoms : 287 ( 83 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 255 ( 86 ~; 84 |; 47 &)
% ( 37 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 259 ( 57 atm; 28 fun; 72 num; 102 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 29 ( 16 >; 13 *; 0 +; 0 <<)
% Number of predicates : 34 ( 29 usr; 26 prp; 0-2 aty)
% Number of functors : 18 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 173 (; 145 !; 28 ?; 173 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_12,type,
sK2: ( $int * list ) > $int ).
tff(func_def_13,type,
sK3: ( $int * list ) > list ).
tff(func_def_14,type,
sK4: ( $int * list ) > $int ).
tff(func_def_15,type,
sK5: ( $int * list ) > list ).
tff(func_def_16,type,
sK6: ( $int * list ) > $int ).
tff(func_def_17,type,
sK7: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sP0: ( $int * list ) > $o ).
tff(pred_def_7,type,
sP1: ( $int * list ) > $o ).
tff(f219,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f100,f105,f109,f113,f117,f121,f125,f129,f133,f137,f141,f145,f149,f153,f157,f162,f166,f170,f174,f178,f182,f193,f197,f201,f218]) ).
tff(f218,plain,
( spl8_1
| ~ spl8_3
| ~ spl8_25 ),
inference(avatar_contradiction_clause,[],[f217]) ).
tff(f217,plain,
( $false
| spl8_1
| ~ spl8_3
| ~ spl8_25 ),
inference(evaluation,[],[f216]) ).
tff(f216,plain,
( ( 2 != $sum(2,0) )
| spl8_1
| ~ spl8_3
| ~ spl8_25 ),
inference(forward_demodulation,[],[f215,f104]) ).
tff(f104,plain,
( ( 0 = length(nil) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f102,plain,
( spl8_3
<=> ( 0 = length(nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f215,plain,
( ( 2 != $sum(2,length(nil)) )
| spl8_1
| ~ spl8_25 ),
inference(evaluation,[],[f214]) ).
tff(f214,plain,
( ( 2 != $sum(1,$sum(1,length(nil))) )
| spl8_1
| ~ spl8_25 ),
inference(forward_demodulation,[],[f213,f200]) ).
tff(f200,plain,
( ! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) )
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f199,plain,
( spl8_25
<=> ! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
tff(f213,plain,
( ( 2 != $sum(1,length(cons(2,nil))) )
| spl8_1
| ~ spl8_25 ),
inference(superposition,[],[f95,f200]) ).
tff(f95,plain,
( ( 2 != length(cons(1,cons(2,nil))) )
| spl8_1 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f93,plain,
( spl8_1
<=> ( 2 = length(cons(1,cons(2,nil))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
tff(f201,plain,
spl8_25,
inference(avatar_split_clause,[],[f69,f199]) ).
tff(f69,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l_1) ).
tff(f197,plain,
spl8_24,
inference(avatar_split_clause,[],[f26,f195]) ).
tff(f195,plain,
( spl8_24
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_147,[]) ).
tff(f193,plain,
spl8_23,
inference(avatar_split_clause,[],[f25,f191]) ).
tff(f191,plain,
( spl8_23
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_146,[]) ).
tff(f182,plain,
spl8_22,
inference(avatar_split_clause,[],[f79,f180]) ).
tff(f180,plain,
( spl8_22
<=> ! [X0: $int,X1: list] :
( in(X0,X1)
| ~ $less(0,count(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
tff(f79,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
| ~ $less(0,count(X0,X1)) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: $int,X1: list] :
( ( in(X0,X1)
| ~ $less(0,count(X0,X1)) )
& ( $less(0,count(X0,X1))
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
<=> $less(0,count(X0,X1)) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X5: $int,X1: list] :
( in(X5,X1)
<=> $less(0,count(X5,X1)) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,axiom,
! [X5: $int,X1: list] :
( in(X5,X1)
<=> $greater(count(X5,X1),0) ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',a_8) ).
tff(f178,plain,
spl8_21,
inference(avatar_split_clause,[],[f78,f176]) ).
tff(f176,plain,
( spl8_21
<=> ! [X0: $int,X1: list] :
( $less(0,count(X0,X1))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
tff(f78,plain,
! [X0: $int,X1: list] :
( $less(0,count(X0,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tff(f174,plain,
( spl8_20
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f158,f139,f172]) ).
tff(f172,plain,
( spl8_20
<=> ! [X0: $int] : sP0(X0,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
tff(f139,plain,
( spl8_12
<=> ! [X0: $int,X1: list] :
( sP0(X0,X1)
| ( nil != X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
tff(f158,plain,
( ! [X0: $int] : sP0(X0,nil)
| ~ spl8_12 ),
inference(equality_resolution,[],[f140]) ).
tff(f140,plain,
( ! [X0: $int,X1: list] :
( ( nil != X1 )
| sP0(X0,X1) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f170,plain,
spl8_19,
inference(avatar_split_clause,[],[f30,f168]) ).
tff(f168,plain,
( spl8_19
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
tff(f30,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_164,[]) ).
tff(f166,plain,
spl8_18,
inference(avatar_split_clause,[],[f28,f164]) ).
tff(f164,plain,
( spl8_18
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_150,[]) ).
tff(f162,plain,
spl8_17,
inference(avatar_split_clause,[],[f19,f160]) ).
tff(f160,plain,
( spl8_17
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f157,plain,
spl8_16,
inference(avatar_split_clause,[],[f87,f155]) ).
tff(f155,plain,
( spl8_16
<=> ! [X0: $int,X1: list] :
( in(X0,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
tff(f87,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: $int,X1: list] :
( ( in(X0,X1)
| ~ sP1(X0,X1) )
& ( sP1(X0,X1)
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
<=> sP1(X0,X1) ),
inference(definition_folding,[],[f37,f45]) ).
tff(f45,plain,
! [X0: $int,X1: list] :
( sP1(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( in(X0,X3)
& ( cons(X2,X3) = X1 ) )
| ? [X4: $int,X5: list] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f37,plain,
! [X0: $int,X1: list] :
( in(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( in(X0,X3)
& ( cons(X2,X3) = X1 ) )
| ? [X4: $int,X5: list] :
( ( X0 = X4 )
& ( cons(X4,X5) = X1 ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: $int,X1: list] :
( in(X2,X1)
<=> ( ? [X3: $int,X4: list] :
( in(X2,X4)
& ( cons(X3,X4) = X1 ) )
| ? [X3: $int,X4: list] :
( ( X2 = X3 )
& ( cons(X3,X4) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',in_conv) ).
tff(f153,plain,
spl8_15,
inference(avatar_split_clause,[],[f86,f151]) ).
tff(f151,plain,
( spl8_15
<=> ! [X0: $int,X1: list] :
( sP1(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
tff(f86,plain,
! [X0: $int,X1: list] :
( sP1(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f149,plain,
spl8_14,
inference(avatar_split_clause,[],[f77,f147]) ).
tff(f147,plain,
( spl8_14
<=> ! [X0: $int,X1: list] :
( inRange(X0,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
tff(f77,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| ~ inRange(X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> sP0(X0,X1) ),
inference(definition_folding,[],[f35,f43]) ).
tff(f43,plain,
! [X0: $int,X1: list] :
( sP0(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f35,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
<=> ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 ) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X5: $int,X1: list] :
( inRange(X5,X1)
<=> ( ? [X0: $int,X4: list] :
( inRange(X5,X4)
& $less(X0,X5)
& ~ $less(X0,0)
& ( cons(X0,X4) = X1 ) )
| ( nil = X1 ) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X5: $int,X1: list] :
( inRange(X5,X1)
<=> ( ? [X0: $int,X4: list] :
( inRange(X5,X4)
& $less(X0,X5)
& $lesseq(0,X0)
& ( cons(X0,X4) = X1 ) )
| ( nil = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',inRange) ).
tff(f145,plain,
spl8_13,
inference(avatar_split_clause,[],[f76,f143]) ).
tff(f143,plain,
( spl8_13
<=> ! [X0: $int,X1: list] :
( sP0(X0,X1)
| ~ inRange(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
tff(f76,plain,
! [X0: $int,X1: list] :
( sP0(X0,X1)
| ~ inRange(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tff(f141,plain,
spl8_12,
inference(avatar_split_clause,[],[f74,f139]) ).
tff(f74,plain,
! [X0: $int,X1: list] :
( sP0(X0,X1)
| ( nil != X1 ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: $int,X1: list] :
( ( sP0(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ( inRange(X0,sK3(X0,X1))
& $less(sK2(X0,X1),X0)
& ~ $less(sK2(X0,X1),0)
& ( cons(sK2(X0,X1),sK3(X0,X1)) = X1 ) )
| ( nil = X1 )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f49,f50]) ).
tff(f50,plain,
! [X0: $int,X1: list] :
( ? [X4: $int,X5: list] :
( inRange(X0,X5)
& $less(X4,X0)
& ~ $less(X4,0)
& ( cons(X4,X5) = X1 ) )
=> ( inRange(X0,sK3(X0,X1))
& $less(sK2(X0,X1),X0)
& ~ $less(sK2(X0,X1),0)
& ( cons(sK2(X0,X1),sK3(X0,X1)) = X1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f49,plain,
! [X0: $int,X1: list] :
( ( sP0(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X4: $int,X5: list] :
( inRange(X0,X5)
& $less(X4,X0)
& ~ $less(X4,0)
& ( cons(X4,X5) = X1 ) )
| ( nil = X1 )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: list] :
( ( sP0(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: list] :
( ( sP0(X0,X1)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X0,X3)
| ~ $less(X2,X0)
| $less(X2,0)
| ( cons(X2,X3) != X1 ) )
& ( nil != X1 ) ) )
& ( ? [X2: $int,X3: list] :
( inRange(X0,X3)
& $less(X2,X0)
& ~ $less(X2,0)
& ( cons(X2,X3) = X1 ) )
| ( nil = X1 )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
tff(f137,plain,
spl8_11,
inference(avatar_split_clause,[],[f68,f135]) ).
tff(f135,plain,
( spl8_11
<=> ! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
tff(f68,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l1) ).
tff(f133,plain,
spl8_10,
inference(avatar_split_clause,[],[f67,f131]) ).
tff(f131,plain,
( spl8_10
<=> ! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
tff(f67,plain,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l2) ).
tff(f129,plain,
spl8_9,
inference(avatar_split_clause,[],[f23,f127]) ).
tff(f127,plain,
( spl8_9
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
tff(f23,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f125,plain,
spl8_8,
inference(avatar_split_clause,[],[f66,f123]) ).
tff(f123,plain,
( spl8_8
<=> ! [X0: $int,X1: list] : ( cons(X0,X1) != nil ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
tff(f66,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l4) ).
tff(f121,plain,
spl8_7,
inference(avatar_split_clause,[],[f64,f119]) ).
tff(f119,plain,
( spl8_7
<=> ! [X0: list] : ( append(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
tff(f64,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: list] : ( append(nil,X0) = X0 ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: list] : ( append(nil,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l_6) ).
tff(f117,plain,
spl8_6,
inference(avatar_split_clause,[],[f63,f115]) ).
tff(f115,plain,
( spl8_6
<=> ! [X0: $int] : ( 0 = count(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
tff(f63,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $int] : ( 0 = count(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',a) ).
tff(f113,plain,
spl8_5,
inference(avatar_split_clause,[],[f29,f111]) ).
tff(f111,plain,
( spl8_5
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
tff(f29,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f109,plain,
spl8_4,
inference(avatar_split_clause,[],[f21,f107]) ).
tff(f107,plain,
( spl8_4
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
tff(f21,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_140,[]) ).
tff(f105,plain,
spl8_3,
inference(avatar_split_clause,[],[f62,f102]) ).
tff(f62,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',l) ).
tff(f100,plain,
spl8_2,
inference(avatar_split_clause,[],[f24,f98]) ).
tff(f98,plain,
( spl8_2
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f96,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f61,f93]) ).
tff(f61,plain,
2 != length(cons(1,cons(2,nil))),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
2 != length(cons(1,cons(2,nil))),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
( ~ 2 = length(cons(1,cons(2,nil))) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
2 = length(cons(1,cons(2,nil))),
file('/export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% 0.04/0.10 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Aug 30 14:40:17 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.32 % (12046)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.33 % (12141)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.33 % (12145)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.33 % (12142)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.33 % (12141)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.33 % (12141)Terminated due to inappropriate strategy.
% 0.14/0.33 % (12141)------------------------------
% 0.14/0.33 % (12141)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.33 % (12141)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.33 % (12141)Termination reason: Inappropriate
% 0.14/0.33
% 0.14/0.33 % (12141)Memory used [KB]: 895
% 0.14/0.33 % (12141)Time elapsed: 0.001 s
% 0.14/0.33 % (12141)------------------------------
% 0.14/0.33 % (12141)------------------------------
% 0.14/0.33 % (12146)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_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.33 % (12144)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.33 % (12148)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.33 % (12149)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.33 % (12145)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.33 % (12145)Terminated due to inappropriate strategy.
% 0.14/0.33 % (12145)------------------------------
% 0.14/0.33 % (12145)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.33 % (12145)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.33 % (12145)Termination reason: Inappropriate
% 0.14/0.33
% 0.14/0.33 % (12145)Memory used [KB]: 895
% 0.14/0.33 % (12145)Time elapsed: 0.002 s
% 0.14/0.33 % (12145)------------------------------
% 0.14/0.33 % (12145)------------------------------
% 0.14/0.33 % (12142)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.33 % (12142)Terminated due to inappropriate strategy.
% 0.14/0.33 % (12142)------------------------------
% 0.14/0.33 % (12142)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.33 % (12142)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.33 % (12142)Termination reason: Inappropriate
% 0.14/0.33
% 0.14/0.33 % (12142)Memory used [KB]: 895
% 0.14/0.33 % (12142)Time elapsed: 0.002 s
% 0.14/0.33 % (12142)------------------------------
% 0.14/0.33 % (12142)------------------------------
% 0.14/0.33 % (12146)First to succeed.
% 0.14/0.33 % (12160)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.14/0.33 % (12146)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Theorem for Vampire---4
% 0.14/0.33 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.33 % (12146)------------------------------
% 0.14/0.33 % (12146)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.33 % (12146)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.33 % (12146)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (12146)Memory used [KB]: 5500
% 0.14/0.33 % (12146)Time elapsed: 0.005 s
% 0.14/0.33 % (12146)------------------------------
% 0.14/0.33 % (12146)------------------------------
% 0.14/0.33 % (12046)Success in time 0.036 s
% 0.14/0.33 12160 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.FHHXfRVA0c/Vampire---4.8_10971
% 0.14/0.33 % (12160)------------------------------
% 0.14/0.33 % (12160)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.33 % (12160)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.33 % (12160)Termination reason: Unknown
% 0.14/0.33 % (12160)Termination phase: Saturation
% 0.14/0.33
% 0.14/0.33 % (12160)Memory used [KB]: 895
% 0.14/0.33 % (12160)Time elapsed: 0.003 s
% 0.14/0.33 % (12160)------------------------------
% 0.14/0.33 % (12160)------------------------------
% 0.14/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------