TSTP Solution File: DAT061_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT061_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Tue Apr 30 11:03:56 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 62
% Syntax : Number of formulae : 143 ( 37 unt; 11 typ; 0 def)
% Number of atoms : 294 ( 83 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 285 ( 123 ~; 118 |; 7 &)
% ( 33 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 346 ( 77 atm; 99 fun; 22 num; 148 var)
% Number of types : 3 ( 2 usr; 1 ari)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 34 ( 31 usr; 32 prp; 0-2 aty)
% Number of functors : 13 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 206 ( 195 !; 11 ?; 206 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_8,type,
sK0: data ).
tff(func_def_9,type,
sK1: array ).
tff(func_def_10,type,
sK2: $int ).
tff(func_def_11,type,
sK3: $int ).
tff(func_def_12,type,
sK4: ( array * array ) > $int ).
tff(f298,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f51,f55,f59,f63,f67,f71,f75,f79,f83,f87,f97,f101,f107,f118,f122,f147,f169,f176,f187,f197,f204,f213,f217,f221,f226,f262,f266,f285,f289,f293,f297]) ).
tff(f297,plain,
( ~ spl5_3
| ~ spl5_26 ),
inference(avatar_contradiction_clause,[],[f295]) ).
tff(f295,plain,
( $false
| ~ spl5_3
| ~ spl5_26 ),
inference(resolution,[],[f225,f54]) ).
tff(f54,plain,
( ! [X0: $int] : ~ $less(X0,X0)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f53,plain,
( spl5_3
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f225,plain,
( $less(sK2,sK2)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f223]) ).
tff(f223,plain,
( spl5_26
<=> $less(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
tff(f293,plain,
( spl5_31
| ~ spl5_8
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f141,f120,f73,f291]) ).
tff(f291,plain,
( spl5_31
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
tff(f73,plain,
( spl5_8
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
tff(f120,plain,
( spl5_16
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
tff(f141,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) )
| ~ spl5_8
| ~ spl5_16 ),
inference(superposition,[],[f121,f74]) ).
tff(f74,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f121,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f289,plain,
( spl5_30
| ~ spl5_8
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f137,f120,f73,f287]) ).
tff(f287,plain,
( spl5_30
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
tff(f137,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) )
| ~ spl5_8
| ~ spl5_16 ),
inference(superposition,[],[f121,f74]) ).
tff(f285,plain,
( spl5_29
| ~ spl5_8
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f124,f116,f73,f283]) ).
tff(f283,plain,
( spl5_29
<=> ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
tff(f116,plain,
( spl5_15
<=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
tff(f124,plain,
( ! [X0: $int,X1: $int] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) )
| ~ spl5_8
| ~ spl5_15 ),
inference(superposition,[],[f117,f74]) ).
tff(f117,plain,
( ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) )
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f266,plain,
( spl5_28
| ~ spl5_7
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f140,f120,f69,f264]) ).
tff(f264,plain,
( spl5_28
<=> ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
tff(f69,plain,
( spl5_7
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
tff(f140,plain,
( ! [X0: $int,X1: $int] :
( $less($sum(X1,$uminus(X0)),0)
| ~ $less(X1,X0) )
| ~ spl5_7
| ~ spl5_16 ),
inference(superposition,[],[f121,f70]) ).
tff(f70,plain,
( ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f69]) ).
tff(f262,plain,
( spl5_27
| ~ spl5_7
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f136,f120,f69,f260]) ).
tff(f260,plain,
( spl5_27
<=> ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
tff(f136,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) )
| ~ spl5_7
| ~ spl5_16 ),
inference(superposition,[],[f121,f70]) ).
tff(f226,plain,
( spl5_26
| ~ spl5_1
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f199,f194,f43,f223]) ).
tff(f43,plain,
( spl5_1
<=> $less(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f194,plain,
( spl5_21
<=> ( sK2 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
tff(f199,plain,
( $less(sK2,sK2)
| ~ spl5_1
| ~ spl5_21 ),
inference(superposition,[],[f45,f196]) ).
tff(f196,plain,
( ( sK2 = sK3 )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f194]) ).
tff(f45,plain,
( $less(sK2,sK3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f221,plain,
( spl5_25
| ~ spl5_7
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f163,f145,f69,f219]) ).
tff(f219,plain,
( spl5_25
<=> ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
tff(f145,plain,
( spl5_17
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
tff(f163,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 )
| ~ spl5_7
| ~ spl5_17 ),
inference(evaluation,[],[f148]) ).
tff(f148,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = $sum(0,X1) )
| ~ spl5_7
| ~ spl5_17 ),
inference(superposition,[],[f146,f70]) ).
tff(f146,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) )
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f217,plain,
( spl5_24
| ~ spl5_8
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f92,f81,f73,f215]) ).
tff(f215,plain,
( spl5_24
<=> ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
tff(f81,plain,
( spl5_10
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
tff(f92,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) )
| ~ spl5_8
| ~ spl5_10 ),
inference(superposition,[],[f82,f74]) ).
tff(f82,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f213,plain,
( spl5_23
| ~ spl5_8
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f89,f77,f73,f211]) ).
tff(f211,plain,
( spl5_23
<=> ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
tff(f77,plain,
( spl5_9
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
tff(f89,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) )
| ~ spl5_8
| ~ spl5_9 ),
inference(superposition,[],[f78,f74]) ).
tff(f78,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f204,plain,
( spl5_22
| ~ spl5_3
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f88,f77,f53,f202]) ).
tff(f202,plain,
( spl5_22
<=> ! [X0: $int] : $less(X0,$sum(X0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
tff(f88,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl5_3
| ~ spl5_9 ),
inference(resolution,[],[f78,f54]) ).
tff(f197,plain,
( spl5_21
| spl5_2
| ~ spl5_19 ),
inference(avatar_split_clause,[],[f183,f174,f48,f194]) ).
tff(f48,plain,
( spl5_2
<=> ( get(sK1,sK3) = get(put(sK1,sK2,sK0),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f174,plain,
( spl5_19
<=> ! [X0: $int,X3: $int,X2: array,X1: data] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
tff(f183,plain,
( ( sK2 = sK3 )
| spl5_2
| ~ spl5_19 ),
inference(trivial_inequality_removal,[],[f181]) ).
tff(f181,plain,
( ( get(sK1,sK3) != get(sK1,sK3) )
| ( sK2 = sK3 )
| spl5_2
| ~ spl5_19 ),
inference(superposition,[],[f50,f175]) ).
tff(f175,plain,
( ! [X2: array,X3: $int,X0: $int,X1: data] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) )
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f174]) ).
tff(f50,plain,
( ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) )
| spl5_2 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f187,plain,
spl5_20,
inference(avatar_split_clause,[],[f37,f185]) ).
tff(f185,plain,
( spl5_20
<=> ! [X0: array,X1: array] :
( ( X0 = X1 )
| ( get(X0,sK4(X0,X1)) != get(X1,sK4(X0,X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
tff(f37,plain,
! [X0: array,X1: array] :
( ( X0 = X1 )
| ( get(X0,sK4(X0,X1)) != get(X1,sK4(X0,X1)) ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ( get(X0,sK4(X0,X1)) != get(X1,sK4(X0,X1)) ) )
& ( ! [X3: $int] : ( get(X1,X3) = get(X0,X3) )
| ( X0 != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f30,f31]) ).
tff(f31,plain,
! [X0: array,X1: array] :
( ? [X2: $int] : ( get(X0,X2) != get(X1,X2) )
=> ( get(X0,sK4(X0,X1)) != get(X1,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f30,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ? [X2: $int] : ( get(X0,X2) != get(X1,X2) ) )
& ( ! [X3: $int] : ( get(X1,X3) = get(X0,X3) )
| ( X0 != X1 ) ) ),
inference(rectify,[],[f29]) ).
tff(f29,plain,
! [X0: array,X1: array] :
( ( ( X0 = X1 )
| ? [X2: $int] : ( get(X0,X2) != get(X1,X2) ) )
& ( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: array,X1: array] :
( ( X0 = X1 )
<=> ! [X2: $int] : ( get(X0,X2) = get(X1,X2) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: array,X6: array] :
( ( X1 = X6 )
<=> ! [X3: $int] : ( get(X1,X3) = get(X6,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_21) ).
tff(f176,plain,
spl5_19,
inference(avatar_split_clause,[],[f40,f174]) ).
tff(f40,plain,
! [X2: array,X3: $int,X0: $int,X1: data] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(ennf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( X0 != X3 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: $int,X2: data,X1: array,X0: $int] :
( ( X0 != X3 )
=> ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).
tff(f169,plain,
spl5_18,
inference(avatar_split_clause,[],[f39,f167]) ).
tff(f167,plain,
( spl5_18
<=> ! [X0: data,X3: data,X2: $int,X1: array] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
tff(f39,plain,
! [X2: $int,X3: data,X0: data,X1: array] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X4: data,X1: array,X0: $int,X5: data] : ( put(put(X1,X0,X4),X0,X5) = put(X1,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_20) ).
tff(f147,plain,
spl5_17,
inference(avatar_split_clause,[],[f9,f145]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f122,plain,
spl5_16,
inference(avatar_split_clause,[],[f16,f120]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f118,plain,
spl5_15,
inference(avatar_split_clause,[],[f11,f116]) ).
tff(f11,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f107,plain,
( spl5_14
| ~ spl5_1
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f102,f95,f43,f105]) ).
tff(f105,plain,
( spl5_14
<=> ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
tff(f95,plain,
( spl5_12
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
tff(f102,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sK3) )
| ~ spl5_1
| ~ spl5_12 ),
inference(resolution,[],[f96,f45]) ).
tff(f96,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) )
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f101,plain,
spl5_13,
inference(avatar_split_clause,[],[f15,f99]) ).
tff(f99,plain,
( spl5_13
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f97,plain,
spl5_12,
inference(avatar_split_clause,[],[f14,f95]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f87,plain,
spl5_11,
inference(avatar_split_clause,[],[f38,f85]) ).
tff(f85,plain,
( spl5_11
<=> ! [X2: data,X0: array,X1: $int] : ( get(put(X0,X1,X2),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
tff(f38,plain,
! [X2: data,X0: array,X1: $int] : ( get(put(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: array,X1: $int,X2: data] : ( get(put(X0,X1,X2),X1) = X2 ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: array,X0: $int,X2: data] : ( get(put(X1,X0,X2),X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_18) ).
tff(f83,plain,
spl5_10,
inference(avatar_split_clause,[],[f19,f81]) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f79,plain,
spl5_9,
inference(avatar_split_clause,[],[f17,f77]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f75,plain,
spl5_8,
inference(avatar_split_clause,[],[f8,f73]) ).
tff(f8,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f71,plain,
spl5_7,
inference(avatar_split_clause,[],[f12,f69]) ).
tff(f12,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f67,plain,
spl5_6,
inference(avatar_split_clause,[],[f35,f65]) ).
tff(f65,plain,
( spl5_6
<=> ! [X0: $int] : ( get(mkarray,X0) = none ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f35,plain,
! [X0: $int] : ( get(mkarray,X0) = none ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ( get(mkarray,X0) = none ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_17) ).
tff(f63,plain,
spl5_5,
inference(avatar_split_clause,[],[f18,f61]) ).
tff(f61,plain,
( spl5_5
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f18,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f59,plain,
spl5_4,
inference(avatar_split_clause,[],[f10,f57]) ).
tff(f57,plain,
( spl5_4
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f10,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f55,plain,
spl5_3,
inference(avatar_split_clause,[],[f13,f53]) ).
tff(f13,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f51,plain,
~ spl5_2,
inference(avatar_split_clause,[],[f33,f48]) ).
tff(f33,plain,
get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
( $less(sK2,sK3)
& ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f25,f27]) ).
tff(f27,plain,
( ? [X0: data,X1: array,X2: $int,X3: $int] :
( $less(X2,X3)
& ( get(X1,X3) != get(put(X1,X2,X0),X3) ) )
=> ( $less(sK2,sK3)
& ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
? [X0: data,X1: array,X2: $int,X3: $int] :
( $less(X2,X3)
& ( get(X1,X3) != get(put(X1,X2,X0),X3) ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
~ ! [X0: data,X1: array,X2: $int,X3: $int] :
( ~ $less(X2,X3)
| ( get(X1,X3) = get(put(X1,X2,X0),X3) ) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X2: data,X1: array,X0: $int,X3: $int] :
( ~ $less(X0,X3)
| ( get(X1,X3) = get(put(X1,X0,X2),X3) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X2: data,X1: array,X0: $int,X3: $int] :
( ~ $less(X0,X3)
| ( get(X1,X3) = get(put(X1,X0,X2),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_7) ).
tff(f46,plain,
spl5_1,
inference(avatar_split_clause,[],[f34,f43]) ).
tff(f34,plain,
$less(sK2,sK3),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT061_1 : TPTP v8.1.2. Released v5.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.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 : Mon Apr 29 22:13:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (31870)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (31873)WARNING: value z3 for option sas not known
% 0.14/0.38 % (31873)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 theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (31872)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (31872)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (31872)Terminated due to inappropriate strategy.
% 0.14/0.39 % (31872)------------------------------
% 0.14/0.39 % (31872)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (31872)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (31872)Memory used [KB]: 744
% 0.14/0.39 % (31872)Time elapsed: 0.003 s
% 0.14/0.39 % (31872)Instructions burned: 2 (million)
% 0.14/0.39 % (31872)------------------------------
% 0.14/0.39 % (31872)------------------------------
% 0.14/0.39 % (31871)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (31874)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (31875)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 theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (31876)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 theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (31877)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 theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (31871)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (31871)Terminated due to inappropriate strategy.
% 0.14/0.39 % (31871)------------------------------
% 0.14/0.39 % (31871)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (31871)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (31871)Memory used [KB]: 744
% 0.14/0.39 % (31871)Time elapsed: 0.004 s
% 0.14/0.39 % (31871)Instructions burned: 2 (million)
% 0.14/0.39 % (31871)------------------------------
% 0.14/0.39 % (31871)------------------------------
% 0.14/0.39 % (31874)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (31874)Terminated due to inappropriate strategy.
% 0.14/0.39 % (31874)------------------------------
% 0.14/0.39 % (31874)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (31874)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (31874)Memory used [KB]: 744
% 0.14/0.39 % (31874)Time elapsed: 0.004 s
% 0.14/0.39 % (31874)Instructions burned: 2 (million)
% 0.14/0.39 % (31874)------------------------------
% 0.14/0.39 % (31874)------------------------------
% 0.21/0.40 % (31875)First to succeed.
% 0.21/0.41 % (31875)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (31875)------------------------------
% 0.21/0.41 % (31875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (31875)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (31875)Memory used [KB]: 929
% 0.21/0.41 % (31875)Time elapsed: 0.020 s
% 0.21/0.41 % (31875)Instructions burned: 15 (million)
% 0.21/0.41 % (31875)------------------------------
% 0.21/0.41 % (31875)------------------------------
% 0.21/0.41 % (31870)Success in time 0.029 s
%------------------------------------------------------------------------------